{{{{2, 1}, {1, 1}}, {{2}, {2}}}, {{{0, 1, 0, 1}, {1, 0, 1, 0}, {1, 0, 0, 1}, 
   {0, 1, 1, 0}}, {{2, 2}, {2, 2}}}, 
 {{{1, 0, 1, 0}, {0, 1, 0, 1}, {1, 0, 0, 1}, {0, 1, 1, 0}}, 
  {{2, 2}, {2, 2}}}, {{{0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0}}, {{2, 2, 2}, {2, 2, 2}}}, 
 {{{0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 2}, {2, 2, 2}}}, {{{0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0}}, {{2, 2, 2}, {2, 2, 2}}}, 
 {{{0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0}}, 
  {{2, 2, 2}, {2, 2, 2}}}, {{{0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0}}, {{2, 2, 2}, {2, 2, 2}}}, 
 {{{0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 2}, {2, 2, 2}}}, {{{0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0}}, {{2, 2, 2}, {2, 2, 2}}}, 
 {{{0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 2}, {2, 2, 2}}}, {{{0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0}}, {{2, 2, 2}, {2, 2, 2}}}, 
 {{{0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2}, {1, 0, 0, 1, 1, 0}, {0, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1}, {1/2, 0, 1, 0, 1/2, 0}}, {{2, 3}, {2, 2, 2}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 2/3, 0, 0, 2/3, 1}, {1, 0, 2/3, 0, 1/3, 1, 0}, 
   {0, 1/3, 0, 2/3, 2/3, 0, 1/3}, {1/3, 0, 0, 2/3, 0, 2/3, 1/3}, 
   {0, 1, 2/3, 0, 1, 1/3, 0}, {1/3, 0, 2/3, 0, 2/3, 0, 1}}, 
  {{3, 3}, {2, 2, 3}}}, {{{0, 1/2, 1, 0, 1/2, 1}, {1/2, 1, 0, 1, 0, 1/2}, 
   {1, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 1, 1/2, 0, 1}, {0, 1, 1/2, 1, 1/2, 0}, 
   {1, 1/2, 0, 0, 1, 1/2}}, {{3, 3}, {3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 1, 0, 0, 1}, {0, 1, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 0, 1, 0}}, {{2, 3}, {2, 2, 2}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 1, 0, 1/2}, {0, 1, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1, 0}}, 
  {{2, 3}, {2, 2, 2}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1}, {0, 1/2, 0, 1, 1/2, 0}, {1, 0, 1/2, 0, 1/2, 0}}, 
  {{2, 3}, {2, 2, 2}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 2}, {2, 2, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1, 1, 0}, {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, {0, 1/2, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0}}, {{2, 2, 2}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1, 1/2, 0}, {1, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1}}, 
  {{2, 3}, {2, 2, 2}}}, {{{0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0}}, {{2, 2, 2}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 1/3, 2/3, 2/3, 0}, 
   {1/3, 0, 1, 1/3, 0, 2/3, 0, 2/3}, {0, 1/3, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 0, 0, 1, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 2/3}, {2/3, 0, 0, 2/3, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1/2, 0, 0, 1, 1, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1/2, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 1, 0, 0, 1, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 3/4, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/4, 0, 0, 3/4, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 3/4, 0, 0, 1, 0, 0}, 
   {0, 1/2, 3/4, 0, 0, 0, 1, 0}, {1/4, 0, 0, 3/4, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, {1, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 2, 2}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 2, 2}, {2, 2, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1}, {1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1}}, {{3, 3}, {2, 2, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0}, {1, 0, 0, 1, 0, 1}, {1/2, 0, 1, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 1, 0}}, {{2, 3}, {2, 2, 2}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 1, 0, 0, 1/2, 0, 1, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 1, 1, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 1, 1, 1/2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 3/5, 0, 0, 1, 0, 0, 1/5, 0}, 
   {3/5, 0, 0, 1/5, 0, 4/5, 2/5, 0, 2/5}, {0, 2/5, 3/5, 0, 0, 1, 0, 2/5, 0}, 
   {4/5, 0, 4/5, 4/5, 4/5, 0, 1/5, 0, 1/5}, {0, 2/5, 0, 0, 3/5, 1, 3/5, 2/5, 
    0}, {0, 1/5, 0, 2/5, 0, 0, 3/5, 0, 3/5}, {1, 0, 2/5, 0, 1/5, 1/5, 0, 0, 
    3/5}, {0, 1/5, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1/3, 0, 1, 0, 0, 0, 2/3}, 
   {1/3, 1, 0, 1, 0, 1/3, 0, 0, 0}, {0, 2/3, 1/3, 0, 1/3, 0, 1, 1/3, 1/3}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1/3, 1/3, 0, 0, 1, 2/3, 2/3, 2/3, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, {1/2, 0, 1/2, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 1, 1/3, 0, 1, 1/3, 0}, {0, 2/3, 0, 1/3, 1, 1/3, 0, 0}, 
   {0, 0, 1/3, 0, 0, 0, 1/3, 1}, {0, 2/3, 1/3, 0, 1/3, 1/3, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 0, 1/3, 0}, {0, 0, 0, 1/3, 0, 2/3, 1/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 2, 2}, {2, 2, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 2, 2}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1, 1}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/3, 0, 1, 2/3}, {2/3, 0, 1/3, 1, 0, 1/3, 0, 1/3}, 
   {0, 0, 1, 1, 0, 0, 1/3, 0}, {0, 0, 0, 0, 1/3, 1, 0, 1/3}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 2}, {2, 2, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 2/3, 0, 0, 1}, {1/3, 0, 0, 2/3, 0, 1, 1/3, 0}, 
   {1/3, 0, 0, 2/3, 0, 2/3, 0, 1}, {0, 1/3, 0, 0, 2/3, 1, 1/3, 0}, 
   {1/3, 0, 2/3, 2/3, 0, 0, 0, 1}, {2/3, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 0, 2/3, 0, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 1, 1/2, 0, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1, 0, 1/2}, {0, 1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 2/3, 0, 0, 0, 1, 1/3}, {1/3, 0, 0, 2/3, 0, 1, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 1/3}, {0, 0, 0, 0, 2/3, 0, 0, 1}, 
   {1, 0, 0, 2/3, 0, 0, 1, 0}, {1/3, 0, 0, 2/3, 2/3, 0, 1, 0}, 
   {0, 1/3, 2/3, 0, 0, 1, 0, 1/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 1, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 2/3, 1/3, 0, 0, 2/3, 0, 2/3}, {1/3, 0, 0, 1, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 1, 1/3, 1/3, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 1, 0, 2/3, 0}, {0, 1/3, 1/3, 1/3, 2/3, 0, 2/3, 0, 
    2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 2, 2}, {2, 2, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 1/2}, {1, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 1, 1/2, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 1, 0}, {1, 0, 1/2, 1, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1/4, 3/4}, {0, 0, 0, 1/4, 1/4, 0, 1/2, 0, 1/2}, 
   {3/4, 0, 0, 3/4, 0, 1/2, 0, 1/4, 0}, {1, 0, 3/4, 0, 3/4, 1/2, 0, 3/4, 0}, 
   {0, 1/2, 1/2, 1/4, 1/4, 0, 3/4, 0, 0}, {1/4, 3/4, 0, 0, 0, 1/2, 3/4, 0, 
    3/4}, {1/2, 0, 0, 1, 1/4, 0, 0, 1/2, 0}, {0, 1, 1/4, 0, 0, 1/2, 0, 1/2, 
    0}, {1/2, 0, 3/4, 0, 0, 1/2, 1, 0, 1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 2/3, 0, 0, 1, 0, 0}, {0, 1/3, 0, 2/3, 2/3, 0, 1/3, 1/3}, 
   {0, 1, 2/3, 0, 0, 1/3, 0, 0}, {1, 0, 0, 0, 2/3, 0, 1, 1/3}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 1/2}, {1, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1, 0, 1, 0, 0}, 
   {2/3, 0, 0, 1/3, 0, 1/3, 1/3}, {0, 1/3, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1/3, 0, 1/3}, {0, 1/3, 0, 1, 1/3, 1/3, 0}, 
   {0, 1/3, 1/3, 0, 0, 0, 1}, {1, 0, 1/3, 0, 1/3, 1/3, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 1/3, 1/3, 1/3, 0}, 
   {2/3, 0, 0, 1/3, 1, 0, 0, 0, 1}, {0, 1/3, 1, 1/3, 0, 0, 1/3, 0, 1/3}, 
   {1/3, 0, 2/3, 0, 1/3, 1/3, 1/3, 0, 1/3}, {1/3, 2/3, 0, 1/3, 0, 0, 0, 1, 
    0}, {0, 1/3, 1, 0, 1/3, 0, 0, 1/3, 1/3}, {1/3, 0, 0, 1/3, 0, 1, 0, 1/3, 
    1/3}, {1/3, 2/3, 0, 0, 1/3, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 1, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 1, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/3, 0, 1, 0, 0, 0}, {1/3, 0, 0, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 0, 1/3, 0, 1/3, 1/3, 1/3}, {0, 1/3, 0, 1, 0, 2/3, 0, 0}, 
   {1, 0, 1/3, 0, 1/3, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 1/2, 0, 0, 0, 1/2}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1, 0, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1/2, 1, 1, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{2/3, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 1/3, 0, 0, 1, 1/3}, {0, 2/3, 0, 1/3, 1/3, 0, 0}, 
   {0, 0, 1/3, 0, 1, 0, 2/3}, {0, 0, 0, 1, 0, 1/3, 1/3}, 
   {1/3, 1/3, 0, 1/3, 1/3, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 1, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1, 1/2, 0}, {1/2, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, {0, 1, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 1, 1, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 1/2, 0, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 0, 0, 1/5, 0, 0, 0}, {1/5, 0, 3/5, 3/5, 0, 4/5, 0, 0}, 
   {3/5, 0, 2/5, 0, 1/5, 0, 2/5, 0}, {0, 1/5, 1, 3/5, 0, 0, 2/5, 0}, 
   {3/5, 0, 0, 2/5, 3/5, 2/5, 0, 2/5}, {0, 0, 2/5, 0, 2/5, 2/5, 0, 2/5}, 
   {0, 0, 0, 2/5, 4/5, 0, 2/5, 0}, {4/5, 0, 0, 2/5, 0, 0, 2/5, 4/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/3, 0, 1, 1/3, 1/3, 0}, {0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, 
   {1, 1/3, 0, 1/3, 0, 0, 0, 1/3}, {0, 0, 2/3, 1, 0, 1/3, 1/3, 0}, 
   {0, 2/3, 1/3, 0, 1/3, 2/3, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 0, 1/2}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 1/2, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3}, {2, 2, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1, 0, 0, 2/3, 0, 1/3, 0}, 
   {0, 1, 0, 0, 2/3, 0, 1, 0, 1/3}, {1/3, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 1/3, 0, 2/3, 0, 2/3, 0, 1/3, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 2/3}, {1, 0, 1, 2/3, 2/3, 0, 1/3, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 1, 0, 1, 1/3}, {2/3, 0, 1/3, 0, 0, 1, 0, 0}, 
   {2/3, 0, 1, 0, 0, 0, 1/3, 1/3}, {0, 0, 0, 1/3, 1/3, 1, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 2}, {2, 2, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/5, 2/5, 0, 2/5, 0, 2/5, 0, 2/5}, 
   {2/5, 0, 0, 0, 4/5, 2/5, 0, 0, 0}, {0, 4/5, 4/5, 2/5, 0, 0, 0, 0, 2/5}, 
   {0, 0, 2/5, 0, 3/5, 1/5, 0, 0, 3/5}, {2/5, 2/5, 0, 1/5, 0, 0, 1/5, 1/5, 
    0}, {2/5, 0, 0, 3/5, 0, 0, 1/5, 1/5, 0}, {0, 2/5, 4/5, 0, 1/5, 1/5, 3/5, 
    1, 0}, {2/5, 0, 0, 1, 0, 2/5, 0, 0, 1/5}, {2/5, 2/5, 0, 3/5, 0, 2/5, 0, 
    0, 1/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 1, 0, 0, 1}, {1/2, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 1, 0, 1/2}, {0, 1, 1/2, 0, 0, 1/2}}, {{2, 3}, {2, 2, 2}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 1, 0, 0, 0, 1/3, 1/3}, 
   {1, 0, 0, 0, 1/3, 1/3, 0, 1/3, 1/3}, {0, 1/3, 1/3, 0, 1/3, 1/3, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1/3, 0, 1/3, 0}, {1/3, 0, 1/3, 1/3, 0, 0, 2/3, 1/3, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 1, 0, 1/3}, {0, 0, 1, 0, 0, 2/3, 0, 2/3, 1}, 
   {2/3, 0, 1, 0, 0, 0, 0, 0, 1/3}, {1/3, 1/3, 0, 2/3, 0, 0, 1/3, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/3, 1/3}, {0, 0, 1/3, 0, 1, 0, 0}, 
   {0, 1, 2/3, 0, 0, 0, 1}, {1/3, 0, 0, 2/3, 1/3, 1/3, 0}, 
   {0, 1/3, 0, 1, 1/3, 0, 1/3}, {1, 0, 1/3, 0, 1/3, 0, 1/3}, 
   {0, 1/3, 1/3, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1}}, {{3, 3}, {2, 2, 2}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 1/2, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1, 0, 1}, {1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 1, 1, 1/3, 0}, 
   {2/3, 0, 0, 1/3, 1/3, 0, 0, 0, 1/3}, {0, 2/3, 0, 0, 1/3, 1, 0, 1/3, 1}, 
   {2/3, 0, 2/3, 1/3, 0, 0, 1/3, 0, 0}, {0, 0, 2/3, 1, 2/3, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 1/3, 1/3, 0, 1/3}, {0, 0, 2/3, 0, 1/3, 2/3, 0, 1/3, 
    0}, {0, 2/3, 0, 2/3, 1/3, 0, 0, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/3, 0, 1, 1/3}, {2/3, 0, 1/3, 0, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 1/3, 1/3, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {1, 0, 1/2, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0}}, {{2, 2, 2}, {2, 2, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1, 0, 1, 1/3, 0, 0, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 2/3, 1, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 1/3, 0, 2/3, 0}, {0, 1/3, 2/3, 2/3, 1/3, 0, 0, 0, 0}, 
   {2/3, 1, 0, 0, 1/3, 0, 0, 2/3, 2/3}, {1/3, 0, 1/3, 1, 0, 1/3, 0, 0, 2/3}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1}, {0, 1, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 1, 0, 1, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 1, 1/3, 0, 1/3}, {1/3, 1, 1/3, 0, 1/3, 0, 0, 1/3, 2/3}, 
   {2/3, 0, 0, 1/3, 0, 1/3, 2/3, 1/3, 0}, {0, 2/3, 0, 2/3, 1, 0, 1/3, 0, 
    1/3}, {0, 2/3, 2/3, 0, 0, 2/3, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 
    2/3}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 1, 1/2, 1/2, 1/2, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 1, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, {0, 0, 1/2, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1, 0}, {1/2, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 1, 1/2}, 
   {1, 1/2, 0, 0, 1, 0, 1/2, 1/2, 0}, {0, 1, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0}}, {{2, 2, 2}, {2, 2, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 0, 2/3}, 
   {0, 1/3, 1/3, 1/3, 0, 1, 0, 0, 0}, {1, 2/3, 0, 2/3, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 0, 0, 0, 2/3}, {1/3, 0, 0, 1/3, 0, 1, 2/3, 2/3, 0}, 
   {1/3, 0, 0, 1, 0, 1, 0, 2/3, 0}, {0, 1/3, 1, 2/3, 1, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 1/2, 0, 1, 0, 1, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 4/5, 2/5, 0, 3/5, 0, 1/5, 2/5, 0}, {1/5, 2/5, 0, 0, 0, 3/5, 0, 1/5, 
    1}, {2/5, 0, 1/5, 0, 0, 0, 1, 0, 4/5}, {3/5, 0, 3/5, 0, 3/5, 0, 3/5, 0, 
    0}, {0, 0, 0, 3/5, 3/5, 0, 0, 0, 0}, {0, 0, 0, 3/5, 0, 0, 3/5, 3/5, 0}, 
   {0, 1, 1/5, 0, 0, 3/5, 1/5, 0, 2/5}, {4/5, 0, 2/5, 0, 0, 0, 0, 1, 1/5}, 
   {2/5, 1/5, 0, 3/5, 0, 3/5, 2/5, 1/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/3, 1/3, 1, 0}, {2/3, 0, 1/3, 0, 0, 0, 0, 1/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 2/3, 1/3, 0, 0, 1/3, 1/3, 0}, 
   {0, 0, 1, 2/3, 0, 1/3, 1/3, 0}, {0, 0, 0, 1, 1/3, 2/3, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 2/5, 0, 2/5, 0}, 
   {0, 0, 2/5, 2/5, 0, 2/5, 0, 2/5}, {1, 0, 0, 1, 3/5, 0, 2/5, 4/5}, 
   {0, 3/5, 1/5, 2/5, 0, 4/5, 2/5, 0}, {0, 3/5, 3/5, 0, 2/5, 2/5, 0, 2/5}, 
   {0, 1, 0, 3/5, 3/5, 0, 0, 4/5}, {3/5, 0, 1, 0, 0, 0, 0, 0}, 
   {3/5, 0, 1/5, 0, 0, 4/5, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1/3, 1}, {1/3, 0, 1, 2/3, 0, 0, 1, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, {2/3, 1/3, 0, 0, 0, 0, 1, 2/3, 0}, 
   {1/3, 0, 1/3, 0, 2/3, 0, 0, 1, 1/3}, {0, 1/3, 0, 0, 2/3, 2/3, 1/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 1/2, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, {1/2, 0, 0, 0, 1, 1, 0, 0, 1/2}, 
   {1/2, 1, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/4, 1/2, 0, 1/2, 0, 3/4, 0}, 
   {1/2, 0, 0, 1/4, 0, 0, 0, 0}, {1/4, 0, 0, 1/2, 1, 0, 1, 1}, 
   {0, 1/2, 1/2, 1/4, 0, 1/2, 0, 0}, {1/4, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 3/4, 0, 0, 1/2, 1/4, 0, 3/4}, {0, 0, 1, 1/4, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 3/4, 1/2, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 3/4, 0, 3/4, 0, 0, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 1/4, 1/4, 0}, 
   {0, 0, 0, 0, 1, 0, 1/4, 1/4}, {0, 0, 1/4, 1/4, 0, 1, 0, 0}, 
   {0, 1/2, 1, 1/4, 0, 0, 1, 0}, {0, 1/2, 3/4, 0, 1, 1/4, 0, 1/4}, 
   {3/4, 0, 0, 1/2, 1/4, 1/4, 0, 1/4}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1/2, 1/2, 0, 1, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 2}, {2, 2, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1/4, 0}, 
   {1/4, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 1, 1/2, 0, 3/4, 1/4, 0, 1/2}, {0, 1/4, 0, 1/4, 1/4, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 1/2, 1, 1/4, 0}, {3/4, 0, 1/4, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/4, 3/4, 0, 3/4, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 3/4, 0}, 
   {0, 0, 0, 3/4, 3/4, 1/2, 0, 1/2}, {0, 1/4, 1/4, 1/4, 0, 0, 0, 3/4}, 
   {1, 0, 0, 0, 1, 1/2, 1/2, 0}, {1/4, 0, 0, 1/2, 3/4, 0, 1/2, 1/2}, 
   {1/4, 0, 1/2, 1, 0, 3/4, 0, 0}, {0, 1, 3/4, 0, 1/4, 3/4, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 2, 2}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 1, 0, 1/3, 1/3, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 0, 0}, {0, 1/3, 1, 0, 2/3, 0, 0, 2/3}, 
   {1, 0, 0, 1/3, 1/3, 0, 2/3, 2/3}, {0, 1/3, 1/3, 2/3, 0, 2/3, 2/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1/3, 1/3}, 
   {0, 2/3, 1/3, 0, 1/3, 1/3, 0}, {2/3, 0, 0, 1, 0, 0, 1}, 
   {1/3, 0, 0, 1/3, 0, 1, 0}, {0, 1, 0, 1/3, 1/3, 0, 1/3}, 
   {1/3, 0, 1, 0, 1/3, 0, 1/3}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1/2, 1, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 1, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 3/4, 1/2, 0, 0, 0, 1/4, 0}, 
   {0, 0, 0, 1/4, 1/4, 1/2, 0, 1/2}, {0, 0, 0, 1/4, 1/4, 0, 1/2, 1/2}, 
   {0, 3/4, 1/2, 0, 3/4, 1/4, 0, 0}, {0, 0, 1/2, 0, 0, 1/4, 3/4, 0}, 
   {0, 0, 0, 1, 1, 1/2, 1/2, 0}, {0, 0, 1/2, 3/4, 0, 3/4, 0, 1}, 
   {3/4, 0, 1/2, 0, 0, 0, 0, 1/4}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/3, 0, 1/3, 0, 0, 1}, 
   {1/6, 1/6, 0, 0, 5/6, 0, 1/6, 1/6, 0}, {1/6, 0, 1/6, 2/3, 0, 0, 1/2, 1, 
    0}, {0, 1, 0, 2/3, 0, 0, 2/3, 0, 1/6}, {1/6, 0, 1/6, 0, 1/2, 1/2, 0, 1/2, 
    2/3}, {1, 0, 0, 1/6, 0, 5/6, 1/2, 0, 0}, {0, 1/6, 1/6, 0, 1, 2/3, 1/2, 0, 
    0}, {0, 1/6, 1/6, 1/2, 1/3, 0, 0, 2/3, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/4, 0, 1/4, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/4}, 
   {1/4, 0, 0, 1, 1/2, 3/4, 1/2, 0}, {1/4, 0, 1/2, 0, 1, 1/4, 0, 1}, 
   {0, 1/2, 1, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 3/4, 0, 1/4, 1/4, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/4}, {0, 1/4, 0, 0, 1, 0, 1/4, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 1, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 2}, {2, 2, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 2, 2}, {2, 2, 3}}}, {{{0, 2/3, 0, 0, 2/3, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 1, 1/3, 0, 0, 0, 0, 2/3}, 
   {1/3, 0, 0, 1/3, 1/3, 2/3, 2/3, 0}, {0, 1/3, 1/3, 2/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 0, 2/3, 0, 0, 0}, {0, 1/3, 0, 1/3, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 1/3, 0, 0, 0, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 1, 1}, 
   {0, 1, 1/2, 1, 0, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 1/3, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 0, 1/3, 1/3, 1/3, 0}, {0, 2/3, 2/3, 0, 1/3, 0, 1/3, 2/3, 0}, 
   {0, 0, 0, 2/3, 1/3, 0, 1/3, 0, 2/3}, {0, 0, 0, 1/3, 0, 1/3, 0, 1/3, 1}, 
   {2/3, 0, 0, 1/3, 0, 0, 2/3, 1, 0}, {0, 0, 0, 0, 1/3, 1, 1/3, 0, 1}, 
   {2/3, 2/3, 0, 1/3, 2/3, 0, 0, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 1, 1}, {1, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1, 0, 0}, {1, 0, 1/2, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 2}, {2, 2, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 1, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 1, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 1, 1, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 1, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 1, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 1, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {1, 0, 1, 0, 0, 1, 1/2, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 1/3, 1/3, 0, 1/3}, 
   {0, 0, 1/3, 0, 2/3, 1, 0}, {0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 1/3, 0, 1/3, 0, 1}, 
   {0, 0, 0, 1, 0, 1/3, 0}}, {{2, 2, 2}, {2, 2, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/3, 0, 0, 2/3, 0, 1/3, 1/3}, {0, 1/3, 0, 0, 1, 0, 2/3}, 
   {1, 0, 0, 0, 1/3, 0, 0}, {0, 1/3, 0, 0, 0, 1, 1/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/3, 0, 2/3, 1/3, 0, 0}, 
   {1/3, 0, 0, 0, 0, 1/3, 1}, {2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0}, {0, 1/3, 0, 0, 2/3, 1/3, 1/3}, 
   {0, 1, 0, 0, 0, 1/3, 1/3}, {1/3, 0, 0, 0, 1, 2/3, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/4, 0, 1, 0, 0, 0}, 
   {1/4, 0, 0, 0, 1/2, 0, 0, 0, 3/4}, {1/2, 0, 1/2, 0, 0, 1/4, 0, 0, 0}, 
   {0, 1/4, 0, 1/2, 1/2, 0, 0, 3/4, 0}, {0, 3/4, 1/4, 1/4, 1/2, 0, 3/4, 0, 
    0}, {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/4, 1/4, 1/2, 0, 3/4, 3/4, 
    0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, {1, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1, 0, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 1/2, 1/2, 1/2, 1, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1/3, 1, 0}, {0, 2/3, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 2/3, 0, 1/3, 0, 0}, {2/3, 0, 0, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 1, 0, 1/3, 0}, {0, 0, 0, 1/3, 0, 1/3, 2/3}, 
   {2/3, 0, 1/3, 0, 1/3, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 1, 1/3, 0, 0, 2/3}, 
   {1, 1/3, 0, 1/3, 2/3, 0, 0, 0, 0}, {1, 1, 0, 1/3, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, {1/3, 1/3, 0, 0, 1/3, 1/3, 2/3, 0, 0}, 
   {0, 2/3, 1/3, 1/3, 0, 0, 2/3, 2/3, 0}, {0, 0, 1, 1, 0, 2/3, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 1, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1/2}, {1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 1, 0, 2/3, 0, 1/3, 1/3}, 
   {0, 0, 1/3, 0, 0, 2/3, 1, 1/3}, {0, 0, 0, 1/3, 1, 1, 0, 0}, 
   {2/3, 0, 1/3, 0, 0, 1/3, 2/3, 0}, {2/3, 0, 1, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 1, 1/3, 0, 1, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1/2, 0, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 2, 2}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 0, 1/2, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1/2, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 0}, {0, 1/3, 0, 2/3, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 1, 1/3, 0}, {0, 1, 0, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 1/3, 1/3, 0, 0, 1/3}, {1/3, 0, 2/3, 0, 0, 2/3, 1}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3}, {1/3, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 1, 0, 0, 0, 2/3}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 1/3, 0, 2/3, 0, 0}, {0, 1/3, 2/3, 0, 1/3, 2/3, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1/2}, {0, 1, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 1/4, 1, 0, 0, 0, 0}, {0, 0, 1/4, 0, 0, 1/2, 3/4, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/4, 1, 0}, {3/4, 0, 3/4, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/4, 0, 0, 0, 3/4, 1/2}, {1/4, 1, 0, 1/2, 0, 1, 0, 0, 1/4}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0, 1}, {0, 0, 1/2, 1, 1/2, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 0, 0, 0, 0, 0, 2/3, 1}, {0, 1, 1/3, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {1/3, 2/3, 0, 0, 2/3, 0, 0, 0, 1/3}, {0, 1/3, 1/3, 0, 0, 0, 2/3, 0, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 0, 1, 1/3, 0}, {0, 1, 1, 0, 2/3, 0, 0, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 1, 1/3, 0, 0, 0}, 
   {0, 1/3, 1/3, 0, 0, 2/3, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 2/3}, 
   {0, 1, 0, 1/3, 1/3, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 2/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1, 1, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 2/3, 0, 1/3, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/3}, {0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0}, {1/3, 0, 0, 0, 2/3, 1/3, 1/3, 0}, 
   {0, 1, 0, 0, 0, 2/3, 0, 1}, {0, 1/3, 2/3, 0, 2/3, 0, 0, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 1/3, 1/3, 0, 0, 1, 1/3}, {0, 2/3, 0, 0, 1/3, 1/3, 0, 0}, 
   {2/3, 0, 1/3, 1/3, 0, 1, 0, 0}, {0, 2/3, 2/3, 0, 1, 0, 1/3, 1/3}, 
   {0, 0, 1/3, 1/3, 0, 1, 2/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 0, 1/3, 1/3, 1/3, 0, 0}, 
   {0, 0, 1, 0, 2/3, 0, 1/3, 1/3}, {0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3}, {0, 2/3, 1/3, 2/3, 0, 1/3, 0, 0}, 
   {0, 0, 1/3, 0, 0, 1, 2/3, 0}, {0, 0, 0, 1, 1/3, 0, 1/3, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 1/3, 0, 0, 2/3, 1, 1/3, 0}, {1, 0, 2/3, 2/3, 0, 0, 0, 1/3}, 
   {1/3, 0, 2/3, 0, 0, 2/3, 0, 1/3}, {0, 1/3, 0, 0, 0, 0, 2/3, 1/3}, 
   {1/3, 0, 0, 0, 0, 1/3, 1, 0}, {1/3, 0, 0, 2/3, 0, 1/3, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/4, 3/4, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/4, 0, 1/4}, 
   {3/4, 3/4, 0, 1/4, 0, 0, 0, 1/2, 3/4}, {0, 1/4, 1/4, 1/2, 0, 1, 0, 1/4, 
    0}, {1/2, 0, 0, 1, 1/2, 0, 1/2, 0, 1/2}, {1/2, 3/4, 0, 0, 1/4, 1/2, 0, 
    1/4, 0}, {1/4, 0, 0, 3/4, 0, 1/2, 3/4, 0, 0}, 
   {0, 1/2, 1/2, 1/4, 1/4, 0, 0, 0, 0}, {1/4, 0, 3/4, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 1, 0, 0, 1/3, 0, 0}, 
   {2/3, 2/3, 0, 0, 1/3, 1/3, 0, 1/3, 1/3}, {0, 2/3, 0, 2/3, 0, 0, 2/3, 0, 
    0}, {0, 0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 0, 1/3, 0, 2/3, 0, 1/3, 1}, {2/3, 2/3, 0, 1/3, 0, 0, 0, 1/3, 
    1/3}, {0, 0, 0, 0, 1, 1, 1/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1, 1, 0, 0, 0, 1, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {1, 0, 1/2, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 1, 0, 1/3, 1/3, 1, 0}, {2/3, 0, 0, 1, 0, 0, 0, 1/3}, 
   {0, 0, 1/3, 0, 1/3, 0, 2/3, 1}, {0, 0, 1/3, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 2/3, 1/3, 1/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 1, 1, 0, 1/2, 0, 0}, 
   {1, 0, 1, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 0, 0, 2/3, 1}, {0, 1/3, 0, 0, 2/3, 1/3, 1/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 2/3, 0, 0, 0, 2/3, 1}, {0, 1/3, 2/3, 2/3, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 1, 1/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 1/3, 0, 0, 1/3, 0}, {1/3, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 2/3}, {2/3, 0, 2/3, 0, 2/3, 1/3, 0, 0, 1/3}, 
   {1/3, 1/3, 0, 2/3, 0, 0, 1, 0, 0}, {0, 1/3, 0, 2/3, 0, 0, 1, 0, 1/3}, 
   {0, 0, 1/3, 0, 2/3, 2/3, 1, 0, 0}, {0, 2/3, 0, 1/3, 0, 0, 0, 1, 1}, 
   {0, 1/3, 2/3, 2/3, 0, 1/3, 0, 2/3, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 1/3, 0, 2/3, 1/3, 0}, {0, 2/3, 0, 1, 1/3, 0, 1}, 
   {0, 2/3, 1/3, 0, 0, 1, 2/3}, {0, 2/3, 0, 1/3, 2/3, 1, 0}, 
   {2/3, 0, 0, 1/3, 0, 1/3, 2/3}, {0, 2/3, 1, 0, 1, 0, 1/3}}, 
  {{3, 3}, {2, 2, 3}}}, {{{0, 1, 2/3, 0, 0, 1, 0}, 
   {1/3, 0, 0, 2/3, 1/3, 0, 1/3}, {0, 0, 0, 1, 0, 1/3, 1/3}, 
   {0, 0, 1/3, 0, 1, 0, 0}, {0, 1/3, 0, 1, 1/3, 1/3, 0}, 
   {0, 1/3, 1/3, 0, 0, 0, 1}, {1, 0, 1/3, 0, 1/3, 1/3, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 3/4, 1/4, 1/4, 0, 1/4, 1/4, 0}, {1/2, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 3/4, 1/4, 0, 1/4, 0, 1/4, 1/4}, {0, 1, 0, 1/4, 1/4, 1/4, 0, 1/4}, 
   {1/4, 0, 1, 0, 0, 1/4, 0, 1/4}, {1/4, 0, 0, 1/4, 1/4, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 0, 0, 1, 0, 1/2, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 0, 1/3, 1/3, 0, 1/3, 1/3}, 
   {0, 2/3, 1, 0, 0, 1, 0, 0}, {0, 0, 1/3, 1/3, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1/3, 0, 1/3}, {0, 2/3, 0, 1, 0, 0, 0, 1}, 
   {2/3, 0, 1/3, 0, 1/3, 1/3, 1/3, 0}}, {{2, 2, 2}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{3/4, 0, 3/4, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/4, 1/4}, {0, 0, 1/4, 1/4, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1/4, 1/4, 0}, {1/2, 0, 1/4, 1, 0, 0, 1, 0}, 
   {1/2, 0, 0, 3/4, 1, 1/4, 0, 1/4}, {0, 3/4, 1/2, 0, 1/4, 1/4, 0, 1/4}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 2/3, 2/3, 1/3, 0, 1/3, 0, 0, 1/3}, {0, 0, 0, 0, 1/3, 2/3, 1/3, 1/3, 
    0}, {0, 0, 2/3, 0, 1/3, 0, 1/3, 1, 0}, {0, 0, 0, 0, 1/3, 0, 2/3, 0, 1}, 
   {2/3, 2/3, 0, 0, 1/3, 0, 0, 0, 1/3}, {2/3, 0, 0, 1/3, 0, 1/3, 1/3, 1/3, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 1/2, 1, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {1, 0, 1/2, 0, 1, 0, 1, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1, 0, 1/2, 1/2, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1, 1, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1, 0, 1, 0, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 1, 0, 1/3}, {0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 1/3, 0, 1/3, 1/3, 0, 1/3}, {0, 0, 2/3, 1, 0, 0, 1/3, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 3/4, 0, 1/4, 1/4, 0}, 
   {1/4, 0, 0, 0, 0, 0, 0, 3/4, 1/2}, {1/4, 0, 0, 3/4, 0, 3/4, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 3/4, 0, 1/2, 1/4}, {1, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1/4, 0, 0, 3/4, 0, 1, 0, 1/2}, {3/4, 1/2, 0, 0, 0, 0, 0, 1/4, 0}, 
   {1/4, 0, 1/4, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 3/4, 0, 0, 3/4, 1/4, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1/2, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/3, 0, 0, 1/3, 1}, 
   {2/3, 0, 1, 0, 1/3, 1/3, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0}, {0, 0, 1, 0, 1/3, 0, 1/3, 1/3}, 
   {0, 0, 0, 1/3, 0, 1, 2/3, 0}, {2/3, 0, 0, 1/3, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 2, 2}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1/2}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1, 0, 1/3, 0, 0, 1, 0}, 
   {0, 1/3, 0, 1, 0, 2/3, 0, 0, 0}, {0, 1, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {1/3, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, {1/3, 0, 0, 0, 2/3, 0, 2/3, 0, 1/3}, 
   {0, 0, 0, 1/3, 0, 1/3, 1/3, 2/3, 0}, {0, 1/3, 1/3, 0, 2/3, 2/3, 0, 0, 
    1/3}, {0, 2/3, 0, 0, 1, 0, 1/3, 1, 0}, {2/3, 0, 1, 0, 0, 0, 1/3, 0, 
    2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 0, 0, 1, 1, 1/2, 0}, {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1/2, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1/2, 0, 1, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 3/4, 0, 0, 0, 0}, {0, 3/4, 0, 0, 0, 0, 3/4, 0, 0}, 
   {0, 1/2, 1, 1, 1/2, 0, 0, 0, 0}, {1, 0, 1/2, 0, 1/4, 1/2, 0, 0, 0}, 
   {1/2, 1/4, 0, 1/2, 0, 1, 0, 0, 3/4}, {1/2, 0, 1, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 1, 0, 0, 0}, {1, 1/2, 0, 1/2, 1/4, 0, 0, 3/4, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 2/3, 1}, {0, 0, 1/3, 1, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 2/3, 1/3, 0, 0, 1/3}, {0, 0, 0, 0, 1/3, 1, 1, 0}, 
   {0, 0, 2/3, 0, 1/3, 1, 1/3, 0}, {2/3, 0, 1/3, 1, 0, 0, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 1/3, 0, 1}, {1, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0}, {0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 2/3, 0, 0, 1, 0}, {0, 1/3, 0, 0, 2/3, 1, 0}, 
   {1, 0, 0, 0, 1/3, 0, 1/3}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 1/3, 0, 0, 1, 2/3}, {2/3, 0, 0, 1/3, 1/3, 0, 1/3}, 
   {0, 0, 0, 1, 0, 1/3, 0}, {0, 0, 0, 1/3, 2/3, 1/3, 0}, 
   {0, 2/3, 1/3, 0, 1, 0, 1/3}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 3/4, 3/4, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 3/4, 0}, {1, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {0, 1/4, 1/4, 0, 1/4, 3/4, 0, 0}, {1/4, 0, 1, 0, 1/2, 0, 0, 3/4}, 
   {1/4, 0, 1/2, 3/4, 0, 1/2, 1/2, 0}, {0, 1, 0, 1/4, 3/4, 0, 0, 3/4}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1, 1}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 1, 0, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 2/3, 0, 0, 0, 1/3}, {1/3, 0, 0, 0, 0, 1/3, 1, 0}, 
   {0, 0, 2/3, 0, 0, 1/3, 0, 2/3}, {2/3, 0, 0, 0, 0, 1/3, 2/3, 0}, 
   {0, 1, 0, 0, 0, 2/3, 1, 0}, {0, 1, 0, 0, 2/3, 0, 1/3, 0}, 
   {1/3, 0, 0, 0, 2/3, 1/3, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1/4}, 
   {0, 0, 0, 0, 0, 3/4, 0, 3/4, 0}, {3/4, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 3/4, 3/4, 1/2, 0, 1/4, 1/4, 0}, {1/4, 0, 1, 0, 1/2, 0, 3/4, 0, 
    1/2}, {0, 1/2, 0, 1, 0, 1, 0, 0, 1/2}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 2/3, 0, 0, 1/3, 0, 0}, {0, 1/3, 0, 2/3, 0, 0, 1/3, 1/3}, 
   {0, 1, 0, 0, 0, 1/3, 0, 2/3}, {1/3, 0, 0, 0, 2/3, 0, 1/3, 1/3}, 
   {2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 2/3, 2/3, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 2/3, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1, 0, 1/2, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1, 0, 1/3, 1}, {2/3, 0, 0, 1/3, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 1, 0, 0, 1/3, 1/3}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 2/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 1/3, 0, 0, 0, 0, 0}, {1/3, 0, 0, 0, 1, 1/3, 2/3, 0, 0}, 
   {0, 1/3, 1/3, 1/3, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, 
   {1/3, 0, 0, 1/3, 2/3, 0, 2/3, 0, 2/3}, {0, 1/3, 1/3, 0, 1, 1/3, 0, 0, 
    2/3}, {1/3, 0, 0, 1, 0, 2/3, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 0, 0, 1/2, 1}, 
   {1, 0, 0, 1, 0, 0, 1/2, 0, 0}, {1, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1, 1, 1/2, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/4, 1/4, 0, 0, 1/2, 1/2}, {0, 3/4, 0, 0, 1, 3/4, 0, 0}, 
   {0, 0, 0, 1/4, 1/4, 0, 0, 1}, {0, 0, 1, 0, 0, 1/4, 1/4, 0}, 
   {0, 1/2, 1/4, 0, 1/4, 0, 3/4, 1}, {0, 1/2, 0, 1, 0, 1/4, 1, 0}, 
   {3/4, 0, 1/4, 0, 1/4, 1/2, 0, 1/4}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 2/3, 2/3, 1/3, 0, 0, 0, 0, 1/3}, {0, 0, 0, 0, 1/3, 1/3, 1/3, 1, 0}, 
   {0, 2/3, 0, 1/3, 2/3, 0, 0, 0, 1/3}, {0, 0, 0, 0, 1/3, 1/3, 2/3, 0, 1}, 
   {1, 1/3, 1/3, 1/3, 0, 0, 0, 0, 1/3}, {0, 0, 0, 1, 2/3, 0, 1/3, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 2/3, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 1/3, 1, 0, 1, 0}, 
   {0, 2/3, 0, 1, 0, 0, 1/3, 0, 1}, {2/3, 0, 0, 0, 1/3, 1/3, 0, 1/3, 0}, 
   {0, 2/3, 2/3, 0, 1/3, 1, 1/3, 0, 1}, {0, 2/3, 2/3, 1, 0, 0, 0, 1, 0}, 
   {2/3, 0, 0, 1, 2/3, 0, 0, 1/3, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1/7, 0, 0, 6/7, 4/7, 0, 3/7, 3/7}, 
   {0, 2/7, 5/7, 4/7, 2/7, 0, 3/7, 0, 0}, {2/7, 0, 1, 2/7, 0, 2/7, 3/7, 0, 
    2/7}, {0, 0, 1, 0, 2/7, 0, 0, 5/7, 3/7}, {1/7, 5/7, 0, 6/7, 0, 2/7, 1/7, 
    0, 0}, {1/7, 5/7, 0, 0, 0, 2/7, 1, 0, 0}, {2/7, 0, 4/7, 0, 2/7, 2/7, 6/7, 
    0, 0}, {0, 6/7, 0, 0, 0, 4/7, 0, 4/7, 4/7}, {4/7, 2/7, 0, 4/7, 0, 0, 0, 
    0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 1, 0, 0, 2/3}, 
   {1/3, 0, 0, 1, 0, 2/3, 0, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {1/3, 0, 1, 0, 1, 2/3, 0, 0}, {0, 1/3, 0, 1/3, 2/3, 0, 0, 2/3}, 
   {0, 1/3, 0, 1/3, 0, 0, 2/3, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 2, 2}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 2, 2}, {2, 2, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{3/4, 0, 1/2, 0, 0, 3/4, 0, 0, 1/4}, 
   {1/4, 1/4, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 3/4, 0, 1/4}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/4, 0, 1/4}, {1/4, 0, 1/4, 1/2, 0, 0, 0, 1/2, 
    3/4}, {0, 1/2, 0, 0, 1/4, 1/4, 0, 1/2, 0}, {0, 1, 1/4, 1/4, 0, 0, 0, 1, 
    1/2}, {1/2, 0, 3/4, 1/4, 3/4, 0, 1/4, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0}, {1/3, 0, 1/3, 1, 1/3, 0, 1/3, 0}, 
   {0, 1/3, 0, 0, 0, 2/3, 1, 0}, {1, 0, 2/3, 2/3, 0, 1/3, 0, 1/3}, 
   {1/3, 0, 2/3, 0, 0, 0, 1/3, 2/3}, {1, 0, 2/3, 2/3, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 0, 0, 1/3, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 2/3, 2/3, 0, 1/3, 1/3}, {1/3, 0, 2/3, 2/3, 0, 1/3, 0, 0}, 
   {0, 1, 0, 0, 0, 1/3, 2/3, 0}, {0, 1/3, 0, 0, 2/3, 1/3, 0, 0}, 
   {1/3, 0, 0, 0, 2/3, 0, 1/3, 1/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/4, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/4, 1, 0}, {0, 1/4, 1/4, 0, 3/4, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 3/4, 1/4, 1/4, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 3/4, 3/4, 0}, 
   {0, 3/4, 0, 3/4, 0, 0, 3/4, 0, 0}, {0, 0, 0, 3/4, 3/4, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 1/3, 1/3, 1/3, 0, 1, 0, 0, 0}, {1/3, 0, 0, 2/3, 1/3, 0, 0, 0, 2/3}, 
   {1/3, 2/3, 0, 0, 1/3, 0, 2/3, 0, 2/3}, {1/3, 0, 0, 1, 0, 1/3, 0, 0, 2/3}, 
   {0, 1/3, 1, 0, 1, 0, 0, 0, 0}, {0, 1/3, 1/3, 0, 1, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, {1, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 1, 1}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/3, 0, 1, 0, 0, 0}, 
   {1/3, 0, 1, 0, 1, 0, 0, 0, 2/3}, {2/3, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 2/3, 2/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 1, 0, 1/3, 0, 0, 0}, {2/3, 1/3, 0, 2/3, 1/3, 0, 0, 0, 0}, 
   {0, 1, 2/3, 0, 1/3, 0, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 2, 2}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1, 0, 1/2}, 
   {1/2, 1, 0, 0, 1, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 1/2, 1, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/5, 1/5, 0}, 
   {0, 0, 1/5, 1/5, 0, 0, 0, 1}, {0, 2/5, 0, 2/5, 3/5, 0, 2/5, 1/5}, 
   {4/5, 0, 3/5, 1, 0, 1, 1/5, 0}, {4/5, 0, 4/5, 0, 1/5, 4/5, 0, 1}, 
   {0, 4/5, 2/5, 0, 0, 2/5, 0, 2/5}, {2/5, 0, 0, 4/5, 4/5, 2/5, 0, 2/5}, 
   {2/5, 0, 2/5, 0, 0, 0, 4/5, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1/2, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3}, {1, 0, 2/3, 0, 0, 0, 0, 1/3}, 
   {0, 1/3, 0, 0, 0, 1/3, 1, 0}, {1, 0, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 2/3, 2/3, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 2/3, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/3, 1/3, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 0, 2/3, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 2/3, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 2/3, 0, 0, 1}, {0, 1, 0, 0, 2/3, 0, 0, 0, 1}, 
   {1, 0, 1/3, 0, 0, 0, 1/3, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0, 0}, {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 1, 1, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {1/2, 1, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 1/2, 0, 1/2, 1}, 
   {1, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 1/3, 0}, {0, 0, 0, 1, 0, 1/3, 0, 0, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 2/3, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1/3, 0, 1, 0}, {0, 1, 1/3, 0, 2/3, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 2/3, 1, 0, 1}, {0, 2/3, 0, 1/3, 2/3, 0, 1/3, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1/3, 1/3}, 
   {0, 0, 2/3, 1/3, 0, 0, 1, 0, 2/3}, {0, 2/3, 2/3, 1/3, 2/3, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 0, 1/3, 1, 1/3, 0, 0}, {0, 2/3, 0, 0, 1/3, 1/3, 1/3, 0, 2/3}, 
   {2/3, 0, 0, 1, 0, 0, 0, 1, 1/3}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 1, 1/4, 0, 1/4, 1, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 1/4, 1, 0, 0, 0}, 
   {0, 1/4, 0, 1/2, 0, 0, 0, 0, 3/4}, {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 1, 0}, {1/2, 0, 1, 1, 1/4, 0, 3/4, 1/4, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 1/3, 0, 1/3, 0, 0, 1}, {2/3, 0, 0, 1, 2/3, 1, 1/3, 0}, 
   {0, 0, 1/3, 2/3, 1/3, 2/3, 0, 1/3}, {0, 0, 0, 1/3, 0, 0, 2/3, 1}, 
   {0, 0, 1, 0, 1/3, 1/3, 1/3, 0}, {0, 2/3, 0, 1/3, 0, 0, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/4, 0}, {1/4, 0, 0, 1/4, 1/4, 1, 1/2, 0}, 
   {1, 0, 1/2, 3/4, 0, 1/2, 0, 1/4}, {0, 1/2, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 3/4, 1/4, 0, 0, 1/2, 0, 0}, {0, 0, 1/4, 0, 3/4, 1/2, 0, 3/4}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/4, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0, 1}, {0, 0, 1/2, 1, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 0, 1, 1, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 2/3, 2/3, 0, 1/3}, {1, 0, 1, 2/3, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 2/3, 0, 0, 1/3}, {1, 0, 1/3, 0, 0, 2/3, 0, 2/3, 1/3}, 
   {0, 1, 0, 2/3, 2/3, 0, 1/3, 1/3, 0}, {1, 0, 1/3, 2/3, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1, 1, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 
    1/2}, {0, 1, 1, 0, 0, 1/2, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1/2}, {1, 0, 0, 1, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 1, 0}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1, 1/2, 1, 1/2, 0, 0, 1/2, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {1/3, 0, 0, 0, 2/3, 1, 0, 1/3}, 
   {0, 1/3, 2/3, 0, 0, 0, 1, 0}, {0, 1/3, 0, 2/3, 2/3, 1/3, 0, 1/3}, 
   {0, 1/3, 0, 2/3, 0, 1/3, 0, 1}, {1/3, 0, 0, 0, 0, 0, 1, 2/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1/3, 0, 0}, {0, 1/3, 2/3, 2/3, 0, 0, 1/3, 1/3}, 
   {0, 1/3, 0, 0, 0, 1/3, 2/3, 0}, {1/3, 0, 2/3, 0, 0, 0, 1, 1/3}, 
   {0, 1, 0, 0, 2/3, 1/3, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/5, 3/5, 2/5, 0, 0, 3/5, 0, 0, 0}, 
   {2/5, 3/5, 0, 0, 0, 3/5, 0, 0, 2/5}, {1/5, 0, 1/5, 3/5, 1/5, 0, 2/5, 4/5, 
    0}, {1/5, 0, 1/5, 2/5, 0, 3/5, 0, 2/5, 0}, {3/5, 0, 3/5, 0, 0, 3/5, 0, 
    2/5, 0}, {0, 1/5, 0, 3/5, 3/5, 0, 0, 0, 4/5}, 
   {0, 0, 2/5, 0, 0, 0, 2/5, 0, 4/5}, {0, 2/5, 0, 0, 2/5, 0, 2/5, 2/5, 0}, 
   {0, 2/5, 2/5, 0, 2/5, 2/5, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 1, 1/3, 0}, {1/3, 0, 0, 0, 0, 1/3, 1}, 
   {0, 1/3, 2/3, 0, 1/3, 0, 0}, {0, 0, 0, 2/3, 2/3, 1/3, 0}, 
   {2/3, 0, 0, 0, 0, 1/3, 2/3}}, {{2, 2, 2}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 1/2, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1, 1/2, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 1/2}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 2/3, 2/3, 1, 1/3, 0}, {1/3, 0, 2/3, 2/3, 0, 2/3, 0, 2/3, 
    1/3}, {1, 0, 0, 0, 0, 0, 2/3, 0, 1}, {0, 2/3, 2/3, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 1/3, 1/3, 2/3, 0, 0, 0, 0, 1/3}, {0, 1/3, 1/3, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1/3, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 1, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/3, 1/3, 1, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, {0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 2/3, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 1, 0, 1/3, 2/3, 0, 1/3}, {0, 2/3, 1, 0, 1/3, 0, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 0, 1/3, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1/3, 0, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 0, 1, 2/3, 0, 0, 1/3, 0, 1/3}, {0, 0, 1/3, 0, 2/3, 2/3, 0, 1/3, 0}, 
   {2/3, 0, 1/3, 0, 2/3, 0, 0, 1/3, 2/3}, {1/3, 1, 0, 0, 0, 2/3, 1/3, 0, 
    1/3}, {0, 0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, {0, 2/3, 2/3, 0, 2/3, 0, 0, 0, 
    0}, {2/3, 0, 0, 2/3, 0, 2/3, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 1/3, 0, 1/3, 1/3, 0, 2/3, 2/3}, 
   {1/3, 0, 1/3, 2/3, 0, 0, 0, 0}, {1/3, 0, 1/3, 0, 0, 2/3, 0, 2/3}, 
   {1/3, 0, 0, 1, 1/3, 0, 0, 0}, {1/3, 0, 0, 1/3, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 0, 0, 0, 2/3, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 1, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 4/7, 3/7, 1/7, 1/7, 0, 0, 0, 0}, {1/7, 1/7, 0, 0, 0, 3/7, 4/7, 0, 0}, 
   {0, 0, 3/7, 5/7, 1/7, 0, 0, 0, 0}, {2/7, 0, 1, 2/7, 0, 1/7, 0, 4/7, 0}, 
   {3/7, 1/7, 0, 1/7, 3/7, 0, 0, 0, 4/7}, {0, 2/7, 1/7, 0, 6/7, 3/7, 0, 4/7, 
    0}, {0, 2/7, 4/7, 2/7, 0, 4/7, 4/7, 0, 4/7}, 
   {4/7, 6/7, 0, 6/7, 0, 0, 4/7, 4/7, 0}, {6/7, 0, 2/7, 0, 6/7, 6/7, 0, 4/7, 
    4/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 1}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 1/3, 0, 1/3, 1/3, 0}, 
   {2/3, 2/3, 0, 1/3, 0, 1/3, 0, 0, 1/3}, {0, 0, 0, 0, 1/3, 0, 1, 1, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, {0, 0, 0, 2/3, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 1/3, 0, 1, 1/3, 1/3, 0}, 
   {0, 2/3, 0, 0, 1/3, 0, 2/3, 0, 1}, {0, 0, 0, 0, 1/3, 2/3, 0, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 0, 1/3, 0, 2/3}, {0, 0, 0, 2/3, 1/3, 0, 2/3, 1/3}, 
   {0, 2/3, 2/3, 0, 1, 2/3, 0, 1}, {2/3, 0, 1/3, 1/3, 0, 1/3, 1, 0}, 
   {2/3, 0, 0, 0, 1/3, 2/3, 1/3, 0}, {0, 0, 1/3, 1, 0, 1/3, 0, 1/3}, 
   {0, 0, 2/3, 0, 1/3, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 1/3, 0, 1/3, 1/3}, 
   {0, 2/3, 1, 0, 1, 0, 0}, {0, 1/3, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1/3, 0, 1/3}, {1, 0, 1/3, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 1/3, 0, 0, 0, 1}, {0, 1/3, 0, 1, 1/3, 1/3, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 3/4, 0, 3/4, 1/2, 0, 0, 0}, 
   {1/4, 1/4, 0, 3/4, 0, 1/4, 1/2, 0, 1}, {1/2, 0, 3/4, 0, 1/4, 0, 0, 0, 0}, 
   {0, 1/4, 1/4, 3/4, 0, 0, 1/2, 0, 1/4}, {3/4, 1, 0, 0, 1/4, 1/4, 0, 0, 
    1/4}, {1/4, 0, 0, 3/4, 0, 0, 1/4, 1/4, 0}, {1/4, 0, 1/4, 0, 1/2, 3/4, 0, 
    0, 1/4}, {0, 3/4, 0, 1/4, 1/4, 0, 0, 1/2, 1/4}, 
   {0, 3/4, 0, 0, 0, 1/4, 1/4, 3/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/3, 0, 1, 1, 0}, 
   {0, 0, 1/3, 0, 1, 0, 0, 1/3}, {0, 0, 2/3, 1, 0, 0, 0, 1/3}, 
   {0, 2/3, 1/3, 0, 1/3, 1/3, 1, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 2/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 1/3, 0, 2/3, 1/3, 0, 0, 0}, {1/3, 0, 1/3, 1, 0, 2/3, 0, 2/3}, 
   {0, 1/3, 0, 0, 1/3, 0, 2/3, 0}, {0, 1/3, 1/3, 1/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 2/3, 0, 2/3}, {0, 1/3, 1/3, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 0, 1, 1/2}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/3, 0, 2/3, 0, 0, 1/3, 1/3}, {1/3, 0, 0, 2/3, 0, 0, 1/3, 0, 0}, 
   {1/3, 0, 2/3, 0, 0, 2/3, 0, 1/3, 0}, {0, 1/3, 1/3, 0, 2/3, 0, 1/3, 0, 
    1/3}, {1/3, 0, 0, 0, 0, 2/3, 2/3, 1/3, 0}, {0, 2/3, 2/3, 2/3, 0, 2/3, 0, 
    0, 1/3}, {2/3, 0, 0, 0, 2/3, 0, 0, 2/3, 1/3}, 
   {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 1, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 0, 1, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1, 0, 1/3, 0, 1, 1}, 
   {2/3, 0, 0, 1/3, 0, 1/3, 0, 0}, {0, 2/3, 0, 1/3, 0, 0, 1/3, 1/3}, 
   {0, 0, 1, 0, 1/3, 1/3, 0, 0}, {0, 0, 1/3, 0, 1/3, 1/3, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 2/3, 1/3}, {0, 0, 0, 2/3, 2/3, 0, 1/3}, 
   {0, 0, 0, 1/3, 1, 0, 1/3}, {2/3, 0, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 1, 0, 1/3, 0, 0}, {0, 0, 0, 1/3, 0, 1, 1/3}}, 
  {{2, 2, 2}, {2, 2, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {1, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, {0, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1/2, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 1, 0, 0, 1/2, 1/2}, 
   {1, 1, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1/2, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1/2, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 2/3, 0, 1/3, 0, 0}, {0, 1/3, 0, 0, 0, 1/3, 1}, 
   {2/3, 1/3, 0, 0, 1/3, 0, 0}, {1, 0, 2/3, 0, 0, 1/3, 1/3}, 
   {0, 1/3, 0, 0, 1, 2/3, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1}, {0, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, {1, 0, 0, 0, 1, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1, 1/2, 0, 1, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1/3}, 
   {0, 0, 1/3, 1/3, 0, 1/3, 1, 0}, {2/3, 0, 0, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 1, 1/3, 0, 1/3, 0, 1}, {0, 2/3, 0, 2/3, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 0, 0, 1/3, 2/3, 0}, {0, 0, 2/3, 2/3, 0, 1/3, 0, 2/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 2/3, 0, 1/3, 1}, {1/3, 0, 0, 2/3, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, {2/3, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 2/3, 2/3, 0, 0, 2/3, 2/3}, {1/3, 0, 0, 2/3, 0, 0, 1/3, 1}, 
   {0, 1/3, 2/3, 0, 0, 1/3, 0, 0}, {0, 1/3, 0, 0, 0, 1/3, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1/2, 1/2, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 1/6, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/6, 0, 0}, {0, 5/6, 0, 1/6, 0, 0, 1/3, 1/6}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 0, 1/2}, {0, 1/2, 1/6, 0, 2/3, 1/6, 0, 1/6}, 
   {1/6, 0, 0, 1/2, 1/2, 1/6, 0, 1/6}, {5/6, 0, 1/6, 0, 0, 0, 1/2, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 3/4, 0, 1/4, 1/4}, 
   {1, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {3/4, 1/2, 0, 0, 1/4, 1/4, 1/2, 3/4, 0}, 
   {1/4, 0, 1/4, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/4, 3/4, 0, 0, 0, 0}, 
   {3/4, 1/2, 0, 1/4, 0, 0, 3/4, 0, 0}, {1/4, 0, 1/4, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 3/4, 0, 1/4, 0, 3/4}, {0, 1/2, 3/4, 0, 0, 0, 1/4, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 1/3, 1/3, 0, 0}, {0, 0, 1, 1/3, 0, 0, 1/3, 1/3}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 1, 0, 1/3, 1/3}, {0, 0, 1/3, 1/3, 0, 1, 0, 2/3}, 
   {2/3, 0, 1/3, 1/3, 2/3, 1/3, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/4, 1, 0, 1/2, 0, 1/2, 3/4, 0}, {1/2, 0, 0, 1, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 3/4, 3/4, 1/2, 0, 0, 1/4, 1/4}, {1, 3/4, 0, 0, 1, 0, 1/4, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1/4, 0, 0, 0, 1, 3/4, 1/4, 0, 
    3/4}}, {{3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 0, 1, 0, 0, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 2/3, 2/3}, {0, 1, 1/3, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 0, 1, 0, 0, 0, 0}, {0, 2/3, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, {2/3, 0, 2/3, 0, 2/3, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 1, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 1, 0, 0, 0, 2/3, 2/3}, {1/3, 0, 0, 1/3, 1, 2/3, 0, 0}, 
   {1, 0, 0, 1/3, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1/2, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 2/3, 0, 1/3, 0, 1}, 
   {1/3, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 1/3, 0, 0, 0, 2/3, 1, 0}, 
   {0, 1/3, 2/3, 0, 2/3, 0, 1/3, 0}, {1, 0, 2/3, 2/3, 0, 1/3, 0, 1/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 1/2, 1, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 1, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 1, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 1, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 1, 1/3, 2/3, 0, 1/3}, 
   {0, 2/3, 1/3, 0, 0, 1/3, 1/3, 0}, {2/3, 0, 2/3, 0, 1/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 1/3, 0, 0, 2/3}, {0, 2/3, 1/3, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 1/3, 0, 1/3, 1, 0}, {0, 0, 1, 0, 1/3, 0, 0, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1}, {1/2, 1, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 1, 2/3, 0, 1/3}, {0, 2/3, 1/3, 1/3, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 0, 1/3, 1/3, 1, 0}, {0, 0, 2/3, 0, 1/3, 1/3, 1/3, 0}, 
   {2/3, 0, 1, 1/3, 0, 0, 0, 1/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/5, 0, 3/5, 0, 0, 0, 1/5}, 
   {4/5, 4/5, 0, 0, 0, 0, 2/5, 1, 0}, {2/5, 4/5, 0, 1/5, 0, 0, 0, 0, 1}, 
   {1/5, 0, 1, 4/5, 0, 3/5, 1/5, 1/5, 0}, {0, 1, 1/5, 0, 2/5, 2/5, 0, 0, 
    2/5}, {0, 1/5, 0, 1, 0, 3/5, 3/5, 0, 0}, {1, 0, 2/5, 0, 1/5, 1/5, 0, 0, 
    0}, {0, 1/5, 0, 2/5, 0, 0, 3/5, 3/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 1/3, 1/3, 0, 2/3, 0, 2/3}, 
   {1/3, 0, 2/3, 0, 2/3, 1/3, 0, 0, 2/3}, {1, 0, 0, 2/3, 0, 1, 0, 0, 0}, 
   {0, 1/3, 1/3, 0, 2/3, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1/3, 0, 2/3, 0}, 
   {1, 0, 0, 1/3, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1, 1}, {1, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 1/2}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, {0, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 0, 0, 0, 2/3, 2/3}, 
   {0, 1/3, 0, 1/3, 1, 0, 0, 0}, {1, 0, 0, 1/3, 1, 0, 0, 2/3}, 
   {0, 1/3, 1/3, 0, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 3/5, 0, 1, 1/5, 4/5, 0, 2/5}, {3/5, 1/5, 0, 1/5, 0, 0, 0, 4/5, 0}, 
   {0, 4/5, 1/5, 3/5, 0, 0, 0, 0, 0}, {1/5, 3/5, 0, 0, 1/5, 1/5, 0, 0, 2/5}, 
   {0, 0, 1/5, 3/5, 0, 4/5, 0, 0, 0}, {4/5, 0, 0, 2/5, 0, 0, 4/5, 0, 4/5}, 
   {2/5, 0, 4/5, 0, 4/5, 0, 0, 2/5, 0}, {0, 2/5, 4/5, 0, 2/5, 2/5, 0, 4/5, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1/3, 1, 0, 2/3, 0, 0}, 
   {0, 1/3, 1, 0, 0, 1, 0, 0, 0}, {1/3, 2/3, 0, 0, 0, 1, 0, 0, 2/3}, 
   {0, 1/3, 1, 1/3, 1/3, 0, 0, 0, 0}, {1/3, 0, 2/3, 0, 2/3, 1/3, 0, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 2/3, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 0, 1, 0, 1/3, 1, 0, 0}, 
   {0, 2/3, 0, 1, 0, 0, 1, 1/3}, {0, 0, 1, 0, 1/3, 0, 1, 1/3}, 
   {2/3, 0, 0, 1/3, 2/3, 1/3, 2/3, 0}, {0, 2/3, 0, 1, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0}}, {{2, 2, 2}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{3/5, 0, 0, 0, 2/5, 3/5, 0, 3/5}, {0, 1/5, 2/5, 2/5, 0, 0, 1/5, 0}, 
   {4/5, 0, 2/5, 0, 0, 2/5, 0, 0}, {0, 0, 0, 2/5, 2/5, 0, 2/5, 2/5}, 
   {0, 0, 2/5, 0, 4/5, 2/5, 0, 0}, {1/5, 0, 0, 2/5, 4/5, 2/5, 3/5, 0}, 
   {0, 3/5, 0, 2/5, 0, 3/5, 0, 1/5}, {1/5, 0, 2/5, 0, 2/5, 0, 1, 2/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1/2, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1, 1, 0, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/7, 6/7, 0, 6/7, 3/7, 0, 1/7, 3/7}, {1/7, 0, 1, 0, 0, 0, 5/7, 0, 
    5/7}, {6/7, 5/7, 0, 6/7, 0, 0, 0, 1/7, 0}, {2/7, 1, 0, 0, 4/7, 6/7, 1/7, 
    0, 1/7}, {1/7, 0, 5/7, 2/7, 0, 2/7, 0, 5/7, 0}, 
   {0, 2/7, 1, 0, 1/7, 0, 3/7, 5/7, 0}, {0, 2/7, 2/7, 4/7, 0, 1/7, 0, 0, 0}, 
   {1/7, 0, 0, 3/7, 2/7, 0, 0, 0, 0}, {4/7, 0, 0, 0, 2/7, 0, 3/7, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1/2}, {1, 0, 1/2, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/11, 1/11, 0, 7/11, 7/11, 0, 0, 1}, 
   {1, 0, 0, 0, 1/11, 1/11, 7/11, 7/11, 0}, {0, 1/11, 1/11, 1, 0, 0, 7/11, 
    7/11, 0}, {4/11, 0, 3/11, 7/11, 0, 3/11, 0, 0, 1/11}, 
   {1/11, 3/11, 0, 10/11, 3/11, 0, 0, 0, 7/11}, {0, 2/11, 1, 0, 5/11, 8/11, 
    1, 5/11, 0}, {3/11, 0, 3/11, 3/11, 3/11, 0, 0, 0, 6/11}, 
   {0, 9/11, 0, 0, 6/11, 3/11, 0, 6/11, 0}, {0, 3/11, 0, 6/11, 0, 3/11, 0, 0, 
    6/11}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1/3, 0, 2/3, 0, 0, 2/3, 1}, {1/3, 0, 2/3, 0, 0, 1, 1, 0}, 
   {0, 1/3, 0, 0, 2/3, 1/3, 1, 0}, {1/3, 0, 2/3, 0, 2/3, 0, 0, 1/3}, 
   {1, 0, 0, 0, 0, 2/3, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1/3, 0, 1/3, 0}, {0, 1/3, 1/3, 0, 0, 1/3, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 0, 2/3, 1/3, 0}, {1/3, 0, 0, 1/3, 1/3, 0, 1/3}, 
   {0, 1/3, 0, 1, 0, 1/3, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 
    1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 
    0}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1/2, 1/2, 1, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 1, 0, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 1, 0, 0, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1/2, 1, 0, 1}, {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {1/3, 1/3, 0, 0, 2/3, 2/3, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1/3, 1, 0, 0, 0, 0, 0, 1, 1/3}, 
   {0, 0, 1, 2/3, 0, 0, 1, 0, 0}, {0, 0, 1/3, 2/3, 0, 2/3, 1/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 1/4, 0, 1/2, 1/2, 3/4, 0, 0}, 
   {1/2, 0, 0, 1/4, 0, 0, 0, 0, 3/4}, {1/2, 0, 0, 1/4, 3/4, 0, 0, 0, 0}, 
   {1/4, 0, 3/4, 0, 1/4, 1/2, 0, 0, 1/2}, {1/4, 0, 0, 1/2, 0, 1, 1, 1, 0}, 
   {0, 1/2, 1/2, 1/4, 1/2, 0, 0, 0, 1/2}, {0, 3/4, 0, 3/4, 0, 1/2, 0, 0, 
    1/4}, {0, 0, 0, 1/4, 1/4, 0, 1/2, 1/2, 0}, {0, 3/4, 0, 0, 0, 1/2, 0, 3/4, 
    1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1/2, 0, 1/2, 0, 0, 1, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1/3, 1/3, 2/3, 0, 0}, {1/3, 0, 1/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, {0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 2/3, 0, 2/3}, {0, 1/3, 1/3, 0, 0, 2/3, 0, 2/3}, 
   {1/3, 0, 0, 1/3, 1/3, 0, 0, 2/3}, {0, 1/3, 1, 0, 2/3, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1/3, 1/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 2/3, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 2/3, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0, 2/3}, {1, 0, 1/3, 1/3, 1, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 0, 1, 2/3, 2/3, 0}, {2/3, 1, 0, 0, 0, 1/3, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/5, 0, 0, 4/5, 1/5, 4/5, 0}, 
   {2/5, 0, 1, 2/5, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 4/5, 0, 4/5}, 
   {0, 3/5, 0, 0, 2/5, 4/5, 0, 4/5}, {3/5, 0, 4/5, 1/5, 0, 0, 1, 0}, 
   {0, 2/5, 0, 0, 3/5, 0, 1/5, 1/5}, {0, 1, 0, 0, 0, 0, 1/5, 1/5}, 
   {1/5, 0, 0, 3/5, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 1, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1, 2/3, 0, 0, 0}, {1/3, 0, 1/3, 0, 1/3, 2/3, 2/3, 0}, 
   {0, 1/3, 1, 0, 1/3, 0, 0, 2/3}, {1/3, 0, 0, 1/3, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/3, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1/3, 1/3, 0, 0, 0, 2/3}, {0, 0, 1/3, 2/3, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 1, 0, 0, 0, 0, 0}, {2/3, 0, 1/3, 2/3, 0, 2/3, 0, 0}, 
   {1, 0, 1/3, 0, 1, 0, 0, 0}, {0, 1/3, 0, 1, 0, 0, 2/3, 0}, 
   {0, 1, 2/3, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1}}, {{3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 1/4, 0}, 
   {1/4, 0, 0, 0, 3/4, 0, 0, 1/2}, {0, 3/4, 0, 1/4, 1/4, 1/2, 0, 1/2}, 
   {3/4, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1/2, 3/4, 0, 0, 1/4, 0}, 
   {0, 1, 1/4, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 1/2, 1/2, 1/2, 1/4, 0}, 
   {1/2, 0, 1/4, 0, 0, 1, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, {0, 1, 0, 1, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1, 1, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1/3, 0, 0, 0, 2/3}, 
   {0, 1, 1, 0, 1/3, 0, 2/3, 0}, {0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 1/3, 0, 1/3, 2/3, 0, 0, 0}, {0, 1/3, 0, 1/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 0, 1/3, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 0, 1/3, 1, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 1, 1/3}, {2/3, 0, 0, 2/3, 1/3, 1/3, 0, 0}, 
   {0, 0, 0, 0, 1/3, 1, 0, 2/3}, {0, 0, 1/3, 1, 0, 0, 1/3, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 0, 0, 0, 0, 3/5, 0, 0}, {0, 0, 3/5, 0, 0, 3/5, 0, 3/5, 0}, 
   {0, 0, 1/5, 0, 1/5, 2/5, 0, 1, 3/5}, {1, 2/5, 0, 1/5, 2/5, 0, 0, 2/5, 0}, 
   {3/5, 0, 1/5, 2/5, 0, 1/5, 1/5, 0, 1/5}, {0, 0, 2/5, 0, 2/5, 1/5, 1, 0, 
    2/5}, {4/5, 4/5, 0, 1/5, 0, 2/5, 0, 4/5, 3/5}, 
   {0, 0, 1, 1, 4/5, 0, 0, 1/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 0, 2/3, 0, 1/3}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0, 1/3}, {0, 1/3, 1/3, 0, 0, 2/3, 0, 1, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 0, 1, 2/3, 0}, {1, 2/3, 0, 0, 0, 2/3, 1/3, 0, 2/3}, 
   {0, 1/3, 1, 0, 0, 0, 1, 0, 1/3}, {1/3, 2/3, 0, 0, 0, 2/3, 2/3, 1, 0}, 
   {1/3, 0, 0, 2/3, 0, 0, 0, 1/3, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1}, {1/2, 0, 1/2, 1/2, 0, 1/2, 1, 1/2, 
    0}, {1/2, 1, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 
    0}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 
    0}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 1, 0, 1, 0, 1/2, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1, 1/2, 0, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1, 0, 0, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 1, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 2/3, 2/3, 0, 2/3, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {1, 0, 1, 1/3, 0, 0, 0, 0}, {0, 1/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 1, 1, 0, 0, 0, 2/3}, {1/3, 0, 0, 2/3, 1/3, 2/3, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 2/3, 2/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 2/3, 0, 1}, {1/3, 1, 0, 2/3, 0, 0, 0, 0, 1}, 
   {2/3, 0, 1, 0, 0, 0, 0, 0, 1}, {1/3, 1, 0, 0, 2/3, 0, 1, 1/3, 0}, 
   {0, 2/3, 1/3, 0, 2/3, 2/3, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {1/3, 0, 2/3, 0, 0, 0, 1/3, 1/3}, {1, 0, 0, 0, 0, 0, 1/3, 1/3}, 
   {0, 1/3, 0, 0, 2/3, 1, 0, 0}, {0, 1, 0, 2/3, 0, 0, 1/3, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 2/3}, {1/3, 0, 2/3, 2/3, 0, 1/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 1/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 2/3, 0, 1, 0, 0, 0}, {0, 1/3, 1/3, 1, 0, 0, 2/3, 0}, 
   {1/3, 0, 0, 0, 1/3, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 2/3, 2/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 1/2, 0, 1/2, 1, 1, 0}, 
   {1, 0, 1/2, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 1/3, 1, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 2/3, 0}, {0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 1/3, 1, 2/3, 0, 0, 0, 0}, {1/3, 0, 1/3, 0, 0, 1/3, 1/3, 1/3}, 
   {1, 0, 0, 1/3, 1/3, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 1, 1/2, 1/2, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 2/3, 2/3, 0, 2/3, 2/3, 0}, 
   {0, 1, 0, 1/3, 0, 2/3, 0, 0}, {0, 1/3, 2/3, 1, 0, 0, 0, 2/3}, 
   {1/3, 0, 1/3, 0, 1, 2/3, 2/3, 0}, {1/3, 0, 2/3, 1/3, 0, 0, 0, 0}, 
   {0, 1/3, 1/3, 0, 1/3, 0, 2/3, 0}, {1, 0, 0, 1/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 2/3, 0, 1, 0, 0, 1, 1}, 
   {2/3, 0, 0, 1/3, 0, 1/3, 1/3, 2/3, 0}, {2/3, 0, 0, 1, 0, 1, 1/3, 0, 0}, 
   {0, 2/3, 2/3, 0, 1/3, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 2/3}, 
   {0, 2/3, 0, 1/3, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 1, 1/2, 0}, 
   {1, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 3/5, 3/5, 0, 0, 0, 0, 0}, 
   {0, 3/5, 0, 0, 0, 0, 0, 0, 3/5}, {0, 2/5, 0, 2/5, 0, 1, 0, 1/5, 1}, 
   {1/5, 0, 1/5, 0, 4/5, 3/5, 1/5, 2/5, 0}, {3/5, 1, 0, 0, 1/5, 0, 1, 0, 
    1/5}, {0, 1/5, 0, 3/5, 1, 0, 0, 1, 1/5}, {0, 1/5, 0, 1/5, 0, 1/5, 1, 4/5, 
    0}, {2/5, 0, 1, 0, 2/5, 0, 1/5, 0, 2/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 1, 0, 1/3, 0, 0, 0}, {0, 1/3, 0, 1/3, 0, 0, 2/3, 0}, 
   {0, 1, 1/3, 0, 1/3, 0, 2/3, 2/3}, {1/3, 0, 0, 1, 2/3, 2/3, 0, 0}, 
   {1/3, 2/3, 0, 1/3, 0, 0, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1/2}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 3/4, 0, 3/4, 0, 0, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 1/4, 1/4, 0}, 
   {0, 0, 0, 1/4, 1/4, 0, 1, 0}, {0, 0, 1, 0, 0, 1/4, 0, 1/4}, 
   {0, 1/2, 1, 0, 3/4, 0, 1/4, 1/4}, {0, 1/2, 0, 1/4, 1, 1, 0, 0}, 
   {3/4, 0, 1/4, 1/2, 0, 0, 1/4, 1/4}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0}, {0, 1, 0, 0, 1/3, 0, 0, 0}, 
   {1/3, 0, 1, 1, 0, 0, 0, 0}, {1/3, 0, 1, 1/3, 0, 2/3, 2/3, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 2/3}, {0, 1/3, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 0, 2/3, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 1, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1, 1/2, 0}, {1/2, 1, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 1, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {1, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1/2, 0, 1, 0, 0, 1, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1/2, 1, 0, 0, 1, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 2, 2}, {2, 2, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 1/2, 0}, {1, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1, 0, 1/2, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 3/4, 0, 0, 3/4, 0, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 1/4, 1/4, 0}, {0, 0, 0, 1, 0, 0, 1/4, 1/4}, 
   {0, 0, 1/4, 0, 1/4, 1, 0, 0}, {3/4, 0, 0, 1/4, 1/2, 1/4, 0, 1/4}, 
   {0, 1/2, 3/4, 1, 0, 1/4, 0, 1/4}, {0, 1/2, 1, 0, 1/4, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 1/3, 0, 1/3, 1/3, 1/3, 0}, {0, 0, 1/3, 2/3, 1, 0, 0, 1/3}, 
   {2/3, 0, 1/3, 0, 1/3, 2/3, 0, 1}, {0, 2/3, 0, 1/3, 0, 1/3, 1/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 2/3, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 3/4, 0, 0, 5/8, 0, 0, 1/8}, 
   {3/4, 0, 0, 7/8, 1/8, 0, 5/8, 5/8, 0}, {0, 0, 0, 0, 0, 5/8, 0, 0, 7/8}, 
   {3/8, 0, 3/8, 0, 5/8, 0, 0, 3/8, 1/2}, {3/4, 3/8, 0, 1/8, 0, 1/8, 1/4, 
    5/8, 0}, {0, 3/8, 0, 3/4, 5/8, 0, 3/8, 0, 1/8}, 
   {3/8, 0, 3/8, 5/8, 0, 0, 3/8, 0, 1/2}, {0, 3/8, 3/4, 5/8, 0, 0, 0, 3/8, 
    1/8}, {0, 3/8, 0, 0, 7/8, 7/8, 5/8, 1/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1/2, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 0, 1, 1/2, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/5, 1, 0, 0, 2/5, 2/5, 0}, {3/5, 0, 0, 3/5, 3/5, 0, 0, 2/5}, 
   {0, 3/5, 0, 1/5, 3/5, 2/5, 0, 0}, {1/5, 0, 3/5, 0, 2/5, 2/5, 0, 4/5}, 
   {1/5, 0, 1, 2/5, 0, 0, 2/5, 2/5}, {0, 0, 0, 4/5, 2/5, 0, 2/5, 0}, 
   {4/5, 0, 0, 0, 2/5, 0, 2/5, 0}, {0, 0, 2/5, 2/5, 0, 2/5, 0, 2/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 1/3, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1/3, 1, 0, 1/3}, {0, 0, 1/3, 0, 1/3, 0, 1, 0}, 
   {0, 0, 0, 1, 2/3, 1/3, 0, 1/3}, {2/3, 0, 0, 1, 0, 1/3, 0, 1/3}, 
   {0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 2/3, 0, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 1, 0, 1/2, 1/2, 1/2, 1/2, 0}, {0, 0, 1, 1/2, 0, 1, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 3/4}, {0, 0, 3/4, 0, 0, 3/4, 0, 0, 0}, 
   {0, 1, 3/4, 1, 3/4, 0, 1, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {3/4, 1/4, 0, 1/4, 0, 0, 1, 3/4, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1, 1/4}, 
   {1, 0, 1/4, 1/2, 3/4, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/4, 1, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {1, 0, 1, 0, 1/2, 0, 0, 1, 0}, {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 1/3}, 
   {2/3, 0, 1/3, 0, 1/3, 1, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 1/3, 0, 2/3}, {2/3, 0, 0, 1/3, 0, 1, 2/3, 0}, 
   {0, 0, 1, 0, 1/3, 0, 1, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/4, 1/4, 0, 3/4, 0}, 
   {0, 1/4, 0, 1/2, 0, 0, 0, 0, 0}, {0, 3/4, 1/4, 0, 1/2, 0, 1/2, 1/4, 0}, 
   {3/4, 0, 1/4, 1/4, 0, 1/4, 1/4, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 
    1/4}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/4, 1/2}, 
   {1, 0, 3/4, 1/4, 1/4, 0, 1/4, 1/2, 0}, {1/4, 0, 0, 0, 3/4, 1/2, 1/2, 0, 
    1/4}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 1/3, 0, 0, 1/3, 1/3}, {0, 0, 0, 1, 0, 1/3, 1/3, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0, 2/3}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 1, 2/3, 1/3, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1/3}, {0, 2/3, 0, 0, 1/3, 0, 1/3, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 1/3, 1, 0, 2/3, 2/3, 0}, 
   {0, 1/3, 1/3, 2/3, 0, 1/3, 0, 0, 1}, {1/3, 1, 0, 0, 1/3, 2/3, 0, 0, 1/3}, 
   {0, 0, 0, 1/3, 0, 2/3, 1, 2/3, 0}, {0, 1/3, 0, 1, 2/3, 0, 1/3, 0, 1/3}, 
   {1/3, 0, 1, 0, 2/3, 1/3, 0, 0, 1/3}, {1/3, 0, 0, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 1/3, 0, 1/3, 0, 1/3, 0}, {2/3, 0, 1/3, 0, 0, 0, 0, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 1/3, 1, 0, 0, 0}, {1/3, 0, 1/3, 0, 0, 0, 2/3, 0}, 
   {1/3, 0, 1/3, 0, 0, 1/3, 1/3, 1}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/3, 1, 2/3, 0, 0, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/5, 0, 1/5, 0, 0, 1}, {0, 0, 0, 1, 0, 1/5, 1/5, 0}, 
   {3/5, 0, 1/5, 1/5, 0, 0, 3/5, 1}, {3/5, 0, 0, 0, 1, 1/5, 4/5, 0}, 
   {0, 3/5, 1/5, 1/5, 0, 3/5, 0, 2/5}, {3/5, 0, 1, 0, 0, 4/5, 1/5, 0}, 
   {3/5, 0, 0, 1/5, 1/5, 3/5, 0, 1}, {0, 3/5, 0, 1/5, 1/5, 0, 3/5, 2/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 1/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 1/3, 0, 1, 0, 0, 0}, {0, 0, 1/3, 2/3, 0, 0, 2/3, 2/3}, 
   {0, 0, 1, 2/3, 0, 0, 2/3, 0}, {0, 0, 1/3, 0, 2/3, 2/3, 0, 2/3}, 
   {1/3, 0, 0, 0, 1/3, 0, 2/3, 2/3}, {1/3, 0, 0, 0, 1, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 1, 0, 0, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 3/5, 3/5, 3/5, 0, 3/5, 0, 2/5, 0}, 
   {1/5, 0, 0, 0, 1, 2/5, 2/5, 0, 2/5}, {3/5, 2/5, 2/5, 0, 3/5, 0, 2/5, 0, 
    0}, {0, 1/5, 1/5, 0, 1/5, 0, 0, 4/5, 2/5}, {1/5, 0, 2/5, 0, 1/5, 0, 1/5, 
    3/5, 1/5}, {3/5, 0, 0, 1, 0, 3/5, 2/5, 0, 0}, 
   {0, 2/5, 0, 0, 2/5, 0, 2/5, 0, 0}, {4/5, 0, 0, 2/5, 0, 0, 0, 0, 2/5}, 
   {0, 0, 0, 2/5, 0, 0, 4/5, 0, 2/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1/2, 1, 1/2, 0, 0, 0, 0}, {0, 1, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, {1, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 1, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 1/2, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1/2, 0, 1, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 0, 1, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 1, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 1/3, 0, 0, 2/3, 0}, {1, 0, 1, 0, 1/3, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 2/3}, {1/3, 0, 0, 1/3, 0, 2/3, 0, 2/3}, 
   {0, 1/3, 1, 0, 1/3, 0, 0, 0}, {1/3, 0, 2/3, 1/3, 0, 0, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1}, {1, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 0, 1/2, 1, 0, 0}, {1, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 1, 1/3, 1/3, 0, 2/3}, {2/3, 0, 2/3, 1, 0, 0, 0, 1/3, 1}, 
   {2/3, 2/3, 0, 0, 1, 1/3, 1/3, 0, 0}, {0, 0, 0, 1/3, 0, 0, 1, 0, 0}, 
   {2/3, 0, 0, 0, 1, 1, 0, 1/3, 1/3}, {0, 2/3, 0, 1/3, 0, 0, 1/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 0, 1/3, 0, 0, 0, 1, 0, 1/3}, 
   {0, 2/3, 1/3, 2/3, 2/3, 0, 0, 1/3, 0}, {2/3, 0, 1, 0, 0, 0, 0, 1, 2/3}, 
   {1, 1, 0, 2/3, 0, 2/3, 1, 0, 1/3}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 2/5, 0, 3/5, 0, 3/5}, {2/5, 0, 0, 1/5, 3/5, 0, 3/5, 0}, 
   {0, 2/5, 0, 0, 2/5, 2/5, 0, 0}, {2/5, 0, 4/5, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 3/5, 1, 1/5, 0, 3/5}, {0, 4/5, 1/5, 0, 0, 0, 3/5, 2/5}, 
   {0, 2/5, 3/5, 2/5, 0, 0, 3/5, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 4/5, 4/5, 0, 0, 0, 0, 2/5, 2/5}, 
   {2/5, 0, 3/5, 0, 0, 0, 4/5, 0, 0}, {2/5, 0, 0, 3/5, 3/5, 0, 1/5, 0, 3/5}, 
   {0, 2/5, 0, 3/5, 0, 0, 4/5, 0, 3/5}, {4/5, 0, 1/5, 0, 0, 3/5, 0, 1, 1}, 
   {3/5, 1, 0, 0, 0, 0, 1/5, 0, 0}, {0, 0, 2/5, 0, 3/5, 3/5, 1/5, 0, 0}, 
   {1/5, 1/5, 0, 0, 0, 3/5, 0, 2/5, 2/5}, {0, 0, 2/5, 0, 0, 0, 1/5, 3/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 2/3, 0, 0, 1/3, 1/3, 0}, {1/3, 1/3, 0, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 0, 2/3, 2/3, 0, 2/3, 1/3}, {0, 2/3, 1, 0, 0, 0, 2/3, 0, 1/3}, 
   {1/3, 1/3, 0, 2/3, 2/3, 0, 1/3, 1/3, 0}, {0, 0, 0, 2/3, 0, 0, 0, 2/3, 
    2/3}, {2/3, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {2/3, 0, 0, 0, 0, 2/3, 2/3, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1, 1/2, 0, 1/2}, {1/2, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1/2, 1, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/3, 0, 1/3, 2/3, 2/3, 0, 0}, 
   {1/3, 1/3, 0, 1/3, 0, 1/3, 0, 0, 2/3}, {0, 0, 1/3, 2/3, 1/3, 0, 0, 2/3, 
    0}, {0, 0, 2/3, 2/3, 2/3, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 2/3, 2/3, 0, 2/3, 
    0}, {0, 2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 0, 1/3, 1/3, 0, 1/3, 0, 0, 
    2/3}, {2/3, 0, 1/3, 1, 0, 1, 0, 0, 0}, {1/3, 1/3, 0, 0, 1/3, 0, 0, 0, 
    2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/3, 0, 1/3, 0, 0, 2/3, 2/3}, 
   {1/3, 0, 1/3, 0, 1/3, 0, 0, 0}, {0, 2/3, 1/3, 0, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 1, 1/3, 0, 0, 1/3}, {0, 1/3, 0, 2/3, 1/3, 1, 1/3, 0}, 
   {1/3, 0, 2/3, 0, 1/3, 0, 0, 1/3}, {1/3, 0, 1/3, 1/3, 0, 1/3, 1/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1/3, 0, 0, 1/3, 2/3, 0, 0}, 
   {0, 1/3, 1/3, 0, 0, 0, 2/3}, {1/3, 0, 0, 2/3, 1/3, 0, 0}, 
   {0, 1/3, 0, 0, 0, 1, 1/3}, {2/3, 0, 0, 1/3, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0}, {0, 2/3, 0, 1/3, 2/3, 1/3, 1/3}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1/2}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/3, 0, 0, 1/3, 0}, 
   {2/3, 0, 0, 0, 1/3, 1/3, 0, 1/3}, {0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 2/3, 0, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 0, 1/3, 0, 1/3, 2/3}, {0, 0, 0, 2/3, 1, 0, 1/3, 0}, 
   {2/3, 0, 1/3, 1/3, 0, 1/3, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1/2, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 1/3, 0, 0, 0}, {1/3, 0, 2/3, 1/3, 0, 0, 0, 2/3}, 
   {1, 0, 0, 1/3, 0, 2/3, 0, 2/3}, {0, 1/3, 1, 0, 1/3, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 2/3, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1/3, 0, 2/3, 0, 2/3}, {1, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 0, 0, 1, 0, 0, 0}, {0, 1/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {1, 0, 1/3, 1/3, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 1, 2/3, 2/3, 0, 0, 1, 1/3}, 
   {1, 0, 0, 0, 2/3, 1/3, 0, 0}, {0, 1/3, 2/3, 0, 0, 1, 0, 0}, 
   {1, 0, 2/3, 0, 0, 0, 1/3, 1/3}, {0, 1/3, 0, 0, 2/3, 1/3, 2/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1/3, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1/3, 0, 1, 0, 1, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1/3, 0, 0, 2/3, 2/3}, {2/3, 1/3, 0, 2/3, 1, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 1, 0, 1/3, 0, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1, 0, 1, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 1, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/3, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 1/3, 0, 0, 0, 2/3, 1/3, 0, 1/3}, {1/3, 0, 1/3, 2/3, 0, 0, 2/3, 1/3, 
    0}, {0, 1/3, 0, 0, 2/3, 1/3, 1/3, 0, 0}, {0, 1, 1/3, 0, 0, 1/3, 2/3, 2/3, 
    0}, {1/3, 0, 1/3, 1/3, 1/3, 0, 0, 0, 2/3}, {1/3, 1/3, 0, 1/3, 0, 0, 0, 
    2/3, 1/3}, {2/3, 0, 2/3, 0, 0, 1/3, 0, 1/3, 0}, 
   {0, 2/3, 0, 1, 1/3, 0, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 3/8, 0, 3/4, 0, 0}, 
   {0, 3/4, 0, 0, 3/8, 3/4, 0, 0, 0}, {3/8, 0, 3/8, 0, 0, 0, 3/4, 0, 0}, 
   {1/4, 0, 5/8, 1/4, 0, 1/8, 0, 5/8, 0}, {0, 1/8, 0, 0, 1/2, 1, 7/8, 0, 
    1/8}, {0, 1/8, 0, 7/8, 1/4, 0, 0, 1, 3/8}, {0, 1/4, 0, 1, 1/8, 0, 1/4, 0, 
    5/8}, {1/2, 0, 1/8, 0, 1/4, 1/8, 0, 7/8, 3/4}, 
   {3/8, 1, 0, 7/8, 0, 5/8, 3/8, 1/8, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1/2, 1/2, 0, 1, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 1, 0, 1/2, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/3, 1, 0, 1/3, 1, 0}, 
   {0, 0, 2/3, 0, 0, 1/3, 0, 0, 1/3}, {1/3, 1, 1/3, 0, 1/3, 1/3, 0, 0, 0}, 
   {0, 0, 0, 1/3, 2/3, 0, 2/3, 0, 2/3}, {2/3, 2/3, 0, 1/3, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 1/3, 0, 0, 2/3, 1/3}, {0, 0, 0, 1/3, 0, 1/3, 1/3, 1/3, 0}, 
   {2/3, 2/3, 0, 0, 1/3, 0, 0, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 1, 0, 1, 0}, {0, 2/3, 1/3, 0, 0, 1, 0, 1/3}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3}, {2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 1/3, 1/3, 1, 0, 1/3}, {0, 2/3, 1/3, 0, 0, 2/3, 1, 0}, 
   {0, 0, 1, 2/3, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, {1, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 1, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 2/7, 0, 3/7, 1/7, 0, 1/7, 4/7}, 
   {2/7, 0, 4/7, 2/7, 2/7, 0, 5/7, 0, 0}, {4/7, 2/7, 0, 0, 0, 4/7, 5/7, 0, 
    0}, {0, 3/7, 3/7, 3/7, 3/7, 0, 0, 0, 0}, {0, 0, 0, 6/7, 0, 3/7, 0, 0, 
    3/7}, {3/7, 0, 3/7, 0, 0, 0, 0, 3/7, 3/7}, {0, 2/7, 4/7, 0, 0, 5/7, 4/7, 
    3/7, 0}, {5/7, 4/7, 0, 1/7, 1, 0, 1/7, 0, 0}, 
   {4/7, 0, 2/7, 0, 0, 2/7, 0, 5/7, 2/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 1/3, 1, 1/3, 0}, {2/3, 0, 2/3, 1/3, 1/3, 0, 0, 0, 1/3}, 
   {1/3, 1/3, 1/3, 0, 0, 1/3, 2/3, 0, 1/3}, {0, 2/3, 0, 0, 0, 1/3, 0, 0, 1}, 
   {0, 0, 2/3, 1/3, 1, 0, 1, 1/3, 0}, {0, 0, 0, 0, 2/3, 1/3, 2/3, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 3/4, 1/4, 0, 1, 0, 1/2, 1/2}, {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 3/4, 1/2, 0, 0, 0, 1}, {3/4, 0, 0, 0, 1/2, 3/4, 0, 3/4, 1/4}, 
   {0, 0, 0, 1/4, 0, 1, 1/2, 1/2, 0}, {0, 0, 0, 3/4, 1/2, 0, 0, 1, 0}, 
   {0, 3/4, 0, 0, 1/2, 3/4, 0, 1/4, 3/4}, {0, 0, 0, 1/4, 0, 1, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 2, 2}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 1/3, 0, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1/3, 1/3, 0, 2/3, 0}, {0, 2/3, 0, 0, 2/3, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {1/3, 0, 1/3, 0, 1/3, 1, 0, 0, 2/3}, {0, 1/3, 0, 1/3, 0, 2/3, 0, 0, 2/3}, 
   {0, 1, 2/3, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 1/4, 0, 0, 0, 0}, 
   {1/4, 0, 0, 0, 1/2, 0, 3/4, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/4, 1}, {0, 1/4, 0, 1/2, 1, 1/4, 0, 3/4}, 
   {1/2, 0, 1, 0, 1/2, 1, 0, 0}, {1/2, 0, 1/2, 1, 0, 0, 1/2, 1/2}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1/2, 0, 1, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{4/5, 2/5, 0, 0, 3/5, 0, 0, 0, 1/5}, 
   {2/5, 0, 0, 2/5, 1/5, 0, 2/5, 0, 1/5}, {0, 0, 0, 1/5, 0, 1/5, 1, 3/5, 0}, 
   {0, 2/5, 4/5, 0, 2/5, 0, 0, 0, 0}, {0, 2/5, 0, 4/5, 0, 4/5, 0, 2/5, 0}, 
   {0, 0, 4/5, 0, 2/5, 0, 2/5, 2/5, 0}, {0, 0, 2/5, 1/5, 0, 3/5, 0, 0, 1}, 
   {4/5, 4/5, 0, 0, 1, 0, 1/5, 1/5, 0}, {0, 0, 0, 0, 1/5, 0, 1/5, 3/5, 4/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {1, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 1, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 1}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {1, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1, 0, 0, 1/2, 0, 1, 1/2, 0}, {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1/3, 0, 2/3, 0, 0, 0, 1/3}, 
   {0, 1/3, 0, 0, 1/3, 1, 0}, {1, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 0, 0, 0, 0, 1}, {0, 2/3, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 1/2, 0, 1, 0, 1, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 1, 0, 1/2, 0, 0, 1, 0, 1}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 0, 1/3, 0, 1}, {0, 0, 1, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 0, 1, 2/3, 0, 1/3, 0}, {0, 2/3, 1/3, 0, 1/3, 1/3, 0, 1/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 2/3, 0}}, 
  {{2, 2, 2}, {2, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 2/3, 0, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 1, 0, 0, 0, 1/3}, 
   {0, 0, 1/3, 0, 1/3, 1/3, 1, 0}, {2/3, 0, 1/3, 0, 1/3, 0, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 1/3, 1, 0}, {0, 0, 1, 0, 1/3, 0, 0, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 1/3, 0, 0, 0, 1/3}, {0, 0, 0, 1/3, 1/3, 1, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3}, {0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 1/3}, {2/3, 0, 1/3, 0, 1/3, 1, 0}, 
   {0, 0, 0, 1/3, 0, 2/3, 1/3}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1, 1, 1/2, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 1, 1/3, 0, 1}, {0, 0, 1, 1/3, 0, 0, 1, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 1, 1/3, 0, 1/3, 0, 1}, {2/3, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 2/3, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 1/3, 0, 0, 0, 0, 1/3}, {0, 0, 0, 1/3, 1/3, 1/3, 1/3, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 2/3}, {0, 2/3, 2/3, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 1, 1, 0, 0, 1/3}, 
   {0, 0, 1/3, 2/3, 0, 1/3, 1, 0}, {2/3, 0, 1/3, 0, 0, 1/3, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1/3, 1/3, 0, 2/3, 2/3}, {1, 1/3, 0, 1/3, 0, 2/3, 0, 0, 0}, 
   {1, 1, 0, 1/3, 0, 0, 0, 0, 0}, {0, 2/3, 1, 1/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 1/3, 1/3, 2/3, 0, 2/3, 0, 0}, {1, 1/3, 0, 0, 1/3, 1/3, 0, 0, 2/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 1, 0, 1, 1/3, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 1/3, 1/3, 0, 0, 2/3, 1}, {0, 0, 0, 0, 1, 1/3, 1/3, 0}, 
   {0, 0, 0, 0, 1/3, 1/3, 1/3, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 2/3}, 
   {1/3, 0, 0, 0, 2/3, 1/3, 0, 1}, {0, 1/3, 2/3, 0, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 2/3, 2/3, 1/3, 0, 1/3}, {1/3, 0, 2/3, 0, 0, 0, 1, 0}, 
   {1/3, 0, 0, 2/3, 0, 2/3, 1/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 2/3, 2/3, 0, 2/3}, {2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/3, 1/3, 0}, {1/3, 0, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 1, 0, 0, 0, 0, 2/3, 1/3}, {1/3, 0, 2/3, 0, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 2/3, 2/3, 0, 0, 0, 1/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 0, 1/3, 0, 1}, {0, 1/3, 2/3, 2/3, 0, 0, 1/3, 0}, 
   {0, 1/3, 1/3, 1/3, 1, 0, 1/3, 0}, {1/3, 0, 0, 0, 0, 2/3, 1, 0}, 
   {0, 1/3, 2/3, 0, 2/3, 1/3, 0, 1/3}, {0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 0, 2/3, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1}, {1/2, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 1, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 1, 0, 1/2}, {1, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 1, 0}, {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 0, 0, 1, 0}, {1, 0, 1/2, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 1, 0, 1/2, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 0, 1, 2/3}, {1/3, 0, 0, 2/3, 1/3, 0, 1/3}, 
   {1, 0, 0, 0, 0, 1/3, 0}, {0, 1/3, 0, 0, 1, 0, 1/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0}}, 
  {{2, 2, 2}, {2, 2, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, {0, 1/2, 1/2, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, {1, 1/2, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, {1/3, 0, 0, 1, 1/3, 0, 0, 0, 2/3}, 
   {0, 1, 1/3, 0, 2/3, 1/3, 0, 0, 0}, {1/3, 0, 2/3, 1, 1/3, 0, 0, 0, 0}, 
   {0, 1/3, 1/3, 1, 1/3, 0, 2/3, 0, 2/3}, {1/3, 0, 0, 0, 0, 1/3, 2/3, 2/3, 
    0}, {1, 0, 2/3, 0, 2/3, 1/3, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/4, 0, 0, 3/4, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1/4, 0}, 
   {1/4, 0, 0, 1, 1/4, 1, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/4, 1/2}, 
   {1/4, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 1/2, 0, 1/4, 1}, 
   {0, 3/4, 1/4, 3/4, 0, 1/2, 0, 0}, {0, 0, 1, 0, 3/4, 1/2, 3/4, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 5/8, 1/8, 0, 1/4}, 
   {1/4, 1/4, 0, 1/2, 0, 0, 1/2, 1, 0}, {5/8, 0, 3/8, 0, 1/8, 1/8, 0, 1/2, 
    1/8}, {1/4, 0, 1/4, 0, 0, 0, 0, 1, 0}, {1/4, 0, 1/4, 0, 5/8, 0, 0, 3/8, 
    0}, {0, 1, 0, 0, 0, 0, 1/4, 0, 1/4}, {0, 7/8, 1/4, 1/8, 5/8, 0, 0, 3/8, 
    1/2}, {0, 7/8, 1/4, 0, 1/2, 1/2, 1/8, 1/2, 0}, 
   {1, 0, 0, 1/8, 0, 0, 7/8, 0, 3/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1, 1/2}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 2/3, 0, 2/3, 0, 1}, {0, 1/3, 1/3, 0, 0, 2/3, 1/3, 1, 0}, 
   {0, 1, 1/3, 0, 0, 0, 2/3, 0, 1/3}, {0, 1, 1/3, 0, 2/3, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 0, 0, 1/3, 1, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 0, 2/3, 0, 1, 1/3}, {2/3, 2/3, 0, 0, 1/3, 1/3, 1/3, 0, 0}, 
   {0, 0, 2/3, 1/3, 2/3, 0, 1/3, 0, 0}, {0, 0, 0, 0, 1, 1/3, 0, 1/3, 1/3}, 
   {2/3, 0, 2/3, 1/3, 0, 0, 1, 0, 0}, {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1/2, 0, 1, 1/2}, {0, 1/2, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1, 0}, {1, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1, 1, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 1/3, 1/3, 0, 1}, 
   {0, 0, 1/3, 1, 0, 0, 1/3, 0}, {0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 0, 1/3, 1/3, 0, 1/3, 0, 1}, 
   {2/3, 0, 0, 0, 1/3, 0, 1/3, 2/3}, {0, 0, 2/3, 0, 1, 0, 1/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1/3, 0, 0, 0, 1, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 2/3, 0, 0, 1/3}, {0, 1, 1/3, 0, 0, 0, 0, 1/3, 1}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 1/3, 0, 0}, {1/3, 2/3, 0, 0, 2/3, 0, 1/3, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 1/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 1/3, 2/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 2/3, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 1, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1}, {1, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 3/4, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 3/4, 0, 0, 3/4}, 
   {0, 1, 1/2, 0, 1, 1/2, 0, 0, 0}, {1, 1/2, 0, 1/2, 0, 1/4, 3/4, 0, 0}, 
   {1/2, 0, 1/4, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 1, 1, 0, 1/2, 0, 0, 0}, 
   {1, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {1/2, 1, 0, 1/2, 1/4, 0, 0, 3/4, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, {1, 0, 1/3, 1/3, 0, 1/3, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1/3, 0, 0, 2/3, 0}, {2/3, 1/3, 0, 0, 1/3, 0, 0, 0, 0}, 
   {0, 1, 0, 1/3, 0, 1/3, 2/3, 0, 2/3}, {1/3, 0, 1/3, 0, 1, 2/3, 0, 2/3, 
    2/3}, {2/3, 1/3, 0, 1/3, 2/3, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1/2, 1, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1/2}, {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1/2, 0, 0, 1/2, 1/2}, {1/3, 0, 1/6, 0, 5/6, 1/6, 0, 0}, 
   {0, 5/6, 1/2, 0, 1/2, 0, 0, 1/6}, {0, 5/6, 0, 1/6, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 2/3, 5/6, 0, 0, 0, 1/6}, {0, 1/6, 1/2, 1/2, 1/2, 0, 1/6, 0}, 
   {0, 1/6, 0, 2/3, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 2/3, 0, 1/6, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1/3, 1, 0, 0, 1/3, 1}, {2/3, 0, 0, 0, 0, 1/3, 1, 0, 0}, 
   {0, 0, 0, 1/3, 1/3, 0, 1, 2/3, 0}, {0, 0, 0, 2/3, 0, 1, 0, 1, 1/3}, 
   {0, 0, 2/3, 0, 0, 1/3, 0, 1/3, 1/3}, {0, 2/3, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 2/3, 0}, 
   {0, 1, 1/3, 1/3, 0, 2/3, 0, 0}, {0, 1/3, 0, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 1/3, 1/3, 0, 0, 0, 2/3}, {1/3, 0, 1/3, 1, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1, 1, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1, 1/2, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 1, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 2/3, 1, 0, 1/3, 1/3, 1, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 2/3, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {2/3, 2/3, 0, 0, 1/3, 0, 1/3, 1/3, 0}, {2/3, 0, 0, 0, 1, 2/3, 1/3, 1/3, 
    0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 1/4, 0, 1, 3/4, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 3/4, 0}, 
   {0, 1/2, 1/2, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 3/4, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 3/4}, {0, 0, 1, 0, 1/2, 0, 0, 3/4, 0}, 
   {0, 0, 1, 3/4, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 1/4, 0, 1, 3/4, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 1, 0, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 1, 0, 1/3, 2/3, 0, 2/3}, {0, 1/3, 2/3, 1/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1/3, 2/3, 0, 0, 0}, 
   {1, 0, 0, 1/3, 0, 0, 2/3, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{3/5, 1, 0, 0, 2/5, 0, 0, 0, 2/5}, 
   {0, 2/5, 0, 3/5, 2/5, 0, 3/5, 0, 2/5}, {1/5, 0, 4/5, 4/5, 0, 1/5, 1/5, 
    1/5, 0}, {0, 3/5, 1, 0, 1/5, 0, 0, 0, 3/5}, {0, 0, 1, 0, 4/5, 3/5, 0, 0, 
    0}, {4/5, 4/5, 0, 2/5, 0, 2/5, 3/5, 3/5, 0}, {0, 1/5, 1/5, 0, 0, 0, 2/5, 
    1, 0}, {2/5, 0, 0, 0, 0, 3/5, 0, 0, 1/5}, {1, 0, 0, 0, 0, 0, 0, 0, 1/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/5, 1/5, 0, 0, 3/5}, {4/5, 0, 1/5, 1, 0, 0, 0, 3/5, 0}, 
   {1/5, 3/5, 1/5, 2/5, 0, 3/5, 0, 0, 0}, {0, 0, 1, 0, 4/5, 1/5, 0, 3/5, 0}, 
   {3/5, 0, 2/5, 0, 1/5, 1/5, 3/5, 0, 0}, {4/5, 1/5, 0, 1, 0, 0, 0, 3/5, 0}, 
   {0, 4/5, 4/5, 2/5, 0, 0, 3/5, 0, 0}, {1, 0, 0, 0, 4/5, 4/5, 0, 3/5, 0}, 
   {0, 1/5, 1/5, 2/5, 0, 0, 3/5, 0, 3/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2, 
    0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 
    0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 
    1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 2/3}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1/3, 0, 0, 0, 2/3, 1/3, 1, 0}, {1/3, 0, 2/3, 0, 2/3, 2/3, 0, 1/3}, 
   {1, 0, 0, 2/3, 0, 0, 0, 1}, {0, 1/3, 2/3, 0, 0, 1/3, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 1/3, 1/3, 0, 0, 0}, 
   {0, 1/3, 1/3, 1/3, 0, 0, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, 
   {1/3, 0, 2/3, 1/3, 0, 0, 0, 2/3, 2/3}, {1/3, 2/3, 0, 1, 2/3, 0, 0, 0, 0}, 
   {0, 1, 1/3, 0, 1/3, 1/3, 2/3, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 2/3, 0, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 1/3, 1, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 2/3, 0, 1/3}, {0, 1/3, 0, 2/3, 0, 1/3, 1, 0}, 
   {1, 0, 2/3, 0, 0, 0, 0, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1/2, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/4, 1/4, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/4, 1/4}, {1/4, 1/4, 0, 1/2, 3/4, 0, 1/2, 0, 
    0}, {0, 1/2, 0, 0, 1/2, 3/4, 0, 1/2, 0}, {1/4, 0, 1/4, 1/4, 0, 1/4, 1, 0, 
    1/4}, {3/4, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 3/4, 
    1/2}, {0, 1/4, 1, 1, 1/4, 0, 1/4, 1/4, 0}, {1/2, 3/4, 0, 0, 0, 1/2, 0, 0, 
    1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1/2}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 0, 2/3, 2/3, 0, 1/3}, {0, 1/3, 1/3, 2/3, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 2/3, 0, 0, 1/3, 1/3, 0}, {1/3, 0, 0, 0, 2/3, 0, 0, 2/3, 1/3}, 
   {0, 1/3, 1/3, 2/3, 2/3, 0, 1/3, 1/3, 0}, {1/3, 2/3, 0, 0, 0, 0, 2/3, 0, 
    1}, {0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 1, 0, 1/2, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 0, 1, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1, 1/3, 0, 0, 0}, {0, 1/3, 1/3, 0, 0, 0, 2/3, 0}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 0, 2/3}, {0, 1, 0, 1, 1/3, 0, 2/3, 2/3}, 
   {1, 0, 1/3, 0, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 2/3, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 0, 2/3, 0}, 
   {1/3, 0, 0, 0, 1/3, 1, 0}, {0, 1/3, 2/3, 0, 0, 0, 1/3}, 
   {1/3, 2/3, 0, 0, 0, 0, 1/3}, {0, 1, 2/3, 0, 1/3, 1/3, 0}, 
   {1/3, 0, 0, 0, 2/3, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1, 1/4, 0, 3/4, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 3/4, 1/2, 0, 0, 3/4, 0, 0}, {1, 0, 0, 1/2, 0, 3/4, 0, 0, 0}, 
   {0, 0, 1/4, 1/2, 3/4, 0, 0, 0, 3/4}, {0, 0, 1, 1/2, 0, 3/4, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 1/4, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 1/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 1/3, 0, 0, 0, 0, 0, 2/3}, 
   {1, 0, 1/3, 0, 1/3, 1/3, 0, 2/3, 0}, {0, 1/3, 0, 1, 0, 2/3, 0, 0, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 2/3, 2/3, 0}, {0, 1, 1/3, 0, 1, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 0, 1/3, 2/3, 0, 2/3, 0, 0}, {1, 0, 2/3, 1/3, 0, 0, 2/3, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 2/3, 0, 0, 1/3, 0, 0, 2/3}, {0, 1, 0, 0, 1/3, 1, 0, 1/3, 2/3}, 
   {1, 0, 1, 1, 2/3, 0, 0, 1/3, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1/3}, 
   {0, 1/3, 0, 1/3, 0, 0, 2/3, 2/3, 0}, {2/3, 1, 0, 1, 1/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 0, 2/3, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 2/3, 0, 0, 1/3, 1, 0}, 
   {1/3, 1/3, 0, 0, 0, 2/3, 0, 0, 1/3}, {2/3, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 2/3, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 2/3, 0, 2/3, 0}, 
   {1/3, 1, 0, 0, 2/3, 0, 1/3, 1/3, 0}, {0, 0, 1/3, 2/3, 0, 2/3, 0, 0, 1}, 
   {0, 0, 1/3, 0, 0, 0, 2/3, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 2/3, 0, 0, 0, 1/3}, {1/3, 0, 0, 2/3, 0, 0, 1, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 2/3, 0, 2/3, 1/3}, {1, 2/3, 0, 2/3, 0, 0, 0, 0, 1/3}, 
   {0, 1/3, 1/3, 0, 0, 2/3, 1/3, 1/3, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, {0, 0, 2/3, 2/3, 2/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1/2, 0}, {1, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, {1, 0, 0, 1, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 1, 1/3, 0, 0}, {0, 2/3, 1/3, 0, 0, 0, 1/3, 1}, 
   {0, 2/3, 0, 1/3, 1/3, 0, 1, 1}, {1/3, 1/3, 1/3, 0, 0, 0, 1/3, 1/3}, 
   {0, 0, 1, 2/3, 0, 1/3, 0, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 1/3, 1, 2/3, 0, 0}, 
   {1, 1/3, 0, 1/3, 0, 0, 0, 0, 0}, {0, 0, 1/3, 1/3, 2/3, 0, 0, 2/3, 2/3}, 
   {1, 1/3, 0, 0, 1/3, 1/3, 2/3, 0, 2/3}, {0, 0, 1/3, 1, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1/2, 1, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 0, 0, 1/5, 3/5, 0, 0, 2/5}, {3/5, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1/5, 0, 1, 0, 0, 0, 4/5, 2/5}, {3/5, 0, 3/5, 0, 1/5, 3/5, 2/5, 0, 0}, 
   {2/5, 3/5, 0, 1/5, 2/5, 0, 2/5, 2/5, 0}, {0, 2/5, 0, 2/5, 2/5, 0, 2/5, 0, 
    0}, {0, 0, 2/5, 0, 4/5, 4/5, 0, 2/5, 0}, {0, 4/5, 0, 2/5, 0, 0, 4/5, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 4/7, 0, 0, 4/7, 4/7, 0, 0}, {4/7, 0, 0, 0, 0, 0, 0, 4/7}, 
   {1/7, 0, 0, 3/7, 6/7, 2/7, 0, 0}, {0, 3/7, 1/7, 0, 3/7, 2/7, 0, 0}, 
   {1/7, 0, 2/7, 1/7, 0, 0, 6/7, 2/7}, {0, 5/7, 0, 1/7, 2/7, 0, 6/7, 6/7}, 
   {1, 0, 3/7, 0, 1/7, 6/7, 4/7, 0}, {0, 1/7, 6/7, 1, 0, 6/7, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 1, 0, 2/3, 0, 1/3, 0, 1/3}, 
   {1/3, 0, 2/3, 0, 0, 1/3, 0, 1/3}, {0, 1, 0, 0, 0, 0, 1, 2/3}, 
   {0, 2/3, 0, 0, 0, 2/3, 2/3, 0}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 1, 1/2, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/3, 1/3, 0, 1/3}, {0, 0, 1/3, 1/3, 0, 0, 1/3, 0}, 
   {2/3, 0, 0, 0, 1, 0, 1, 0}, {0, 2/3, 1/3, 1/3, 0, 1/3, 0, 1/3}, 
   {2/3, 0, 2/3, 0, 1/3, 2/3, 1/3, 0}, {2/3, 0, 0, 2/3, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 2/3, 2/3, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 1, 1, 0, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, {0, 1/3, 1, 0, 1, 1/3, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 2/3, 0, 0, 0}, {1/3, 2/3, 0, 1, 2/3, 0, 2/3, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 1/2, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 1}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 1}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1}, {0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 3/5, 0, 0, 0, 3/5, 0}, {0, 0, 0, 0, 3/5, 3/5, 0, 0}, 
   {0, 0, 0, 1/5, 1, 2/5, 4/5, 0}, {0, 0, 4/5, 1, 0, 4/5, 0, 1}, 
   {3/5, 0, 2/5, 0, 1/5, 0, 1, 1/5}, {0, 0, 0, 2/5, 1/5, 0, 1/5, 1}, 
   {0, 0, 1, 4/5, 0, 1/5, 2/5, 0}, {0, 0, 1/5, 0, 2/5, 2/5, 0, 4/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 0, 1, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1/2, 1, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/4, 0, 0, 0, 3/4, 1/2, 0, 0}, {0, 1/2, 3/4, 0, 0, 0, 1/4, 1/4}, 
   {1/4, 0, 0, 1/2, 1/4, 0, 1/2, 0}, {0, 1/2, 1/4, 0, 1/2, 3/4, 1/2, 0}, 
   {1/4, 0, 1/2, 1, 0, 1/4, 0, 1/4}, {0, 1/2, 0, 1/4, 1/2, 0, 0, 1/2}, 
   {1/4, 0, 1/2, 0, 1/4, 0, 0, 1/2}, {1/4, 0, 1, 1/2, 0, 1/4, 1/4, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 4/5, 0, 1, 2/5, 0, 1/5, 3/5}, {1, 2/5, 0, 4/5, 3/5, 0, 0, 1/5, 0}, 
   {0, 0, 4/5, 1/5, 0, 3/5, 1, 0, 2/5}, {0, 0, 0, 0, 0, 3/5, 0, 3/5, 0}, 
   {0, 3/5, 0, 0, 0, 3/5, 0, 0, 0}, {0, 3/5, 0, 0, 0, 0, 3/5, 0, 0}, 
   {0, 0, 2/5, 1, 0, 0, 0, 1, 3/5}, {4/5, 1/5, 0, 0, 1/5, 4/5, 4/5, 0, 1/5}, 
   {0, 0, 1, 2/5, 3/5, 0, 3/5, 2/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 1, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 2/3, 0, 0, 1/3, 1/3}, {0, 1/3, 2/3, 0, 0, 0, 1/3, 1/3}, 
   {0, 1, 0, 0, 0, 0, 1/3, 1}, {1/3, 0, 2/3, 2/3, 0, 1/3, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 2/3, 0, 0, 1, 1}, 
   {0, 1/3, 2/3, 0, 0, 1/3, 0, 0}, {0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3}, {2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 1, 1/3}, {0, 1, 0, 0, 0, 0, 1, 1/3}, 
   {1/3, 0, 0, 2/3, 2/3, 1/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 1/3, 1/3, 0, 2/3, 0, 2/3}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1/3, 0, 2/3, 0, 0, 1/3, 0, 0, 2/3}, {0, 1, 1, 0, 0, 1, 2/3, 0, 0}, 
   {1/3, 0, 0, 1, 1, 0, 0, 2/3, 0}, {1/3, 0, 0, 1, 1/3, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, {0, 2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 2/3, 0, 1/3, 1/3}, 
   {0, 1, 1, 1/3, 0, 0, 2/3, 0, 0}, {2/3, 1/3, 0, 0, 0, 2/3, 0, 1/3, 0}, 
   {0, 0, 0, 1, 1/3, 0, 0, 0, 2/3}, {0, 0, 0, 0, 1/3, 0, 1, 0, 2/3}, 
   {1, 2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 1/3, 1, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 0, 1, 0, 0, 1/3, 1/3, 2/3, 0}, {1, 0, 0, 2/3, 2/3, 0, 1/3, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 1/4, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 3/4, 1/4, 0, 1/4, 1/2, 0, 0}, {1/2, 3/4, 0, 3/4, 1/2, 0, 0, 1/4, 
    1/4}, {1/2, 3/4, 0, 3/4, 0, 0, 1/4, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/4, 3/4, 
    0}, {0, 1/4, 1/4, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 3/4, 0, 1/4, 0, 0, 0, 
    3/4}, {1/2, 0, 0, 0, 1/4, 3/4, 0, 0, 3/4}, {0, 1, 1/4, 1/2, 0, 1/2, 0, 0, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/3, 1, 0, 1/3, 0}, 
   {2/3, 0, 1/3, 0, 0, 1/3, 0, 1/3}, {2/3, 0, 1/3, 0, 0, 0, 1, 2/3}, 
   {0, 0, 1, 2/3, 0, 0, 1/3, 0}, {0, 2/3, 0, 1/3, 1/3, 1/3, 0, 1/3}, 
   {2/3, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1}, {1, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, {1, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 1, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 1, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 3/7, 5/7, 1/7, 0, 0, 4/7, 4/7}, 
   {5/7, 1/7, 0, 0, 0, 3/7, 0, 0, 0}, {0, 6/7, 0, 0, 4/7, 4/7, 0, 0, 2/7}, 
   {0, 2/7, 4/7, 0, 0, 0, 4/7, 0, 2/7}, {2/7, 0, 2/7, 0, 0, 0, 6/7, 2/7, 0}, 
   {2/7, 0, 1, 0, 0, 1/7, 0, 4/7, 6/7}, {0, 6/7, 5/7, 0, 0, 1/7, 2/7, 2/7, 
    0}, {3/7, 1/7, 0, 1, 3/7, 0, 0, 0, 2/7}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/3, 1, 0, 0, 0, 0}, 
   {1, 1/3, 0, 0, 0, 1, 0, 2/3, 0}, {0, 0, 1/3, 1/3, 1, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0, 2/3}, {0, 2/3, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 2/3, 0, 2/3, 2/3, 0, 2/3, 2/3, 0}, {0, 0, 1/3, 0, 0, 1, 0, 2/3, 0}, 
   {1, 1/3, 0, 1/3, 1/3, 0, 0, 0, 0}, {0, 0, 1/3, 2/3, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1}, {0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 0, 1, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 0, 0, 1/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 1/3, 0}, {0, 2/3, 2/3, 0, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 0, 2/3, 1/3, 0, 2/3, 0, 1/3}, {2/3, 2/3, 0, 1/3, 0, 1/3, 1, 1/3, 
    0}, {0, 0, 2/3, 0, 1/3, 2/3, 1/3, 0, 0}, {0, 2/3, 2/3, 0, 1/3, 0, 1/3, 0, 
    0}, {2/3, 0, 0, 1/3, 0, 1/3, 0, 1/3, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/5, 0, 2/5, 1, 0, 0, 0, 2/5}, {0, 3/5, 1/5, 0, 1/5, 0, 2/5, 0}, 
   {0, 0, 2/5, 0, 4/5, 0, 0, 2/5}, {4/5, 0, 0, 2/5, 0, 0, 2/5, 0}, 
   {0, 3/5, 0, 3/5, 0, 2/5, 0, 0}, {3/5, 0, 1/5, 0, 3/5, 2/5, 0, 0}, 
   {0, 1, 2/5, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1/2, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1/2, 0, 0, 1, 0}, {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 1/3, 0, 1}, 
   {1/3, 0, 2/3, 0, 0, 0, 1/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 2/3}, 
   {1, 0, 0, 0, 2/3, 1/3, 0, 1/3}, {0, 1/3, 0, 2/3, 0, 2/3, 1, 0}, 
   {2/3, 1/3, 0, 0, 0, 0, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 1, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 2/3, 0, 1, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 1/3, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 2/3, 0, 2/3, 0, 1/3, 1/3}, {0, 1, 0, 2/3, 0, 1/3, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {1, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 1, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 0, 1, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 1, 1/2, 0, 
    1/2}, {0, 0, 0, 0, 1/2, 1/2, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/3, 0, 1, 1}, {2/3, 0, 1/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 1/3, 1/3, 1/3, 0, 2/3}, {0, 2/3, 1/3, 0, 0, 0, 1/3, 1/3}, 
   {0, 0, 0, 1, 1, 1/3, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1/2, 0, 0, 1/2}, {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 1, 0, 1/3, 1, 0, 1/3}, 
   {2/3, 0, 0, 0, 1, 0, 0, 1/3, 0}, {0, 2/3, 2/3, 0, 1, 2/3, 1/3, 0, 1/3}, 
   {1/3, 1/3, 1, 0, 1/3, 0, 2/3, 1/3, 0}, {2/3, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1, 0, 1/2, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {1/2, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, {1/3, 0, 0, 0, 0, 2/3, 1/3, 2/3}, 
   {1, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 1/3, 0, 2/3, 0, 1, 0, 1/3}, 
   {1, 0, 0, 2/3, 0, 1/3, 0, 1/3}, {0, 1/3, 0, 0, 0, 0, 1, 2/3}, 
   {0, 1, 2/3, 0, 2/3, 0, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 2/5, 2/5, 0, 0, 1}, {1/5, 0, 1/5, 4/5, 0, 0, 1/5, 1/5, 0}, 
   {3/5, 3/5, 0, 2/5, 0, 2/5, 1/5, 0, 1/5}, {0, 0, 3/5, 0, 4/5, 0, 0, 1, 0}, 
   {1, 0, 2/5, 0, 0, 4/5, 0, 1/5, 1/5}, {0, 1/5, 3/5, 0, 0, 4/5, 1, 0, 0}, 
   {3/5, 4/5, 0, 2/5, 2/5, 0, 0, 1/5, 1/5}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 0, 0, 0, 1/3}, {0, 0, 0, 2/3, 0, 0, 2/3, 0, 1/3}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3, 1/3}, {2/3, 2/3, 0, 0, 0, 1/3, 0, 1, 0}, 
   {0, 0, 0, 1/3, 1, 0, 1, 0, 1/3}, {0, 0, 0, 2/3, 0, 1/3, 2/3, 1, 0}, 
   {2/3, 0, 0, 0, 0, 1, 1/3, 0, 2/3}, {0, 0, 0, 0, 2/3, 1/3, 1/3, 2/3, 0}, 
   {0, 0, 0, 1/3, 1/3, 0, 0, 1, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1/3, 0, 0, 0, 1/3, 0}, 
   {0, 0, 0, 0, 1/3, 1/3, 1, 0, 1/3}, {2/3, 0, 0, 0, 2/3, 0, 0, 2/3, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {2/3, 2/3, 0, 1/3, 0, 2/3, 1/3, 0, 1/3}, 
   {0, 0, 2/3, 0, 1, 1, 0, 1/3, 0}, {2/3, 0, 0, 0, 1/3, 1/3, 2/3, 1/3, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 2/3, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1/3, 0, 1, 2/3, 0, 0, 0, 2/3, 1/3}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1/3}, {0, 1/3, 0, 0, 2/3, 0, 1, 1, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/4, 1/4, 1/4, 1/2, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1, 0, 1/4, 0, 1, 1/4, 0, 1}, 
   {0, 1, 0, 0, 1/2, 3/4, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1/4, 1, 0}, 
   {1/2, 0, 1/4, 1, 0, 0, 0, 1/2}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 1/3, 0, 2/3, 0}, {0, 1, 1/3, 1, 0, 0, 0, 0}, 
   {0, 1, 1/3, 0, 1/3, 0, 0, 2/3}, {1/3, 0, 0, 1/3, 0, 2/3, 0, 0}, 
   {0, 2/3, 1/3, 2/3, 2/3, 0, 0, 0}, {2/3, 0, 1/3, 0, 0, 0, 0, 2/3}, 
   {0, 2/3, 1/3, 0, 2/3, 2/3, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 1/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 1, 0, 1/3, 0, 0, 0}, {1, 0, 1/3, 0, 1/3, 0, 0, 2/3}, 
   {0, 1, 0, 1, 0, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 2/3, 2/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, {1/2, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1/2, 1, 0, 1/2, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 2/3, 0, 0, 1, 0, 1/3}, 
   {1/3, 0, 0, 0, 2/3, 0, 1/3, 0}, {1/3, 0, 0, 2/3, 2/3, 1/3, 0, 1/3}, 
   {1, 0, 0, 2/3, 0, 1/3, 0, 1/3}, {0, 1, 2/3, 0, 0, 0, 1, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, {2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 2/3, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 1, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 2/3, 0, 0, 0, 0, 1/3}, {2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 2/3, 2/3, 0}, 
   {0, 1, 0, 2/3, 0, 1/3, 1/3, 0}, {1/3, 0, 2/3, 0, 2/3, 0, 2/3, 1/3}, 
   {0, 1/3, 1/3, 1/3, 1/3, 0, 0, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 0, 1, 1/3}, {0, 1/3, 0, 2/3, 1/3, 0, 0}, 
   {1/3, 0, 2/3, 0, 1/3, 0, 0}, {0, 1, 0, 0, 0, 1, 1/3}, 
   {0, 0, 0, 0, 2/3, 0, 2/3}, {2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 2/3, 0, 2/3, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1/2, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 2/3, 0}, {0, 1/3, 2/3, 0, 0, 1, 0, 2/3}, 
   {1/3, 0, 0, 0, 2/3, 0, 1, 1/3}, {1/3, 0, 2/3, 2/3, 0, 1/3, 0, 0}, 
   {0, 1/3, 0, 0, 0, 0, 1, 1/3}, {1/3, 0, 0, 2/3, 0, 1/3, 0, 2/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 2/3, 1/3, 0, 0}, {1/3, 0, 0, 2/3, 0, 0, 1, 1/3}, 
   {0, 2/3, 0, 2/3, 0, 2/3, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 2/3, 2/3}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 1, 1}, {1/3, 0, 2/3, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 1}, {0, 1, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 2/3, 0, 0, 1/3, 0, 0}, {0, 1/3, 0, 0, 2/3, 0, 1, 1/3}, 
   {1/3, 0, 0, 0, 2/3, 0, 1, 1}, {1/3, 0, 0, 2/3, 2/3, 0, 1/3, 1/3}, 
   {0, 1, 0, 0, 0, 1/3, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3}, {2/3, 0, 0, 0, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/4, 0, 0, 3/4, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 3/4, 1, 0, 0}, 
   {0, 1/2, 3/4, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 3/4, 0, 0, 1}, {1/4, 0, 0, 3/4, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1/2, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {1/2, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1, 1, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 0, 1/3, 2/3, 0, 0}, {1, 0, 0, 1/3, 0, 0, 0, 0}, 
   {0, 1, 0, 1/3, 0, 0, 2/3, 0}, {1, 0, 1/3, 0, 1/3, 2/3, 0, 2/3}, 
   {0, 1/3, 2/3, 1/3, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/3, 0, 0, 1/3, 1, 0, 0, 1/3}, {0, 2/3, 1, 0, 0, 1/3, 1/3, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0}, {2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, {0, 0, 0, 1, 1/3, 1/3, 1/3, 0}, 
   {0, 0, 1/3, 2/3, 0, 0, 0, 1/3}, {2/3, 0, 1/3, 0, 0, 2/3, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 1, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, {0, 1/2, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1/2, 0, 1/2, 1, 1, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1, 1/2, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1}, {0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, {1, 0, 1, 0, 0, 1/2, 1, 0}, 
   {1, 0, 0, 1, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1/2}, {0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/2, 0, 0, 1/6, 0}, 
   {0, 0, 0, 1/6, 1/2, 0, 1/2}, {5/6, 0, 1/3, 0, 1/6, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 1/2}, {0, 5/6, 1/2, 0, 0, 0, 1/6}, 
   {1/2, 0, 0, 1/6, 0, 2/3, 1/6}, {0, 1/6, 0, 1/6, 1/2, 1/2, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 0, 1, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 0, 0, 1/3, 1/3, 0, 2/3, 1}, 
   {0, 0, 1, 0, 0, 1/3, 1/3, 0}, {0, 0, 0, 1/3, 1, 1, 1/3, 0}, 
   {0, 0, 1, 2/3, 0, 0, 2/3, 1}, {0, 2/3, 1/3, 0, 2/3, 0, 0, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 1/3, 1, 0, 1/3, 0, 2/3, 0}, 
   {1, 0, 0, 1/3, 0, 0, 0, 2/3}, {0, 1, 0, 1, 0, 0, 0, 2/3}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1/3, 0, 1/3, 0, 2/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 1/3, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1/3, 0, 1}, 
   {0, 0, 2/3, 0, 1, 2/3, 1, 0}, {0, 0, 1/3, 1, 0, 1/3, 0, 1}, 
   {0, 2/3, 0, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3}, {2/3, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 2/3, 1/3, 0, 0, 0, 1/3, 0}, {0, 0, 1, 0, 0, 2/3, 1, 0}, 
   {2/3, 0, 1, 0, 0, 1/3, 0, 1}, {0, 2/3, 0, 1/3, 1/3, 2/3, 1/3, 0}, 
   {2/3, 0, 0, 1, 1/3, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 3/5, 0, 0, 0, 0, 3/5}, 
   {3/5, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1/5, 0, 4/5, 2/5}, 
   {0, 0, 2/5, 4/5, 0, 1/5, 1, 0}, {0, 3/5, 1/5, 0, 1, 1, 0, 1/5}, 
   {0, 3/5, 0, 4/5, 2/5, 2/5, 1/5, 0}, {0, 0, 1, 0, 4/5, 0, 1, 1/5}, 
   {0, 0, 1/5, 1, 0, 4/5, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/4, 0, 1/2, 0, 0}, {3/4, 0, 0, 1/2, 0, 1/2, 0, 1/4, 1/4}, 
   {0, 1/2, 0, 0, 0, 0, 0, 3/4, 1}, {3/4, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {1/4, 0, 1/4, 3/4, 0, 0, 1/2, 1/2, 0}, {0, 1/4, 3/4, 1/4, 0, 1/4, 1/4, 0, 
    1/2}, {0, 1/4, 0, 0, 1/2, 3/4, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 
    1/2, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 3/5, 2/5, 0, 1, 3/5, 0}, {1/5, 0, 1/5, 1/5, 0, 4/5, 0, 4/5, 
    4/5}, {3/5, 1, 0, 0, 1, 3/5, 2/5, 0, 0}, {2/5, 0, 1, 0, 1/5, 0, 4/5, 0, 
    0}, {0, 1/5, 0, 3/5, 4/5, 0, 0, 2/5, 1}, {0, 1/5, 0, 1, 0, 2/5, 4/5, 0, 
    3/5}, {0, 0, 0, 0, 0, 3/5, 0, 0, 0}, {3/5, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 3/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1/2, 0, 1/4, 0, 1}, {1/2, 1/2, 0, 0, 1/4, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/4, 1/4}, {3/4, 0, 0, 0, 1/4, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/4, 3/4, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/4, 1, 0, 0, 1/2}, 
   {1/4, 1, 0, 1/2, 3/4, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1/4, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 1/2, 0, 1/2, 1, 0, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 1/2}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 
    0}, {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, {0, 1, 1/2, 0, 0, 1/2, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1, 0, 1, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1/2, 1, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 1/3, 2/3, 0, 2/3, 2/3}, {0, 0, 0, 1, 0, 1/3, 2/3, 0, 1}, 
   {1, 0, 0, 1/3, 0, 0, 1, 2/3, 0}, {0, 1/3, 1, 1/3, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 0, 0, 0, 2/3}, {0, 0, 0, 1/3, 2/3, 0, 0, 0, 1/3}, 
   {0, 2/3, 0, 2/3, 0, 2/3, 0, 1, 0}, {1/3, 0, 0, 2/3, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 0, 0, 1, 2/3, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/3, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 1/3, 0, 0, 0, 0}, 
   {0, 0, 1, 2/3, 2/3, 0, 1/3, 0, 0}, {1/3, 1, 0, 0, 0, 2/3, 0, 1/3, 1/3}, 
   {0, 0, 1, 2/3, 0, 0, 1/3, 2/3, 0}, {0, 0, 1/3, 1/3, 0, 1, 1/3, 0, 2/3}, 
   {2/3, 0, 1, 0, 1/3, 0, 0, 1/3, 1/3}, {1, 1/3, 0, 2/3, 1/3, 0, 1/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0}, {1/3, 0, 0, 0, 1/3, 0, 1, 1/3}, 
   {0, 1/3, 0, 2/3, 1, 1/3, 0, 0}, {1/3, 0, 0, 2/3, 1/3, 0, 1/3, 1/3}, 
   {1/3, 0, 2/3, 0, 1/3, 1, 0, 2/3}, {0, 1/3, 0, 2/3, 1/3, 0, 1/3, 1/3}, 
   {0, 1/3, 1/3, 1/3, 0, 1/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 1, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {1/3, 1/3, 0, 2/3, 1/3, 0, 1/3, 0}, {2/3, 0, 0, 2/3, 1, 1/3, 0, 1/3}, 
   {0, 2/3, 1/3, 1/3, 0, 0, 1, 0}, {0, 0, 1/3, 1/3, 0, 1, 0, 1}, 
   {0, 0, 0, 2/3, 1, 2/3, 1/3, 0}, {2/3, 0, 0, 0, 1/3, 0, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 1/3, 1/3, 0, 2/3, 0}, {1, 0, 1, 0, 2/3, 0, 0, 0}, 
   {1, 0, 0, 1/3, 1/3, 2/3, 0, 0}, {0, 1/3, 1/3, 0, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 1/2, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1, 1}, 
   {1/2, 0, 0, 0, 1, 1/2, 1, 0, 0}, {1/2, 1, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, {1, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 0, 2/3, 1/3, 0, 1/3}, {1, 1/3, 0, 0, 0, 0, 0, 1/3, 0}, 
   {1/3, 1/3, 0, 0, 0, 2/3, 1, 0, 1/3}, {0, 2/3, 1, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/3, 2/3}, {0, 2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 2/3, 2/3, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 2/3, 0, 0, 0, 1/3, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 1/3, 0}, {0, 1/3, 0, 0, 0, 0, 2/3, 1/3}, 
   {1/3, 0, 0, 0, 2/3, 1/3, 1/3, 0}, {2/3, 1/3, 0, 0, 0, 0, 0, 1/3}, 
   {0, 1/3, 0, 0, 0, 1/3, 0, 2/3}, {0, 1/3, 2/3, 2/3, 0, 1/3, 0, 0}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 1/3, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 1, 1, 0, 1/2, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 1/2}, {1, 1, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1, 0, 1/2, 0, 1/2, 0, 0, 1}, {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1/2, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 2/3, 0, 1/3, 0}, {1/3, 0, 0, 0, 0, 1/3, 0, 1}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {1/3, 0, 2/3, 0, 0, 2/3, 1, 0}, 
   {0, 1/3, 1, 1/3, 1/3, 0, 1/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1, 0, 1/3, 2/3, 0, 0}, {0, 1/3, 0, 1, 0, 0, 2/3, 0}, 
   {0, 1/3, 1, 0, 1/3, 0, 0, 2/3}, {1/3, 0, 0, 1/3, 0, 2/3, 0, 2/3}, 
   {1/3, 0, 2/3, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 2/3, 0, 2/3, 0, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 3/5, 0, 0, 0, 0, 0, 3/5, 0}, {0, 0, 3/5, 0, 0, 3/5, 0, 0, 3/5}, 
   {0, 2/5, 0, 3/5, 2/5, 0, 0, 0, 1}, {0, 1, 0, 0, 2/5, 0, 0, 3/5, 1}, 
   {4/5, 0, 4/5, 1/5, 0, 1/5, 4/5, 4/5, 0}, {0, 1/5, 0, 0, 1/5, 0, 1, 2/5, 
    0}, {1, 0, 1, 0, 1/5, 0, 0, 0, 1/5}, {3/5, 1/5, 0, 2/5, 0, 2/5, 3/5, 0, 
    1/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {1, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 2/3, 0, 0, 1/3, 0, 1/3}, 
   {0, 1/3, 2/3, 0, 0, 2/3, 0, 1, 0}, {2/3, 1/3, 0, 0, 0, 0, 2/3, 1/3, 0}, 
   {0, 0, 2/3, 2/3, 2/3, 0, 0, 2/3, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0, 2/3}, {0, 1/3, 2/3, 0, 2/3, 0, 1/3, 0, 1/3}, 
   {0, 1/3, 0, 1/3, 1/3, 1/3, 0, 1/3, 0}, {1/3, 0, 1/3, 0, 0, 2/3, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/7, 0, 0, 0, 6/7, 0, 0, 6/7, 4/7}, {0, 2/7, 4/7, 2/7, 0, 0, 2/7, 0, 0}, 
   {0, 0, 2/7, 0, 5/7, 0, 0, 5/7, 5/7}, {4/7, 4/7, 0, 3/7, 0, 1/7, 1/7, 0, 
    0}, {4/7, 0, 0, 1/7, 0, 3/7, 1/7, 0, 2/7}, {0, 2/7, 0, 0, 3/7, 2/7, 5/7, 
    0, 0}, {0, 2/7, 0, 5/7, 0, 5/7, 0, 3/7, 3/7}, 
   {2/7, 0, 2/7, 0, 3/7, 0, 1, 2/7, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 2/3, 0, 0, 1/3}, {1, 0, 1/3, 0, 2/3, 0, 1/3, 1, 0}, 
   {0, 1, 0, 0, 0, 2/3, 0, 0, 1/3}, {0, 1, 0, 0, 2/3, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 2/3, 2/3, 0, 1/3, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1/2}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 1/2, 1, 0, 0, 0, 1/2}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 1, 1, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 2/3}, {0, 1/3, 1/3, 0, 0, 0, 2/3}, 
   {1, 0, 0, 1/3, 0, 0, 0}, {0, 1/3, 0, 1, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 2/3, 0, 0, 0}, {1, 0, 1/3, 0, 0, 2/3, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{1/4, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/4, 0, 0}, {0, 1, 0, 1/2, 3/4, 0, 1/2, 1/4}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1/2}, {0, 1/4, 1/4, 0, 1, 1/2, 1, 0}, 
   {3/4, 0, 0, 1/4, 0, 0, 1/2, 0}, {0, 0, 3/4, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/4, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 0, 1/2, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 1, 1/2, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 2/3, 0, 1, 1}, 
   {1/3, 0, 0, 2/3, 0, 1/3, 0, 0}, {0, 1/3, 2/3, 0, 2/3, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1/3}, {1/3, 0, 0, 2/3, 0, 0, 1, 1/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 1/3, 0, 1/3, 1, 0}, 
   {0, 0, 1/3, 0, 1, 0, 0, 1/3}, {0, 2/3, 1/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 1/3, 0, 0, 2/3, 0, 2/3}, {0, 0, 1/3, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 1/3, 1/3, 1/3, 0}, {0, 0, 0, 0, 1/3, 1, 1, 0}, 
   {0, 0, 1/3, 1, 0, 0, 0, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0}, {1, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 0, 0, 2/3, 0}, {1/3, 0, 0, 1/3, 1/3, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 2/3}, {2/3, 0, 0, 0, 2/3, 0, 2/3, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, {0, 1/3, 0, 1, 1/3, 0, 2/3, 0}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 0, 2/3}, {1/3, 0, 1/3, 2/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 0, 1/2, 0, 1, 1, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1/2, 1}, {0, 1/2, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 1/2, 0, 1, 1, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 0, 0, 2/3}, {0, 1/3, 0, 1/3, 1/3, 0, 1/3, 0}, 
   {1/3, 0, 0, 1, 1/3, 1/3, 0, 1/3}, {1/3, 0, 1/3, 0, 0, 2/3, 1, 0}, 
   {2/3, 0, 2/3, 1/3, 0, 0, 1/3, 2/3}, {0, 0, 0, 1/3, 2/3, 2/3, 1, 0}, 
   {0, 0, 1, 0, 1/3, 1/3, 0, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 2/3, 1/3, 0, 1/3}, {0, 2/3, 0, 1/3, 0, 1/3, 0, 1/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 2/3, 0, 0}, {0, 2/3, 2/3, 0, 1/3, 0, 0, 1/3, 2/3}, 
   {2/3, 0, 0, 0, 1/3, 0, 2/3, 1, 0}, {2/3, 0, 0, 1, 0, 1/3, 1, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1, 1/2, 0}, {1/2, 1/2, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 1/2, 0, 1/2}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/4, 0, 3/4, 0}, {0, 1/4, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 3/4, 1, 0, 0, 0, 3/4}, {0, 1/4, 1/2, 0, 1/2, 3/4, 0, 0}, 
   {1/2, 0, 0, 1/4, 0, 3/4, 0, 3/4}, {1/2, 0, 1/4, 0, 3/4, 0, 0, 3/4}, 
   {1/2, 0, 1/4, 3/4, 0, 3/4, 3/4, 0}, {0, 1/4, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 4/5, 0, 2/5, 0, 0}, 
   {0, 3/5, 2/5, 0, 2/5, 0, 4/5, 1/5}, {0, 1, 0, 2/5, 0, 1/5, 1, 0}, 
   {1/5, 0, 4/5, 0, 4/5, 2/5, 0, 1/5}, {1/5, 0, 3/5, 2/5, 0, 0, 4/5, 2/5}, 
   {0, 1/5, 0, 0, 0, 2/5, 0, 1}, {2/5, 0, 3/5, 0, 3/5, 0, 1/5, 0}, 
   {1, 0, 0, 0, 3/5, 0, 1/5, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1/2}, {0, 1/2, 1, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 2/3, 2/3, 0, 1, 1}, {0, 1/3, 2/3, 0, 0, 1/3, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 1/3, 1/3}, {1/3, 0, 0, 2/3, 2/3, 1/3, 0, 0}, 
   {1, 0, 0, 2/3, 0, 1/3, 0, 2/3}, {0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 1/2, 0, 0, 1, 1/2, 0}, 
   {1, 0, 1, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1/3, 0, 0, 0, 2/3}, {1/3, 0, 1, 0, 1/3, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 2/3, 0}, {0, 1, 1/3, 0, 1/3, 2/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 2/3, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 1, 0, 2/3, 0, 0}, {1, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 0, 1/3, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 1/3, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 1, 0}, {1/3, 0, 1/3, 1/3, 0, 0, 1/3, 2/3}, 
   {1/3, 0, 0, 2/3, 1/3, 1/3, 0, 1/3}, {0, 1/3, 0, 0, 1, 0, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 1, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1/2, 1}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 1, 1/3, 0, 0, 0, 0}, {0, 1/3, 0, 2/3, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 1, 1, 0, 0, 2/3, 0}, {2/3, 1/3, 0, 0, 1/3, 2/3, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 5/7, 0, 5/7}, {1/7, 0, 1/7, 0, 4/7, 0, 0, 1, 0}, 
   {2/7, 0, 0, 4/7, 0, 4/7, 0, 0, 2/7}, {0, 2/7, 2/7, 4/7, 0, 0, 2/7, 6/7, 
    0}, {6/7, 0, 0, 0, 0, 0, 4/7, 0, 2/7}, {1/7, 0, 1, 0, 4/7, 0, 3/7, 0, 
    5/7}, {0, 3/7, 2/7, 0, 0, 4/7, 0, 5/7, 2/7}, {2/7, 1/7, 0, 4/7, 0, 4/7, 
    2/7, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1, 1}, {1, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 1, 0, 1, 1, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1/2, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 1, 1, 0, 1/3, 2/3, 0, 0}, 
   {1, 0, 0, 1/3, 0, 0, 2/3, 0}, {0, 1, 0, 1, 0, 0, 2/3, 0}, 
   {1, 0, 1/3, 0, 1/3, 2/3, 0, 2/3}, {1/3, 0, 1, 2/3, 1/3, 2/3, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 1/2, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 4/5, 0, 0, 1, 3/5, 0, 1/5}, 
   {4/5, 0, 2/5, 3/5, 1/5, 0, 0, 1/5, 0}, {4/5, 0, 0, 3/5, 3/5, 0, 0, 1/5, 
    0}, {0, 2/5, 0, 2/5, 0, 3/5, 0, 1/5, 0}, {0, 0, 0, 0, 0, 1, 2/5, 3/5, 0}, 
   {0, 4/5, 0, 3/5, 1/5, 0, 3/5, 0, 1/5}, {0, 0, 2/5, 0, 2/5, 0, 0, 2/5, 
    4/5}, {4/5, 2/5, 0, 0, 0, 4/5, 2/5, 0, 2/5}, {0, 0, 4/5, 4/5, 4/5, 0, 0, 
    0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 1, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, {1/2, 1, 0, 0, 1/2, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0}}, {{3, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 3/4, 0, 0, 1/4, 0, 0}, 
   {1/4, 0, 1/4, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 3/4, 0, 1/2, 3/4, 0, 0, 1/4}, 
   {3/4, 0, 0, 1/4, 0, 1/4, 1/2, 1/2, 0}, {0, 0, 3/4, 0, 1/2, 0, 0, 0, 1}, 
   {3/4, 1, 0, 0, 1/4, 0, 0, 1/4, 3/4}, {0, 1/4, 3/4, 0, 1/4, 0, 3/4, 1, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 2/3, 0, 1, 0, 1/3}, {0, 1, 0, 0, 0, 2/3, 0, 1/3, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 1/3, 2/3, 2/3, 0, 0, 1/3, 0, 1/3}, 
   {0, 1/3, 0, 2/3, 2/3, 0, 1/3, 0, 1/3}, {1, 0, 1, 0, 0, 2/3, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/5, 0, 0, 0, 2/5, 4/5, 1/5, 0, 0}, 
   {0, 1/5, 3/5, 2/5, 0, 0, 0, 3/5, 1}, {0, 2/5, 4/5, 0, 2/5, 0, 0, 0, 0}, 
   {0, 0, 0, 2/5, 0, 0, 2/5, 0, 2/5}, {0, 0, 0, 4/5, 2/5, 0, 0, 0, 0}, 
   {3/5, 2/5, 0, 0, 0, 2/5, 0, 3/5, 1/5}, {1/5, 0, 0, 3/5, 3/5, 1/5, 3/5, 0, 
    0}, {0, 1/5, 1/5, 4/5, 0, 0, 1, 2/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {1/3, 0, 0, 1, 1/3, 0, 0, 2/3}, {0, 1, 1/3, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 1/3, 1/3, 0, 2/3, 2/3}, {1, 0, 1, 0, 0, 2/3, 0, 0}, 
   {1, 0, 1/3, 0, 2/3, 0, 2/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1, 1/3, 0, 0, 1/3, 0}, {0, 0, 0, 0, 1/3, 1, 0, 1/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 0, 0, 1/3, 0, 1, 2/3}, 
   {0, 2/3, 2/3, 0, 1/3, 0, 1, 0}, {2/3, 0, 1, 1/3, 0, 1/3, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/3, 1/3, 0, 0, 2/3, 2/3, 0}, 
   {1/3, 0, 0, 1/3, 1/3, 0, 2/3, 0}, {1/3, 0, 1/3, 0, 0, 0, 0, 2/3}, 
   {1, 0, 1, 2/3, 0, 0, 0, 0}, {0, 1/3, 0, 1/3, 1/3, 0, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 1, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 0, 1, 0, 0, 0, 1}, 
   {1/2, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 1/3, 0, 0, 0, 2/3, 2/3}, {1/3, 1, 0, 0, 1, 1/3, 0, 2/3, 0}, 
   {2/3, 0, 1, 1/3, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 1/3, 0, 1/3, 1/3, 0, 2/3, 2/3}, {1/3, 1, 0, 1, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 1/3, 0, 1/3, 1/3, 2/3, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 3/5, 2/5, 0, 2/5, 0, 4/5, 1/5}, {3/5, 0, 0, 0, 1/5, 3/5, 2/5, 3/5, 
    0}, {0, 3/5, 0, 3/5, 4/5, 0, 2/5, 0, 3/5}, {1/5, 3/5, 0, 0, 0, 3/5, 0, 0, 
    2/5}, {0, 2/5, 2/5, 0, 3/5, 0, 1/5, 1/5, 0}, {1/5, 0, 0, 0, 0, 0, 3/5, 0, 
    2/5}, {2/5, 0, 3/5, 0, 2/5, 0, 0, 2/5, 3/5}, {0, 1/5, 1/5, 1/5, 0, 4/5, 
    4/5, 0, 1/5}, {2/5, 0, 0, 3/5, 2/5, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 1/3, 0, 0, 2/3, 0}, {1/3, 0, 1/3, 0, 1/3, 0, 0, 0}, 
   {0, 1, 0, 0, 1/3, 0, 1/3, 1}, {1, 0, 0, 2/3, 1/3, 1/3, 0, 0}, 
   {0, 1/3, 1/3, 1/3, 0, 1/3, 0, 2/3}, {0, 2/3, 0, 1/3, 1/3, 1, 0, 0}, 
   {2/3, 0, 1/3, 0, 0, 0, 1/3, 1/3}, {0, 0, 1/3, 0, 0, 2/3, 1/3, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/3, 0, 0, 1/3, 1/3, 1/3, 0, 1}, {0, 0, 1, 0, 2/3, 0, 1/3, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 2/3, 0}, {0, 0, 0, 1, 1/3, 0, 1/3, 0}, 
   {2/3, 0, 1/3, 0, 0, 1/3, 0, 1}, {0, 0, 1/3, 2/3, 0, 1/3, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 1, 0, 1, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1}, {1/2, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 0}, {1, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 1, 0, 1/2, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 1, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 1/3, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 1/3, 0, 1, 1/3, 0}, {0, 2/3, 0, 1/3, 0, 0, 2/3, 1}, 
   {2/3, 0, 1/3, 0, 1, 1, 1/3, 0}, {0, 0, 0, 1/3, 2/3, 2/3, 0, 1/3}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 2/3, 0, 1/3, 1/3, 1/3, 1/3, 0}, {0, 0, 1/3, 2/3, 0, 2/3, 0, 1/3}, 
   {0, 0, 1/3, 0, 0, 2/3, 0, 1}, {0, 2/3, 0, 1, 1, 0, 0, 1/3}, 
   {0, 0, 0, 1/3, 1/3, 0, 2/3, 1/3}, {2/3, 0, 1/3, 0, 2/3, 1/3, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 1/2, 1/2, 0, 1}, 
   {0, 1/2, 1, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1, 1, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/4, 1/4, 1, 0, 1/4, 0, 1/4, 1/4}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/4, 0, 1, 1/4, 1/4, 0, 1/4, 1, 0}, {0, 0, 1/2, 0, 1, 1/4, 0, 1/2, 3/4}, 
   {3/4, 0, 1/2, 1/2, 0, 0, 1/4, 0, 1}, {1/4, 1, 0, 1/2, 0, 0, 3/4, 1/2, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 1/2, 0}, {0, 1, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1/2, 1, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/4, 1/4, 0, 0, 0}, {1/4, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 1/2}, {1, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {1/4, 0, 1/4, 0, 1, 1, 1/2, 0}, {1/4, 0, 1/4, 1, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 1/2}, {1, 0, 0, 0, 1/2, 0, 1/2, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{3/5, 0, 3/5, 0, 0, 0, 0, 0, 3/5}, 
   {0, 3/5, 0, 3/5, 0, 0, 0, 0, 0}, {1/5, 1/5, 0, 0, 4/5, 1, 0, 1/5, 0}, 
   {0, 0, 1, 1/5, 2/5, 0, 3/5, 1/5, 0}, {0, 3/5, 2/5, 2/5, 0, 1/5, 2/5, 0, 
    2/5}, {3/5, 0, 1/5, 4/5, 0, 2/5, 0, 2/5, 0}, {1, 2/5, 0, 2/5, 1/5, 0, 0, 
    2/5, 0}, {0, 3/5, 1/5, 0, 1, 4/5, 1/5, 0, 1/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 1}, {1/2, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1/3, 0, 1/3, 0, 1, 1/3}, {0, 0, 2/3, 0, 1/3, 0, 1/3, 0, 0}, 
   {0, 1/3, 0, 2/3, 1/3, 0, 1/3, 1, 0}, {1/3, 0, 1/3, 0, 1/3, 0, 0, 2/3, 
    1/3}, {2/3, 1/3, 0, 1/3, 0, 1/3, 2/3, 0, 1/3}, 
   {0, 1/3, 0, 0, 0, 2/3, 1/3, 0, 1/3}, {1/3, 0, 1/3, 2/3, 0, 2/3, 0, 1/3, 
    0}, {0, 1/3, 0, 0, 0, 0, 1/3, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 1, 1, 1/2, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 2/3, 1/3, 0, 0}, {1/3, 0, 0, 2/3, 0, 0, 1/3, 1/3}, 
   {0, 1, 0, 0, 0, 0, 1/3, 1}, {1/3, 0, 2/3, 0, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 2/3, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 2/3, 2/3, 0, 2/3, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 1/3, 0, 0, 0, 1, 1/3, 0}, 
   {1/3, 0, 0, 0, 2/3, 0, 0, 1/3}, {1/3, 0, 0, 0, 0, 2/3, 0, 1/3}, 
   {1/3, 0, 0, 0, 0, 1, 1/3, 2/3}, {1, 0, 2/3, 0, 2/3, 1/3, 1/3, 0}, 
   {0, 1/3, 2/3, 2/3, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/3, 0, 1/3, 0, 0}, {2/3, 0, 0, 0, 0, 1/3, 0, 1, 1}, 
   {0, 2/3, 2/3, 0, 0, 1/3, 1/3, 2/3, 0}, {2/3, 0, 2/3, 1, 1/3, 0, 0, 1/3, 
    1}, {0, 0, 0, 0, 2/3, 1, 1, 0, 0}, {2/3, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 1/3}, 
   {2/3, 0, 0, 0, 1, 1/3, 0, 0}, {0, 0, 0, 0, 1/3, 0, 1, 2/3}, 
   {0, 0, 1, 1/3, 0, 1/3, 0, 1/3}, {0, 2/3, 0, 0, 1/3, 0, 1/3, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 1/3}, {1/3, 1/3, 0, 0, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 1/3, 1, 0, 1/3}, {1/3, 1/3, 0, 0, 0, 2/3, 2/3, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 1, 0, 0, 1/3, 0}, {0, 0, 0, 1/3, 0, 1, 0, 0, 2/3}, 
   {0, 0, 0, 1/3, 0, 0, 1, 0, 2/3}, {0, 2/3, 0, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {0, 0, 1/3, 2/3, 0, 1/3, 0, 1, 0}, {0, 0, 0, 2/3, 1/3, 0, 0, 2/3, 1/3}, 
   {2/3, 2/3, 0, 0, 1/3, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 1/3, 0, 0, 0, 1, 1/3}, {0, 2/3, 0, 0, 1/3, 1, 1, 0, 0}, 
   {0, 2/3, 0, 0, 1, 1, 0, 1, 1}, {2/3, 0, 0, 1, 2/3, 0, 1/3, 0, 0}, 
   {2/3, 0, 2/3, 1/3, 0, 0, 1/3, 0, 0}, {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}}, {{2, 2, 2}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 2/3, 0, 0, 1, 1/3, 0}, 
   {1/3, 1, 0, 0, 0, 0, 0, 0, 1/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 1/3, 2/3, 2/3, 0, 0, 0, 1/3}, {2/3, 0, 1/3, 0, 0, 0, 0, 2/3, 1}, 
   {1/3, 1/3, 0, 0, 2/3, 0, 1/3, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 0, 0, 1/3, 1/3}, 
   {0, 1/3, 0, 0, 2/3, 1/3, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0}, {1/3, 2/3, 2/3, 0, 0, 1/3, 0, 0}, 
   {1/3, 0, 2/3, 0, 2/3, 1, 0, 2/3}, {0, 1, 0, 0, 0, 0, 1, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, 
   {0, 2/3, 1, 0, 0, 0, 1/3, 0, 1/3}, {1/3, 1/3, 0, 0, 0, 2/3, 0, 1, 0}, 
   {0, 0, 1, 2/3, 0, 0, 1/3, 0, 1/3}, {0, 0, 1/3, 2/3, 2/3, 0, 0, 1/3, 0}, 
   {0, 0, 1/3, 2/3, 0, 0, 0, 1/3, 2/3}, {1, 1/3, 0, 0, 0, 0, 1/3, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 2/3, 1, 2/3, 0, 0}, {2/3, 1/3, 0, 0, 0, 1/3, 2/3, 2/3, 0}, 
   {1/3, 0, 1/3, 1, 1/3, 0, 0, 2/3, 2/3}, {1/3, 0, 1/3, 0, 1/3, 1/3, 0, 0, 
    0}, {0, 1/3, 0, 1/3, 2/3, 0, 0, 0, 0}, {0, 1/3, 0, 1/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 1/3, 2/3, 0, 2/3, 2/3}, {1/3, 1/3, 1/3, 1/3, 0, 1/3, 0, 0, 
    0}, {0, 0, 2/3, 2/3, 1/3, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 2/3, 0, 1/3, 2/3, 0}, {2/3, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 0, 1/3, 1, 0}, {2/3, 0, 0, 1, 0, 1/3, 0}, 
   {0, 0, 1/3, 0, 1/3, 0, 1}, {0, 0, 0, 1/3, 0, 1/3, 2/3}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 3/4, 0, 0, 1/2, 0, 3/4, 1/4, 0}, 
   {0, 0, 0, 0, 1/2, 3/4, 0, 1/4, 0}, {0, 0, 0, 1/4, 0, 1/4, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 1/4, 0, 1/4, 0, 0, 0}, {1/4, 0, 0, 3/4, 1/2, 0, 0, 0, 0}, 
   {1/4, 0, 3/4, 0, 1/2, 0, 0, 0, 0}, {0, 1/4, 1/4, 3/4, 1/2, 0, 0, 1/2, 
    3/4}, {1/2, 3/4, 0, 0, 1/2, 3/4, 1/4, 0, 1/4}, 
   {1/2, 0, 3/4, 1, 0, 1/4, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}, {1, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1/3, 1/3, 0, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 0, 1, 1, 1/3, 0}, {0, 0, 2/3, 0, 0, 1/3, 0, 2/3, 1/3}, 
   {0, 0, 2/3, 1/3, 1/3, 0, 1/3, 1/3, 0}, {0, 0, 0, 2/3, 0, 1, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, {2/3, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 2/3, 2/3, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 1, 0, 1/3, 0}, 
   {0, 0, 1/3, 1/3, 0, 1/3, 0, 1}, {0, 0, 1/3, 1/3, 2/3, 1/3, 0, 1/3}, 
   {0, 2/3, 1/3, 1/3, 0, 0, 1/3, 0}, {0, 0, 1/3, 1, 0, 0, 1/3, 0}, 
   {2/3, 0, 0, 0, 1/3, 1/3, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {1, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 1/2, 1, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 0, 0, 1/3, 1}, 
   {0, 1/3, 0, 0, 2/3, 1/3, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/3, 1/3}, {1/3, 0, 0, 2/3, 0, 1, 2/3, 0}, 
   {0, 1/3, 1/3, 1/3, 1/3, 1/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0}, {1/3, 0, 0, 0, 0, 1/3, 1}, 
   {0, 1, 2/3, 0, 1/3, 0, 0}, {1/3, 0, 0, 0, 1, 2/3, 0}, 
   {0, 1, 0, 0, 0, 1/3, 1/3}, {1/3, 0, 2/3, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1}, {1, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 1, 0, 1, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1/2, 1}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 0, 1/2, 0, 1, 1, 0, 0}, {0, 1, 1, 1/2, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 1, 0, 0, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 1/3, 0, 2/3, 1/3, 2/3, 0, 0}, {0, 1/3, 0, 0, 1/3, 2/3, 0, 2/3}, 
   {1/3, 0, 1/3, 1, 0, 0, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, {0, 1/2, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 1, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1/2, 1, 0, 1, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1/2, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 1, 0, 1/3, 1}, 
   {0, 2/3, 0, 1/3, 0, 1/3, 0, 0}, {0, 0, 1/3, 1, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 1/3, 1, 1/3, 0}, {2/3, 0, 0, 1/3, 1/3, 1/3, 0, 1/3}, 
   {0, 0, 1/3, 0, 2/3, 0, 1/3, 2/3}, {2/3, 0, 1/3, 0, 0, 0, 1/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 2/3, 0, 1, 0}, {1, 0, 0, 0, 0, 1/3, 0, 1/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 2/3, 0, 2/3, 0, 2/3, 0}, {1/3, 0, 0, 2/3, 0, 0, 1/3, 2/3}, 
   {1/3, 0, 2/3, 2/3, 0, 0, 1/3, 0}, {0, 1/3, 0, 0, 0, 1/3, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 2/3, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, {2/3, 2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 1/3, 2/3, 0, 0, 0, 1/3, 1/3, 0}, {1/3, 0, 1, 0, 0, 0, 0, 0, 1/3}, 
   {0, 1/3, 0, 0, 0, 2/3, 1/3, 1, 0}, {0, 1/3, 0, 2/3, 0, 0, 0, 2/3, 1/3}, 
   {1/3, 0, 1/3, 2/3, 0, 0, 1/3, 1/3, 0}, {2/3, 1, 0, 0, 0, 0, 0, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1/3, 1/3, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 0, 1/3, 1/3, 0, 1, 1/3}, {2/3, 0, 1/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 1, 0, 2/3, 1/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/4, 0, 1/2, 1, 0, 1/4, 1, 0}, {1/2, 0, 1/2, 1, 0, 1/2, 0, 0, 1/2}, 
   {3/4, 1, 0, 0, 1/2, 1, 0, 0, 1/2}, {1/4, 0, 1, 0, 1, 1/2, 0, 0, 1/4}, 
   {0, 1/2, 0, 1/2, 0, 1, 1/2, 1/2, 0}, {0, 1/2, 0, 1/4, 1/2, 0, 3/4, 0, 1}, 
   {0, 0, 3/4, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 3/4, 0}, 
   {0, 0, 0, 3/4, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1, 0, 1/3, 1/3, 0, 0, 2/3}, 
   {0, 1/3, 0, 1, 0, 0, 0, 0, 0}, {1/3, 2/3, 1, 1/3, 0, 0, 0, 0, 0}, 
   {1/3, 0, 1, 1, 2/3, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1/2}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 1, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1/3, 0, 0, 1/3, 1/3}, {2/3, 0, 1/3, 0, 1/3, 1, 0, 2/3}, 
   {2/3, 0, 0, 1/3, 0, 1/3, 0, 0}, {0, 0, 1/3, 0, 1/3, 0, 1/3, 1/3}, 
   {0, 0, 2/3, 1/3, 0, 1/3, 0, 2/3}, {0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1}, {1, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 0, 0, 2/5, 1, 0, 1/5, 2/5}, {0, 2/5, 0, 1/5, 0, 3/5, 2/5, 0, 
    1/5}, {1/5, 0, 1/5, 1/5, 0, 0, 4/5, 2/5, 0}, 
   {2/5, 0, 2/5, 0, 0, 3/5, 1/5, 0, 4/5}, {3/5, 4/5, 0, 0, 0, 0, 3/5, 2/5, 
    0}, {0, 1/5, 0, 3/5, 3/5, 0, 0, 2/5, 0}, {0, 0, 0, 2/5, 3/5, 0, 0, 0, 
    4/5}, {0, 0, 0, 2/5, 0, 0, 0, 3/5, 4/5}, {0, 0, 3/5, 0, 1/5, 4/5, 2/5, 
    2/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/3, 0, 2/3, 1/3, 0, 2/3, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1/3, 0, 1/3, 2/3, 0, 1, 0, 0, 2/3}, 
   {0, 1, 2/3, 0, 2/3, 1/3, 0, 0, 0}, {0, 1/3, 0, 2/3, 0, 1/3, 2/3, 2/3, 0}, 
   {1/3, 0, 1, 1/3, 1/3, 0, 2/3, 0, 2/3}, {0, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 1/3, 0, 2/3, 0}, {1/3, 0, 1, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 1, 0, 0, 2/3}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/3, 1, 1, 0, 2/3, 2/3, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 1, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 0}, {0, 1, 0, 0, 1/3, 0, 1/3}, 
   {1/3, 0, 0, 0, 2/3, 1, 0}, {1/3, 0, 0, 0, 1/3, 0, 1}, 
   {1/3, 2/3, 0, 0, 1/3, 0, 1/3}, {0, 1/3, 2/3, 0, 0, 1/3, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, {1/2, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 
    0}, {1/2, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 
    0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 
    1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 0, 2/5, 0, 0, 0, 1/5, 0}, {0, 0, 0, 0, 1/5, 1/5, 2/5, 0, 1}, 
   {0, 0, 2/5, 0, 3/5, 0, 0, 4/5, 3/5}, {3/5, 0, 1, 0, 0, 0, 0, 4/5, 0}, 
   {1/5, 4/5, 0, 3/5, 3/5, 0, 2/5, 0, 2/5}, {2/5, 2/5, 0, 1/5, 0, 3/5, 0, 
    1/5, 0}, {0, 0, 1/5, 0, 2/5, 2/5, 3/5, 1/5, 0}, 
   {3/5, 0, 4/5, 1/5, 0, 0, 2/5, 0, 2/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 0, 1/3, 0, 2/3, 0}, {1, 0, 0, 1/3, 1, 0, 0, 0, 0}, 
   {0, 1/3, 1, 1, 1, 0, 0, 0, 2/3}, {1/3, 0, 0, 0, 0, 1, 2/3, 0, 0}, 
   {1/3, 0, 2/3, 0, 0, 1/3, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3, 2/3}, {0, 2/3, 0, 2/3, 2/3, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 2/3, 0, 1/3, 0, 1/3}, {1/3, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 2/3, 2/3, 0, 1/3, 0}, {0, 1/3, 0, 2/3, 0, 2/3, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 1, 0, 1/3}, {0, 2/3, 2/3, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 2/3, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 2/3, 0, 0, 1/3, 0, 0}, 
   {1, 0, 1/3, 0, 0, 0, 0, 1, 1/3}, {0, 1/3, 2/3, 0, 0, 0, 0, 1, 1/3}, 
   {1/3, 0, 1/3, 0, 2/3, 2/3, 1/3, 0, 0}, {1/3, 0, 1/3, 0, 0, 2/3, 1/3, 2/3, 
    0}, {2/3, 0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 
    0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 1/3, 1/3, 2/3, 2/3, 0, 0, 0, 1/3}, 
   {1, 0, 0, 0, 0, 2/3, 1/3, 1, 0}, {0, 1/3, 1/3, 0, 0, 0, 0, 2/3, 1}, 
   {0, 1, 1/3, 0, 0, 0, 1/3, 1, 0}, {1/3, 0, 0, 2/3, 0, 2/3, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 0, 2/3, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 1/3, 0, 0, 2/3, 0, 1/3, 1}, 
   {1/3, 0, 0, 2/3, 0, 1, 0, 0}, {0, 1, 0, 0, 2/3, 1, 0, 0}, 
   {1/3, 0, 0, 2/3, 0, 0, 1, 1}, {0, 1/3, 2/3, 0, 2/3, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 2/3, 1/3, 0, 0, 1, 1/3, 0}, {0, 0, 0, 1, 1/3, 2/3, 0, 1/3}, 
   {0, 0, 0, 1, 1, 0, 0, 1/3}, {2/3, 0, 1/3, 0, 2/3, 0, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 1/3, 1/3, 1/3, 0}, {0, 0, 1, 0, 0, 0, 2/3, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{3/4, 0, 3/4, 0, 1/2, 0, 0, 0, 1/4}, 
   {0, 0, 0, 1/4, 0, 1, 1/2, 1/2, 0}, {3/4, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1, 3/4, 0, 1/2, 1/4, 0, 0, 1/2}, {1/2, 0, 1/2, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/4, 0, 1/2, 1, 0, 1, 1/4, 0}, {0, 1/2, 3/4, 1/4, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/4, 0, 0, 0, 3/4, 0}, {1/4, 0, 1/4, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 1}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 1, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 1/3, 0, 1/3, 1/3}, 
   {0, 2/3, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 0, 0, 0, 0, 1}, {0, 1/3, 0, 1, 1/3, 0, 1/3}, 
   {1, 0, 1/3, 0, 1/3, 0, 1/3}, {0, 1/3, 1/3, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 0, 1, 1/3, 0}, {1/3, 0, 2/3, 0, 0, 0, 0, 1/3}, 
   {0, 1/3, 0, 2/3, 0, 0, 2/3, 1}, {1/3, 0, 0, 0, 2/3, 1/3, 1/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, {0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {1, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1/3}, {1/3, 0, 1/3, 0, 0, 2/3, 0, 1/3, 0}, 
   {2/3, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 2/3, 0, 2/3, 0, 0, 0, 0, 2/3}, {1/3, 0, 1, 2/3, 0, 0, 1/3, 0, 1/3}, 
   {2/3, 1, 0, 0, 2/3, 0, 0, 1, 0}, {0, 1/3, 2/3, 2/3, 0, 2/3, 0, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, {0, 1/2, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 1/2, 0, 1/2}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 2/3, 0, 0, 0, 1, 1/3}, {1/3, 0, 0, 2/3, 0, 1, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 2/3, 2/3}, {2/3, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, {0, 1, 0, 0, 0, 1/3, 0, 2/3}, 
   {1/3, 0, 0, 0, 2/3, 0, 1, 1/3}, {0, 1/3, 0, 2/3, 0, 1/3, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {0, 1/3, 1/3, 1, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 2/3, 2/3, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, 
   {1/3, 0, 1, 1, 0, 0, 0, 2/3}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1, 2/3, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 1/3, 0, 1, 0, 2/3}, 
   {0, 0, 1, 0, 1/3, 0, 1/3, 1}, {0, 0, 2/3, 1, 0, 1/3, 2/3, 0}, 
   {0, 0, 0, 1, 0, 0, 1/3, 1}, {2/3, 0, 1/3, 0, 1/3, 1, 0, 0}, 
   {0, 0, 0, 1, 2/3, 0, 1/3, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/4, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 3/4, 0, 0, 0, 0, 3/4}, 
   {0, 1/4, 1, 0, 1/4, 3/4, 0, 1/4, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 
    1/4}, {1/2, 0, 0, 0, 1/4, 0, 1, 1/2, 0}, {1/4, 0, 3/4, 1/4, 0, 1/4, 1/2, 
    1, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 1/2, 1/2, 3/4, 1/2, 0, 1/4, 
    0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1/2, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 1/3, 0, 1, 0, 0, 2/3, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 2/3, 2/3}, {1/3, 0, 0, 1/3, 2/3, 0, 2/3, 0}, 
   {0, 1, 1/3, 0, 1, 2/3, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/5, 0, 0, 2/5, 0}, 
   {0, 0, 2/5, 0, 2/5, 2/5, 0, 2/5}, {3/5, 0, 0, 0, 1, 0, 0, 0}, 
   {3/5, 0, 0, 0, 1/5, 0, 0, 4/5}, {0, 1, 3/5, 3/5, 0, 4/5, 0, 0}, 
   {1, 0, 1, 3/5, 0, 4/5, 2/5, 0}, {0, 3/5, 0, 2/5, 3/5, 2/5, 0, 2/5}, 
   {0, 3/5, 2/5, 0, 1/5, 0, 2/5, 4/5}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1, 1/2, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1, 1, 0}, {0, 1/2, 0, 0, 0, 1, 1, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 0, 1, 0, 1/4, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/4, 1/2, 0}, {3/4, 1/4, 0, 0, 1/2, 0, 0, 1/4, 
    1/2}, {0, 1/2, 3/4, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 1/4, 1, 
    0}, {1, 0, 1, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 3/4, 0, 0, 0, 3/4, 1/4, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/4, 3/4, 0}, {3/4, 0, 0, 0, 3/4, 0, 1/4, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 0, 0, 3/5, 0, 0, 0, 0}, {3/5, 0, 0, 0, 0, 0, 0, 3/5, 0}, 
   {0, 2/5, 3/5, 1/5, 0, 1, 2/5, 2/5, 0}, {0, 1, 0, 0, 2/5, 4/5, 0, 0, 1/5}, 
   {4/5, 0, 4/5, 2/5, 1/5, 0, 3/5, 0, 1/5}, {0, 4/5, 0, 4/5, 2/5, 0, 1/5, 
    1/5, 0}, {0, 1/5, 0, 1, 0, 1/5, 3/5, 0, 2/5}, 
   {1, 0, 1, 0, 1/5, 2/5, 0, 0, 2/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 0, 1, 1/3, 0}, {0, 1, 2/3, 0, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 0, 1/3}, {1, 0, 0, 0, 0, 0, 2/3, 1}, 
   {0, 1/3, 0, 0, 2/3, 1, 1/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 1, 0, 0}, {0, 1/3, 1, 2/3, 1/3, 0, 2/3, 0, 0}, 
   {0, 0, 1/3, 0, 1, 2/3, 0, 1, 0}, {1, 2/3, 0, 1/3, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/3, 0, 1/3, 0, 2/3, 2/3}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1/3, 0, 2/3, 0, 1/3, 2/3, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 2/3, 0, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 0, 0, 1/3, 1/3, 0, 2/3, 1/3}, {1/3, 1, 1/3, 1/3, 0, 0, 0, 0, 
    1/3}, {0, 0, 2/3, 1/3, 0, 2/3, 1, 1/3, 0}, {2/3, 0, 0, 1/3, 0, 0, 0, 2/3, 
    1/3}, {2/3, 2/3, 0, 1/3, 0, 0, 0, 0, 1/3}, {0, 0, 0, 0, 1, 1/3, 1, 1/3, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 2/3, 0, 0, 0, 0, 1/3}, {1/3, 0, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {0, 1, 0, 0, 2/3, 1/3, 1/3, 0}, {1/3, 0, 2/3, 0, 0, 0, 2/3, 1}, 
   {1/3, 0, 2/3, 0, 2/3, 0, 0, 1/3}, {2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/4, 1/2, 1/2, 0, 1/4, 1/4, 0}, {0, 0, 0, 0, 1/4, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/4, 1, 3/4, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 3/4, 0, 1/4, 0, 1}, {0, 1/4, 1/2, 1/4, 0, 1/2, 3/4, 0}, 
   {1/2, 0, 0, 1/2, 1/4, 1/2, 0, 0}, {0, 1, 1/4, 0, 1/2, 0, 1/4, 1/4}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1, 1/3, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1/3}, {0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 1, 1/3, 0, 1, 0, 1/3}, 
   {0, 2/3, 0, 0, 1, 0, 1, 0}, {0, 0, 2/3, 0, 1, 0, 1/3, 2/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 6/7, 0, 0, 1, 1, 0, 0}, {4/7, 0, 3/7, 3/7, 0, 0, 3/7, 3/7}, 
   {6/7, 0, 0, 4/7, 4/7, 0, 0, 1/7}, {1/7, 0, 1/7, 0, 0, 4/7, 4/7, 0}, 
   {0, 4/7, 6/7, 0, 0, 0, 0, 1/7}, {5/7, 0, 0, 1/7, 4/7, 4/7, 1/7, 0}, 
   {0, 0, 1/7, 1, 0, 3/7, 0, 4/7}, {0, 0, 4/7, 0, 3/7, 0, 1, 6/7}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 1/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 2/3, 1/3, 2/3, 0, 0}, {0, 1/3, 1, 1/3, 0, 0, 0, 2/3}, 
   {1/3, 0, 0, 0, 1/3, 0, 2/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 2/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 1, 0, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {1, 0, 1/3, 0, 0, 0, 0, 0}, {0, 1/3, 0, 1, 1/3, 0, 0, 2/3}, 
   {1, 0, 0, 1/3, 1/3, 0, 2/3, 2/3}, {1/3, 0, 2/3, 1, 1/3, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 2/3, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 4/5, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 4/5, 0, 0, 0}, 
   {1, 0, 0, 4/5, 0, 0, 1/5, 0}, {3/5, 0, 2/5, 2/5, 0, 0, 1/5, 2/5}, 
   {0, 1/5, 0, 0, 4/5, 1, 0, 1}, {0, 1, 0, 0, 2/5, 0, 1, 0}, 
   {0, 1/5, 4/5, 0, 0, 2/5, 1, 0}, {1/5, 0, 4/5, 4/5, 0, 1/5, 0, 1/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 0, 0, 3/5, 0, 3/5, 0}, {0, 0, 3/5, 0, 0, 0, 0, 3/5}, 
   {0, 0, 0, 1, 1/5, 2/5, 0, 1/5}, {3/5, 0, 1/5, 0, 2/5, 4/5, 1, 0}, 
   {0, 0, 2/5, 4/5, 0, 0, 1/5, 2/5}, {0, 0, 2/5, 0, 4/5, 1/5, 0, 2/5}, 
   {3/5, 0, 0, 1/5, 1, 0, 2/5, 1/5}, {0, 0, 4/5, 2/5, 0, 1, 4/5, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1, 1/2}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 1, 0, 1/3, 0, 2/3}, 
   {2/3, 0, 0, 1, 2/3, 1/3, 0, 0}, {0, 0, 1/3, 0, 1/3, 0, 1, 1}, 
   {0, 0, 1/3, 0, 1/3, 1/3, 2/3, 0}, {0, 0, 1/3, 0, 1, 1/3, 0, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 1, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 
    0}, {1, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {1/3, 1/3, 0, 0, 0, 2/3, 0, 0, 1}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 1, 0, 2/3, 0, 0, 0, 1/3}, {1/3, 1/3, 0, 2/3, 0, 2/3, 1/3, 1, 0}, 
   {0, 0, 1/3, 2/3, 2/3, 0, 0, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/5, 0, 0, 4/5, 0}, 
   {0, 0, 0, 4/5, 0, 4/5, 2/5, 0, 2/5}, {0, 2/5, 0, 1, 0, 1, 0, 1, 1/5}, 
   {1/5, 0, 1/5, 0, 4/5, 0, 4/5, 0, 1}, {3/5, 2/5, 0, 3/5, 1/5, 0, 1, 1/5, 
    0}, {0, 1/5, 0, 0, 3/5, 0, 0, 0, 1}, {0, 1/5, 3/5, 0, 0, 0, 3/5, 0, 2/5}, 
   {2/5, 0, 2/5, 0, 0, 3/5, 1/5, 1/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1/2}, {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 1/2, 1, 0, 1}, {0, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1}, {0, 1, 1/2, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 1, 0, 1, 1, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {1, 1/2, 0, 1/2, 0, 1/2, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 3/5, 1, 0, 3/5, 0, 0, 4/5}, {3/5, 1/5, 0, 0, 3/5, 0, 0, 2/5, 0}, 
   {0, 2/5, 1, 0, 1, 0, 0, 0, 0}, {3/5, 1/5, 0, 1, 0, 1, 0, 4/5, 0}, 
   {0, 0, 3/5, 0, 1, 0, 2/5, 0, 2/5}, {0, 0, 2/5, 2/5, 0, 2/5, 4/5, 0, 0}, 
   {0, 2/5, 0, 0, 0, 2/5, 2/5, 0, 2/5}, {2/5, 2/5, 0, 0, 2/5, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1, 0, 0, 1, 0, 1}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1/2, 1, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1/2, 1, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 1, 1, 0, 0, 0, 0}, {1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1, 0, 1/2, 1/2}, {1/2, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 2/3, 0, 1/3, 1/3, 0, 1, 1/3}, 
   {0, 0, 1, 0, 2/3, 1/3, 0, 0}, {0, 0, 1/3, 0, 0, 1/3, 2/3, 0}, 
   {2/3, 0, 0, 1/3, 1/3, 1/3, 0, 0}, {0, 0, 0, 1, 1/3, 1, 0, 2/3}, 
   {2/3, 0, 1/3, 0, 0, 0, 1/3, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1, 1/2, 1/2, 0}, {3/4, 1/2, 0, 1/2, 1, 0, 0, 0, 1/4}, 
   {1/4, 0, 1/4, 1, 0, 1/2, 0, 3/4, 1/4}, {0, 0, 0, 0, 3/4, 1/4, 0, 0, 1/2}, 
   {0, 3/4, 0, 0, 0, 1/4, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 1/4, 1/4, 0}, 
   {1/2, 0, 1/2, 0, 1/4, 1/4, 0, 0, 0}, {0, 1/4, 3/4, 1/2, 0, 0, 3/4, 0, 0}, 
   {0, 1/4, 0, 1/2, 0, 3/4, 3/4, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 1/3, 0, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 2/3, 0, 0, 1/3, 2/3}, {0, 0, 1, 0, 1/3, 0, 0, 2/3, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 2/3, 0, 1, 1/3, 1, 0}, 
   {0, 0, 1/3, 0, 1, 0, 1, 1/3, 0}, {2/3, 1, 0, 0, 0, 1/3, 0, 2/3, 1/3}, 
   {0, 0, 2/3, 0, 0, 1/3, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1/3, 2/3, 0, 0, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 0, 0, 0, 1/3}, {0, 2/3, 0, 0, 1/3, 1/3, 1/3, 1/3, 0}, 
   {0, 2/3, 2/3, 0, 1, 0, 1/3, 0, 1}, {2/3, 0, 0, 1/3, 0, 1/3, 2/3, 1/3, 0}, 
   {2/3, 0, 0, 1/3, 0, 1, 0, 1/3, 0}, {0, 0, 2/3, 0, 0, 1/3, 1/3, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 1, 1/3, 0, 0}, {2/3, 0, 0, 1/3, 1, 0, 0, 1/3, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 2/3, 0, 0, 1/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 1, 1, 0, 1/3, 0, 0, 2/3}, {1/3, 0, 0, 0, 1, 2/3, 2/3, 0, 0}, 
   {2/3, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3, 2/3}, {1/3, 0, 0, 1/3, 0, 1/3, 0, 2/3, 2/3}, 
   {1/3, 0, 2/3, 1/3, 0, 1/3, 0, 2/3, 0}, {0, 1/3, 1/3, 0, 1, 2/3, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 4/5, 4/5, 0, 1, 2/5, 0}, 
   {0, 0, 3/5, 0, 0, 2/5, 0, 0, 1/5}, {0, 0, 0, 0, 1/5, 4/5, 1, 2/5, 0}, 
   {3/5, 0, 0, 2/5, 0, 0, 3/5, 0, 1/5}, {3/5, 3/5, 0, 2/5, 0, 0, 0, 0, 1/5}, 
   {0, 0, 0, 0, 2/5, 0, 0, 3/5, 4/5}, {0, 3/5, 3/5, 3/5, 2/5, 0, 0, 0, 1/5}, 
   {3/5, 3/5, 0, 1/5, 0, 4/5, 2/5, 2/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1, 0, 1/3, 1, 0, 0, 0}, {0, 1/3, 0, 1/3, 0, 0, 2/3, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 2/3}, {0, 1, 0, 0, 1/3, 1/3, 0, 2/3, 2/3}, 
   {1, 0, 1, 1, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1/2, 1}, 
   {0, 1/2, 0, 1/2, 0, 1, 1, 0, 0}, {1/2, 0, 1, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1/3, 0, 0, 2/3, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1/3}, {2/3, 0, 2/3, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 1/3, 0, 0, 0, 1, 0, 0}, {1, 1/3, 0, 0, 0, 0, 0, 1/3, 1/3}, 
   {0, 0, 1/3, 0, 0, 2/3, 1, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/3, 0, 0, 1, 1/3, 0, 1/3, 0, 0}, {0, 0, 0, 0, 0, 1/3, 0, 1/3, 1}, 
   {2/3, 0, 2/3, 2/3, 0, 1/3, 1/3, 0, 0}, {0, 0, 2/3, 1, 1/3, 0, 0, 1/3, 
    1/3}, {0, 0, 0, 0, 0, 1/3, 1, 2/3, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 1, 0, 1/2, 1, 0, 1}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1, 1, 0, 1/2, 0}, 
   {1, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1, 1/2, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 0, 1, 2/3, 0}, 
   {0, 0, 1/3, 0, 0, 2/3, 1, 0, 0}, {1, 1, 0, 2/3, 0, 0, 0, 1/3, 1/3}, 
   {0, 0, 1, 0, 0, 0, 0, 1/3, 1}, {1, 1/3, 0, 0, 0, 2/3, 1, 0, 0}, 
   {0, 0, 1/3, 0, 2/3, 0, 0, 1/3, 1}, {0, 0, 0, 0, 0, 2/3, 0, 2/3, 2/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 1, 0}, 
   {1/2, 1, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {1/2, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, {1, 0, 1, 0, 0, 2/3, 0, 2/3, 1/3}, 
   {0, 1/3, 0, 0, 0, 0, 1, 1, 0}, {0, 1/3, 2/3, 2/3, 0, 0, 1, 1/3, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1/3, 0, 2/3, 2/3, 0, 0, 0, 1/3}, 
   {1/3, 0, 1/3, 2/3, 0, 0, 1, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 1/3, 0, 1/3, 2/3}, 
   {2/3, 0, 0, 1, 1/3, 0, 1/3, 0, 1/3}, {0, 0, 2/3, 0, 0, 1, 0, 1/3, 0}, 
   {2/3, 2/3, 0, 1/3, 1/3, 0, 0, 1/3, 0}, {0, 0, 0, 0, 2/3, 1, 1/3, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 1, 0, 2/3, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 0, 1, 1/3}, {0, 1/3, 2/3, 0, 1/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 1/3, 1/3, 1/3, 1/3, 0, 0}, {1/3, 0, 0, 2/3, 1, 0, 2/3}, 
   {0, 1, 0, 0, 0, 1/3, 1/3}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 0, 1/3}, {0, 0, 2/3, 1/3, 0, 0, 2/3, 1/3}, 
   {0, 0, 1/3, 0, 1/3, 1/3, 1, 0}, {2/3, 0, 0, 1, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 1, 1/3, 2/3}, {0, 2/3, 1/3, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1/2, 1}, {1, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 0, 0, 1, 1/3, 0, 0, 0}, 
   {0, 0, 1/3, 1, 0, 0, 0, 2/3, 0}, {0, 2/3, 1/3, 2/3, 1/3, 0, 2/3, 0, 0}, 
   {1/3, 1/3, 0, 1, 0, 1/3, 2/3, 0, 0}, {0, 0, 1, 0, 1, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 2/3, 1/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 1/3, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 1/3, 0, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 2/3, 0, 0, 0, 0, 1/3}, {1, 0, 1/3, 0, 0, 2/3, 1/3, 1/3, 0}, 
   {0, 2/3, 1/3, 0, 0, 2/3, 1/3, 0, 0}, {2/3, 0, 1/3, 2/3, 0, 0, 1/3, 2/3, 
    0}, {1/3, 1/3, 0, 0, 0, 2/3, 0, 1/3, 1/3}, {1/3, 0, 0, 0, 2/3, 0, 1/3, 0, 
    1/3}, {1, 0, 2/3, 0, 0, 0, 1/3, 0, 1}, {0, 1/3, 1/3, 0, 2/3, 0, 0, 1/3, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 1/3, 1, 2/3, 0}, {2/3, 0, 0, 0, 1/3, 1/3, 2/3, 0}, 
   {0, 2/3, 1, 1, 0, 0, 1/3, 1/3}, {2/3, 0, 1/3, 1/3, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 0, 1, 0, 1/3, 1/3}, {1/3, 1/3, 0, 0, 1/3, 1/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 1, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 1, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1/2, 1, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 1/3, 1, 1/3, 0, 2/3, 0, 0}, {0, 0, 1/3, 1/3, 1/3, 0, 2/3, 0, 2/3}, 
   {1/3, 1/3, 0, 2/3, 0, 1, 0, 0, 0}, {2/3, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/3, 0, 2/3, 1, 0, 2/3, 0}, {1/3, 1/3, 0, 1/3, 1, 0, 0, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1/3, 0, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 2/3, 0, 0, 1/3, 1/3, 0}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 1/3, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 1/3, 0}, {0, 2/3, 0, 0, 2/3, 0, 0, 1/3, 2/3}, 
   {0, 0, 1, 0, 0, 2/3, 0, 1/3, 1}, {0, 0, 1, 0, 2/3, 2/3, 0, 1/3, 1/3}, 
   {1, 1, 0, 2/3, 0, 0, 1/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 1, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 2, 2}, {2, 2, 3}}}, {{{1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 1, 1, 0, 1, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 2/3, 0, 0, 0, 1/3, 1/3}, 
   {0, 1/3, 0, 0, 0, 1, 0, 2/3}, {1/3, 0, 0, 0, 2/3, 1/3, 0, 0}, 
   {0, 1/3, 0, 0, 0, 0, 1, 1/3}, {0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1/2, 0, 0}, {1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 1, 1/2, 1/2, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 1, 1/2, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 1/2, 0, 1, 1, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1, 1/2}, 
   {1, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 1, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1/2}, {1, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1/2, 1, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1/3, 1/3, 0}, {0, 1/3, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 2/3, 0, 2/3, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 2/3, 1/3}, {0, 1, 2/3, 2/3, 0, 1/3, 1/3, 0}, 
   {1/3, 0, 2/3, 0, 0, 2/3, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 3/4, 0, 3/4, 0, 0}, {0, 3/4, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 3/4, 0, 1/2}, {1/2, 0, 3/4, 0, 1/2, 1/4, 1/4, 0}, 
   {1/2, 0, 1, 1/4, 0, 0, 0, 1/2}, {1/4, 0, 0, 0, 1/4, 0, 3/4, 1/4}, 
   {1, 0, 0, 0, 1, 0, 0, 1/4}, {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0}, {1/3, 0, 0, 2/3, 0, 0, 1, 1/3}, 
   {2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 1/3, 2/3, 0, 0, 0, 1, 1/3}, 
   {1, 0, 0, 0, 2/3, 1, 0, 0}, {1, 0, 2/3, 0, 0, 1/3, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 1, 0, 1}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/4, 0, 3/4, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 3/4, 1/4, 0, 1/4}, 
   {0, 1/2, 1/4, 0, 1, 1, 0, 1/4, 0}, {1/4, 0, 1/2, 1/2, 3/4, 0, 3/4, 1/4, 
    0}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 1/4, 0, 0, 0, 0, 
    3/4}, {0, 0, 1/2, 1/4, 0, 3/4, 0, 0, 0}, {1/4, 1/4, 0, 0, 1/2, 1/2, 0, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 1/3, 0, 2/3, 0, 1/3, 0, 0}, {1, 0, 0, 0, 0, 0, 1/3, 1/3}, 
   {1/3, 0, 0, 2/3, 2/3, 1/3, 0, 2/3}, {1/3, 0, 2/3, 0, 0, 1, 2/3, 0}, 
   {0, 1, 2/3, 0, 2/3, 0, 1/3, 1/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 0, 0, 0, 1, 0, 0, 2/5}, {0, 4/5, 1/5, 1/5, 0, 1/5, 1/5, 0}, 
   {3/5, 0, 0, 3/5, 0, 0, 3/5, 0}, {0, 0, 3/5, 3/5, 0, 0, 0, 3/5}, 
   {0, 0, 0, 0, 0, 0, 3/5, 3/5}, {0, 2/5, 0, 0, 4/5, 3/5, 0, 1/5}, 
   {1/5, 0, 3/5, 0, 1/5, 1, 2/5, 0}, {4/5, 0, 1, 1, 0, 0, 0, 1/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 1/3, 0, 1, 1/3, 0, 1/3}, 
   {2/3, 0, 0, 0, 1, 0, 0, 1/3, 0}, {0, 2/3, 0, 0, 0, 1/3, 0, 1/3, 0}, 
   {0, 2/3, 0, 1/3, 1/3, 0, 1/3, 0, 1/3}, {0, 0, 0, 0, 2/3, 1/3, 0, 1/3, 
    2/3}, {2/3, 0, 0, 1, 0, 2/3, 0, 0, 0}, {0, 0, 2/3, 1/3, 2/3, 0, 2/3, 0, 
    0}, {0, 2/3, 2/3, 1/3, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 1, 0, 0, 1/3, 0, 1}, {0, 0, 0, 1, 1/3, 0, 1, 0}, 
   {0, 0, 0, 1, 1/3, 1/3, 0, 1}, {0, 2/3, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 2/3, 2/3, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{3/4, 0, 1/4, 0, 1/2, 0, 1/4, 1/2, 0}, {0, 0, 1, 1/4, 0, 1/4, 0, 1/4, 
    1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/4}, 
   {0, 1/4, 1, 1/4, 1/4, 0, 1/4, 0, 1/4}, {1/2, 3/4, 0, 0, 0, 1/2, 0, 1/2, 
    0}, {1/2, 0, 0, 0, 0, 1/2, 3/4, 1/2, 0}, {0, 1/2, 1/4, 1/2, 0, 0, 1/2, 
    1/2, 0}, {1/4, 0, 1/2, 0, 1/4, 1/4, 0, 0, 1}, 
   {1/2, 1/4, 0, 1/2, 0, 0, 0, 0, 1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 1/3, 0, 0, 0}, {0, 1/3, 1/3, 1/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1, 0, 2/3, 2/3}, {1/3, 0, 1/3, 1/3, 0, 2/3, 2/3, 0}, 
   {1/3, 0, 1, 1/3, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0, 1}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 1, 0, 1/3, 0, 1/3, 0}, {0, 0, 0, 1, 2/3, 1/3, 0, 1}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 1/3, 0, 0, 1/3, 2/3}, {0, 0, 1, 0, 1/3, 1/3, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 2/3, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 2/3, 0, 1/3, 0, 1}, {1/3, 0, 0, 0, 0, 2/3, 0, 1/3, 2/3}, 
   {1/3, 0, 0, 0, 2/3, 2/3, 0, 1/3, 0}, {0, 1/3, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 2/3, 2/3, 0, 1/3, 0, 1/3}, {0, 1/3, 1, 0, 0, 2/3, 0, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1, 1/2, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, {1, 1/2, 0, 1/2, 0, 0, 1, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1/2, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 2/3, 0, 0, 1, 0, 1/3}, {0, 1/3, 0, 2/3, 0, 0, 1, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {1/3, 0, 2/3, 0, 2/3, 0, 1, 0}, {1, 0, 0, 2/3, 0, 2/3, 1/3, 0}, 
   {0, 1/3, 0, 2/3, 2/3, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/7, 1/7, 0, 5/7, 0, 0, 0, 1}, {5/7, 0, 6/7, 1/7, 0, 1/7, 4/7, 0, 
    1/7}, {1/7, 0, 0, 0, 5/7, 6/7, 1/7, 1/7, 0}, {0, 5/7, 0, 6/7, 0, 0, 0, 
    1/7, 0}, {1/7, 0, 1/7, 0, 0, 0, 5/7, 0, 1}, {0, 1/7, 2/7, 4/7, 0, 2/7, 0, 
    1/7, 2/7}, {0, 0, 1/7, 0, 3/7, 0, 1, 6/7, 0}, 
   {3/7, 1/7, 0, 0, 1/7, 6/7, 0, 5/7, 1/7}, {1/7, 1, 0, 5/7, 0, 5/7, 1/7, 0, 
    2/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 1/3, 1/3, 1, 0}, {0, 0, 1, 1/3, 0, 0, 0, 1/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {2/3, 0, 1, 1, 0, 1/3, 1, 0}, {0, 2/3, 0, 0, 1, 0, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 1, 1, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 0, 1/3, 0, 0, 2/3}, {0, 1/3, 1, 1, 1/3, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 2/3, 1/3, 0, 2/3, 0}, {1/3, 0, 0, 1/3, 1/3, 0, 2/3, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 2/3, 0, 0, 2/3, 2/3, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1, 1, 0, 0, 0, 1/2, 0, 0}, {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1/2, 1/2}, {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 1/3, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1/3, 1/3, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 1/3, 0, 2/3}, {0, 0, 0, 1, 0, 2/3, 1, 0, 0}, 
   {2/3, 2/3, 0, 0, 1/3, 1/3, 0, 1/3, 1/3}, {0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 1, 1, 1, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 1/3, 0, 2/3, 0, 0, 0, 1}, {1, 1/3, 0, 0, 0, 0, 1/3, 1/3, 0}, 
   {0, 0, 1/3, 0, 0, 2/3, 0, 2/3, 1/3}, {1, 1, 0, 0, 2/3, 2/3, 0, 0, 1/3}, 
   {1/3, 1/3, 0, 2/3, 0, 0, 2/3, 0, 1}, {0, 0, 1, 2/3, 2/3, 0, 1, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 1, 2/3, 0, 0, 0}, 
   {0, 1/3, 1/3, 0, 1/3, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3}, {2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 1, 0, 1/3, 0, 0, 2/3, 2/3}, {1/3, 0, 1, 0, 1/3, 0, 0, 0}, 
   {0, 1/3, 2/3, 1/3, 0, 0, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1, 0, 0, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 1, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 1, 1/3, 0, 0, 1/3}, {0, 0, 0, 1/3, 2/3, 0, 1/3, 1/3, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 1, 1/3, 0}, {0, 2/3, 2/3, 0, 1/3, 1, 1/3, 1/3, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 2/3, 1}, {0, 0, 2/3, 1/3, 0, 2/3, 0, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 2/3, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 1, 0, 1, 1/3, 0, 0, 0}, 
   {1/3, 1/3, 0, 1/3, 0, 0, 2/3, 0, 0}, {1/3, 1, 0, 0, 1/3, 1/3, 0, 2/3, 0}, 
   {0, 2/3, 1, 1/3, 0, 0, 0, 0, 2/3}, {2/3, 0, 1/3, 1/3, 0, 0, 2/3, 2/3, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {1, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1/2, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1/2, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1/3}, 
   {1/3, 0, 1/3, 0, 0, 0, 0, 1, 0}, {0, 0, 2/3, 0, 0, 1, 2/3, 0, 1}, 
   {0, 2/3, 0, 0, 2/3, 1, 0, 0, 0}, {0, 1/3, 0, 0, 2/3, 0, 1/3, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 2/3, 0, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 1/3, 1, 0}, 
   {1, 0, 1/3, 0, 0, 0, 1/3, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 1/3, 0, 2/3, 0, 0, 1, 1/3}, {0, 2/3, 1/3, 0, 0, 0, 0, 1/3, 1/3}, 
   {1/3, 1, 0, 0, 0, 2/3, 1/3, 0, 0}, {2/3, 0, 1, 0, 0, 0, 1/3, 0, 0}, 
   {1/3, 1/3, 0, 0, 2/3, 0, 0, 1, 1/3}, {0, 0, 1/3, 2/3, 2/3, 0, 1/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 0, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1/2}, {0, 1, 0, 1/2, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1, 1/2, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 1, 0}, {0, 1, 0, 1, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1, 0, 0, 0, 1/2, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 1/3, 0, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 1/3, 0, 0, 0}, {0, 1/3, 0, 2/3, 1, 0, 1/3, 0, 1/3}, 
   {1, 0, 1, 0, 1/3, 2/3, 0, 1/3, 0}, {2/3, 1/3, 0, 1, 0, 1/3, 0, 1/3, 0}, 
   {0, 1/3, 0, 1/3, 0, 2/3, 1/3, 0, 1/3}, {0, 1, 0, 0, 1/3, 1/3, 0, 1/3, 0}, 
   {1/3, 0, 1/3, 1, 0, 0, 2/3, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 1, 0, 
    1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 
    1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 1/3, 1}, 
   {1/3, 0, 0, 2/3, 1/3, 0, 0}, {0, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 0, 1/3, 2/3, 0, 0}, {2/3, 0, 0, 1/3, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0}, {0, 2/3, 1/3, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 0, 0, 1, 0, 1/3, 0, 0, 1}, 
   {2/3, 0, 0, 0, 1/3, 0, 1, 1/3, 0}, {0, 0, 0, 0, 1/3, 2/3, 0, 2/3, 1}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, {0, 0, 2/3, 1/3, 0, 1/3, 1/3, 1, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 2/3, 2/3}, {0, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 0, 1/3, 1, 0, 1/3, 1/3}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {2/3, 0, 2/3, 0, 1, 1/3, 1/3, 0, 0}, 
   {0, 0, 0, 1/3, 0, 0, 0, 1/3, 1}, {0, 0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 2/3, 0, 2/3, 2/3, 0, 0, 2/3, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 1, 1/2}, {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {1, 0, 1/2, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {1, 1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 1, 1/2}, {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1/2}, {1, 0, 0, 1, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1/4, 1/4, 0}, {0, 0, 0, 0, 1/4, 0, 0, 1/2}, 
   {1/4, 0, 0, 1/2, 3/4, 0, 3/4, 0}, {1/4, 0, 3/4, 1/2, 0, 3/4, 0, 0}, 
   {0, 1/2, 1/4, 0, 1/4, 0, 3/4, 0}, {0, 1/4, 0, 1/4, 1/2, 3/4, 0, 1/4}, 
   {1/2, 0, 1, 1/2, 0, 0, 3/4, 1}, {1/2, 0, 1/2, 0, 1, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 1, 0, 0}, {0, 1/2, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 1, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {1, 1, 0, 0, 1/2, 0, 1, 0, 1}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1, 0, 1/2, 1/2}, {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, {0, 1, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 
    0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 
    1/2}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 1/4, 0, 0, 1/2, 0}, {1/2, 3/4, 0, 0, 1/4, 3/4, 1/4, 0, 
    1/4}, {1/4, 0, 1/4, 1, 0, 0, 0, 1/2, 1/4}, {1/4, 0, 0, 0, 1/4, 1/4, 0, 
    1/2, 0}, {1/2, 0, 0, 0, 3/4, 1/4, 0, 0, 0}, {0, 0, 3/4, 1/2, 0, 0, 0, 0, 
    1/2}, {0, 0, 3/4, 0, 1, 1, 0, 1/4, 0}, {0, 1/4, 1, 0, 1/4, 1/2, 1/2, 0, 
    0}, {1/2, 1/2, 0, 1, 0, 0, 1/2, 0, 1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 
    1/2}, {1, 0, 1/2, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/4, 0, 1/4, 1/2, 0, 1/2, 0, 3/4, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 3/4}, 
   {0, 0, 1/4, 0, 0, 3/4, 1/2, 0, 0}, {3/4, 0, 1/4, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/4, 1/4}, {1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1/4, 1/2, 1, 0, 1/4, 1/4, 0, 3/4}, {1/4, 1/2, 0, 0, 1/2, 0, 1, 3/4, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 1/6, 0, 1/6, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/6, 5/6, 0}, {1/6, 2/3, 0, 1/6, 1/6, 2/3, 0, 0, 
    1/3}, {0, 1/2, 1/2, 0, 0, 1/2, 1/3, 1/3, 0}, 
   {5/6, 0, 0, 1/6, 1/6, 0, 2/3, 0, 1}, {0, 5/6, 1/6, 1/2, 2/3, 0, 0, 0, 
    1/2}, {1/2, 0, 2/3, 0, 1/6, 1/6, 0, 2/3, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/6, 5/6, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 1, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 1}, {0, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 0, 1, 0, 1/3}, {0, 0, 1, 0, 1, 0, 1/3, 0}, 
   {2/3, 0, 1, 0, 1/3, 1/3, 0, 1/3}, {0, 0, 0, 1/3, 0, 0, 1, 2/3}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2, 1}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 1}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 1/2, 1/2, 1/2, 1, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 1/3, 2/3, 0, 2/3, 2/3, 0, 0, 1/3}, {1/3, 0, 1/3, 2/3, 2/3, 0, 1, 1, 
    0}, {0, 1, 0, 2/3, 0, 0, 2/3, 0, 1}, {0, 1/3, 0, 0, 2/3, 2/3, 1/3, 1/3, 
    0}, {1/3, 0, 1, 2/3, 0, 0, 0, 0, 1}, {0, 1/3, 0, 0, 0, 2/3, 1/3, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 2/3, 0, 0, 1/3, 1}, {0, 1/3, 0, 0, 0, 1, 1/3, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 2/3, 0}, {0, 1/3, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {2/3, 1, 0, 0, 0, 0, 0, 1/3, 0}, {0, 0, 0, 1, 1, 0, 2/3, 0, 0}, 
   {1/3, 0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, {2/3, 0, 2/3, 0, 0, 0, 0, 1/3, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/3, 0, 1/3, 0, 2/3, 0, 0, 1/3, 1}, 
   {0, 1, 0, 0, 2/3, 0, 1/3, 0, 0}, {0, 1/3, 2/3, 0, 0, 2/3, 1, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 1/3, 0, 0, 0, 2/3, 0, 1, 1}, 
   {2/3, 1/3, 0, 2/3, 0, 2/3, 0, 1/3, 1/3}, {1, 0, 1, 0, 2/3, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 1/3, 0, 1/3, 1/3}, 
   {0, 0, 2/3, 1/3, 0, 0, 1/3, 0, 0}, {0, 0, 0, 1/3, 0, 0, 1/3, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 2/3, 2/3}, {0, 0, 2/3, 0, 1, 1/3, 1, 0, 0}, 
   {2/3, 2/3, 0, 1/3, 0, 0, 0, 1/3, 1/3}, {2/3, 0, 0, 1/3, 2/3, 0, 0, 1/3, 
    1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 4/5, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 4/5, 0, 0, 4/5}, {2/5, 1/5, 0, 3/5, 0, 2/5, 0, 0}, 
   {0, 1/5, 2/5, 1, 0, 0, 0, 2/5}, {1/5, 0, 1/5, 0, 1/5, 4/5, 4/5, 0}, 
   {1, 0, 4/5, 1/5, 0, 0, 0, 0}, {0, 1/5, 3/5, 0, 1, 0, 0, 4/5}, 
   {3/5, 0, 0, 1/5, 0, 2/5, 4/5, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 1/3, 0, 0, 0, 0}, {0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 2/3, 2/3, 2/3, 0}, 
   {1/3, 0, 1/3, 1, 0, 2/3, 2/3, 0}, {0, 1/3, 0, 0, 1/3, 2/3, 0, 2/3}, 
   {0, 1, 0, 2/3, 1/3, 0, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 1}, {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 0, 1/3, 1, 0}, {0, 1/3, 0, 0, 2/3, 0, 0, 1/3}, 
   {1/3, 0, 2/3, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1/3, 1/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 2/3}, 
   {0, 2/3, 2/3, 2/3, 0, 0, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3, 2/3}, {0, 1/3, 0, 1/3, 0, 1, 0, 2/3, 0}, 
   {0, 1/3, 0, 1/3, 0, 1/3, 2/3, 2/3, 0}, {1, 0, 1/3, 0, 1, 0, 2/3, 0, 0}, 
   {2/3, 1/3, 0, 0, 1/3, 0, 2/3, 0, 0}, {0, 1/3, 0, 0, 1, 0, 0, 0, 2/3}, 
   {1/3, 0, 1/3, 1/3, 0, 1/3, 2/3, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1, 1, 0, 1/2, 0, 0}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 1/2, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1/4, 1/4, 0, 0, 0}, 
   {0, 1/4, 1/2, 0, 0, 3/4, 0, 0}, {0, 1/2, 0, 1/2, 1/4, 1/2, 0, 1/2}, 
   {1/4, 0, 1, 0, 1/2, 3/4, 1/4, 0}, {0, 1/2, 1/2, 1/4, 0, 0, 1/4, 0}, 
   {0, 0, 0, 0, 1/4, 0, 1/2, 3/4}, {0, 0, 0, 3/4, 1, 0, 1/2, 0}, 
   {3/4, 0, 1/2, 1/2, 0, 1/4, 0, 1/4}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 2/3, 0, 2/3, 0, 1/3, 1}, {1, 0, 0, 0, 0, 1/3, 0, 0}, 
   {1/3, 0, 2/3, 0, 0, 0, 1/3, 1/3}, {0, 1/3, 0, 0, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 2/3, 2/3}, 
   {0, 2/3, 0, 0, 0, 2/3, 2/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1/3}, {2/3, 0, 1/3, 0, 1/3, 0, 1, 0}, 
   {2/3, 0, 0, 1/3, 2/3, 0, 1, 0}, {0, 0, 1, 0, 1/3, 1/3, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 0, 1/3, 2/3}, {2/3, 0, 0, 0, 2/3, 2/3, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 2/3, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0}, {2/3, 0, 0, 1/3, 2/3, 1/3, 0, 0}, 
   {0, 0, 1, 0, 1/3, 0, 1/3, 1/3}, {2/3, 0, 0, 1/3, 0, 1/3, 0, 2/3}, 
   {0, 0, 0, 1/3, 0, 2/3, 1, 1/3}, {0, 2/3, 1/3, 0, 1/3, 1/3, 0, 0}, 
   {0, 0, 0, 1, 2/3, 0, 1/3, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 1, 0, 1, 1/2}, {0, 0, 0, 1/2, 1, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 1/2}, 
   {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1/2}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 1/3, 0, 0, 2/3, 1/3, 0}, 
   {2/3, 0, 0, 0, 1/3, 1/3, 1/3, 0, 1/3}, {0, 0, 0, 1, 0, 2/3, 0, 1/3, 0}, 
   {2/3, 2/3, 0, 1/3, 0, 0, 1/3, 0, 1}, {0, 2/3, 2/3, 0, 1, 1/3, 0, 1/3, 
    2/3}, {0, 0, 0, 1/3, 0, 2/3, 1, 2/3, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 0, 1, 1/2}, 
   {1, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1/3, 0, 1, 0, 1, 0}, 
   {2/3, 0, 0, 0, 1/3, 0, 1/3, 0, 1/3}, {1/3, 0, 1/3, 0, 1/3, 1/3, 0, 2/3, 
    0}, {0, 1/3, 2/3, 1/3, 0, 0, 2/3, 0, 0}, {1/3, 0, 1/3, 1/3, 0, 0, 1/3, 
    1/3, 1/3}, {0, 1/3, 0, 0, 0, 1/3, 1/3, 0, 1}, 
   {1, 0, 1/3, 2/3, 0, 1/3, 0, 1/3, 0}, {0, 1/3, 0, 1/3, 1, 0, 0, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 1, 1, 0, 1/3, 0, 0}, {0, 0, 0, 0, 1/3, 0, 1, 1/3}, 
   {0, 0, 0, 0, 1/3, 1, 0, 2/3}, {2/3, 0, 1/3, 1/3, 0, 0, 1/3, 1/3}, 
   {0, 0, 2/3, 0, 1/3, 1/3, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 1/3, 0, 2/3, 0, 1, 0, 0}, {1/3, 0, 2/3, 2/3, 0, 0, 1/3, 1/3}, 
   {0, 1, 0, 0, 0, 1, 2/3, 0}, {1/3, 0, 0, 0, 0, 1/3, 0, 2/3}, 
   {1, 0, 0, 0, 0, 1/3, 0, 0}, {0, 1/3, 0, 0, 2/3, 0, 1/3, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/4, 1/4, 3/4, 0, 0}, 
   {1/4, 0, 3/4, 1/2, 0, 0, 0, 0, 0}, {1/4, 0, 0, 1/2, 0, 3/4, 0, 3/4, 0}, 
   {1/2, 3/4, 0, 1/2, 1/4, 0, 0, 0, 1/4}, {0, 1/4, 1/4, 1/4, 0, 1/2, 0, 3/4, 
    1/4}, {1/2, 0, 0, 0, 1/2, 1, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/4, 
    1/4, 0}, {0, 0, 0, 0, 0, 1/4, 3/4, 0, 1/2}, {0, 0, 0, 0, 3/4, 1/4, 0, 0, 
    1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 1, 0, 0, 1/3, 1/3, 0}, {2/3, 0, 0, 0, 1/3, 1, 0, 0, 1/3}, 
   {0, 2/3, 2/3, 0, 1/3, 1, 1/3, 1/3, 0}, {0, 2/3, 0, 1/3, 0, 2/3, 0, 2/3, 
    1/3}, {2/3, 0, 0, 1, 2/3, 0, 0, 0, 1/3}, {0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/3, 0, 1, 1/3, 1/3, 0}, 
   {0, 2/3, 0, 0, 1/3, 0, 2/3, 0, 1/3}, {0, 0, 2/3, 0, 1/3, 0, 0, 0, 1}, 
   {0, 0, 0, 1/3, 1, 0, 1, 1, 0}, {0, 2/3, 0, 0, 0, 1/3, 0, 0, 1}, 
   {0, 0, 0, 2/3, 0, 1, 0, 0, 1}, {2/3, 0, 2/3, 1/3, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 0, 1/3, 2/3, 2/3, 0, 2/3, 0}, {0, 0, 0, 1/3, 0, 2/3, 2/3, 2/3, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 0, 0, 0, 0}, {0, 1/3, 0, 1/3, 1/3, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 2/3, 0, 2/3}, {2/3, 1/3, 1/3, 2/3, 0, 0, 0, 0}, 
   {1, 0, 0, 1/3, 1/3, 2/3, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 1, 0, 0, 0, 2/3}, {0, 1/3, 1, 0, 0, 1/3, 0, 0, 0}, 
   {0, 1/3, 1/3, 1/3, 1, 0, 0, 2/3, 0}, {1/3, 0, 0, 0, 2/3, 1/3, 0, 2/3, 0}, 
   {1, 2/3, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 2/3, 0, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 1, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 1, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 2/3, 0, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 0, 2/3, 1/3, 0, 1}, {1, 0, 0, 0, 2/3, 1/3, 0, 1/3}, 
   {0, 1, 0, 0, 0, 2/3, 1, 0}, {0, 1, 2/3, 0, 0, 0, 1, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 1, 0}, {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 0, 1, 0, 2/3, 0}, {2/3, 0, 0, 1, 2/3, 0, 1/3, 0, 1/3}, 
   {0, 0, 0, 0, 0, 1, 2/3, 0, 1}, {1/3, 1, 0, 1/3, 0, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 1/3, 0, 0, 1/3, 0}, {1/3, 1/3, 0, 0, 1/3, 1, 0, 0, 1/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 1/3, 1/3, 0}, {0, 0, 1, 1/3, 2/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/7, 1, 0, 0, 0, 0, 4/7}, {3/7, 0, 0, 1/7, 1/7, 4/7, 0, 0}, 
   {2/7, 0, 1/7, 5/7, 4/7, 1/7, 0, 0}, {6/7, 0, 1/7, 1/7, 0, 5/7, 0, 0}, 
   {0, 6/7, 0, 0, 1, 0, 1, 3/7}, {0, 5/7, 1/7, 0, 1/7, 1, 0, 0}, 
   {1, 0, 1/7, 0, 1/7, 0, 5/7, 5/7}, {0, 5/7, 0, 1, 0, 0, 1/7, 1/7}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 1/2}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1/2, 1/2, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 5/8, 0, 1/8, 0}, {3/4, 0, 0, 1/8, 1/8, 0, 5/8, 0, 5/8}, 
   {3/8, 3/8, 0, 0, 5/8, 0, 0, 1/2, 3/8}, {0, 0, 3/8, 7/8, 0, 1/8, 1, 0, 
    5/8}, {0, 0, 3/8, 3/4, 5/8, 0, 3/8, 1/8, 0}, {0, 3/4, 3/8, 0, 7/8, 1/8, 
    5/8, 0, 1/4}, {3/8, 3/8, 0, 5/8, 0, 0, 3/8, 1/2, 0}, 
   {0, 0, 3/8, 5/8, 0, 0, 0, 7/8, 3/8}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 1/4, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1/4, 1, 0}, 
   {1/4, 1/4, 0, 0, 3/4, 0, 0, 3/4, 0}, {0, 1/2, 3/4, 0, 0, 3/4, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/4, 0, 3/4, 1/4, 0}, {1/2, 0, 1/4, 0, 0, 1/4, 1/2, 0, 0}, 
   {0, 0, 1/4, 3/4, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 0, 1/2, 0, 1/4, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 2/3, 1/3, 1, 0}, 
   {1/3, 0, 2/3, 0, 2/3, 0, 0, 1/3}, {1/3, 0, 0, 0, 0, 0, 1/3, 2/3}, 
   {1, 0, 0, 0, 0, 0, 1/3, 0}, {0, 1/3, 0, 2/3, 0, 1/3, 0, 1}, 
   {0, 0, 0, 2/3, 0, 1/3, 0, 2/3}, {0, 2/3, 0, 0, 0, 1/3, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 1/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 1, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 2/3, 1, 0, 0, 1/3, 0, 0}, {0, 2/3, 0, 0, 1/3, 1/3, 0, 1, 1}, 
   {2/3, 0, 0, 1/3, 0, 0, 1/3, 2/3, 0}, {0, 2/3, 0, 0, 1, 1, 1, 0, 0}, 
   {2/3, 2/3, 0, 1/3, 0, 0, 0, 1/3, 1/3}, {2/3, 0, 0, 1/3, 0, 2/3, 0, 1, 
    1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 1, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 1, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/5, 1/5, 0, 1, 2/5, 0, 3/5, 0}, {2/5, 0, 0, 1/5, 0, 0, 0, 0, 3/5}, 
   {0, 0, 2/5, 0, 3/5, 0, 0, 4/5, 3/5}, {0, 0, 2/5, 3/5, 0, 3/5, 3/5, 1/5, 
    0}, {1/5, 4/5, 0, 0, 3/5, 0, 2/5, 0, 2/5}, {0, 2/5, 0, 2/5, 0, 0, 3/5, 1, 
    0}, {1/5, 0, 4/5, 0, 4/5, 1/5, 4/5, 0, 1/5}, {3/5, 2/5, 0, 2/5, 0, 3/5, 
    0, 2/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/5, 1/5, 0, 0, 0, 3/5, 2/5, 0, 2/5}, {0, 0, 2/5, 3/5, 0, 0, 0, 1/5, 0}, 
   {2/5, 4/5, 0, 1/5, 3/5, 0, 3/5, 2/5, 0}, {0, 2/5, 1/5, 0, 2/5, 1, 0, 2/5, 
    0}, {1/5, 0, 1, 4/5, 0, 3/5, 1/5, 0, 1/5}, {0, 1/5, 0, 2/5, 3/5, 0, 0, 0, 
    3/5}, {2/5, 0, 2/5, 0, 4/5, 1/5, 0, 0, 0}, {3/5, 4/5, 0, 2/5, 0, 3/5, 0, 
    0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1/3, 1, 0, 0, 0}, {1/3, 0, 1/3, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 0, 1, 1, 0, 0, 2/3}, {0, 1, 1/3, 0, 0, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 2/3, 2/3, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 1, 0, 1/2, 0}, {1, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/3, 1}, 
   {0, 1, 0, 1, 2/3, 0, 1, 0, 0}, {0, 0, 1/3, 0, 0, 1, 0, 2/3, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 2/3, 0}, {1/3, 1/3, 0, 0, 0, 1, 2/3, 0, 2/3}, 
   {0, 2/3, 1/3, 1/3, 0, 2/3, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {1/2, 1, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1, 1, 0, 0}, {1, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 2/5, 0, 0, 0, 1/5}, {0, 1/5, 0, 0, 0, 1/5, 1, 0}, 
   {2/5, 0, 0, 0, 4/5, 1/5, 2/5, 0}, {0, 0, 2/5, 0, 4/5, 3/5, 0, 0}, 
   {0, 2/5, 0, 0, 0, 3/5, 0, 4/5}, {0, 3/5, 0, 2/5, 0, 1/5, 0, 3/5}, 
   {1/5, 0, 4/5, 4/5, 0, 0, 3/5, 0}, {0, 3/5, 0, 0, 0, 1/5, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1/2, 0, 1/4, 0, 1}, 
   {3/4, 0, 0, 0, 0, 1/4, 0, 1/2, 0}, {0, 0, 3/4, 1/4, 0, 0, 3/4, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0, 1}, {0, 3/4, 3/4, 1/4, 0, 3/4, 0, 1/2, 0}, 
   {0, 3/4, 0, 0, 1/4, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/4, 0, 1}, 
   {0, 0, 0, 0, 1/4, 0, 0, 1/2, 3/4}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 1, 0, 0, 1/3}, {0, 2/3, 0, 0, 2/3, 0, 0, 2/3, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 2/3, 2/3, 0, 1/3}, 
   {2/3, 2/3, 0, 1/3, 0, 1/3, 1/3, 1/3, 0}, {2/3, 0, 2/3, 0, 1, 0, 0, 0, 
    1/3}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/7, 3/7, 2/7, 2/7, 0, 1/7, 0, 1/7}, {3/7, 0, 0, 0, 0, 4/7, 0, 5/7, 
    0}, {0, 3/7, 0, 2/7, 5/7, 0, 4/7, 0, 4/7}, {0, 2/7, 3/7, 0, 0, 6/7, 0, 0, 
    4/7}, {4/7, 0, 1/7, 0, 0, 0, 2/7, 2/7, 0}, {0, 2/7, 0, 3/7, 0, 0, 6/7, 0, 
    4/7}, {0, 1, 6/7, 0, 0, 2/7, 4/7, 5/7, 0}, {5/7, 0, 2/7, 0, 0, 5/7, 5/7, 
    0, 1}, {0, 1/7, 0, 4/7, 4/7, 0, 0, 1, 2/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 0, 1/2, 1}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 1/3, 0, 0, 2/3}, {1, 0, 1, 1/3, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 1, 1/3, 1/3, 0, 2/3, 2/3, 0}, 
   {1/3, 0, 0, 2/3, 1, 0, 0, 0}, {1/3, 0, 0, 0, 1/3, 0, 2/3, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1/3, 0, 2/3, 0, 0}, {0, 1, 1/3, 0, 1/3, 0, 0, 2/3}, 
   {0, 1/3, 0, 1/3, 0, 2/3, 2/3, 0}, {1/3, 0, 1, 2/3, 1/3, 0, 0, 0}, 
   {1, 0, 1/3, 0, 1/3, 0, 2/3, 0}, {0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1/3, 0, 0, 1, 0, 0, 0, 2/3, 0}, {1/3, 0, 0, 1/3, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 1/3, 1, 1/3, 0, 0, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 1, 0, 0, 0, 0, 2/3}, {1, 0, 0, 0, 1, 1/3, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 2/3}, 
   {0, 1/3, 0, 1, 1/3, 0, 2/3, 0}, {1/3, 0, 0, 1, 1, 2/3, 0, 2/3}, 
   {0, 1, 1, 0, 0, 0, 0, 2/3}, {2/3, 1/3, 1/3, 2/3, 0, 0, 2/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1, 1/3, 1, 0, 0, 2/3, 0}, 
   {0, 1, 0, 0, 0, 1/3, 2/3, 0, 0}, {1, 0, 1, 0, 0, 1, 2/3, 0, 0}, 
   {0, 1, 0, 1/3, 1/3, 0, 0, 2/3, 0}, {2/3, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1/3, 0, 1, 1/3, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 0, 1, 1/3}, {0, 0, 0, 2/3, 1/3, 0, 1, 0, 2/3}, 
   {0, 0, 2/3, 1/3, 0, 1/3, 0, 1/3, 1/3}, {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 2/3, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 1/2, 1, 1, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 1/2, 1, 0, 1/2}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 1, 0, 0, 1/2, 0, 1, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 2/3, 0, 0}, 
   {1, 0, 1/3, 0, 2/3, 0, 0}, {0, 1/3, 0, 1/3, 0, 2/3, 0}, 
   {1/3, 0, 0, 1/3, 0, 0, 2/3}, {1, 0, 0, 1, 0, 0, 0}, 
   {0, 1/3, 1/3, 0, 0, 0, 2/3}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1, 1, 0}, 
   {1/2, 0, 1, 1/2, 0, 1, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1/3, 1}, 
   {0, 0, 1, 1/3, 0, 1, 0, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 1, 1/3, 0, 2/3}, {0, 0, 0, 2/3, 1, 1/3, 0, 0}, 
   {2/3, 0, 1/3, 1/3, 0, 0, 1, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1/2, 1, 1/2, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, {1, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {1, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/3, 0, 1, 0, 1/3, 1/3}, 
   {0, 2/3, 0, 0, 1/3, 0, 1/3, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 1/3, 2/3}, 
   {0, 0, 2/3, 2/3, 2/3, 0, 0, 1/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 2/3, 1/3, 0}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, {2/3, 0, 0, 2/3, 1, 0, 0, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 1, 1, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1, 0, 0, 1}, {1/2, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1, 1, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, {1/2, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 1, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1/3, 0, 0, 0}, {0, 1/3, 1/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 1/3, 0, 1/3, 1/3, 0, 2/3, 2/3}, 
   {1/3, 0, 1, 2/3, 2/3, 0, 0, 0}, {1/3, 0, 1, 0, 2/3, 0, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1/2, 1, 1, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 1/3, 1, 0, 2/3}, {2/3, 0, 2/3, 0, 0, 1/3, 1/3, 2/3, 0}, 
   {2/3, 0, 0, 1/3, 1/3, 0, 0, 1/3, 1/3}, {0, 2/3, 2/3, 0, 0, 1/3, 0, 1, 
    1/3}, {2/3, 0, 0, 1, 1/3, 0, 1/3, 0, 2/3}, {0, 2/3, 0, 1/3, 1/3, 0, 1/3, 
    2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 1/3, 0, 2/3, 0}, 
   {1/3, 0, 0, 1/3, 0, 0, 0, 2/3}, {0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, 
   {0, 2/3, 2/3, 0, 0, 2/3, 0, 2/3}, {2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 1, 0, 1/3, 2/3, 0, 0, 0}, {0, 1/3, 0, 1/3, 0, 2/3, 2/3, 0}, 
   {1/3, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1}, {0, 1, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1, 1/2, 0, 1/2, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/4, 1/4, 0, 0, 0}, 
   {0, 1/4, 0, 1/2, 0, 3/4, 0, 0, 3/4}, {0, 3/4, 1/4, 1/2, 0, 0, 3/4, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 1/4, 0, 0, 0}, {0, 0, 1/4, 1/2, 0, 0, 3/4, 0, 3/4}, 
   {0, 1/2, 1/2, 0, 1, 1/4, 0, 0, 0}, {1/4, 0, 0, 1/2, 0, 0, 0, 3/4, 0}, 
   {1/4, 0, 0, 1/2, 3/4, 3/4, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {1, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 
    0}, {0, 1/2, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 1/3, 0, 2/3}, {0, 0, 0, 0, 2/3, 1/3, 2/3, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 0, 2/3}, {1/3, 0, 1, 0, 1/3, 0, 0, 0}, 
   {0, 1, 0, 1/3, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1/3, 2/3, 0}, 
   {0, 1/3, 2/3, 1/3, 0, 0, 1/3, 1/3}, {0, 1, 1/3, 0, 1/3, 1/3, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1/3, 0, 0, 2/3, 0, 1, 1/3, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/3}, {0, 0, 1, 2/3, 2/3, 0, 1/3, 1/3, 0}, 
   {1, 1/3, 0, 0, 0, 0, 0, 2/3, 1}, {1/3, 1/3, 0, 2/3, 0, 2/3, 0, 0, 1/3}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 1/3, 0, 1/3, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 1/3, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 1/3, 2/3, 2/3, 1/3, 0, 0, 0, 0}, {0, 1/3, 0, 0, 1, 0, 2/3, 0, 2/3}, 
   {1/3, 0, 1, 1, 0, 1/3, 0, 2/3, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 1/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 1/3, 0, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 0, 2/3, 0, 1, 0, 2/3, 2/3}, {1/3, 2/3, 0, 0, 2/3, 1/3, 2/3, 0, 
    0}, {0, 1, 1/3, 1/3, 1/3, 0, 0, 0, 2/3}, {1, 0, 1/3, 1/3, 1/3, 0, 0, 0, 
    0}, {0, 1/3, 0, 0, 0, 1/3, 0, 2/3, 2/3}, {0, 1/3, 0, 2/3, 0, 1/3, 0, 2/3, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 0, 2/3, 1, 0}, {0, 1/3, 2/3, 0, 0, 1/3, 0, 1/3}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {1/3, 0, 0, 0, 2/3, 1/3, 0, 1}, {0, 1, 0, 0, 2/3, 0, 1/3, 0}, 
   {0, 1, 0, 0, 0, 2/3, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 3/4, 3/4, 0, 1/4, 1/4, 1/2, 0, 1/2}, 
   {3/4, 0, 0, 1/2, 0, 0, 0, 1/4, 0}, {0, 1, 3/4, 1/4, 0, 1/4, 1/4, 1/2, 0}, 
   {3/4, 1/4, 0, 0, 1/2, 3/4, 1/2, 0, 1/4}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/4, 
    1/2}, {0, 1/2, 0, 1/4, 1/4, 0, 1/2, 0, 0}, {1/4, 0, 1/4, 0, 0, 1/2, 1/2, 
    0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/4, 1/4}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 1, 1/3, 0, 1/3}, 
   {0, 0, 0, 1/3, 0, 2/3, 1, 0}, {0, 2/3, 1/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 1/3, 2/3, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 1/3, 0, 1/3, 2/3}, 
   {2/3, 0, 0, 0, 1/3, 0, 1/3, 0}, {0, 0, 1/3, 1/3, 0, 1/3, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1/3, 0, 1/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 2/3}, {0, 1/3, 1, 0, 2/3, 0, 0}, 
   {1/3, 0, 0, 1/3, 0, 2/3, 0}, {0, 2/3, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 2/3}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 2/3, 0, 0, 0, 0, 1/3}, {0, 1/3, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 0, 0, 0, 0, 2/3, 1}, {1/3, 0, 2/3, 0, 0, 1/3, 1/3, 0}, 
   {2/3, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {3/4, 0, 1/4, 3/4, 1/4, 0, 1, 3/4, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 
    1/2}, {0, 3/4, 0, 0, 0, 3/4, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 3/4}, 
   {0, 0, 3/4, 0, 3/4, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 1/2}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 0, 1/3, 1/3, 1/3, 0}, {0, 0, 0, 0, 1/3, 0, 0, 0, 1/3}, 
   {0, 2/3, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 0}, {2/3, 0, 2/3, 0, 1/3, 2/3, 1/3, 1/3, 
    0}, {0, 0, 0, 2/3, 1, 0, 1/3, 1, 0}, {2/3, 2/3, 0, 1, 0, 1/3, 0, 0, 
    1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 1/3, 1/3, 1/3, 0, 1/3}, {0, 2/3, 1/3, 0, 0, 0, 1/3, 0}, 
   {0, 0, 1/3, 0, 0, 2/3, 1/3, 0}, {2/3, 0, 0, 1, 1, 0, 1/3, 0}, 
   {0, 0, 1, 0, 2/3, 1, 0, 1}, {2/3, 0, 1/3, 0, 0, 1/3, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1/2, 1}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 2/3}, {1/3, 0, 0, 1/3, 1/3, 0, 0, 2/3}, 
   {0, 1/3, 1, 0, 0, 2/3, 0, 0}, {1, 0, 1, 2/3, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 0, 2/3, 2/3}, {0, 1/3, 0, 1, 1/3, 0, 2/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 0, 1/2, 1}, {1, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1, 0, 1/2}, {1, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 2/3, 0}, {0, 1/3, 0, 1, 1/3, 0, 0, 0}, 
   {0, 1/3, 1/3, 0, 2/3, 0, 0, 0}, {1/3, 0, 0, 1/3, 1/3, 2/3, 0, 2/3}, 
   {0, 1, 1/3, 0, 0, 2/3, 2/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 7/15, 1/3, 0, 4/15, 0, 0, 0, 2/15}, 
   {4/15, 2/15, 0, 1/3, 0, 1/3, 0, 0, 11/15}, {2/15, 0, 7/15, 0, 4/15, 0, 
    7/15, 7/15, 0}, {3/5, 7/15, 0, 8/15, 0, 0, 2/15, 1/15, 0}, 
   {2/15, 0, 2/15, 8/15, 0, 0, 0, 8/15, 7/15}, {0, 7/15, 0, 0, 1/15, 2/3, 
    2/3, 0, 8/15}, {1/3, 0, 3/5, 2/3, 1/3, 0, 8/15, 0, 8/15}, 
   {1/3, 0, 0, 0, 13/15, 8/15, 0, 2/3, 0}, {0, 4/15, 4/15, 1/3, 0, 4/15, 3/5, 
    2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 1, 1/3, 0, 0}, {0, 0, 2/3, 1/3, 1/3, 0, 0, 1/3, 1/3}, 
   {2/3, 0, 0, 0, 0, 1/3, 1/3, 2/3, 0}, {0, 2/3, 2/3, 0, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, {2/3, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 1, 0, 1/3, 1/3}, {0, 2/3, 0, 1/3, 1/3, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 0, 0, 1/3, 0, 1/3, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 1/2, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 1, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 2/5, 4/5, 0, 4/5}, {0, 3/5, 0, 1/5, 0, 0, 0, 2/5, 0}, 
   {3/5, 0, 0, 4/5, 0, 0, 1, 0, 3/5}, {3/5, 0, 3/5, 0, 2/5, 2/5, 0, 4/5, 
    1/5}, {0, 0, 0, 4/5, 3/5, 0, 1, 0, 0}, {0, 0, 3/5, 1/5, 0, 3/5, 0, 0, 
    2/5}, {0, 0, 0, 0, 2/5, 1, 1/5, 1/5, 0}, {0, 0, 0, 1/5, 0, 0, 0, 3/5, 
    1}}, {{2, 3, 3}, {3, 3, 3}}}, {{{0, 5/8, 5/8, 1/8, 1/8, 0, 3/4, 0, 0}, 
   {1/8, 0, 0, 0, 0, 5/8, 0, 0, 0}, {1/8, 0, 3/8, 0, 5/8, 0, 3/4, 0, 3/8}, 
   {0, 5/8, 1, 7/8, 0, 1/8, 0, 0, 3/8}, {1/2, 3/8, 0, 0, 5/8, 0, 3/8, 3/8, 
    0}, {1/2, 0, 3/8, 5/8, 0, 0, 3/8, 3/8, 0}, {7/8, 3/8, 0, 5/8, 0, 0, 0, 0, 
    3/8}, {0, 1/4, 5/8, 0, 7/8, 1/8, 0, 3/4, 3/8}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 1, 1/2, 1, 1/2, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 1/2, 1, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{3/5, 0, 0, 2/5, 0, 0, 3/5, 0}, 
   {0, 1, 2/5, 0, 2/5, 1/5, 0, 1/5}, {0, 2/5, 0, 2/5, 2/5, 0, 0, 2/5}, 
   {2/5, 0, 2/5, 0, 0, 0, 0, 2/5}, {0, 2/5, 2/5, 0, 0, 2/5, 2/5, 0}, 
   {0, 1/5, 0, 4/5, 2/5, 2/5, 3/5, 0}, {0, 1, 2/5, 2/5, 0, 0, 1/5, 2/5}, 
   {3/5, 0, 0, 0, 2/5, 3/5, 0, 1/5}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/3, 0, 0, 2/3, 0, 0, 0, 0, 1/3}, {0, 1/3, 1, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 1/3, 0, 0, 2/3, 0, 2/3, 1/3}, {0, 1/3, 1/3, 0, 2/3, 2/3, 0, 0, 
    1/3}, {1, 2/3, 0, 0, 0, 0, 1/3, 1/3, 0}, {0, 0, 2/3, 2/3, 0, 0, 2/3, 0, 
    0}, {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {2/3, 0, 2/3, 0, 2/3, 0, 0, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 1, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 1, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 2/3, 0, 0, 1}, {0, 0, 1/3, 0, 2/3, 0, 1, 2/3, 0}, 
   {2/3, 1/3, 0, 0, 0, 1/3, 0, 0, 1}, {0, 2/3, 2/3, 1/3, 0, 0, 0, 1/3, 1/3}, 
   {0, 1/3, 2/3, 0, 1/3, 0, 1/3, 0, 2/3}, {1/3, 0, 0, 1/3, 0, 1, 2/3, 1, 0}, 
   {0, 1/3, 0, 0, 1/3, 0, 0, 1/3, 2/3}, {2/3, 0, 0, 2/3, 1/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 1/3, 0, 2/3, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 1/2, 0, 1, 1/2, 0}, {1, 1, 0, 0, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1/2, 0, 1, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1}, {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 0, 1/3, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 0, 1/3, 2/3, 0, 0, 0}, {1/3, 0, 0, 1/3, 0, 0, 2/3, 2/3}, 
   {0, 1/3, 1/3, 0, 1, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 3/4, 0, 1/4, 1/4}, {1/4, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 3/4, 1/2, 0, 1/2, 1/2, 0, 1/4}, {1/4, 0, 1/4, 0, 1/4, 0, 0, 1, 
    1/2}, {0, 1/2, 0, 0, 1/4, 3/4, 1/4, 1/2, 0}, {1/2, 1/4, 0, 1/4, 0, 1/4, 
    0, 1/4, 3/4}, {0, 1/2, 1/4, 3/4, 1/2, 0, 0, 1/4, 0}, 
   {1/4, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 3/5, 0}, {0, 0, 0, 0, 0, 3/5, 0, 0, 0}, 
   {0, 3/5, 4/5, 2/5, 0, 1/5, 0, 1/5, 1/5}, {2/5, 2/5, 0, 1/5, 1, 0, 2/5, 0, 
    3/5}, {0, 0, 1/5, 0, 4/5, 2/5, 1, 3/5, 0}, {0, 0, 2/5, 2/5, 4/5, 0, 4/5, 
    0, 3/5}, {4/5, 1/5, 0, 4/5, 0, 2/5, 1/5, 0, 0}, 
   {3/5, 0, 2/5, 0, 2/5, 1/5, 0, 2/5, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 2/3, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 1/3, 0, 1, 0, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 1/3, 0, 0, 1}, {0, 2/3, 0, 0, 1, 0, 1/3, 1/3, 0}, 
   {2/3, 0, 0, 1/3, 0, 1/3, 1/3, 1, 0}, {0, 0, 0, 2/3, 1, 0, 0, 0, 1/3}, 
   {2/3, 2/3, 0, 0, 1, 0, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 1/3, 1, 0, 0}, 
   {0, 2/3, 1/3, 1/3, 0, 0, 1/3, 1/3}, {0, 0, 0, 2/3, 1/3, 1, 0, 0}, 
   {2/3, 0, 0, 0, 1/3, 0, 1, 1}, {0, 0, 1, 1, 0, 1/3, 0, 2/3}, 
   {0, 2/3, 1, 1/3, 0, 1/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1/3, 0, 1/3}, {1/3, 1/3, 0, 0, 0, 2/3, 2/3, 1, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, {1/3, 1, 0, 0, 0, 0, 1/3, 0, 1}, 
   {0, 2/3, 1/3, 0, 2/3, 0, 0, 1/3, 0}, {0, 0, 1/3, 0, 2/3, 2/3, 0, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/3, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1, 0, 2/3, 2/3, 0}, {2/3, 1/3, 0, 0, 1/3, 0, 0, 2/3, 2/3}, 
   {1/3, 0, 1, 1/3, 0, 1/3, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1/3, 0, 1, 0, 1, 2/3, 0, 0, 2/3}, {1/3, 0, 1, 0, 1/3, 0, 0, 2/3, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 0, 1, 1/2}, 
   {0, 1/2, 1, 1/2, 0, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, {1, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1, 0}, {1/2, 0, 0, 1, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/3, 0, 2/3, 0, 0, 1/3, 1/3, 0}, {0, 1/3, 0, 2/3, 0, 0, 2/3, 1/3}, 
   {1/3, 0, 0, 0, 2/3, 0, 0, 1/3}, {0, 1/3, 2/3, 0, 0, 1, 1/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 1, 0, 0, 2/3, 1/3}, {2/3, 0, 2/3, 1/3, 0, 0, 0, 1/3}, 
   {0, 2/3, 1/3, 0, 1/3, 1, 1, 0}, {0, 0, 2/3, 1, 0, 1, 1/3, 0}, 
   {2/3, 0, 0, 1/3, 0, 1/3, 1/3, 0}, {0, 2/3, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 2/3, 0, 0, 1/3, 1/3, 1/3, 0, 1/3}, 
   {0, 0, 2/3, 1/3, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1/3, 1, 1/3, 0, 1/3}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 2/3}, {2/3, 0, 2/3, 1, 0, 0, 1/3, 0, 1}, 
   {2/3, 2/3, 0, 0, 1/3, 1/3, 0, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/3, 2/3}, {0, 0, 0, 2/3, 0, 1, 0, 1/3, 0}, 
   {0, 2/3, 2/3, 1/3, 1/3, 0, 1, 0, 1/3}, {0, 0, 0, 1, 1/3, 0, 0, 1/3, 2/3}, 
   {2/3, 0, 0, 1/3, 1, 0, 2/3, 1/3, 0}, {0, 2/3, 0, 0, 0, 1/3, 1, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1/3, 0, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 1/3, 1, 0, 0, 1/3}, {2/3, 0, 1/3, 0, 0, 2/3, 0, 1/3}, 
   {0, 2/3, 1, 2/3, 0, 0, 0, 1/3}, {0, 0, 0, 1/3, 1/3, 1, 1, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1/2}, {0, 1, 1/2, 1/2, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, {1, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 0, 0, 1/3, 1/3, 1/3, 0}, 
   {0, 2/3, 0, 1/3, 1, 0, 0, 0, 1/3}, {0, 0, 2/3, 0, 0, 1, 1, 1/3, 0}, 
   {0, 0, 2/3, 1/3, 1/3, 0, 1/3, 1/3, 0}, {0, 0, 0, 0, 0, 1, 2/3, 0, 1/3}, 
   {2/3, 0, 0, 0, 0, 1, 0, 0, 1/3}, {2/3, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 2/3, 2/3}, {2/3, 2/3, 0, 2/3, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1, 2/3, 0, 0, 0, 0, 1/3}, {0, 1/3, 0, 0, 0, 0, 1/3, 1, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0, 2/3}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {1/3, 0, 1, 2/3, 0, 0, 1/3, 1, 0}, 
   {0, 1/3, 2/3, 0, 0, 0, 0, 2/3, 1/3}, {0, 1/3, 0, 0, 2/3, 0, 2/3, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/5, 0, 0, 0, 2/5, 4/5}, 
   {2/5, 0, 2/5, 0, 2/5, 0, 0, 0, 2/5}, {4/5, 0, 0, 0, 2/5, 4/5, 2/5, 0, 0}, 
   {0, 1, 3/5, 0, 3/5, 3/5, 0, 2/5, 0}, {1/5, 0, 0, 3/5, 0, 0, 2/5, 2/5, 0}, 
   {3/5, 0, 0, 1, 0, 2/5, 0, 0, 0}, {3/5, 0, 0, 0, 1, 3/5, 0, 0, 2/5}, 
   {0, 3/5, 3/5, 1/5, 0, 0, 2/5, 0, 0}, {0, 3/5, 1/5, 1/5, 2/5, 0, 2/5, 0, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/5, 1, 0, 0, 0, 0, 0, 1/5, 1/5}, 
   {0, 0, 1/5, 3/5, 0, 0, 2/5, 0, 0}, {0, 1, 4/5, 0, 0, 1/5, 1/5, 0, 4/5}, 
   {1/5, 0, 1, 0, 3/5, 4/5, 0, 2/5, 0}, {1, 1/5, 0, 2/5, 2/5, 0, 3/5, 2/5, 
    0}, {0, 4/5, 4/5, 1/5, 1/5, 0, 1/5, 4/5, 0}, {2/5, 0, 0, 0, 3/5, 2/5, 0, 
    0, 2/5}, {1, 0, 0, 0, 0, 2/5, 0, 0, 2/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {1/2, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 1/3, 0, 1/3, 0, 1/3, 1/3}, {0, 0, 0, 0, 1/3, 0, 1, 2/3, 0}, 
   {0, 0, 2/3, 0, 1/3, 2/3, 1/3, 0, 0}, {0, 0, 0, 1, 0, 1/3, 1/3, 0, 2/3}, 
   {0, 2/3, 0, 0, 1/3, 0, 0, 1/3, 1}, {2/3, 0, 2/3, 1, 0, 1, 1/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 1, 1, 0, 0, 0}, {1/2, 1, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 0, 1, 1, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 1, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1/2, 1, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1/2, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 0, 1, 1/3, 0, 1/3}, {0, 0, 1/3, 0, 0, 1, 2/3}, 
   {0, 0, 1/3, 0, 1, 0, 1/3}, {0, 2/3, 0, 1/3, 0, 1/3, 0}}, 
  {{2, 2, 2}, {2, 2, 3}}}, {{{1/5, 0, 0, 0, 3/5, 0, 0, 2/5}, 
   {0, 2/5, 0, 0, 0, 1/5, 1/5, 0}, {1/5, 0, 0, 3/5, 3/5, 1, 0, 0}, 
   {0, 2/5, 3/5, 0, 0, 0, 4/5, 4/5}, {4/5, 0, 0, 3/5, 0, 1, 0, 0}, 
   {4/5, 0, 0, 3/5, 0, 0, 1, 3/5}, {1/5, 0, 3/5, 0, 3/5, 3/5, 2/5, 0}, 
   {0, 2/5, 3/5, 0, 0, 4/5, 0, 1/5}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 1, 0, 1/3, 1, 0}, {2/3, 0, 1/3, 0, 1/3, 0, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 0, 0, 1}, {0, 0, 1/3, 0, 1, 1/3, 1/3, 0}, 
   {0, 0, 0, 1/3, 2/3, 0, 2/3, 1/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 1, 0, 1/2}, 
   {1, 1, 0, 0, 0, 1, 0, 1/2, 1/2}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 0, 1/3, 1/3, 2/3, 0, 0}, {0, 1/3, 0, 1, 1/3, 0, 0, 0}, 
   {1, 0, 1/3, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 2/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 2/3, 0, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 1/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 1/3, 1/3, 0, 0, 2/3, 0, 2/3}, 
   {1, 1/3, 0, 0, 1/3, 1, 0, 0, 0}, {2/3, 0, 1/3, 1/3, 0, 2/3, 0, 0, 0}, 
   {0, 1/3, 1, 0, 1/3, 1/3, 0, 0, 0}, {1/3, 0, 0, 1/3, 0, 0, 0, 2/3, 2/3}, 
   {1/3, 0, 0, 1, 2/3, 0, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 2/3, 0, 0, 2/3, 0, 1/3, 0}, 
   {2/3, 1/3, 0, 0, 0, 0, 2/3, 1/3, 0}, {1, 0, 1/3, 0, 0, 0, 1/3, 0, 1/3}, 
   {0, 1, 0, 0, 0, 0, 1/3, 0, 1}, {1/3, 0, 1, 0, 2/3, 2/3, 0, 1/3, 0}, 
   {1/3, 0, 1/3, 0, 0, 0, 0, 1, 2/3}, {0, 0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 2/3, 0, 2/3, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 1/3, 1/3, 0, 0}, 
   {0, 0, 0, 1/3, 1, 0, 0, 1/3, 1/3}, {0, 2/3, 2/3, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 1/3, 1/3, 0, 1/3, 0, 2/3}, {2/3, 0, 0, 0, 0, 1, 0, 1/3, 1/3}, 
   {0, 0, 2/3, 1, 1, 0, 1/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 3/7, 3/7, 0, 0, 3/7, 0}, {0, 6/7, 0, 0, 0, 3/7, 3/7, 0, 3/7}, 
   {0, 0, 2/7, 0, 2/7, 0, 4/7, 4/7, 0}, {4/7, 4/7, 0, 0, 2/7, 0, 0, 0, 2/7}, 
   {6/7, 0, 2/7, 4/7, 0, 4/7, 0, 0, 2/7}, {0, 0, 4/7, 0, 4/7, 3/7, 0, 3/7, 
    4/7}, {0, 0, 4/7, 3/7, 1/7, 0, 3/7, 0, 1}, {2/7, 2/7, 0, 2/7, 0, 5/7, 
    2/7, 5/7, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1, 1/3, 0, 0, 0, 0}, {1/3, 0, 1/3, 2/3, 0, 1/3, 0, 2/3, 0}, 
   {1, 0, 1/3, 0, 0, 1/3, 0, 2/3, 0}, {0, 2/3, 2/3, 0, 1/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 2/3, 2/3, 0, 2/3}, {0, 2/3, 0, 0, 1/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 1/3, 0, 2/3, 0, 0, 0}, {1, 0, 1, 1/3, 0, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1/3, 1, 0, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 4/7, 0, 0, 3/7, 0, 5/7, 5/7}, 
   {0, 0, 0, 5/7, 1/7, 0, 3/7, 0, 0}, {2/7, 4/7, 0, 0, 0, 4/7, 0, 2/7, 4/7}, 
   {2/7, 0, 0, 0, 4/7, 0, 4/7, 2/7, 0}, {0, 2/7, 2/7, 0, 4/7, 0, 2/7, 0, 
    2/7}, {2/7, 0, 0, 3/7, 3/7, 0, 0, 5/7, 1}, {2/7, 0, 0, 0, 4/7, 5/7, 3/7, 
    0, 2/7}, {0, 2/7, 2/7, 0, 0, 5/7, 5/7, 2/7, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, 
   {1/3, 1/3, 0, 1/3, 0, 2/3, 0, 2/3, 0}, {0, 0, 1/3, 0, 1/3, 1, 2/3, 0, 0}, 
   {1/3, 1, 0, 1/3, 0, 0, 0, 2/3, 2/3}, {0, 0, 1/3, 1/3, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 1/3, 1, 0, 0, 0, 0, 0}, {1/3, 1/3, 0, 0, 1/3, 1/3, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 
    0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 1, 0, 0, 1, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 
    1}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 2/3, 1/3, 0, 1/3}, {0, 1/3, 2/3, 0, 0, 0, 1/3, 0}, 
   {0, 2/3, 0, 2/3, 2/3, 0, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 2/3, 0, 2/3}, {0, 1/3, 0, 2/3, 0, 1/3, 0, 1/3}, 
   {1/3, 0, 0, 0, 0, 0, 1, 2/3}, {1/3, 0, 0, 2/3, 0, 0, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/4, 1/4, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/4, 0, 0, 0}, {0, 1, 3/4, 0, 0, 3/4, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 3/4, 0, 0, 1/4, 0, 1/4}, {0, 1, 0, 0, 0, 0, 0, 1/2, 3/4}, 
   {0, 1, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {1/4, 1/2, 0, 1/4, 1/4, 0, 3/4, 1/4, 
    0}, {1/2, 0, 1, 0, 3/4, 1/2, 0, 1/4, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1/2, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1, 1/2, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1}, {1, 0, 1/2, 1/2, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 2/3, 0, 0, 1, 0, 0}, {1, 0, 1/3, 0, 0, 2/3, 0, 1/3, 1/3}, 
   {0, 2/3, 2/3, 0, 0, 2/3, 0, 2/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 2/3, 2/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, {1, 0, 1/3, 2/3, 0, 0, 1/3, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 0, 1/3, 1/3}, {0, 1/3, 0, 0, 0, 0, 0, 1/3, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 4/5, 2/5, 0, 1, 0, 0, 0}, 
   {2/5, 0, 0, 1/5, 0, 0, 0, 3/5}, {0, 0, 0, 4/5, 1/5, 0, 2/5, 2/5}, 
   {0, 0, 2/5, 3/5, 0, 1/5, 3/5, 0}, {3/5, 0, 2/5, 0, 3/5, 4/5, 0, 0}, 
   {0, 2/5, 1/5, 2/5, 0, 2/5, 0, 0}, {1/5, 0, 1, 0, 4/5, 0, 4/5, 1/5}, 
   {1/5, 0, 0, 1/5, 2/5, 1, 3/5, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 1/2, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 0, 0, 0, 2/5, 0, 1/5, 1/5}, {1/5, 0, 3/5, 0, 4/5, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 2/5, 0, 0, 4/5, 4/5}, {4/5, 0, 4/5, 0, 0, 4/5, 2/5, 0, 0}, 
   {2/5, 0, 0, 2/5, 2/5, 0, 0, 4/5, 2/5}, {0, 3/5, 0, 2/5, 0, 0, 3/5, 0, 0}, 
   {3/5, 0, 3/5, 4/5, 0, 0, 0, 1/5, 3/5}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 1, 0, 1, 1/3, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {2/3, 0, 1/3, 1/3, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 0, 1, 0, 0, 1, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 1, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 1/3, 1, 0, 0, 0, 0}, 
   {1/3, 1/3, 0, 0, 0, 1/3, 2/3, 0, 0}, {0, 2/3, 1, 0, 0, 1, 0, 0, 2/3}, 
   {1, 1/3, 0, 1/3, 1/3, 0, 0, 2/3, 0}, {2/3, 0, 1/3, 2/3, 0, 1/3, 0, 2/3, 
    0}, {2/3, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 2/3, 2/3, 2/3, 0, 0, 0, 2/3, 
    0}, {2/3, 0, 0, 0, 0, 2/3, 0, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 2/3, 0, 0, 1/3, 1/3, 0}, {0, 1/3, 0, 2/3, 0, 0, 0, 1/3}, 
   {1, 0, 0, 2/3, 2/3, 0, 0, 1/3}, {1, 0, 0, 0, 0, 2/3, 0, 1}, 
   {0, 1, 2/3, 0, 0, 1/3, 1/3, 0}, {2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 2/3, 0, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 0, 0, 1/3, 1, 0}, 
   {1, 2/3, 0, 0, 0, 0, 0, 0, 1/3}, {1, 0, 0, 0, 0, 0, 2/3, 0, 1/3}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 2/3, 0, 0, 0}, {1, 0, 2/3, 0, 0, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 1, 0, 2/3, 0, 0, 0, 1}, {1/3, 0, 0, 0, 2/3, 2/3, 1, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 1/4, 0, 1/2, 0, 0, 1/2, 3/4}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/4, 0, 1}, {1/2, 0, 3/4, 1, 0, 1/4, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/4, 0, 1/4}, {1/4, 0, 0, 0, 3/4, 3/4, 3/4, 1/2, 
    0}, {1/4, 3/4, 0, 3/4, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/4, 0, 
    1/4}, {3/4, 0, 0, 0, 1/4, 3/4, 0, 1/2, 0}, {0, 0, 0, 0, 1/4, 0, 3/4, 1/2, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/3, 1/3, 0, 1, 2/3}, 
   {2/3, 0, 1/3, 0, 0, 1/3, 0, 1/3}, {2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 1/3, 0, 0, 0, 1/3, 0}, {0, 0, 0, 1/3, 1, 1, 0, 1/3}, 
   {0, 0, 1, 0, 2/3, 0, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 1/3, 0, 1/3, 1, 0}, {2/3, 0, 2/3, 0, 1, 1/3, 1, 0}, 
   {0, 2/3, 1/3, 1/3, 0, 0, 0, 1/3}, {2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 2/3, 0, 0, 2/3, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 1, 0, 1, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 1, 1/2, 0, 1, 0, 1/2, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 2/3, 1/3, 0, 0, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 1/3, 0, 0, 0}, {0, 1, 1, 0, 0, 1/3, 1, 0, 1/3}, 
   {0, 1/3, 1/3, 1, 1/3, 0, 0, 1/3, 0}, {1, 0, 0, 0, 2/3, 1/3, 0, 1, 0}, 
   {0, 1, 1/3, 0, 0, 2/3, 0, 1, 0}, {1/3, 0, 0, 2/3, 0, 0, 1/3, 0, 1/3}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 4/5, 4/5, 0, 0, 0, 2/5}, 
   {0, 0, 2/5, 0, 0, 2/5, 4/5, 4/5, 0}, {0, 1/5, 0, 0, 0, 4/5, 0, 0, 1}, 
   {4/5, 1/5, 0, 0, 0, 0, 0, 4/5, 1/5}, {3/5, 0, 3/5, 2/5, 0, 0, 1/5, 1/5, 
    0}, {0, 3/5, 4/5, 0, 2/5, 0, 1/5, 1/5, 0}, {0, 3/5, 0, 0, 0, 0, 1, 1/5, 
    2/5}, {1/5, 0, 1/5, 0, 0, 4/5, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/5, 0, 3/5, 1/5, 0, 3/5, 0}, {3/5, 0, 1, 0, 0, 1/5, 0, 0, 0}, 
   {1/5, 1/5, 0, 2/5, 2/5, 0, 0, 3/5, 0}, {0, 4/5, 1/5, 1, 2/5, 0, 0, 0, 
    3/5}, {2/5, 0, 0, 0, 0, 1/5, 3/5, 0, 3/5}, {2/5, 0, 3/5, 3/5, 0, 4/5, 0, 
    0, 0}, {0, 1, 0, 0, 0, 1/5, 3/5, 0, 0}, {4/5, 0, 4/5, 2/5, 1, 0, 0, 3/5, 
    0}, {0, 1, 0, 0, 0, 4/5, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 2/3, 0, 1, 0}, 
   {0, 1/3, 2/3, 0, 2/3, 1/3, 0, 1/3}, {1/3, 0, 0, 2/3, 0, 1, 0, 1/3}, 
   {0, 1/3, 2/3, 0, 0, 0, 1/3, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 2/3, 0, 2/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 1/3, 1/3, 0, 0, 2/3}, 
   {0, 1/3, 1, 0, 0, 2/3, 0, 0}, {0, 1/3, 0, 1/3, 1/3, 0, 2/3, 0}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 2/3, 0}, {1/3, 0, 1, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, {0, 2/3, 2/3, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 1/2, 0, 1, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 1, 0, 1/2}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, {1/2, 1/2, 0, 1, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 0, 2/3, 1/3, 2/3, 0}, {1/3, 0, 2/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {2/3, 1/3, 0, 1/3, 1/3, 0, 1/3, 0, 0}, {0, 0, 1/3, 1/3, 1/3, 0, 1/3, 0, 
    2/3}, {2/3, 2/3, 0, 0, 0, 1/3, 0, 2/3, 2/3}, {0, 1, 2/3, 1, 0, 1/3, 2/3, 
    0, 0}, {0, 1/3, 1/3, 0, 0, 0, 0, 1/3, 1}, {1, 0, 0, 0, 0, 2/3, 1/3, 0, 
    0}, {0, 0, 0, 0, 1, 0, 1/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 1, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1/2}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/3, 0, 0, 0, 0, 1, 1/3}, 
   {0, 1/3, 2/3, 0, 1/3, 0, 0}, {1/3, 0, 0, 2/3, 1/3, 0, 0}, 
   {0, 1, 2/3, 0, 0, 1, 1/3}, {0, 2/3, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1}, 
   {1/2, 1, 0, 1/2, 0, 1/2, 1, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 1, 0, 0, 1, 1/3}, {2/3, 0, 0, 0, 1/3, 1/3, 0, 0}, 
   {0, 2/3, 1/3, 1/3, 0, 1, 0, 0}, {0, 0, 2/3, 0, 1, 0, 1/3, 1/3}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 1, 1/2}, 
   {0, 1, 0, 0, 1, 0, 1/2, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1/2, 0, 1/2, 0, 1/3, 1/2}, {1/6, 1/2, 0, 2/3, 1/6, 0, 1/3, 0, 
    1/6}, {1/3, 0, 1/6, 0, 1/6, 0, 5/6, 1/2, 0}, {1/2, 0, 1/2, 1/6, 0, 0, 0, 
    0, 1/6}, {0, 1/6, 0, 0, 1/2, 1/2, 0, 0, 1/6}, 
   {0, 1/6, 0, 1/6, 0, 2/3, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/6, 0, 1/3, 
    2/3}, {0, 1/6, 1/6, 1/6, 1/6, 1/3, 1/3, 0, 1/3}, 
   {0, 5/6, 1/6, 1/2, 1/2, 0, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 1, 1/2, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {1, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 1/2, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 2/3, 2/3, 0, 0, 0}, {1, 0, 1, 0, 1/3, 0, 0, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 2/3, 0}, {1/3, 0, 0, 1/3, 0, 2/3, 0, 2/3}, 
   {0, 1/3, 1/3, 0, 1/3, 0, 0, 2/3}, {1, 0, 2/3, 1/3, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 1, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 
    1/2}, {1/2, 1, 1/2, 0, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 1, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/3, 0, 2/3, 1, 0}, 
   {1/3, 0, 2/3, 0, 0, 1/3, 0, 2/3, 0}, {1/3, 0, 0, 2/3, 0, 1, 2/3, 0, 0}, 
   {0, 0, 1/3, 0, 0, 1, 1/3, 1, 0}, {1, 0, 0, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {0, 0, 0, 1/3, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 2/3, 0, 1/3, 0, 0}, 
   {1/3, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 0, 2/3, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 1, 2/3, 0, 0}, 
   {0, 1/3, 1/3, 1/3, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 1, 2/3, 0, 1, 0, 0, 0}, {1/3, 0, 1/3, 1/3, 0, 0, 0, 2/3}, 
   {0, 1/3, 0, 0, 1/3, 0, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1/2, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{2/3, 0, 0, 1/3, 0, 0, 1/3, 1/3}, 
   {0, 0, 1/3, 0, 1, 1/3, 0, 0}, {0, 2/3, 0, 1, 0, 1/3, 0, 0}, 
   {2/3, 0, 1, 0, 1, 0, 1/3, 1/3}, {0, 0, 0, 1, 0, 1, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 2/3}, {0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1/2, 1, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/3, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1/3, 1, 0}, {0, 2/3, 0, 1, 0, 0, 0, 1/3}, 
   {0, 0, 0, 1, 0, 2/3, 0, 1/3}, {0, 0, 1/3, 0, 1/3, 1/3, 1, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1/3, 1/3, 0, 1, 0, 2/3, 2/3, 0}, 
   {1, 0, 0, 1, 0, 1, 2/3, 0, 0}, {0, 1, 1/3, 1, 0, 1/3, 0, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 0, 2/3, 0, 2/3}, {1, 0, 0, 0, 1/3, 0, 0, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 1/2, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 3/5, 2/5, 3/5, 0, 2/5, 0, 0}, 
   {4/5, 0, 4/5, 0, 1/5, 1/5, 0, 1/5, 4/5}, {0, 2/5, 0, 1, 0, 0, 1, 0, 3/5}, 
   {0, 0, 0, 0, 0, 3/5, 0, 0, 0}, {3/5, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 3/5, 0, 3/5}, {3/5, 4/5, 0, 0, 1, 1, 1/5, 0, 0}, 
   {0, 4/5, 0, 1/5, 0, 0, 0, 1, 2/5}, {2/5, 0, 2/5, 1/5, 0, 0, 4/5, 3/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1/2, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1/2, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 1, 0, 1, 1/2, 1, 0}, {1, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 3/4, 0, 0, 0, 3/4}, {0, 0, 0, 3/4, 0, 0, 3/4, 3/4, 0}, 
   {0, 0, 3/4, 3/4, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1/4, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1/4, 3/4, 0, 1/2, 1/4}, {0, 1/2, 0, 1/2, 0, 1/2, 1/4, 0, 
    1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, {3/4, 1/4, 0, 1, 0, 1/4, 0, 
    1/4, 1/2}, {0, 1, 0, 0, 1/2, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/7, 0, 1/7, 0, 0, 0, 2/7, 2/7, 0}, {0, 2/7, 0, 0, 3/7, 0, 0, 0, 1/7}, 
   {4/7, 1, 0, 3/7, 0, 2/7, 5/7, 0, 0}, {6/7, 0, 2/7, 1/7, 4/7, 0, 5/7, 0, 
    3/7}, {0, 3/7, 2/7, 0, 0, 5/7, 0, 1, 4/7}, {0, 4/7, 4/7, 0, 0, 1/7, 1, 0, 
    2/7}, {2/7, 0, 6/7, 3/7, 0, 4/7, 2/7, 1/7, 0}, 
   {2/7, 0, 0, 5/7, 2/7, 0, 0, 5/7, 4/7}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1, 1, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 2/3, 0, 2/3, 2/3, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 0, 1, 1, 2/3, 0}, {0, 0, 1, 1/3, 0, 0, 1/3, 1}, 
   {0, 2/3, 0, 2/3, 1/3, 1, 0, 0}, {2/3, 0, 1/3, 1/3, 0, 1/3, 0, 0}, 
   {0, 0, 1, 1/3, 0, 1/3, 0, 2/3}, {0, 0, 0, 2/3, 1/3, 0, 1, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 0, 1/3, 0, 1}, {0, 0, 1, 0, 1, 0, 1/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, {0, 0, 2/3, 2/3, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0}, {2/3, 0, 0, 1/3, 2/3, 0, 1/3, 0}, 
   {2/3, 0, 1/3, 0, 1/3, 1/3, 0, 1/3}, {0, 0, 0, 1, 0, 2/3, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/3, 0, 1/3, 0, 2/3, 0}, {1/3, 0, 1, 0, 1, 0, 0, 0, 2/3}, 
   {0, 1, 2/3, 0, 1/3, 2/3, 0, 0, 0}, {1/3, 0, 1, 1, 0, 1/3, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1/3, 0, 2/3, 0, 2/3}, {0, 0, 0, 2/3, 2/3, 0, 2/3, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 2/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 2/3, 0, 2/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 0, 1/3, 1/3, 1/3, 0}, {0, 1/3, 0, 1/3, 0, 1/3, 1, 0}, 
   {1, 0, 2/3, 1/3, 0, 0, 0, 1/3}, {0, 1/3, 2/3, 1/3, 0, 0, 0, 1}, 
   {1, 0, 0, 1/3, 0, 1/3, 1/3, 0}, {0, 1/3, 1, 0, 1, 1/3, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1/2, 0, 1, 1/2, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1, 1/2, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 0, 0, 1, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 2/3, 0, 0, 2/3, 1/3}, 
   {2/3, 0, 0, 0, 0, 0, 0, 1/3}, {0, 2/3, 0, 0, 1/3, 1/3, 0, 0}, 
   {0, 0, 1/3, 1/3, 0, 0, 1, 1/3}, {0, 0, 2/3, 0, 1, 1/3, 0, 2/3}, 
   {0, 0, 0, 0, 1/3, 2/3, 1, 0}, {0, 2/3, 0, 0, 1, 0, 1/3, 0}, 
   {0, 0, 1/3, 1, 0, 1, 0, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 0, 1/3, 0, 0, 2/3}, {0, 1/3, 0, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {0, 1/3, 2/3, 0, 0, 1/3, 0, 0, 0}, {0, 1/3, 0, 2/3, 0, 1/3, 2/3, 0, 2/3}, 
   {1/3, 0, 1, 1/3, 1/3, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 2/3, 0, 0, 1/3, 0}, {0, 1/3, 2/3, 0, 0, 1, 0, 1}, 
   {0, 1/3, 2/3, 0, 2/3, 0, 1/3, 0}, {1/3, 0, 0, 0, 0, 1/3, 0, 1}, 
   {0, 2/3, 0, 2/3, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 2/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 2/3, 0, 0, 1, 1}, {0, 1/3, 0, 2/3, 0, 2/3, 1/3, 0, 2/3}, 
   {0, 1, 2/3, 2/3, 0, 0, 1/3, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 0, 1/3, 1/3}, {1/3, 0, 1/3, 0, 2/3, 0, 1/3, 0, 0}, 
   {1, 0, 1/3, 0, 0, 0, 1/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 1, 1/2}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {1/2, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1/2, 1, 0}, {0, 1/2, 1, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 1, 0}, {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 0, 0, 1/2, 1, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1, 1, 0, 0, 0, 2/3}, {1, 0, 1/3, 0, 0, 1/3, 0, 0, 0}, 
   {0, 1, 2/3, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 2/3, 1/3, 0, 2/3, 0}, 
   {1/3, 0, 1/3, 1, 1/3, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1/3}, 
   {0, 1/3, 0, 1, 1/3, 1/3, 0, 1/3, 0}, {1, 0, 1, 0, 2/3, 0, 0, 1/3, 2/3}, 
   {1/3, 0, 1, 0, 0, 2/3, 1, 0, 1/3}, {0, 1, 0, 0, 0, 0, 0, 1, 2/3}, 
   {0, 1/3, 2/3, 2/3, 0, 0, 0, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1, 1/2, 1, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 1, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 1, 1, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1/3, 0, 0, 0}, {1/3, 0, 0, 1/3, 0, 2/3, 0, 2/3}, 
   {0, 1/3, 1, 0, 1/3, 2/3, 0, 0}, {0, 1/3, 0, 1, 2/3, 0, 0, 0}, 
   {1, 0, 1/3, 0, 1/3, 0, 0, 2/3}, {1/3, 0, 0, 1/3, 0, 1/3, 1/3, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 1/3, 0, 2/3, 0, 0}, {0, 1/3, 0, 0, 1/3, 2/3, 0, 0}, 
   {0, 1/3, 2/3, 0, 1/3, 0, 0, 0}, {1/3, 0, 1/3, 1/3, 0, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 2/3}, {2/3, 0, 0, 0, 2/3, 2/3, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 2/3, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1, 1}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 0, 1/4, 1/4, 0, 1/4, 1}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 3/4, 0, 1/4, 0}, 
   {0, 0, 1/4, 0, 1, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 1/2, 0}, {1/4, 0, 1/4, 1, 0, 1/2, 0, 1}, 
   {1/4, 0, 3/4, 0, 1/2, 0, 1, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 1, 0, 1}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 2/3, 0, 0, 1/3}, 
   {1, 1/3, 0, 2/3, 0, 0, 1/3, 1, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 1/3, 0, 0, 2/3, 1, 1, 0}, {1, 1, 0, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 0, 1, 2/3, 2/3, 0, 1/3, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 1/2, 0}, {0, 1, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 1/2, 0, 1/2, 1}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1}, 
   {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1, 1, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 1, 0, 1, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1/2, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {0, 1/3, 1/3, 1/3, 0, 0, 0, 0}, {0, 1/3, 2/3, 0, 1, 2/3, 0, 0}, 
   {0, 1, 2/3, 0, 1, 0, 0, 0}, {1/3, 0, 1/3, 1/3, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 3/4, 0, 1/2, 0, 0, 0, 1/4}, {1/4, 0, 0, 0, 1/2, 3/4, 1/4, 0}, 
   {0, 1, 3/4, 0, 3/4, 1/4, 0, 0}, {1, 0, 0, 1/4, 0, 0, 1/4, 3/4}, 
   {3/4, 1/4, 1/2, 3/4, 0, 1/4, 0, 0}, {0, 1/4, 0, 3/4, 0, 0, 1/4, 0}, 
   {1/4, 0, 1/2, 1/4, 0, 1/4, 0, 1/4}, {3/4, 0, 1/4, 0, 1/4, 0, 1/4, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 3/5, 3/5, 0, 0}, {3/5, 0, 0, 0, 0, 0, 3/5}, 
   {0, 1, 0, 2/5, 0, 0, 1}, {1/5, 0, 4/5, 0, 1/5, 1/5, 0}, 
   {0, 1/5, 0, 1/5, 2/5, 1, 0}, {1, 0, 0, 4/5, 0, 0, 1/5}, 
   {0, 4/5, 1, 0, 0, 0, 1/5}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 6/7, 3/7, 2/7, 0, 4/7, 0, 1/7, 0}, {2/7, 0, 1/7, 0, 2/7, 6/7, 4/7, 
    5/7, 0}, {5/7, 3/7, 0, 2/7, 4/7, 0, 1, 0, 1}, 
   {0, 0, 0, 4/7, 4/7, 0, 0, 0, 0}, {4/7, 0, 0, 0, 4/7, 0, 0, 0, 4/7}, 
   {4/7, 0, 0, 0, 0, 0, 4/7, 0, 4/7}, {3/7, 1/7, 0, 2/7, 0, 0, 0, 1, 0}, 
   {2/7, 0, 3/7, 2/7, 0, 4/7, 1/7, 0, 1/7}, {0, 2/7, 5/7, 0, 2/7, 2/7, 1/7, 
    0, 1/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{3/5, 0, 3/5, 0, 2/5, 0, 0, 2/5}, {0, 3/5, 0, 1/5, 3/5, 2/5, 0, 0}, 
   {0, 0, 0, 2/5, 0, 0, 2/5, 4/5}, {2/5, 0, 2/5, 0, 2/5, 0, 0, 0}, 
   {0, 0, 4/5, 0, 0, 2/5, 2/5, 0}, {0, 1, 3/5, 0, 0, 0, 2/5, 4/5}, 
   {3/5, 0, 0, 1, 1/5, 2/5, 0, 0}, {1/5, 0, 0, 3/5, 1/5, 2/5, 2/5, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0, 1}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/9, 5/9, 1/3, 0, 7/9, 0, 0, 0}, 
   {7/9, 0, 0, 0, 1/3, 0, 2/3, 4/9, 0}, {1/3, 0, 2/9, 0, 1/9, 4/9, 0, 4/9, 
    0}, {5/9, 0, 0, 0, 4/9, 1/3, 4/9, 2/9, 0}, {0, 1/3, 1/3, 1/9, 1, 0, 0, 
    2/9, 0}, {7/9, 2/9, 0, 2/9, 0, 5/9, 2/9, 0, 2/9}, 
   {0, 0, 0, 1/3, 2/3, 0, 2/9, 0, 2/3}, {0, 4/9, 4/9, 5/9, 0, 2/9, 0, 2/9, 
    0}, {2/9, 2/9, 0, 1/3, 4/9, 0, 0, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 2/3, 0, 2/3}, 
   {0, 2/3, 0, 1/3, 2/3, 0, 0, 1/3}, {0, 0, 2/3, 1, 0, 2/3, 0, 1}, 
   {0, 0, 1, 0, 1, 1/3, 1, 0}, {2/3, 0, 0, 1/3, 0, 1/3, 1/3, 0}, 
   {0, 0, 1/3, 0, 1/3, 2/3, 0, 1/3}, {0, 0, 1, 0, 1/3, 0, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/4, 3/4, 0, 1/2, 3/4, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1, 1/4}, {0, 3/4, 0, 1, 0, 3/4, 1/2, 0, 0}, 
   {0, 1/4, 1/2, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 1, 0, 0, 3/4, 1/2, 1/4, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 1, 0, 1, 1/4, 0, 0, 1/4}, 
   {1/2, 1/4, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1, 0, 1/2, 1/2, 0, 0, 0, 0, 1/4}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 0, 1, 0, 1}, {0, 0, 1/2, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, {0, 1, 1/2, 0, 1/2, 0, 0, 1, 1/2}, 
   {1, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 2/3, 0, 1/3, 1/3, 0}, {1/3, 0, 0, 0, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 2/3, 2/3, 1/3, 1/3, 0}, {0, 1/3, 2/3, 0, 0, 0, 2/3, 1/3}, 
   {0, 1, 2/3, 2/3, 0, 0, 0, 1/3}, {2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, {0, 2/3, 0, 2/3, 2/3, 0, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 1/2, 1, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 2/3, 0, 0, 1/3, 1, 0, 0, 0}, {0, 1/3, 1/3, 1/3, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 2/3, 0, 0}, 
   {1, 2/3, 0, 1, 0, 2/3, 0, 0, 0}, {1/3, 0, 0, 1, 0, 0, 2/3, 0, 2/3}, 
   {0, 1/3, 1, 0, 1/3, 1/3, 0, 0, 2/3}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 1, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1}, 
   {1, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 1, 1/2}, {0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 1, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 1, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 2/3, 0, 1/3, 1/3, 0}, {0, 1, 0, 0, 0, 2/3, 0, 0, 1/3}, 
   {1, 0, 1/3, 0, 0, 0, 1, 1/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 2/3, 2/3, 0, 0, 0, 2/3}, {0, 0, 2/3, 2/3, 0, 0, 2/3, 2/3, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1/3, 0, 1, 0}, 
   {2/3, 0, 0, 1, 0, 1, 0, 1/3}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 1, 0, 1/3, 1, 0, 1/3}, 
   {0, 0, 0, 1, 2/3, 0, 1, 0}, {2/3, 0, 2/3, 1, 0, 0, 1/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, {1, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, {1/2, 0, 1, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 2/3, 0, 0, 0, 1/3, 1}, 
   {1, 0, 0, 0, 2/3, 1, 0, 0}, {0, 2/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 1/3, 0, 0, 0}, {1, 0, 0, 0, 1/3, 0, 1, 1}, 
   {0, 1, 0, 0, 1/3, 1, 0, 0}, {1/3, 0, 1, 1/3, 0, 1/3, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 3/5, 3/5, 0, 0, 3/5, 3/10, 0, 0}, 
   {0, 3/5, 0, 0, 0, 0, 9/10, 0, 3/5}, {3/5, 0, 3/10, 0, 3/5, 0, 0, 3/5, 0}, 
   {0, 4/5, 7/10, 0, 4/5, 2/5, 0, 3/10, 0}, {4/5, 1/10, 0, 7/10, 0, 1/2, 0, 
    9/10, 0}, {1/10, 0, 4/5, 1/5, 2/5, 0, 3/5, 0, 3/10}, 
   {7/10, 1/5, 0, 0, 1/10, 1/5, 0, 0, 3/10}, {0, 7/10, 1/5, 1, 1/5, 0, 0, 
    9/10, 0}, {1/2, 0, 1/10, 1/5, 0, 2/5, 3/10, 0, 3/10}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1/2, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, {0, 0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 1, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 1/3, 0, 0, 0, 1/3, 0, 1/3}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 1, 0, 0, 0, 2/3, 1, 0}, 
   {0, 1/3, 2/3, 2/3, 0, 0, 1/3, 0}, {1, 0, 0, 2/3, 0, 1/3, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1/3, 1, 0, 0, 2/3, 0}, {1/3, 0, 1, 2/3, 0, 1, 2/3, 0, 0}, 
   {0, 1/3, 0, 0, 0, 1/3, 0, 0, 2/3}, {1/3, 0, 1/3, 1/3, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/3, 0, 0, 0}, {2/3, 0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 1, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 0, 1, 0, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/4, 0, 0, 0, 0, 0}, 
   {1/4, 0, 1/4, 0, 1/2, 1/2, 0, 0, 3/4}, {0, 0, 3/4, 0, 0, 1/4, 3/4, 1/2, 
    0}, {0, 0, 3/4, 1/2, 1/2, 0, 1/4, 0, 1/4}, {3/4, 0, 0, 3/4, 0, 1, 0, 1/2, 
    0}, {0, 1/4, 3/4, 0, 1/4, 3/4, 0, 1/4, 3/4}, {1/2, 0, 1/2, 1/2, 0, 1/2, 
    1/2, 0, 1/2}, {3/4, 1/4, 0, 0, 1, 0, 0, 1/4, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 1/3, 0, 1, 0, 0, 1/3}, {0, 0, 2/3, 1, 0, 1, 1/3, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/3, 2/3, 2/3, 0, 1/3}, {2/3, 0, 2/3, 1/3, 0, 0, 0, 1}, 
   {0, 0, 1/3, 0, 1, 1/3, 1/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 1, 0, 0, 2/3, 0, 0}, {1/3, 0, 0, 1/3, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 0, 1/3, 1/3, 0, 0, 2/3}, {1/3, 0, 1/3, 0, 0, 0, 0, 2/3}, 
   {1, 0, 1, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 2/3, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 1/2, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 1, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 1}, {1/2, 0, 1, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1, 1/2}, {1, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 1, 0, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 0, 0, 1/2, 1/2, 1, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1, 1, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 1/2, 1}, {1, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1, 1/2, 1/2, 0, 0, 1/2, 0, 
    1/2}, {0, 1/2, 0, 0, 0, 1, 1, 1/2, 0}, {1, 0, 1, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1/2}, {1, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 1/2, 1, 0, 0}, {1, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 1/2, 1/2, 1/2, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1/2, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 
    1/2}, {0, 1/2, 1, 1/2, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0, 1}, {1/2, 1/2, 0, 1, 1, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1, 1/2, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1/2}, {0, 1, 1, 0, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 1, 0, 1/3, 1/3, 0, 1}, 
   {0, 2/3, 0, 0, 1/3, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0, 0}, {2/3, 0, 0, 1/3, 0, 1/3, 2/3, 1, 0}, 
   {2/3, 0, 0, 2/3, 1/3, 0, 1/3, 2/3, 1/3}, {0, 2/3, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 2/3, 1/3, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 0, 0}, {0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 1, 0, 1/3, 1, 1/3, 0}, {0, 0, 0, 1/3, 0, 2/3, 0, 1}, 
   {2/3, 0, 0, 1, 1/3, 1/3, 1/3, 0}, {0, 2/3, 1/3, 0, 0, 2/3, 0, 1/3}, 
   {2/3, 0, 1/3, 0, 0, 0, 2/3, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 1, 0, 1, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1, 1/2}, {1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1, 1, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1, 1, 1/2, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1}, {1/2, 1, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 0, 0, 1, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 2/3, 0, 2/3, 0, 1, 1/3}, {2/3, 1/3, 0, 0, 0, 2/3, 1/3, 2/3, 
    0}, {0, 1, 0, 0, 0, 0, 1, 0, 2/3}, {0, 1/3, 0, 0, 2/3, 0, 0, 1, 1/3}, 
   {1, 0, 1/3, 2/3, 2/3, 0, 1/3, 0, 0}, {1, 0, 1/3, 0, 0, 0, 1, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 4/7, 0, 5/7, 1/7, 0, 0, 3/7}, 
   {4/7, 0, 1, 0, 0, 1/7, 1/7, 0}, {0, 4/7, 2/7, 2/7, 0, 0, 6/7, 2/7}, 
   {0, 0, 0, 0, 6/7, 2/7, 0, 0}, {4/7, 0, 0, 1, 1/7, 1/7, 3/7, 0}, 
   {0, 0, 1, 6/7, 0, 6/7, 0, 1/7}, {0, 4/7, 5/7, 0, 6/7, 0, 2/7, 3/7}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0}, {0, 1/3, 0, 1/3, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0}, {1/3, 2/3, 2/3, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 1, 0, 2/3, 0, 2/3}, {0, 1, 1/3, 0, 1/3, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 3/5, 0, 3/5, 0}, {3/5, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 2/5, 3/5, 1, 0, 1/5, 0, 2/5, 1}, {1/5, 0, 1/5, 0, 4/5, 1, 4/5, 0, 0}, 
   {0, 1, 0, 1/5, 1, 0, 4/5, 0, 0}, {2/5, 0, 1, 1, 1/5, 0, 2/5, 0, 0}, 
   {0, 1/5, 0, 0, 1, 1/5, 0, 4/5, 4/5}, {0, 1/5, 0, 4/5, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/3, 0, 0, 0, 0, 0}, {1/3, 1/3, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/3, 1, 0}, {0, 2/3, 0, 0, 1/3, 2/3, 0, 1/3, 1/3}, 
   {2/3, 1, 0, 0, 0, 1, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1/3, 1, 0, 1, 1/3, 0, 0, 0, 0}, {2/3, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1/3, 1, 0, 1, 0, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 1, 0, 1, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1, 0, 1, 0}, {1/2, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 1, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1, 1/2}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 2/5, 3/5, 1/5, 1/5, 0, 0, 2/5, 3/5}, {1/5, 0, 1/5, 0, 0, 2/5, 3/5, 
    2/5, 0}, {3/5, 2/5, 0, 0, 0, 1, 1/5, 0, 1/5}, 
   {2/5, 0, 1, 2/5, 0, 1/5, 0, 0, 2/5}, {3/5, 1/5, 0, 1/5, 1, 0, 0, 0, 2/5}, 
   {0, 1/5, 0, 0, 4/5, 2/5, 4/5, 1/5, 0}, {0, 0, 3/5, 0, 2/5, 2/5, 0, 1/5, 
    4/5}, {0, 0, 0, 4/5, 3/5, 0, 2/5, 0, 0}, {0, 3/5, 0, 4/5, 0, 0, 2/5, 0, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 0, 0, 1/5, 1/5, 0, 0, 3/5}, {0, 1/5, 2/5, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 4/5, 3/5, 1, 0}, {3/5, 0, 0, 0, 4/5, 0, 2/5, 0}, 
   {0, 0, 2/5, 1, 0, 1/5, 0, 4/5}, {0, 2/5, 1/5, 0, 1, 2/5, 0, 1}, 
   {0, 1, 0, 2/5, 4/5, 0, 1/5, 3/5}, {1/5, 0, 2/5, 4/5, 0, 3/5, 4/5, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {1/3, 0, 0, 1/3, 1/3, 0, 0, 0, 0}, {1/3, 0, 1/3, 0, 1/3, 1, 0, 2/3, 0}, 
   {0, 1/3, 2/3, 1/3, 0, 0, 2/3, 0, 2/3}, {0, 1/3, 0, 1/3, 2/3, 0, 2/3, 0, 
    0}, {0, 0, 1/3, 2/3, 1/3, 0, 0, 2/3, 2/3}, {0, 0, 1/3, 0, 1/3, 2/3, 2/3, 
    0, 2/3}, {1/3, 1/3, 0, 1/3, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1/2}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 1/3, 1, 1, 2/3, 0}, {0, 2/3, 0, 2/3, 1/3, 1/3, 1/3, 0, 2/3}, 
   {0, 0, 0, 1, 2/3, 0, 0, 1/3, 1}, {0, 0, 0, 1, 0, 0, 1, 2/3, 0}, 
   {0, 0, 2/3, 1, 0, 2/3, 1/3, 0, 0}, {0, 0, 0, 0, 1/3, 1, 0, 1/3, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 3/4, 0, 0, 1/4, 0, 1, 0}, {1/4, 0, 3/4, 3/4, 0, 0, 0, 0}, 
   {0, 0, 0, 1/4, 3/4, 3/4, 0, 1/4}, {1/2, 0, 1/4, 0, 0, 0, 1/4, 0}, 
   {0, 3/4, 0, 1/4, 0, 1/4, 0, 3/4}, {1/4, 0, 1/4, 0, 3/4, 1/4, 0, 1/4}, 
   {3/4, 0, 0, 1/4, 1, 0, 1/4, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 0, 1/2, 1, 1, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, {1, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 2/3, 0, 1/3, 1}, 
   {1, 0, 2/3, 0, 0, 1/3, 0, 0}, {0, 1, 0, 0, 0, 1, 2/3, 0}, 
   {1, 0, 0, 0, 0, 0, 1/3, 1}, {0, 1, 2/3, 0, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1, 0, 1/2, 1}, 
   {1/2, 0, 0, 1, 0, 1/2, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 1/2, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1/2, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1, 0, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1, 1, 0, 1/2, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 1, 1/2, 0}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1/4, 0, 0, 0, 1/2, 0}, {1/4, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1, 1/4, 0, 3/4, 1/4, 0, 1/4}, {0, 0, 0, 0, 0, 3/4, 3/4, 0, 0}, 
   {3/4, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 3/4, 0, 3/4}, 
   {0, 1/2, 1, 0, 1/4, 1/4, 0, 1/4, 3/4}, {1/4, 0, 1/2, 1/2, 3/4, 0, 0, 1/4, 
    0}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 1, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 1/2, 1/2, 1, 1, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 2/5, 0, 0, 0, 2/5, 2/5}, 
   {0, 0, 4/5, 0, 2/5, 2/5, 2/5, 0, 0}, {0, 3/5, 3/5, 0, 3/5, 1/5, 0, 2/5, 
    0}, {1/5, 4/5, 0, 1/5, 0, 2/5, 2/5, 0, 2/5}, {1/5, 0, 0, 3/5, 2/5, 0, 0, 
    2/5, 0}, {0, 1/5, 1/5, 3/5, 2/5, 0, 4/5, 0, 2/5}, 
   {0, 1/5, 1/5, 1, 0, 2/5, 2/5, 2/5, 0}, {3/5, 0, 0, 0, 3/5, 1, 0, 0, 2/5}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/5, 0, 2/5, 0, 1, 1/5, 0, 1/5, 0}, 
   {0, 0, 0, 0, 3/5, 3/5, 2/5, 3/5, 0}, {0, 2/5, 0, 3/5, 0, 0, 3/5, 0, 3/5}, 
   {2/5, 2/5, 0, 0, 1/5, 1/5, 1/5, 0, 1/5}, {0, 0, 2/5, 3/5, 0, 4/5, 0, 3/5, 
    2/5}, {0, 4/5, 2/5, 3/5, 0, 0, 0, 3/5, 0}, {0, 2/5, 2/5, 0, 2/5, 2/5, 0, 
    0, 2/5}, {2/5, 0, 0, 4/5, 0, 0, 0, 4/5, 0}, {2/5, 0, 4/5, 2/5, 0, 0, 0, 
    0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/3, 1/3, 0, 1/3}, {0, 0, 0, 0, 1/3, 2/3, 0, 1, 2/3}, 
   {2/3, 0, 0, 0, 1/3, 2/3, 0, 1/3, 0}, {0, 2/3, 2/3, 0, 1, 0, 1/3, 0, 1/3}, 
   {0, 2/3, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1/3, 0, 1, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 2/3, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1/2}, {1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {1, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1, 0, 1}, {0, 1/2, 0, 1, 1/2, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 2/3, 0, 1/3, 1/3, 0}, {0, 1/3, 0, 0, 2/3, 0, 0, 1}, 
   {0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 1/3, 0, 0, 0, 1, 1, 0}, {1/3, 0, 2/3, 2/3, 0, 0, 0, 1/3}, 
   {1, 0, 0, 0, 0, 2/3, 0, 1/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 1/2, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1, 1, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 1/3, 0, 1/3, 0, 2/3}, {2/3, 2/3, 0, 1/3, 0, 1/3, 0, 1/3, 
    1/3}, {0, 0, 2/3, 0, 1, 0, 1/3, 2/3, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 2/3, 
    0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 1/3, 2/3, 0, 1/3, 1/3}, {0, 0, 0, 1/3, 0, 1/3, 1/3, 0, 
    2/3}, {0, 0, 0, 1, 0, 1, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1, 0, 1, 1/3}, 
   {2/3, 0, 1/3, 1/3, 0, 1/3, 0, 0}, {0, 2/3, 2/3, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 2/3, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 1/3, 1/3, 0, 0, 1/3, 1/3}, {0, 0, 0, 0, 1/3, 1/3, 0, 2/3}, 
   {0, 0, 0, 2/3, 1/3, 1/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 2/3, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1/3, 1, 0, 1/3}, 
   {2/3, 0, 1/3, 0, 1/3, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1/3}, 
   {0, 0, 1, 0, 1/3, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/3, 1/3, 1/3, 0}, {0, 0, 1/3, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 0, 2/3, 1/3, 0, 2/3, 1/3}, {2/3, 0, 1/3, 1/3, 0, 1/3, 1, 0}, 
   {0, 2/3, 0, 0, 1/3, 0, 0, 1}, {0, 2/3, 2/3, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, {2/3, 0, 2/3, 0, 2/3, 0, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 1, 1}, {1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 1, 1, 0, 0}, {0, 0, 1, 1/3, 0, 0, 1, 1}, 
   {0, 0, 1, 1/3, 0, 1/3, 0, 0}, {0, 0, 0, 2/3, 1/3, 0, 1/3, 1}, 
   {2/3, 0, 0, 0, 1/3, 0, 1/3, 1/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 2/3, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1/3, 2/3, 0, 0, 1, 1/3, 0}, 
   {0, 1, 0, 0, 0, 2/3, 0, 0, 1/3}, {0, 1, 0, 2/3, 2/3, 0, 1/3, 1/3, 0}, 
   {1, 0, 1, 0, 0, 2/3, 0, 0, 1}, {2/3, 1, 0, 2/3, 0, 0, 1/3, 1/3, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 1, 0, 2/3, 2/3}, {1/3, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1/3, 0, 2/3, 0, 0}, {0, 1, 1/3, 0, 1/3, 0, 2/3, 0}, 
   {1/3, 0, 2/3, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 1/2}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1}, {0, 1/2, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/11, 0, 0, 8/11, 8/11, 0, 2/11, 0, 0}, 
   {0, 10/11, 6/11, 0, 0, 0, 0, 2/11, 2/11}, {2/11, 0, 8/11, 4/11, 0, 0, 
    6/11, 0, 8/11}, {0, 6/11, 6/11, 2/11, 9/11, 0, 5/11, 0, 5/11}, 
   {6/11, 0, 0, 1/11, 0, 1, 0, 3/11, 0}, {6/11, 0, 0, 0, 3/11, 6/11, 1/11, 0, 
    5/11}, {0, 8/11, 0, 7/11, 0, 9/11, 5/11, 0, 3/11}, 
   {4/11, 0, 4/11, 0, 5/11, 2/11, 0, 7/11, 2/11}, 
   {4/11, 0, 0, 2/11, 3/11, 0, 2/11, 5/11, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 1/2}, {1, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 1, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 1, 0, 1, 0, 0, 0}, 
   {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 1/2, 0}, 
   {1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 1/2, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 
    1/2}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 3/5, 3/5, 0, 3/5, 0}, 
   {3/5, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 3/5, 4/5, 1, 1/5, 0, 0, 1/5, 1/5}, 
   {2/5, 1, 0, 1/5, 0, 1, 2/5, 0, 0}, {0, 0, 1/5, 0, 1, 4/5, 1, 0, 0}, 
   {0, 3/5, 2/5, 0, 1/5, 2/5, 0, 2/5, 1}, {0, 0, 1, 1, 0, 1/5, 1/5, 0, 0}, 
   {1/5, 1/5, 0, 4/5, 1, 0, 1/5, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/4, 3/4, 0, 1/4, 3/4, 0, 1/2, 0}, {0, 0, 3/4, 0, 1/4, 0, 3/4, 1/2, 
    0}, {0, 0, 0, 1/2, 0, 1/2, 1/4, 0, 1}, {0, 0, 0, 1/4, 0, 0, 0, 1/2, 3/4}, 
   {3/4, 0, 0, 1/4, 0, 3/4, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/4, 0, 1}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/4, 0, 1/4}, {0, 3/4, 0, 0, 0, 1/4, 3/4, 1/2, 0}, 
   {3/4, 0, 0, 0, 3/4, 1/4, 0, 1/2, 3/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/5, 0, 0, 0, 4/5}, 
   {4/5, 2/5, 0, 0, 0, 0, 0, 0, 0}, {2/5, 2/5, 0, 0, 0, 1, 0, 3/5, 0}, 
   {0, 4/5, 0, 1, 3/5, 0, 1, 0, 1}, {0, 0, 4/5, 2/5, 0, 1/5, 4/5, 3/5, 0}, 
   {0, 0, 2/5, 0, 0, 1, 3/5, 0, 3/5}, {0, 2/5, 0, 1, 1, 0, 0, 1, 0}, 
   {4/5, 0, 4/5, 3/5, 1/5, 0, 0, 1/5, 2/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 1, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 1, 1, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1}, {1, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 3/4, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 3/4, 3/4, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 1, 0}, {0, 1/4, 3/4, 0, 0, 1/4, 0, 1/4}, 
   {0, 1, 0, 3/4, 0, 0, 1/4, 3/4}, {1/4, 0, 0, 3/4, 0, 1, 0, 1/2}, 
   {1/4, 0, 1/2, 0, 1/2, 1/2, 3/4, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1, 1/2, 1, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 1, 1/2, 1, 0}, {1, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 1}, {1/2, 1, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 4/5, 0, 1, 0, 0, 0, 3/5}, {4/5, 0, 0, 3/5, 0, 1/5, 1/5, 1/5, 0}, 
   {4/5, 0, 0, 2/5, 1/5, 0, 2/5, 0, 1/5}, {0, 4/5, 0, 3/5, 0, 3/5, 0, 0, 
    1/5}, {0, 0, 2/5, 0, 3/5, 0, 3/5, 3/5, 0}, {0, 2/5, 0, 1/5, 0, 1/5, 0, 
    2/5, 1/5}, {0, 2/5, 4/5, 2/5, 0, 2/5, 2/5, 0, 0}, 
   {4/5, 2/5, 0, 0, 4/5, 2/5, 0, 0, 0}, {0, 0, 4/5, 2/5, 0, 2/5, 2/5, 0, 
    2/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 1/3, 0, 0, 1/3, 1/3}, {0, 2/3, 0, 1/3, 1, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 1, 1}, {2/3, 0, 1/3, 0, 1/3, 0, 0}, 
   {0, 0, 1, 0, 1/3, 2/3, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 1, 0, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 0, 0, 2/3, 0, 2/3, 1, 0}, {0, 1, 1/3, 0, 0, 0, 1, 0, 1/3}, 
   {1/3, 2/3, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 1/3, 0, 2/3, 2/3, 0, 0, 1, 0}, 
   {1, 0, 1/3, 0, 0, 0, 1/3, 0, 1}, {2/3, 1/3, 0, 2/3, 0, 0, 2/3, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/9, 0, 7/9, 1/9, 0, 1/9, 1, 0}, {8/9, 2/9, 0, 0, 2/9, 5/9, 0, 0, 
    7/9}, {2/9, 0, 2/9, 2/9, 0, 7/9, 4/9, 0, 1/3}, 
   {0, 2/9, 2/3, 0, 0, 0, 8/9, 0, 2/9}, {0, 2/9, 2/3, 0, 0, 8/9, 0, 0, 2/9}, 
   {2/9, 0, 0, 0, 8/9, 0, 2/3, 2/9, 0}, {0, 4/9, 2/9, 0, 2/3, 7/9, 1/9, 5/9, 
    0}, {2/3, 2/9, 0, 2/9, 0, 1, 1/9, 5/9, 0}, {0, 0, 2/9, 5/9, 7/9, 0, 0, 0, 
    7/9}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 2/3, 0, 0, 1/3, 0, 0}, {0, 0, 1/3, 0, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {2/3, 1, 0, 0, 1, 0, 1/3, 0, 1/3}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1/3, 0, 2/3, 0, 0, 2/3, 1}, 
   {2/3, 1, 0, 1/3, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/4, 0, 0, 3/4, 0, 0, 3/8, 3/8}, {3/8, 0, 0, 0, 0, 0, 3/4, 0, 0}, 
   {0, 0, 0, 3/8, 0, 3/8, 3/4, 0, 0}, {0, 1/2, 5/8, 0, 3/8, 0, 7/8, 0, 5/8}, 
   {5/8, 0, 1/8, 0, 3/8, 0, 1/4, 1/2, 0}, {7/8, 1/4, 0, 0, 0, 3/8, 0, 1, 
    1/8}, {1/8, 0, 1, 0, 0, 0, 0, 1/2, 1}, {5/8, 1/8, 0, 3/4, 0, 3/8, 1/4, 0, 
    7/8}, {0, 1, 7/8, 0, 0, 0, 1/8, 5/8, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/3, 0, 2/3, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 0, 0, 1/3, 2/3, 0, 1/3, 1/3, 0}, {0, 1, 0, 1/3, 0, 1/3, 2/3, 0, 2/3}, 
   {0, 1, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 1/3, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 2/3, 0, 0, 1/3, 0, 1/3}, {0, 2/3, 0, 0, 1/3, 0, 2/3, 0, 1}, 
   {2/3, 0, 1/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 1/3, 1, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 2/3, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1/3, 0, 1/3}, {2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0}, {0, 2/3, 2/3, 2/3, 0, 0, 2/3, 0}, 
   {0, 1/3, 2/3, 0, 2/3, 0, 1/3, 0}, {0, 1, 0, 0, 2/3, 0, 1/3, 0}, 
   {1/3, 0, 2/3, 0, 0, 1, 0, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 2/3, 0, 1/3, 0, 1}, 
   {1, 0, 2/3, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 1, 2/3, 0, 0, 0, 1, 0}, {1/3, 0, 0, 2/3, 2/3, 1/3, 0, 1/3}, 
   {1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 4/5, 0, 1/5}, {0, 1/5, 3/5, 0, 0, 0, 2/5, 0}, 
   {2/5, 0, 0, 3/5, 0, 0, 1/5, 4/5}, {0, 1/5, 0, 0, 3/5, 1, 0, 3/5}, 
   {0, 1/5, 3/5, 3/5, 0, 2/5, 3/5, 0}, {2/5, 0, 0, 0, 3/5, 1/5, 4/5, 0}, 
   {0, 4/5, 0, 3/5, 0, 3/5, 0, 1}, {0, 1/5, 0, 0, 3/5, 0, 3/5, 2/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 4/7, 0, 0}, 
   {4/7, 0, 0, 4/7, 0, 0, 0, 0}, {0, 1, 0, 1/7, 3/7, 0, 4/7, 6/7}, 
   {1/7, 0, 5/7, 6/7, 0, 2/7, 6/7, 0}, {5/7, 0, 1, 0, 2/7, 0, 0, 2/7}, 
   {0, 5/7, 1/7, 0, 6/7, 2/7, 2/7, 0}, {3/7, 0, 0, 3/7, 5/7, 0, 4/7, 2/7}, 
   {0, 5/7, 3/7, 2/7, 0, 0, 0, 6/7}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 1, 1}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 1/4, 0, 1/2}, {0, 1, 1, 0, 1/4, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1/4, 0, 0}, {0, 0, 1/4, 1/4, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1, 1/4, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1/4, 0, 1}, 
   {1, 0, 1/2, 0, 0, 3/4, 1/2, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1/3, 0, 0, 0, 1, 0, 0, 2/3}, 
   {0, 1/3, 1/3, 1, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 1, 0, 0, 1, 0, 2/3, 0}, 
   {0, 1/3, 0, 0, 1, 2/3, 2/3, 0}, {1/3, 0, 1, 1, 0, 0, 0, 2/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 1, 0, 1, 0, 0, 0, 1/2, 1}, {1/2, 1, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/3, 1, 0, 1/3, 1}, 
   {0, 2/3, 0, 1, 0, 0, 1/3, 0, 0}, {0, 0, 2/3, 1, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 2/3, 1, 1, 1/3, 0}, {0, 0, 0, 0, 1/3, 2/3, 0, 1/3, 0}, 
   {2/3, 0, 0, 0, 1/3, 0, 0, 1/3, 0}, {2/3, 0, 0, 1/3, 0, 1/3, 1/3, 0, 1/3}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, {1, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {1, 0, 0, 1/2, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 1, 0, 1/3, 1/3}, 
   {2/3, 0, 0, 1/3, 0, 0, 1/3, 0, 0}, {0, 0, 2/3, 0, 2/3, 2/3, 0, 0, 2/3}, 
   {0, 2/3, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/3, 1/3}, {2/3, 0, 0, 0, 1/3, 1/3, 1/3, 2/3, 0}, 
   {0, 0, 0, 1/3, 0, 0, 2/3, 1/3, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, {1, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 2/3, 2/3, 1/3, 0, 0}, {1/3, 0, 1, 0, 0, 0, 0, 1/3, 1}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 2/3, 0, 0, 0, 1/3, 1/3}, {1/3, 0, 1/3, 2/3, 2/3, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1, 1/2, 1, 0, 1/2, 0, 1}, {1, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1}, {1/2, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 0, 1, 1}, 
   {1/2, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 1, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/3, 0, 1/3, 0, 0, 0, 2/3, 0}, {0, 0, 1/3, 0, 1, 1/3, 0, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 2/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 1/3, 1/3, 2/3, 0, 0, 0, 0}, 
   {1, 1/3, 0, 0, 1, 1/3, 0, 2/3, 0}, {0, 0, 1/3, 1, 0, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {1/3, 0, 1/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 0, 1/3, 1/3, 0, 0, 2/3, 0}, {1/3, 0, 1/3, 2/3, 0, 1/3, 0, 0, 0}, 
   {0, 1/3, 0, 0, 0, 1/3, 2/3, 0, 2/3}, {0, 1/3, 2/3, 2/3, 0, 1, 0, 0, 0}, 
   {1/3, 0, 1, 1, 1/3, 0, 0, 2/3, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0}, {1/3, 0, 2/3, 0, 0, 0, 1/3}, 
   {0, 1/3, 0, 2/3, 0, 0, 1/3}, {1/3, 0, 0, 0, 1/3, 1, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3}, {2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/2, 0, 1, 1}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 1, 1/2, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{3/4, 1/2, 0, 0, 1/4, 1, 0, 0, 1/2}, {1/4, 0, 1, 1/2, 3/4, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/4, 1, 0}, {3/4, 1/4, 0, 3/4, 3/4, 0, 0, 0, 1/2}, 
   {0, 1/4, 3/4, 0, 0, 3/4, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1/4, 1/4, 0}, 
   {0, 3/4, 0, 1/4, 0, 0, 3/4, 0, 1/2}, {3/4, 0, 0, 1/4, 0, 3/4, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/4, 1/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {1, 0, 1/3, 0, 1, 0, 0, 2/3}, 
   {0, 1/3, 0, 1/3, 0, 0, 2/3, 0}, {1, 0, 0, 1/3, 2/3, 0, 2/3, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 2/3}, {0, 1, 1/3, 0, 1/3, 2/3, 0, 2/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 1, 1/2, 1, 0, 1, 0, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 1, 1/2, 0, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 1, 0, 0, 1, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 1, 0, 1/2, 1/2, 0}, {1, 0, 1, 0, 0, 1, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 0, 1, 1/3, 0, 0, 0, 0}, {0, 1/3, 1, 1/3, 1/3, 0, 2/3, 0, 0}, 
   {1, 0, 0, 0, 2/3, 1, 0, 0, 0}, {1/3, 0, 0, 0, 0, 1, 2/3, 0, 2/3}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/3, 1/3, 1, 0}, {0, 2/3, 1/3, 0, 0, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {2/3, 0, 0, 1/3, 1/3, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1}, {1, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 
    0}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {1/2, 1, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1/3, 1/3, 0, 0, 2/3}, 
   {0, 0, 1, 1, 0, 0, 2/3, 0, 0}, {0, 2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 1/3, 0, 1, 1, 0, 0, 0}, {1, 1/3, 0, 1/3, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 1/3, 0, 1, 1/3, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 1/2, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 0, 1, 1, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 2/3, 1, 1, 2/3, 0, 0, 0, 2/3}, 
   {1, 1/3, 0, 0, 1/3, 1/3, 0, 2/3, 0}, {2/3, 0, 1/3, 1/3, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 1/3, 0, 1/3, 1, 0, 0, 0}, {1/3, 1, 0, 1/3, 0, 0, 2/3, 2/3, 0}, 
   {1, 1/3, 0, 1/3, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1/2, 1/2, 0, 1, 0, 1, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 0, 2/3, 1, 0, 0}, {0, 2/3, 0, 1, 0, 0, 0, 1, 1/3}, 
   {1, 0, 0, 0, 0, 2/3, 0, 1/3, 1/3}, {1/3, 0, 0, 2/3, 0, 0, 1/3, 2/3, 0}, 
   {0, 0, 1, 0, 1/3, 1/3, 0, 2/3, 2/3}, {1/3, 0, 0, 2/3, 2/3, 0, 1/3, 0, 0}, 
   {0, 0, 0, 1/3, 0, 0, 2/3, 0, 2/3}, {1/3, 0, 2/3, 0, 2/3, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 2/3, 2/3, 0, 1/3, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 2/3, 0, 1/3, 2/3, 0, 0}, {1/3, 0, 0, 1/3, 1/3, 0, 0, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 2/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0, 2/3}, {1, 2/3, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 0, 0, 0, 1/3, 0, 2/3, 2/3}, {0, 1/3, 1, 1/3, 1, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 1/3, 0, 0, 2/3}, {1/3, 0, 1/3, 1, 0, 2/3, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 0, 2/3, 2/3}, {1/3, 0, 2/3, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 1/3, 0, 2/3, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 2/3, 2/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 3/4, 1, 1/4, 0, 3/4, 1/4, 0, 3/4}, 
   {3/4, 0, 1/4, 1, 3/4, 0, 1/4, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 
    1/2}, {0, 1/2, 1/2, 0, 3/4, 0, 0, 1/4, 1/4}, {1/4, 0, 0, 0, 0, 3/4, 1/2, 
    0, 0}, {1/4, 0, 3/4, 0, 0, 0, 1/2, 0, 3/4}, {0, 1/4, 0, 1/2, 0, 0, 0, 
    3/4, 0}, {1/2, 0, 1/2, 0, 1/4, 1, 0, 0, 0}, {3/4, 1, 0, 1/2, 0, 0, 0, 0, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 1, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 1, 0, 1, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, {1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1, 0}, {1/2, 0, 1, 1, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/5, 3/5, 3/5, 0, 3/5, 0, 0}, {2/5, 2/5, 0, 0, 0, 1, 0, 1/5, 1/5}, 
   {0, 2/5, 2/5, 0, 0, 4/5, 2/5, 2/5, 0}, {2/5, 0, 0, 0, 4/5, 0, 0, 0, 2/5}, 
   {2/5, 0, 2/5, 0, 0, 3/5, 3/5, 2/5, 0}, {0, 2/5, 4/5, 0, 0, 3/5, 1/5, 0, 
    2/5}, {0, 2/5, 0, 1, 1/5, 0, 0, 3/5, 1/5}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1, 0, 0, 0, 1, 2/3, 0}, 
   {0, 1, 0, 0, 0, 2/3, 0, 1/3, 1/3}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {2/3, 1, 0, 0, 0, 0, 1/3, 0, 0}, {1/3, 0, 1/3, 0, 0, 0, 0, 1/3, 1}, 
   {0, 1/3, 0, 2/3, 0, 0, 1/3, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1/3, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 2/3, 1/3, 0, 2/3, 1/3}, 
   {0, 2/3, 0, 1/3, 1/3, 0, 1/3, 1, 0}, {0, 2/3, 0, 0, 0, 1, 0, 0, 1/3}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, {0, 0, 0, 2/3, 1, 0, 2/3, 0, 1}, 
   {0, 0, 2/3, 1/3, 0, 1, 1/3, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 1, 0, 1, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 2/3, 0, 2/3}, {0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 2/3, 0, 0, 0, 1/3, 2/3}, {0, 1/3, 0, 2/3, 0, 1, 0, 1}, 
   {1/3, 0, 2/3, 0, 2/3, 0, 1/3, 0}, {1, 0, 0, 0, 0, 1, 0, 1/3}, 
   {0, 1/3, 0, 0, 2/3, 0, 1/3, 0}, {1/3, 0, 0, 0, 2/3, 1/3, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 1, 0, 0, 0, 2/3}, {0, 1/3, 0, 1, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 2/3, 2/3, 0}, {0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 2/3}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1}, 
   {0, 1/2, 0, 1, 1/2, 0, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 3/5, 0}, {3/5, 0, 3/5, 2/5, 0, 0, 0, 0, 1}, 
   {3/5, 0, 1/5, 4/5, 0, 0, 0, 0, 1}, {2/5, 4/5, 0, 0, 0, 2/5, 0, 0, 2/5}, 
   {0, 0, 0, 0, 2/5, 2/5, 0, 2/5, 2/5}, {2/5, 0, 2/5, 0, 0, 0, 0, 4/5, 0}, 
   {0, 1, 4/5, 0, 0, 0, 0, 0, 3/5}, {3/5, 0, 3/5, 0, 0, 0, 1, 1/5, 0}, 
   {0, 3/5, 0, 0, 4/5, 2/5, 0, 2/5, 3/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {1/3, 0, 0, 1, 0, 2/3, 1, 0}, {0, 1/3, 1/3, 2/3, 1/3, 0, 1/3, 0}, 
   {1/3, 0, 1, 0, 1, 1, 0, 1}, {1/3, 0, 1/3, 0, 1, 0, 1, 0}, 
   {1/3, 0, 0, 1, 0, 1/3, 0, 1}, {0, 1/3, 0, 1/3, 2/3, 2/3, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {1, 1/2, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 2/3, 0, 1, 1/3}, 
   {1/3, 0, 2/3, 0, 1/3, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 1/3}, 
   {0, 2/3, 0, 0, 0, 2/3, 1/3}, {0, 1/3, 0, 0, 1, 0, 1/3}, 
   {1, 0, 0, 0, 0, 1/3, 0}, {0, 1/3, 2/3, 0, 1/3, 0, 1/3}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {1, 0, 1, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 1, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1, 1/2, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 1, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 1/3, 0, 1/3, 1/3, 0, 1}, {0, 2/3, 0, 1/3, 0, 2/3, 1/3, 0}, 
   {2/3, 0, 0, 1/3, 2/3, 0, 1/3, 2/3}, {2/3, 0, 1/3, 0, 1/3, 2/3, 1, 0}, 
   {0, 0, 1, 2/3, 1/3, 0, 1/3, 0}, {0, 2/3, 0, 1/3, 0, 1/3, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/7, 1/7, 0, 1, 0, 0, 0, 4/7, 4/7}, 
   {0, 0, 1, 0, 5/7, 5/7, 0, 0, 0}, {0, 0, 4/7, 1/7, 2/7, 0, 3/7, 2/7, 0}, 
   {4/7, 0, 0, 0, 5/7, 1, 0, 3/7, 1/7}, {0, 0, 0, 3/7, 0, 2/7, 5/7, 0, 2/7}, 
   {0, 0, 1/7, 6/7, 0, 2/7, 1/7, 2/7, 0}, {3/7, 1, 0, 0, 2/7, 0, 0, 1/7, 
    3/7}, {0, 0, 1/7, 4/7, 2/7, 0, 3/7, 0, 2/7}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 1, 2/3, 1/3, 0, 0, 0}, {0, 1, 0, 1, 0, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 0, 1/3, 0, 2/3, 2/3}, {0, 1/3, 1, 0, 1, 2/3, 0, 0}, 
   {1/3, 0, 2/3, 1, 0, 0, 2/3, 0}, {1, 0, 0, 1/3, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 1, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/8, 1/8, 0, 3/4, 0, 1, 5/8, 0}, {5/8, 3/8, 0, 3/8, 0, 0, 0, 0, 1/8}, 
   {5/8, 0, 0, 3/8, 0, 0, 0, 3/8, 1/8}, {0, 5/8, 5/8, 0, 0, 1/4, 0, 1/8, 
    1/4}, {1/8, 0, 0, 1/8, 7/8, 0, 7/8, 1, 0}, {1/8, 0, 3/8, 0, 0, 5/8, 1/4, 
    0, 7/8}, {0, 3/8, 0, 0, 3/8, 1/8, 0, 1/4, 3/4}, 
   {0, 0, 0, 3/4, 0, 7/8, 3/4, 5/8, 0}, {0, 0, 0, 1/4, 5/8, 0, 1/8, 0, 7/8}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 1/3, 0, 0}, {1/3, 0, 0, 0, 0, 1/3, 1/3}, 
   {2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 1, 0, 2/3, 0, 1/3, 1/3}, {0, 1/3, 0, 0, 2/3, 1/3, 1}, 
   {1/3, 0, 2/3, 0, 1, 0, 2/3}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 3/4, 0, 0}, {1/2, 1/2, 0, 0, 1, 1/4, 0, 0, 3/4}, 
   {0, 0, 1, 1/2, 0, 3/4, 0, 0, 0}, {0, 1/4, 1/4, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 3/4, 1/4, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/4, 3/4, 0}, 
   {0, 1/2, 1/4, 0, 1/2, 1/2, 1/2, 3/4, 0}, {1/4, 0, 1/2, 1/4, 3/4, 0, 0, 
    1/4, 1}, {1/2, 1, 0, 1, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{4/7, 4/7, 0, 0, 6/7, 6/7, 2/7, 0, 6/7}, {0, 0, 0, 6/7, 0, 0, 0, 6/7, 0}, 
   {0, 4/7, 4/7, 1/7, 1, 0, 0, 1/7, 1}, {0, 0, 0, 0, 6/7, 1, 1/7, 6/7, 0}, 
   {0, 0, 0, 6/7, 0, 1/7, 1, 0, 6/7}, {0, 0, 0, 1/7, 1/7, 0, 1, 0, 0}, 
   {0, 0, 4/7, 0, 0, 1, 0, 1/7, 1/7}, {4/7, 0, 0, 1/7, 1/7, 0, 3/7, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 2/3, 2/3, 2/3, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, {0, 1/3, 0, 0, 2/3, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 0, 1/3, 1, 0}, {1/3, 0, 0, 0, 2/3, 0, 2/3, 1/3}, 
   {1, 0, 0, 0, 0, 2/3, 0, 1/3}, {0, 1/3, 2/3, 0, 0, 1/3, 1/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/5, 1/5, 0, 4/5, 4/5, 1/5, 1/5, 0}, 
   {1, 0, 0, 2/5, 0, 0, 0, 0, 1}, {2/5, 0, 0, 2/5, 3/5, 0, 3/5, 0, 2/5}, 
   {0, 0, 0, 0, 0, 0, 3/5, 3/5, 0}, {0, 0, 3/5, 0, 0, 0, 0, 3/5, 0}, 
   {3/5, 0, 3/5, 0, 3/5, 0, 0, 0, 0}, {1/5, 0, 0, 4/5, 0, 3/5, 1, 2/5, 0}, 
   {0, 1, 2/5, 4/5, 0, 0, 0, 0, 1/5}, {4/5, 3/5, 0, 0, 2/5, 2/5, 0, 0, 4/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 1}, {1, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 1, 1/2, 0}, {0, 0, 1, 0, 1/2, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 4/5, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 4/5, 2/5, 0, 0}, {1/5, 0, 0, 2/5, 0, 2/5, 1/5, 0}, 
   {3/5, 0, 2/5, 2/5, 0, 0, 1/5, 0}, {0, 1/5, 0, 0, 0, 1, 0, 3/5}, 
   {2/5, 1/5, 0, 0, 0, 0, 3/5, 4/5}, {0, 1/5, 2/5, 0, 2/5, 0, 1, 2/5}, 
   {1, 0, 4/5, 4/5, 0, 1/5, 0, 1/5}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 1}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 2/3, 0, 0, 2/3, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 0, 1/3, 1/3, 0, 1}, {0, 0, 0, 0, 2/3, 1/3, 1/3, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 1/3, 0, 0, 1/3, 0}, {2/3, 2/3, 0, 0, 0, 1/3, 0, 1, 0}, 
   {0, 0, 2/3, 1/3, 1/3, 0, 1, 0, 1}, {0, 2/3, 0, 2/3, 0, 1/3, 2/3, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 1, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 1, 0, 1/3, 0, 0, 0, 0}, {0, 1/3, 2/3, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 1, 0, 1/3, 0, 0, 2/3}, {1, 0, 0, 1, 2/3, 0, 0, 0}, 
   {1/3, 0, 0, 1, 0, 0, 2/3, 2/3}, {0, 1/3, 1, 0, 1, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 1, 1/3}, {0, 0, 0, 0, 2/3, 1/3, 0, 1/3, 0}, 
   {1/3, 1/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 1/3, 2/3, 0, 2/3, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 1, 0, 0}, {2/3, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 2/3, 1, 1/3, 0, 0, 1, 0, 0}, {1/3, 1, 0, 0, 2/3, 0, 0, 1, 1}, 
   {2/3, 0, 1/3, 2/3, 0, 2/3, 1/3, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 1/3, 0}, {0, 0, 0, 2/3, 0, 2/3, 1/3, 0}, 
   {0, 0, 1/3, 2/3, 0, 1/3, 0, 2/3}, {0, 2/3, 0, 1/3, 1/3, 0, 1/3, 1}, 
   {0, 0, 1, 0, 2/3, 1, 2/3, 0}, {0, 0, 1/3, 0, 2/3, 0, 0, 1}, 
   {0, 0, 0, 1, 1/3, 1/3, 1/3, 0}, {0, 2/3, 1/3, 0, 0, 0, 2/3, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 0, 0, 0, 2/3, 2/3}, {0, 1, 1/3, 0, 1/3, 0, 0, 0, 0}, 
   {0, 2/3, 1/3, 1/3, 0, 0, 0, 2/3, 1/3}, {1/3, 0, 0, 0, 1/3, 0, 2/3, 0, 0}, 
   {1/3, 2/3, 0, 0, 1/3, 0, 0, 0, 0}, {2/3, 0, 2/3, 0, 1/3, 1/3, 0, 0, 0}, 
   {1/3, 0, 1/3, 1/3, 0, 1/3, 1/3, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 2/3, 0, 
    1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/3, 1/3, 2/3, 0, 1/3, 1/3, 0}, 
   {1/3, 1/3, 0, 1/3, 0, 0, 2/3, 0, 1/3}, {0, 0, 1/3, 0, 1, 1/3, 0, 2/3, 
    1/3}, {0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 0, 1/3, 1/3, 0, 2/3, 0, 0, 1/3}, 
   {2/3, 0, 1/3, 2/3, 1/3, 1/3, 1/3, 1/3, 0}, {1/3, 1/3, 0, 0, 1/3, 1/3, 0, 
    0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1, 1/2}, {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 1, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 1, 0, 1/3, 1/3}, {2/3, 0, 1/3, 0, 0, 1/3, 0, 0}, 
   {2/3, 0, 0, 1/3, 1/3, 1, 0, 1/3}, {0, 0, 1, 0, 2/3, 0, 1/3, 0}, 
   {0, 2/3, 1/3, 0, 0, 0, 1/3, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 1/3}, 
   {2/3, 0, 0, 2/3, 0, 0, 2/3, 1/3}, {0, 0, 2/3, 2/3, 0, 0, 2/3, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 2/5, 0, 0, 4/5, 4/5, 0, 0, 0}, 
   {0, 0, 1/5, 2/5, 0, 0, 3/5, 0, 0}, {0, 0, 1/5, 0, 0, 1, 3/5, 3/5, 0}, 
   {2/5, 2/5, 0, 1/5, 4/5, 0, 0, 0, 3/5}, {0, 3/5, 1/5, 0, 0, 1, 0, 3/5, 0}, 
   {0, 0, 1/5, 3/5, 1, 0, 0, 3/5, 0}, {0, 0, 4/5, 0, 2/5, 3/5, 0, 0, 3/5}, 
   {2/5, 2/5, 0, 4/5, 0, 4/5, 0, 0, 3/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1/2}, {0, 0, 1, 1/2, 1/2, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1, 1, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 1, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 0, 0, 0, 0, 2/3}, {0, 1/3, 0, 1, 1/3, 0, 0, 0}, 
   {1/3, 0, 1/3, 2/3, 0, 0, 0, 2/3}, {1/3, 0, 1/3, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 2/3, 2/3, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 1, 0, 0, 1, 1/2}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/5, 0, 4/5, 0, 0, 3/5}, {4/5, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 2/5, 0, 1/5, 1/5, 3/5, 3/5, 0}, {1/5, 0, 2/5, 0, 0, 0, 3/5, 0}, 
   {4/5, 0, 1, 0, 0, 0, 0, 0}, {1/5, 0, 0, 0, 1, 3/5, 0, 3/5}, 
   {4/5, 0, 3/5, 0, 1, 0, 0, 0}, {0, 1, 1/5, 4/5, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/5, 0, 0, 2/5, 0, 2/5, 0}, 
   {2/5, 0, 4/5, 0, 4/5, 2/5, 0, 0}, {2/5, 0, 2/5, 1/5, 0, 1/5, 0, 0}, 
   {0, 0, 0, 3/5, 0, 3/5, 0, 2/5}, {0, 0, 3/5, 0, 1/5, 0, 3/5, 1/5}, 
   {0, 0, 2/5, 3/5, 0, 2/5, 1/5, 1/5}, {0, 4/5, 3/5, 0, 1/5, 1, 0, 4/5}, 
   {2/5, 0, 0, 3/5, 0, 0, 1/5, 1/5}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 1, 1/2, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 1, 0, 0}, {0, 1, 1/2, 0, 1, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1, 0, 1/2, 0, 0, 1/2}, 
   {1, 1, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1, 0, 1, 1, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 1, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 
    1/2}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/4, 0, 1/4, 1/4, 0, 1/4, 1/4, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/4, 1/2, 0, 1/4, 1/2}, {0, 3/4, 1/2, 0, 1/4, 1/4, 1/2, 0}, 
   {0, 3/4, 1/4, 1/2, 0, 1/2, 0, 1/4}, {0, 1/4, 0, 1/2, 1/2, 1, 3/4, 0}, 
   {0, 1/4, 1, 3/4, 0, 0, 1/2, 1/2}, {1/2, 0, 1/4, 0, 0, 1/4, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 3/4, 0, 0, 0}, 
   {3/4, 1/2, 0, 1/4, 0, 0, 3/4, 0, 0}, {1, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {1, 0, 1/4, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 3/4, 0}, 
   {0, 1/2, 3/4, 0, 1, 0, 0, 0, 0}, {0, 1/2, 3/4, 0, 0, 1/4, 0, 0, 0}, 
   {1/4, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 3/4, 1/4, 0, 0, 3/4}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 2/3, 0, 1/3, 0, 0}, 
   {0, 1/3, 0, 0, 0, 0, 1/3, 1/3}, {2/3, 0, 0, 2/3, 2/3, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {1, 0, 2/3, 0, 0, 0, 1/3, 1/3}, {1/3, 0, 1/3, 1/3, 1/3, 1/3, 0, 2/3}, 
   {0, 1, 0, 2/3, 2/3, 1/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 0, 0, 0, 2/3}, {1/3, 0, 0, 1, 1/3, 0, 0, 0}, 
   {0, 1, 0, 1/3, 1/3, 2/3, 0, 0}, {1, 0, 1, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, {0, 2/3, 2/3, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 2/3, 2/3, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 2/3, 0, 0, 0, 1/3}, {1, 1/3, 0, 0, 0, 0, 1, 1/3, 0}, 
   {0, 0, 1, 2/3, 0, 2/3, 1/3, 1/3, 0}, {1/3, 1/3, 0, 0, 0, 0, 2/3, 2/3, 1}, 
   {1/3, 1/3, 0, 0, 0, 2/3, 0, 2/3, 1}, {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1/3, 0, 0, 0}, {0, 1/3, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {0, 1, 0, 0, 1/3, 2/3, 0, 2/3}, {1, 0, 1/3, 1, 0, 0, 2/3, 0}, 
   {0, 1/3, 2/3, 2/3, 1/3, 0, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 2/3, 0, 0, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 3/5, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 3/5, 3/5, 0, 3/5}, 
   {1/5, 2/5, 0, 3/5, 3/5, 0, 1/5, 0, 2/5}, {1, 0, 1/5, 0, 3/5, 0, 0, 2/5, 
    1/5}, {0, 1/5, 2/5, 0, 0, 0, 1, 4/5, 0}, {1/5, 0, 2/5, 3/5, 0, 3/5, 2/5, 
    0, 4/5}, {1, 4/5, 0, 0, 0, 0, 1/5, 2/5, 0}, {0, 1, 1/5, 0, 0, 3/5, 0, 
    1/5, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 2/3, 1/3, 0, 1/3, 1/3}, {2/3, 2/3, 0, 2/3, 0, 1/3, 0, 1/3, 
    1}, {0, 2/3, 2/3, 1/3, 1/3, 0, 1/3, 0, 0}, {0, 0, 2/3, 1/3, 1/3, 0, 0, 
    1/3, 1}, {0, 0, 0, 0, 0, 1/3, 1/3, 0, 2/3}, {2/3, 0, 0, 0, 0, 1/3, 1/3, 
    0, 0}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 2/3, 0}, {2/3, 2/3, 0, 0, 2/3, 0, 0, 
    0, 0}, {0, 0, 0, 2/3, 0, 0, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 1, 0, 1/3, 1}, {2/3, 0, 1/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1/3}, {0, 2/3, 0, 1/3, 1/3, 1, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 2/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/5, 2/5, 0, 0, 3/5, 0, 0}, {1, 0, 0, 4/5, 1/5, 0, 0, 0}, 
   {0, 4/5, 0, 0, 1, 0, 0, 3/5}, {2/5, 0, 4/5, 1/5, 0, 0, 3/5, 0}, 
   {0, 1/5, 0, 2/5, 3/5, 0, 3/5, 0}, {1, 0, 1/5, 0, 4/5, 0, 0, 3/5}, 
   {0, 1/5, 3/5, 1, 0, 3/5, 0, 3/5}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 1}, {0, 1, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1, 1}, {1/2, 0, 0, 1, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 1, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 0, 2/3, 0, 1, 2/3}, {2/3, 1/3, 0, 0, 0, 0, 0, 1, 0}, 
   {1/3, 0, 1/3, 2/3, 0, 0, 1/3, 0, 1/3}, {1/3, 0, 1/3, 0, 0, 0, 2/3, 1/3, 
    0}, {1/3, 0, 1/3, 2/3, 2/3, 0, 0, 1/3, 0}, {0, 1/3, 0, 0, 0, 0, 1, 0, 
    1/3}, {0, 2/3, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3, 
    2/3}, {0, 0, 0, 0, 2/3, 2/3, 0, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 1/2, 0, 0, 1, 1/2, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 2/3, 0, 0, 0, 1/3}, {1/3, 0, 0, 0, 0, 1, 1/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 2/3, 1/3, 0}, {0, 0, 1/3, 1/3, 1, 1/3, 0, 1/3}, 
   {0, 0, 2/3, 0, 0, 0, 1, 2/3}, {0, 1/3, 1/3, 1/3, 1, 0, 1/3, 1/3}, 
   {0, 1/3, 2/3, 0, 0, 1, 0, 0}, {1/3, 0, 0, 0, 2/3, 0, 1/3, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 1/2, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1/2, 1/2, 0, 0, 1, 1/2, 1/2, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1/2, 0, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 5/6, 1/3, 0, 0, 1/2}, 
   {2/3, 0, 1/2, 0, 1/6, 5/6, 1/6, 0}, {1/2, 0, 0, 1/3, 1/6, 1/2, 0, 0}, 
   {0, 1/6, 1, 0, 1/2, 0, 1/6, 1/6}, {0, 1/6, 1/2, 1/6, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/6, 1/6, 0, 1/2, 0}, {1/6, 0, 1/2, 0, 0, 0, 1/2, 2/3}, 
   {0, 1/2, 1/2, 0, 2/3, 1/6, 0, 1/6}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 3/5, 1/5, 0, 0, 0, 0, 2/5}, 
   {0, 3/5, 0, 0, 2/5, 2/5, 1/5, 1/5, 0}, {0, 0, 2/5, 0, 0, 0, 4/5, 0, 3/5}, 
   {4/5, 4/5, 0, 0, 0, 0, 0, 2/5, 2/5}, {3/5, 0, 2/5, 0, 0, 3/5, 4/5, 0, 0}, 
   {0, 0, 1/5, 2/5, 3/5, 0, 1/5, 1, 0}, {1, 1, 0, 2/5, 0, 0, 2/5, 0, 1/5}, 
   {0, 0, 4/5, 0, 1/5, 1/5, 0, 4/5, 2/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 1, 0}, {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 
    0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 
    1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 
    1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1, 0, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1, 0, 1, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 1, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 1/3, 0, 0, 1/3}, {2/3, 0, 0, 1/3, 1, 0, 1/3, 1, 0}, 
   {0, 0, 0, 1/3, 1, 0, 2/3, 0, 1/3}, {2/3, 0, 0, 0, 0, 1/3, 1/3, 1/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 3/4, 0, 0, 0, 0, 1/4}, {1/2, 0, 0, 0, 3/4, 0, 1/4, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 3/4, 3/4, 0, 1/4, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 3/4, 0, 1/4, 0, 3/4}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1}, {0, 2/3, 0, 1/3, 1/3, 1/3, 0, 0}, 
   {0, 0, 0, 1/3, 1, 0, 1/3, 1}, {2/3, 0, 1/3, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 0, 0, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 1, 0, 1/3, 1/3}, 
   {0, 1/3, 0, 0, 0, 0, 1, 0, 0}, {0, 1/3, 0, 0, 1/3, 2/3, 0, 0, 1/3}, 
   {0, 1/3, 0, 1/3, 0, 1/3, 1/3, 1/3, 0}, {1/3, 0, 0, 0, 2/3, 0, 0, 1/3, 
    2/3}, {0, 2/3, 0, 1/3, 0, 0, 0, 2/3, 1}, {0, 0, 1/3, 1, 1/3, 0, 0, 1/3, 
    2/3}, {2/3, 0, 2/3, 0, 1/3, 0, 1, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 1, 0, 1, 1/3}, 
   {0, 0, 2/3, 1, 1/3, 0, 1/3, 0, 0}, {0, 0, 0, 0, 2/3, 1, 1, 0, 2/3}, 
   {2/3, 2/3, 0, 0, 0, 1/3, 1, 0, 0}, {2/3, 0, 0, 1, 1/3, 0, 0, 1/3, 1/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1/2, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 1/2, 1, 1, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1, 1/2, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 3/4, 0, 0, 1/4, 1/4}, {0, 1/4, 3/4, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 3/4, 1/4, 1/2, 0, 1/4}, {0, 1/2, 1/2, 1/2, 0, 0, 1/4, 1/2}, 
   {1/4, 0, 0, 0, 1/4, 1/4, 1/2, 0}, {3/4, 0, 1/4, 1/4, 0, 1/2, 0, 1/2}, 
   {0, 3/4, 0, 3/4, 1/2, 0, 1/4, 0}, {0, 0, 3/4, 0, 1/2, 0, 1/4, 3/4}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {1, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 1/3, 0, 1, 0, 1/3}, {2/3, 0, 0, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 1/3, 1, 2/3, 0, 1/3, 0}, {0, 2/3, 1/3, 1/3, 0, 0, 1/3, 0}, 
   {2/3, 0, 0, 0, 1, 1, 0, 1/3}, {0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 0, 0, 1, 1/2}, {1, 0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 1}, {0, 0, 1/2, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 1, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 1, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 0, 1/3, 1, 0}, 
   {1/3, 1/3, 0, 0, 0, 2/3, 0, 0, 1/3}, {0, 2/3, 2/3, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 2/3, 1}, {0, 0, 1/3, 2/3, 0, 0, 0, 0, 1}, 
   {1, 1/3, 0, 2/3, 0, 2/3, 1/3, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/4, 1/4, 0}, 
   {0, 3/4, 0, 1/4, 0, 0, 0, 1/2}, {0, 0, 0, 3/4, 1, 0, 3/4, 1/2}, 
   {3/4, 0, 0, 0, 1/4, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 1, 1/4, 0}, 
   {0, 3/4, 1, 0, 0, 0, 3/4, 1/2}, {0, 0, 0, 1/2, 1/2, 1, 1/4, 0}, 
   {3/4, 0, 1/4, 3/4, 0, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 1/3, 1/3, 0, 0}, 
   {2/3, 0, 0, 1, 1, 0, 0, 1/3, 1}, {0, 0, 0, 2/3, 0, 1/3, 0, 1/3, 1}, 
   {2/3, 0, 0, 1/3, 1/3, 0, 1/3, 0, 0}, {2/3, 0, 0, 0, 0, 1/3, 0, 1/3, 1/3}, 
   {0, 2/3, 2/3, 0, 2/3, 0, 0, 0, 0}, {2/3, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {1, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1, 1, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 2/3, 0, 1, 0, 0, 2/3}, {1, 0, 1/3, 1, 0, 0, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {1/3, 0, 2/3, 0, 1/3, 2/3, 0, 0}, {0, 1/3, 1/3, 1, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 2/3, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 2/3, 0, 1, 0}, 
   {1/3, 0, 0, 2/3, 0, 1, 0, 1/3}, {1, 0, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 0, 0, 1, 0, 1}, {1/3, 0, 2/3, 2/3, 0, 0, 1/3, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 1/3, 1/3, 0, 2/3, 0}, {1/3, 0, 1/3, 1/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 2/3}, {2/3, 0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 2/3, 2/3, 0, 0, 2/3, 2/3, 0}, {0, 1/3, 0, 1/3, 0, 2/3, 0, 0, 
    2/3}, {2/3, 1/3, 0, 1/3, 0, 0, 0, 2/3, 0}, {1/3, 0, 1/3, 0, 1/3, 1/3, 
    2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 1, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1/3, 0, 1/3, 0, 0, 1/3}, 
   {0, 2/3, 0, 1, 0, 1/3, 1/3, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 1/3, 2/3, 0, 2/3, 1}, 
   {0, 2/3, 1, 0, 1, 1/3, 1/3, 0}, {2/3, 0, 0, 1/3, 0, 0, 2/3, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{3/5, 0, 3/5, 0, 3/5, 0, 0, 3/5, 0}, 
   {0, 0, 3/5, 3/5, 3/5, 0, 0, 0, 0}, {3/5, 3/5, 0, 3/5, 0, 3/5, 0, 0, 0}, 
   {0, 2/5, 4/5, 0, 0, 3/5, 2/5, 1/5, 0}, {1/5, 0, 2/5, 0, 0, 3/5, 4/5, 0, 
    2/5}, {2/5, 4/5, 0, 0, 3/5, 0, 0, 2/5, 1/5}, 
   {1/5, 2/5, 0, 0, 3/5, 0, 2/5, 0, 1/5}, {0, 1/5, 2/5, 0, 0, 3/5, 0, 1/5, 
    2/5}, {2/5, 0, 1/5, 3/5, 0, 0, 1/5, 2/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 1/3, 1/3, 0, 0, 1, 2/3}, {0, 0, 0, 2/3, 1/3, 1/3, 2/3, 1/3}, 
   {0, 2/3, 0, 0, 1, 1/3, 0, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 2/3, 2/3, 2/3, 0}, {2/3, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, {0, 1/3, 0, 2/3, 0, 0, 1, 1/3, 0}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 0, 0, 1/3}, {2/3, 1/3, 0, 0, 0, 0, 1, 1/3, 0}, 
   {0, 1/3, 2/3, 0, 0, 0, 0, 0, 1/3}, {0, 1/3, 0, 0, 2/3, 0, 0, 2/3, 1}, 
   {1/3, 0, 1, 2/3, 0, 0, 1/3, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 1, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1/3}, {1/3, 0, 1/3, 0, 2/3, 2/3, 0, 1/3, 0}, 
   {1, 0, 1/3, 0, 2/3, 0, 0, 1/3, 0}, {2/3, 1, 0, 0, 0, 0, 2/3, 1/3, 0}, 
   {0, 1, 0, 2/3, 0, 0, 0, 1, 2/3}, {1, 0, 1/3, 0, 0, 2/3, 1/3, 0, 1/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 2/3, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 1, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 1/3, 1/3, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 0, 1/3, 1/3}, {0, 0, 0, 1, 0, 0, 0, 1/3, 1/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 2/3, 0, 2/3}, {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 1, 0, 0, 1/3, 2/3, 0}, 
   {2/3, 2/3, 0, 1, 0, 0, 1/3, 0, 0}, {0, 0, 2/3, 0, 1/3, 1, 0, 1/3, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 1, 1, 1/3, 0, 0}, 
   {0, 0, 0, 1, 1/3, 1, 0, 2/3}, {2/3, 0, 1/3, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1/3, 1/3, 0, 1/3, 1/3}, {0, 0, 1/3, 0, 0, 1/3, 2/3, 0}, 
   {0, 0, 1/3, 0, 2/3, 1/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1/2, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1/2}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 3/4, 0, 1/2, 0, 1/4, 3/4}, 
   {0, 0, 0, 1/4, 1/4, 0, 1/2, 0, 1/2}, {3/4, 0, 0, 0, 0, 1/2, 0, 1/4, 0}, 
   {0, 3/4, 1/2, 1/4, 0, 0, 3/4, 3/4, 0}, {0, 0, 1/2, 1/4, 3/4, 0, 0, 0, 0}, 
   {1/4, 1/4, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 3/4, 1, 0, 1/4, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/4, 1/2, 0, 1, 1/4, 0, 1/4}, {1/2, 1/2, 0, 1, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 1}, {1, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 3/4}, 
   {0, 0, 0, 0, 3/4, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 1/2}, 
   {1/4, 1/4, 0, 1/4, 0, 1/2, 3/4, 1/4, 0}, {3/4, 0, 1/2, 1/2, 1, 0, 0, 1/4, 
    0}, {0, 3/4, 1/4, 1, 1/2, 0, 1/4, 0, 1/4}, {0, 0, 1/4, 1/2, 0, 1, 0, 1/2, 
    0}, {1/2, 1/2, 0, 0, 1/4, 1/2, 0, 1/2, 3/4}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1/2, 1}, {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1/2, 1/2, 0, 1}, {0, 1, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 1, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 1/2, 0, 0}, {1, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {0, 1, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 1, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 
    1}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1, 1, 0, 0, 1/2}, 
   {1, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 0, 2/3, 1/3, 0, 0}, {1/3, 0, 1, 2/3, 0, 0, 0, 1, 1/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 2/3, 0, 1/3}, {2/3, 0, 0, 2/3, 2/3, 0, 0, 0, 1/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 2/3, 1/3}, {0, 1/3, 0, 0, 2/3, 2/3, 0, 1/3, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/3, 0}, {1/3, 0, 1/3, 0, 0, 0, 1, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {1, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 
    1/2}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 2/3, 0, 1/3, 0, 1/3}, {1/3, 1, 0, 2/3, 0, 0, 0, 1, 0}, 
   {0, 2/3, 1/3, 0, 2/3, 2/3, 0, 1/3, 0}, {2/3, 0, 1, 0, 0, 0, 2/3, 1, 0}, 
   {1/3, 1/3, 0, 2/3, 0, 2/3, 1, 0, 1}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1/2}, {1, 0, 0, 0, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 2/3, 0, 1/3, 0, 0}, {0, 1/3, 1/3, 0, 0, 0, 1, 1/3}, 
   {1/3, 0, 0, 1/3, 1/3, 1/3, 2/3, 0}, {1, 0, 1/3, 2/3, 0, 0, 1, 1/3}, 
   {0, 1/3, 1/3, 0, 2/3, 1, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 1, 0}, {0, 0, 0, 1/2, 1/2, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 2/3, 0, 0}, {1/3, 0, 0, 0, 0, 1, 1/3}, 
   {0, 1/3, 0, 2/3, 1/3, 0, 0}, {0, 1/3, 0, 2/3, 0, 1, 1}, 
   {1/3, 0, 2/3, 0, 1, 0, 0}, {1, 0, 0, 2/3, 1/3, 0, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1, 1/2, 0, 0, 0}, {1, 1/2, 0, 1/2, 0, 1/4, 0, 0, 3/4}, 
   {1/2, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1, 0, 1/4, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 3/4, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 3/4, 0, 0}, 
   {1/2, 1/2, 0, 1/4, 1/4, 0, 0, 3/4, 0}, {0, 0, 1/4, 0, 3/4, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 6/7, 0, 1, 0, 0, 0, 5/7, 5/7}, {0, 0, 0, 1/7, 3/7, 0, 6/7, 2/7, 5/7}, 
   {3/7, 3/7, 0, 0, 5/7, 2/7, 4/7, 0, 0}, {0, 0, 3/7, 0, 0, 1, 0, 2/7, 2/7}, 
   {0, 0, 0, 5/7, 2/7, 0, 1, 0, 0}, {6/7, 0, 3/7, 2/7, 2/7, 0, 1/7, 0, 0}, 
   {0, 0, 0, 0, 1, 3/7, 0, 2/7, 2/7}, {0, 0, 0, 2/7, 0, 5/7, 1, 0, 0}, 
   {0, 0, 3/7, 0, 1, 0, 0, 5/7, 2/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 1, 1/2, 0, 1/2, 1/2, 0, 1/2, 
    1}, {1/2, 0, 0, 1, 1, 0, 1, 1/2, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 0, 1/2, 1/2, 1, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1, 0, 1/2}, {0, 0, 1, 1/2, 0, 1, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 2/3, 0, 0, 1/3, 1/3}, 
   {1/3, 0, 0, 0, 0, 1/3, 0, 0}, {1/3, 0, 1/3, 1/3, 1/3, 1/3, 2/3, 0}, 
   {1, 0, 2/3, 2/3, 0, 0, 1, 1/3}, {0, 1/3, 2/3, 0, 2/3, 1/3, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 2/3}, {0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/3, 0, 1/3, 2/3, 0, 0}, 
   {1, 1/3, 0, 0, 1/3, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 2/3}, 
   {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 1, 0, 1/3, 0, 0, 2/3, 0}, {1/3, 1/3, 0, 1, 0, 1/3, 0, 2/3, 0}, 
   {2/3, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1/2, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1, 0, 1/2}, {0, 1, 0, 0, 1, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 0, 1/2, 1}, {0, 0, 0, 1/2, 1/2, 0, 1, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 2/3, 1/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 1/3, 0, 2/3, 2/3}, {0, 0, 0, 1, 1/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 0, 0, 1, 1/3, 0}, {0, 0, 1, 0, 1/3, 0, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 1/3, 1/3, 0}}, {{2, 2, 2}, {2, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 1/3, 1/3, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 2/3, 2/3, 0, 1/3, 0, 1/3, 2/3}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {2/3, 0, 1/3, 1/3, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 3/5, 3/5, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 3/5, 0, 0, 0, 0, 0}, {0, 2/5, 1/5, 0, 0, 0, 0, 1, 4/5}, 
   {1, 1/5, 0, 0, 3/5, 0, 1/5, 0, 1}, {4/5, 0, 2/5, 0, 0, 3/5, 2/5, 1/5, 0}, 
   {1, 0, 1/5, 0, 3/5, 3/5, 0, 1/5, 2/5}, {1/5, 2/5, 0, 0, 3/5, 0, 4/5, 1, 
    0}, {0, 4/5, 2/5, 0, 0, 3/5, 1, 0, 1/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 0, 2/3, 1/3, 0, 0}, {0, 2/3, 0, 0, 1/3, 0, 0, 0, 0}, 
   {2/3, 0, 2/3, 1/3, 0, 0, 1/3, 0, 1/3}, {1, 1/3, 0, 0, 0, 0, 1, 2/3, 0}, 
   {0, 1/3, 0, 1, 0, 1, 0, 2/3, 0}, {0, 0, 1, 2/3, 2/3, 0, 0, 1/3, 0}, 
   {0, 1, 1/3, 0, 0, 1/3, 2/3, 0, 2/3}, {0, 0, 0, 0, 2/3, 0, 0, 2/3, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, {1, 0, 0, 1/2, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/3, 1/3}, 
   {0, 0, 0, 1/3, 1, 2/3, 0}, {0, 0, 0, 1/3, 0, 1/3, 1}, 
   {0, 2/3, 1/3, 0, 1/3, 0, 0}, {0, 0, 0, 2/3, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{1/2, 0, 0, 0, 1/2, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{3/4, 0, 1/2, 0, 1/4, 3/4, 0, 3/4, 0}, {1, 1/4, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 3/4, 1/2, 0, 1/4, 0, 0, 0, 3/4}, {0, 0, 1/2, 1/4, 0, 0, 0, 3/4, 0}, 
   {1, 1/4, 0, 0, 1/2, 1/2, 0, 0, 0}, {3/4, 0, 1/2, 1/4, 0, 0, 0, 0, 0}, 
   {0, 3/4, 1/2, 0, 0, 1/4, 3/4, 0, 0}, {0, 0, 1/2, 0, 3/4, 1/4, 3/4, 0, 
    3/4}, {1, 1/4, 0, 1/2, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 1, 0}, {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {1, 0, 1, 0, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1/3, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 0, 0, 1, 1/3, 0, 1}, {2/3, 0, 0, 2/3, 1, 0, 1/3, 0}, 
   {0, 2/3, 1, 1/3, 0, 1/3, 0, 1/3}, {0, 0, 0, 0, 1/3, 2/3, 1, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 2/3}, {2/3, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1/3, 0, 0, 0, 2/3}, {1/3, 1, 0, 1/3, 0, 1/3, 0, 2/3, 0}, 
   {1/3, 1, 0, 1/3, 1/3, 0, 0, 0, 0}, {0, 0, 1/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 1/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 1/3, 0, 2/3, 2/3, 0, 2/3}, 
   {2/3, 2/3, 0, 1/3, 2/3, 2/3, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 2/3, 0, 2/3, 1, 0, 1}, 
   {1/3, 0, 1/3, 0, 2/3, 0, 0, 1/3, 0}, {0, 2/3, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, 
   {0, 1/3, 0, 2/3, 0, 2/3, 0, 1/3, 0}, {2/3, 1/3, 0, 0, 0, 2/3, 0, 1/3, 0}, 
   {1/3, 0, 1/3, 0, 0, 0, 1/3, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 2/3, 0, 0, 1, 0, 1/3}, {1, 0, 2/3, 0, 0, 2/3, 0, 1/3, 0}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 1/3, 0, 1/3}, {0, 1, 1/3, 0, 0, 2/3, 0, 1/3, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, {2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/3, 0, 0, 0, 0, 2/3, 1}, {1/3, 0, 0, 2/3, 0, 0, 1/3, 1/3, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, {1, 2/3, 0, 0, 0, 0, 0, 2/3, 1}, 
   {0, 1, 1, 0, 0, 2/3, 1, 1/3, 0}, {1, 0, 0, 0, 2/3, 2/3, 0, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 3/5, 0, 0, 0}, {0, 0, 3/5, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 3/5, 0, 2/5, 0, 0}, {1/5, 0, 4/5, 0, 1/5, 1/5, 0, 4/5, 4/5}, 
   {3/5, 2/5, 0, 2/5, 0, 0, 2/5, 0, 3/5}, {0, 1/5, 3/5, 0, 2/5, 1, 4/5, 0, 
    0}, {3/5, 4/5, 0, 1/5, 3/5, 0, 0, 2/5, 2/5}, {1, 0, 2/5, 1/5, 0, 0, 4/5, 
    3/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 5/7, 5/7, 0, 3/7, 0, 0}, {0, 0, 0, 0, 3/7, 0, 5/7, 5/7}, 
   {0, 0, 0, 2/7, 5/7, 1, 2/7, 0}, {0, 0, 2/7, 0, 3/7, 5/7, 0, 2/7}, 
   {4/7, 0, 3/7, 1/7, 0, 0, 3/7, 1/7}, {0, 0, 2/7, 0, 6/7, 6/7, 2/7, 0}, 
   {0, 4/7, 0, 2/7, 0, 0, 4/7, 2/7}, {0, 0, 0, 2/7, 4/7, 4/7, 0, 2/7}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/5, 0, 0, 0, 4/5, 0, 3/5, 3/5}, {0, 3/5, 0, 0, 0, 1/5, 0, 0}, 
   {0, 0, 2/5, 0, 2/5, 2/5, 2/5, 0}, {4/5, 0, 0, 2/5, 0, 0, 0, 2/5}, 
   {0, 0, 0, 2/5, 4/5, 0, 0, 2/5}, {3/5, 0, 0, 2/5, 0, 1, 2/5, 0}, 
   {0, 1/5, 4/5, 2/5, 0, 0, 1/5, 3/5}, {3/5, 0, 2/5, 0, 2/5, 3/5, 0, 2/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 1, 0, 1, 0, 0, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 1, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 2/3, 2/3, 0, 2/3, 1, 1/3, 0, 1/3}, {2/3, 0, 2/3, 1, 1/3, 0, 0, 1/3, 
    0}, {1/3, 1/3, 1/3, 0, 0, 1/3, 2/3, 1/3, 0}, {0, 0, 0, 1, 1/3, 0, 1/3, 0, 
    1/3}, {2/3, 0, 0, 0, 0, 1/3, 0, 1/3, 2/3}, {2/3, 0, 2/3, 0, 0, 1/3, 0, 
    1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/4, 0, 1/4, 1/4, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0}, {3/4, 0, 1/4, 1/4, 0, 1/2, 0, 1/2}, 
   {0, 0, 3/4, 0, 1/2, 0, 1/4, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 0}, 
   {1/4, 0, 3/4, 1/2, 0, 0, 1/2, 1/2}, {1/2, 1/4, 1/4, 0, 1/4, 1/4, 0, 3/4}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 3/4, 0, 0, 0}, 
   {3/4, 0, 0, 0, 0, 0, 0, 0, 0}, {1/4, 1, 0, 1/4, 0, 1/2, 1/4, 3/4, 0}, 
   {0, 3/4, 1/2, 1/2, 1/4, 0, 1/4, 0, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 
    1/2}, {0, 0, 1/4, 1, 1/2, 0, 0, 1/4, 1/4}, {3/4, 0, 1, 1/2, 0, 1/4, 1/2, 
    0, 0}, {1/2, 1/2, 0, 0, 1/4, 1/2, 1/2, 0, 3/4}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 1/3}, {2/3, 0, 0, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 1, 0, 1/3}, {0, 1/3, 0, 2/3, 0, 1/3, 0}, 
   {0, 1, 0, 2/3, 1/3, 0, 0}, {1/3, 0, 2/3, 0, 0, 1, 1/3}, 
   {0, 1/3, 0, 0, 1/3, 2/3, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 1, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 2/3, 0, 2/3, 1/3, 0, 1/3}, 
   {0, 1/3, 1, 2/3, 0, 0, 0, 1, 0}, {0, 1/3, 1, 0, 0, 0, 1, 0, 1/3}, 
   {1, 2/3, 0, 0, 2/3, 0, 0, 1/3, 0}, {1/3, 0, 0, 0, 0, 2/3, 2/3, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 1/4, 0, 1/4, 1/4, 0, 1/4}, 
   {0, 0, 0, 0, 1/4, 0, 0, 3/4, 1/2}, {1/2, 0, 0, 1/2, 1/4, 0, 0, 1/4, 0}, 
   {0, 1/4, 0, 3/4, 0, 1/2, 0, 3/4, 3/4}, {1/4, 0, 3/4, 3/4, 0, 0, 1/4, 0, 
    0}, {0, 1/4, 1/2, 0, 1/4, 1/4, 3/4, 0, 0}, {0, 3/4, 0, 1/4, 1/4, 0, 1/2, 
    0, 1/4}, {1/4, 0, 1/4, 0, 1/2, 3/4, 0, 0, 1/4}, 
   {0, 3/4, 0, 1/2, 0, 1/4, 3/4, 1/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 1, 2/3, 1/3, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 1, 1, 0, 1/3, 2/3}, {0, 1/3, 1/3, 0, 2/3, 1, 0, 1/3}, 
   {1, 0, 1, 0, 0, 0, 1/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 1/3, 0, 0, 0, 2/3}, {0, 1/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 2/3, 2/3, 1/3, 0, 0, 0, 1/3}, {0, 0, 1/3, 0, 1/3, 1/3, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 2/3, 0, 1/3}, {0, 1/3, 1/3, 0, 2/3, 2/3, 0, 1}, 
   {1/3, 0, 0, 1/3, 1/3, 0, 2/3, 1/3}, {1/3, 0, 1/3, 2/3, 0, 1/3, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{2/5, 0, 0, 1/5, 4/5, 0, 0, 0}, {0, 1/5, 2/5, 0, 0, 3/5, 0, 0}, 
   {0, 1/5, 3/5, 2/5, 0, 0, 3/5, 0}, {0, 4/5, 0, 1, 3/5, 0, 0, 3/5}, 
   {2/5, 0, 4/5, 0, 1/5, 3/5, 3/5, 0}, {0, 1/5, 0, 3/5, 1, 3/5, 3/5, 0}, 
   {0, 1/5, 3/5, 0, 2/5, 0, 0, 3/5}, {2/5, 0, 1/5, 1/5, 0, 0, 0, 3/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 2/3, 1, 1, 0, 0, 1/3, 0}, 
   {0, 1, 0, 0, 0, 1, 1/3, 0, 0}, {0, 0, 2/3, 0, 0, 1, 0, 1/3, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 1/3, 0, 2/3}, {0, 0, 2/3, 1/3, 0, 0, 1, 0, 0}, 
   {1, 0, 1/3, 0, 0, 1, 0, 2/3, 0}, {2/3, 0, 0, 0, 1/3, 0, 0, 2/3, 1}, 
   {0, 2/3, 0, 2/3, 1, 0, 0, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1/2, 1, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 1, 1/2, 0, 0}, {1, 0, 1, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 2/3, 0, 2/3, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1/3, 0, 0, 1/3, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 2/3, 1/3, 0, 0, 0, 2/3, 2/3}, {0, 1/3, 0, 1, 0, 2/3, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 0, 1/3, 1, 0, 0, 2/3}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 2/3, 1/3, 1, 0}, 
   {1/3, 0, 0, 2/3, 0, 0, 0, 1/3}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 2/3, 0, 1, 0, 1/3, 1/3, 0}, {1/3, 0, 0, 1/3, 0, 0, 0, 2/3}, 
   {0, 1/3, 1, 0, 1/3, 2/3, 0, 0}, {1, 0, 0, 1/3, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 1, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, {1, 0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 0, 1, 1, 1, 0}, {0, 0, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3}, {2/3, 0, 1/3, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 1, 0, 0, 1/3}, {0, 0, 0, 1/3, 2/3, 0, 1/3}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 2/3, 1/3, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {1/3, 0, 1, 0, 2/3, 0, 1/3, 1, 0}, {0, 1, 0, 0, 0, 0, 2/3, 0, 1}, 
   {0, 1/3, 0, 2/3, 2/3, 0, 0, 2/3, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 1, 1/2}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 1/3, 1, 0, 1, 0}, 
   {2/3, 0, 1/3, 0, 2/3, 1, 0, 1/3}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {2/3, 0, 1/3, 0, 0, 0, 1, 0}, {0, 2/3, 0, 1/3, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 2/5, 4/5, 1, 0, 1/5, 0, 3/5, 0}, {1, 4/5, 0, 0, 1/5, 1, 0, 0, 0}, 
   {1/5, 0, 2/5, 4/5, 1, 0, 0, 0, 3/5}, {0, 0, 0, 0, 0, 3/5, 3/5, 0, 0}, 
   {0, 0, 0, 0, 3/5, 3/5, 0, 0, 0}, {3/5, 0, 0, 0, 0, 0, 3/5, 3/5, 0}, 
   {2/5, 0, 4/5, 1/5, 0, 2/5, 0, 0, 3/5}, {1/5, 2/5, 0, 1, 4/5, 0, 0, 0, 0}, 
   {0, 1/5, 1, 0, 2/5, 1/5, 0, 0, 3/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1/2, 0, 0, 1, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 1, 1/3, 0, 0, 2/3, 0, 2/3, 1/3}, {0, 1/3, 1/3, 0, 2/3, 2/3, 2/3, 0, 
    1/3}, {1, 0, 0, 2/3, 0, 0, 1/3, 1, 0}, {0, 1, 1, 2/3, 2/3, 0, 1/3, 1/3, 
    0}, {1/3, 0, 0, 0, 0, 0, 2/3, 0, 1}, {1, 0, 0, 0, 2/3, 2/3, 0, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 1, 0, 1/3, 0, 2/3, 0}, {1, 0, 0, 1, 2/3, 0, 0, 0}, 
   {0, 1/3, 1, 0, 1/3, 0, 0, 2/3}, {1/3, 0, 0, 1/3, 0, 2/3, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 2/3, 0, 0, 1, 0, 2/3}, 
   {1/3, 2/3, 0, 0, 0, 0, 1/3, 2/3, 0}, {0, 1, 0, 0, 1/3, 1/3, 0, 2/3, 0}, 
   {1, 0, 2/3, 0, 0, 0, 0, 2/3, 1/3}, {1/3, 2/3, 0, 0, 0, 1/3, 2/3, 0, 1}, 
   {0, 0, 2/3, 0, 1/3, 1/3, 1, 1/3, 0}, {0, 0, 1/3, 0, 2/3, 1/3, 0, 0, 1}, 
   {1/3, 0, 0, 2/3, 0, 0, 0, 1/3, 0}, {2/3, 0, 0, 1/3, 0, 0, 0, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 1, 0, 0, 2/3, 0}, {1, 0, 1/3, 0, 1, 0, 0, 0}, 
   {2/3, 0, 2/3, 2/3, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0}, {0, 1/3, 1, 0, 1/3, 0, 0, 2/3}, 
   {1, 0, 0, 1/3, 0, 2/3, 0, 0}, {1, 0, 0, 1/3, 2/3, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 0, 1, 1, 0, 1/2, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 
    1/2}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 
    1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 1, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1}, {0, 1/2, 1/2, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 0, 0, 1, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 0, 1, 1/3, 0}, {0, 0, 0, 1/3, 1, 0, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 1/3, 1/3, 1/3, 0}, {0, 0, 1, 2/3, 2/3, 0, 0, 1/3}, 
   {0, 0, 1, 2/3, 0, 0, 2/3, 1/3}, {0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 2/3, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1/2}, {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 3/5, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 3/5, 0, 3/5, 0, 0, 0}, {4/5, 0, 2/5, 0, 3/5, 0, 0, 1/5, 2/5}, 
   {2/5, 1/5, 0, 3/5, 3/5, 0, 2/5, 0, 1/5}, {0, 1, 1/5, 0, 0, 0, 4/5, 1, 0}, 
   {0, 1/5, 2/5, 0, 0, 3/5, 1/5, 0, 1}, {1, 0, 4/5, 0, 0, 0, 2/5, 1/5, 0}, 
   {1/5, 2/5, 0, 3/5, 0, 3/5, 0, 2/5, 4/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 1}, {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 1, 0, 0, 1/2, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 1/4, 0}, {1/4, 1/4, 0, 0, 3/4, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 1/4, 1/4, 0, 1/2, 1/4}, {3/4, 1/4, 0, 1/2, 0, 3/4, 1/4, 0, 
    1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/4, 0}, {1, 0, 1/2, 0, 1/2, 1/2, 0, 
    0, 1/2}, {1/2, 1, 0, 1/4, 0, 0, 1/4, 1/4, 0}, 
   {0, 1/2, 1/4, 1/4, 0, 0, 3/4, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 0, 0, 0, 1/3, 1}, {0, 0, 1/3, 1/3, 0, 0, 0, 0, 1}, 
   {1/3, 1/3, 0, 0, 2/3, 0, 0, 1/3, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {1/3, 2/3, 0, 0, 2/3, 2/3, 1/3, 0, 0}, {0, 1/3, 0, 0, 0, 2/3, 2/3, 2/3, 
    0}, {1/3, 0, 2/3, 0, 1, 1, 0, 0, 1/3}, {1, 1, 0, 2/3, 0, 0, 1/3, 0, 1/3}, 
   {0, 0, 1/3, 2/3, 0, 2/3, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 1/3, 1/3, 0, 0, 2/3, 0}, {1/3, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1/3, 0, 0, 0, 2/3}, {0, 1/3, 0, 1, 2/3, 2/3, 0}, 
   {1/3, 0, 1/3, 0, 2/3, 0, 2/3}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1/2, 1}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1/2, 0, 1, 1, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1/3, 1/3, 0, 0, 0}, {1/3, 0, 1/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 1/3, 2/3, 0, 2/3}, {0, 0, 2/3, 2/3, 1/3, 0, 0, 0}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 2/3, 0}, {0, 1/3, 1, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 0, 1/3, 0, 0, 2/3, 2/3}, {1/3, 0, 0, 1, 2/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 1, 1, 0, 0, 0}, {1/2, 1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 1, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 1/2, 1/2}, {1, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {0, 0, 1/2, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1/2, 0, 1, 1/2}, {0, 1/2, 1, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 1/2, 1, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1/2, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 1, 0, 0, 2/5, 0, 1, 3/5}, {3/5, 0, 2/5, 3/5, 0, 1, 0, 2/5, 0}, 
   {1/5, 1/5, 0, 4/5, 4/5, 0, 1/5, 0, 4/5}, {0, 0, 1/5, 0, 0, 4/5, 2/5, 0, 
    1}, {0, 0, 1/5, 2/5, 1, 0, 0, 4/5, 0}, {2/5, 2/5, 0, 0, 0, 4/5, 0, 1/5, 
    3/5}, {0, 3/5, 0, 0, 0, 0, 3/5, 0, 0}, {0, 0, 0, 0, 0, 0, 3/5, 3/5, 0}, 
   {3/5, 0, 0, 0, 3/5, 3/5, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 1, 1/2}, {1, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 1, 0, 1, 1/3, 0, 2/3, 2/3}, {1/3, 1/3, 0, 1/3, 0, 2/3, 2/3, 2/3, 
    0}, {1, 1/3, 0, 1, 2/3, 0, 0, 0, 0}, {0, 0, 1/3, 1, 0, 0, 0, 0, 2/3}, 
   {1, 1, 0, 0, 1/3, 1/3, 0, 0, 2/3}, {0, 0, 1, 1/3, 2/3, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/8, 1, 0, 1/4, 1/4, 0, 0, 1}, 
   {1/8, 1/4, 0, 7/8, 0, 0, 1/8, 1/8, 0}, {1, 0, 7/8, 0, 1/4, 1/4, 1/8, 1/8, 
    0}, {0, 7/8, 0, 0, 1/4, 7/8, 0, 1/2, 0}, {1/4, 0, 1/4, 7/8, 0, 5/8, 0, 
    1/2, 0}, {1/4, 0, 1/4, 1/4, 1/2, 0, 5/8, 0, 5/8}, 
   {0, 1/8, 1/8, 0, 5/8, 0, 1, 1/2, 0}, {0, 1/8, 1/8, 1/2, 0, 1/2, 1/2, 0, 
    5/8}, {1, 0, 0, 0, 5/8, 0, 0, 5/8, 1/8}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 1, 0, 0, 0, 0, 1, 0}, {1, 1/3, 0, 0, 0, 0, 1/3, 0, 1}, 
   {2/3, 0, 1, 0, 0, 2/3, 2/3, 1/3, 0}, {0, 0, 1, 0, 0, 0, 1/3, 0, 1}, 
   {1, 1/3, 0, 2/3, 0, 0, 0, 1, 0}, {1/3, 1/3, 0, 0, 0, 0, 0, 1, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 2/3, 0, 1/3, 0, 0}, {0, 1/3, 0, 0, 0, 0, 1/3, 1/3}, 
   {0, 1/3, 0, 0, 2/3, 1/3, 0, 2/3}, {1, 0, 2/3, 2/3, 0, 0, 1/3, 1}, 
   {0, 1/3, 2/3, 0, 2/3, 1/3, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 2/3, 2/3, 2/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 1, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 1, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 1, 0, 1/2, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 1, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1/2, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3}, {0, 0, 1/3, 2/3, 1, 0, 1/3, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 1, 0, 0}, {0, 0, 1/3, 0, 1, 0, 1/3, 1}, 
   {1/3, 1/3, 0, 1/3, 2/3, 1/3, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1/3}, 
   {0, 0, 1/3, 0, 1/3, 1, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 1, 1, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1/2, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/3, 0, 1, 1/3, 0}, 
   {2/3, 0, 0, 0, 1/3, 0, 0, 1/3}, {0, 0, 0, 1/3, 1, 1/3, 1/3, 0}, 
   {0, 2/3, 1/3, 0, 0, 0, 0, 1}, {0, 2/3, 0, 1/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 1/3, 0, 0, 0, 0}, {0, 0, 2/3, 1/3, 2/3, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1, 0, 1, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 2/3, 0, 0, 2/3, 1/3}, 
   {1/3, 0, 0, 0, 0, 0, 1/3, 1/3, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 2/3, 0, 2/3, 0, 0, 1/3}, {1, 0, 2/3, 2/3, 0, 0, 0, 0, 1/3}, 
   {0, 1/3, 1, 0, 0, 0, 1, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/3, 0, 1/3, 1/3, 0, 2/3, 0}, {0, 1, 0, 1/3, 0, 0, 2/3, 0, 0}, 
   {0, 1, 2/3, 0, 1/3, 1/3, 0, 0, 1/3}, {0, 1/3, 0, 1/3, 0, 2/3, 1/3, 1, 0}, 
   {1/3, 0, 1, 1/3, 0, 0, 2/3, 0, 1/3}, {0, 0, 0, 0, 0, 0, 0, 2/3, 1}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 2/3, 0, 0, 2/3, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 2/3, 0, 1/3, 1/3, 1/3, 0, 0}, 
   {0, 0, 1/3, 0, 2/3, 0, 1, 1/3}, {0, 2/3, 1/3, 0, 0, 0, 1/3, 1/3}, 
   {2/3, 0, 1/3, 0, 0, 1, 0, 2/3}, {0, 0, 0, 1, 1, 0, 1/3, 1/3}, 
   {2/3, 0, 1/3, 2/3, 0, 1/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/3, 1, 0, 0, 0, 0, 2/3}, {1/3, 0, 0, 0, 1/3, 1, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 1, 1/3, 0, 1/3, 1/3, 2/3, 0, 0}, 
   {1/3, 0, 0, 1, 0, 0, 0, 0, 2/3}, {1/3, 0, 0, 1, 2/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/7, 2/7, 0, 2/7, 2/7}, 
   {0, 0, 2/7, 0, 0, 2/7, 0, 0}, {0, 5/7, 0, 1/7, 0, 0, 0, 6/7}, 
   {1, 0, 3/7, 0, 1, 2/7, 6/7, 0}, {0, 5/7, 0, 5/7, 0, 0, 0, 2/7}, 
   {0, 1, 3/7, 0, 5/7, 4/7, 6/7, 0}, {5/7, 0, 2/7, 1, 0, 0, 2/7, 0}, 
   {5/7, 0, 0, 1/7, 2/7, 2/7, 0, 6/7}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 2/3, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 2/3, 0, 2/3, 1/3, 0, 0}, {1/3, 0, 1/3, 0, 0, 2/3, 0, 1/3, 
    1/3}, {2/3, 1/3, 0, 0, 0, 0, 1/3, 2/3, 0}, {1, 0, 1, 0, 0, 0, 1, 2/3, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 0, 1/3, 1}, {1/3, 0, 1, 0, 2/3, 0, 1/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 1, 1/3, 1/3, 0, 0}, {0, 0, 1/3, 0, 0, 0, 1, 1/3}, 
   {0, 2/3, 0, 1/3, 1, 0, 1/3, 1/3}, {0, 0, 1, 0, 0, 1, 0, 2/3}, 
   {2/3, 0, 1, 2/3, 0, 1/3, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 2/3, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 0, 1, 1/3, 0, 0, 2/3, 0}, 
   {0, 0, 1, 0, 0, 1/3, 0, 0, 2/3}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {1/3, 1/3, 0, 0, 0, 1, 2/3, 0, 0}, {1/3, 1/3, 0, 0, 2/3, 1, 0, 0, 0}, 
   {0, 0, 1, 1/3, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1}, {1, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1/3, 0, 0, 0, 1, 0}, {0, 0, 2/3, 0, 1/3, 1, 1, 0, 1/3}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 2/3, 0, 1, 0, 0, 1, 0, 1}, 
   {2/3, 0, 2/3, 0, 1/3, 1/3, 0, 1, 0}, {0, 0, 2/3, 0, 1/3, 1/3, 2/3, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 1, 1}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 1, 0, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 0, 1/3, 1/3, 1, 0}, {0, 2/3, 1, 0, 1/3, 1, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 1/3}, {2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, {0, 1/2, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, {1/2, 0, 1/2, 1/2, 1, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 1, 0, 1/2, 1/2, 0}, {0, 1/2, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/4, 0, 1, 0, 1, 3/4, 1/4, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 1/4, 0}, {1/4, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 3/4, 1/4, 0, 3/4, 0, 0}, {1/4, 0, 1/4, 1/2, 0, 1/2, 0, 0, 0}, 
   {3/4, 1/2, 0, 0, 1/4, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 3/4, 1/4, 0, 1/4}, 
   {1, 0, 0, 0, 3/4, 0, 0, 1/2, 0}, {1/4, 0, 0, 0, 0, 0, 0, 1/2, 3/4}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 0, 1, 0, 1/3}, {0, 0, 0, 2/3, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 2/3, 0}, {0, 1, 0, 0, 0, 1, 0}, 
   {1/3, 0, 2/3, 0, 1, 0, 1}, {0, 1/3, 0, 2/3, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1/2, 1/2}, 
   {0, 1, 1/2, 1, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1}, {0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 2/3, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1/3, 0, 1/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 2/3, 1/3}, {2/3, 0, 1/3, 1/3, 1/3, 1/3, 1/3, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 1}, {0, 1/3, 0, 2/3, 0, 1/3, 0, 0}, 
   {0, 1/3, 0, 0, 0, 1, 0, 0}, {1, 0, 2/3, 0, 0, 0, 1/3, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 3/5, 2/5, 0, 2/5, 1/5, 0, 1/5}, 
   {3/5, 0, 0, 4/5, 0, 0, 1, 0}, {0, 4/5, 0, 2/5, 1/5, 0, 1/5, 1/5}, 
   {2/5, 0, 4/5, 0, 1, 0, 1/5, 1/5}, {2/5, 0, 1, 1/5, 0, 1, 0, 0}, 
   {0, 1, 1/5, 1/5, 0, 1/5, 1/5, 0}, {1/5, 0, 1/5, 1/5, 0, 0, 0, 1}, 
   {1/5, 0, 0, 0, 1, 1/5, 1/5, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1/2, 1}, 
   {1/2, 1, 0, 0, 1, 1, 1, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 1, 0, 0, 1/3}, {0, 0, 0, 1/3, 1, 0, 1/3, 1, 0}, 
   {0, 2/3, 2/3, 1/3, 0, 0, 0, 0, 0}, {0, 2/3, 0, 1/3, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 1/3, 2/3, 0, 2/3, 0, 0}, {0, 0, 2/3, 1/3, 0, 1, 1/3, 1/3, 0}, 
   {2/3, 0, 0, 2/3, 1/3, 0, 0, 0, 1}, {0, 0, 0, 0, 1/3, 2/3, 0, 2/3, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2}, {0, 0, 1, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0}, {1, 0, 1/2, 1/2, 0, 0, 1/2, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 2/3, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, {2/3, 0, 2/3, 0, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 2/3, 1/3, 0, 1/3, 1/3, 0, 1/3}, {2/3, 0, 0, 0, 1/3, 0, 2/3, 1, 0}, 
   {0, 2/3, 0, 0, 1/3, 0, 1/3, 0, 1/3}, {0, 2/3, 0, 1/3, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 0, 1, 0, 1/3, 2/3, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1, 1/2, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1, 0, 1/2, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1, 0, 0, 1/2, 1}, {1/2, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 0, 1/2, 1, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 
    0}, {0, 0, 1/2, 1/2, 1/2, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 1, 0, 2/3, 0, 1/3}, {0, 2/3, 0, 0, 1/3, 1/3, 1/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 1, 0, 0, 1/3}, {0, 2/3, 1/3, 1/3, 0, 1/3, 1, 0}, 
   {0, 0, 0, 0, 1/3, 2/3, 2/3, 1/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1/3, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 0, 1, 0, 2/3, 0, 1/3, 0, 1/3}, 
   {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 0}, {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 2/3, 0, 2/3}, {0, 0, 1/3, 2/3, 0, 2/3, 0, 1/3, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 2/3}, {1, 1/3, 0, 2/3, 0, 0, 1/3, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/5, 0, 3/5, 0, 0, 0, 0}, 
   {3/5, 0, 1/5, 0, 1/5, 0, 4/5, 0}, {3/5, 0, 0, 3/5, 2/5, 0, 2/5, 2/5}, 
   {0, 1, 1, 0, 3/5, 2/5, 0, 0}, {3/5, 0, 2/5, 1/5, 0, 2/5, 0, 4/5}, 
   {0, 2/5, 0, 2/5, 2/5, 2/5, 0, 0}, {0, 2/5, 2/5, 0, 0, 0, 2/5, 2/5}, 
   {2/5, 0, 2/5, 0, 4/5, 2/5, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1/2, 1/2, 1, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {1, 0, 1/3, 0, 0, 0, 0, 1, 0}, {1/3, 0, 1/3, 0, 0, 2/3, 0, 1/3, 2/3}, 
   {0, 1/3, 0, 2/3, 0, 2/3, 1/3, 0, 1/3}, {0, 1, 2/3, 0, 2/3, 0, 0, 1/3, 0}, 
   {1, 0, 1, 2/3, 0, 0, 1/3, 0, 1}, {0, 1/3, 0, 2/3, 0, 0, 0, 1, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 4/5, 1/5, 0, 1/5, 3/5, 0, 1/5}, 
   {0, 0, 4/5, 1, 0, 0, 1/5, 0}, {0, 0, 0, 2/5, 4/5, 0, 0, 2/5}, 
   {4/5, 0, 0, 0, 4/5, 0, 0, 0}, {0, 4/5, 0, 2/5, 0, 0, 0, 2/5}, 
   {4/5, 0, 0, 1/5, 0, 1/5, 0, 1/5}, {2/5, 0, 1/5, 0, 1/5, 2/5, 1/5, 0}, 
   {0, 0, 1/5, 0, 1, 0, 3/5, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 2/3, 0, 0, 1}, {0, 0, 1, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {1/3, 1, 0, 0, 2/3, 0, 1, 1/3, 0}, {0, 0, 1, 0, 0, 2/3, 0, 0, 1/3}, 
   {1/3, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 1/3, 0, 1/3, 0, 1/3, 0}, {0, 0, 0, 0, 1, 0, 1/3, 0, 1/3}, 
   {2/3, 0, 2/3, 0, 0, 1/3, 0, 2/3, 1/3}, {2/3, 0, 0, 2/3, 0, 1, 0, 0, 1/3}, 
   {0, 0, 0, 1/3, 1, 0, 1/3, 1, 0}, {0, 2/3, 0, 0, 1/3, 1/3, 0, 1/3, 1/3}, 
   {0, 0, 0, 1/3, 2/3, 0, 1/3, 0, 2/3}, {0, 2/3, 0, 1/3, 0, 2/3, 1/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/4, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 3/4, 0, 0, 1/4, 0, 0}, {1, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 3/4, 3/4, 0, 0, 1/4}, {0, 1/2, 3/4, 0, 3/4, 0, 0, 0, 1/4}, 
   {1, 0, 1/4, 0, 0, 0, 1/2, 0, 1/2}, {3/4, 1/2, 0, 0, 0, 0, 0, 1/4, 0}, 
   {0, 1/2, 0, 0, 0, 3/4, 3/4, 1/4, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 0, 0, 0, 1/3, 0}, {0, 1/3, 0, 0, 2/3, 2/3, 1/3, 0, 1/3}, 
   {0, 0, 1/3, 2/3, 2/3, 0, 0, 0, 0}, {2/3, 0, 1/3, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 1/3, 2/3, 0, 0, 0, 0, 0}, {1/3, 2/3, 0, 0, 0, 0, 1/3, 0, 1/3}, 
   {1/3, 0, 0, 0, 0, 2/3, 1, 0, 1/3}, {0, 1, 1/3, 0, 2/3, 2/3, 0, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 2/3, 0, 2/3, 1/3, 0, 1/3}, 
   {0, 1/3, 0, 0, 0, 0, 1, 2/3}, {1, 0, 2/3, 0, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 0, 0, 1, 0, 1/3}, {0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 0, 1, 1/3, 0}, 
   {0, 1/3, 2/3, 0, 2/3, 0, 0, 1/3}, {0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 1/3, 1/3, 1, 1/3, 0, 0, 1/3}, 
   {0, 1/3, 2/3, 2/3, 0, 1/3, 1/3, 0}, {1/3, 0, 0, 0, 0, 0, 2/3, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 1/3, 0, 1/3, 1/3, 0, 1}, {0, 0, 2/3, 0, 1/3, 0, 0, 1/3, 0}, 
   {0, 2/3, 0, 1/3, 0, 1, 0, 1/3, 0}, {2/3, 2/3, 0, 1/3, 0, 1/3, 0, 1/3, 0}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 1/3, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/5, 0, 0, 2/5, 0, 0, 2/5, 0, 0}, 
   {0, 4/5, 1/5, 0, 1/5, 1/5, 0, 1/5, 1/5}, {3/5, 0, 1, 0, 0, 3/5, 0, 0, 
    3/5}, {0, 3/5, 2/5, 3/5, 3/5, 0, 3/5, 0, 0}, {3/5, 3/5, 2/5, 0, 3/5, 0, 
    0, 0, 0}, {0, 1, 0, 1/5, 0, 3/5, 1/5, 0, 0}, {1/5, 0, 1/5, 1/5, 3/5, 0, 
    0, 2/5, 2/5}, {1/5, 0, 1/5, 0, 2/5, 2/5, 1/5, 3/5, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1/3, 0, 0, 0, 1/3, 0, 0, 1}, 
   {0, 0, 2/3, 1/3, 0, 0, 2/3, 1/3, 0}, {0, 2/3, 0, 0, 1/3, 2/3, 0, 1/3, 0}, 
   {0, 2/3, 0, 0, 1/3, 0, 2/3, 1/3, 0}, {0, 0, 1/3, 2/3, 0, 1/3, 0, 0, 1}, 
   {0, 0, 1, 0, 2/3, 1/3, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 1/3, 1, 2/3, 0}, 
   {2/3, 0, 0, 1, 2/3, 0, 0, 1/3, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1, 1, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 2/3, 0, 1/3, 0, 1/3}, {1/3, 0, 0, 0, 0, 0, 1/3, 0}, 
   {0, 1, 0, 0, 2/3, 2/3, 1/3, 0}, {1/3, 0, 2/3, 2/3, 0, 1/3, 0, 1/3}, 
   {0, 1, 0, 2/3, 2/3, 0, 1/3, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, {0, 2/3, 2/3, 2/3, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 1, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/5, 0, 3/5, 0, 0, 3/5, 0, 2/5, 3/5}, 
   {0, 2/5, 1, 0, 0, 3/5, 1/5, 0, 1/5}, {4/5, 0, 0, 0, 3/5, 0, 3/5, 1, 0}, 
   {0, 2/5, 2/5, 3/5, 0, 0, 1/5, 4/5, 0}, {1/5, 0, 0, 3/5, 3/5, 0, 0, 0, 
    2/5}, {4/5, 3/5, 0, 0, 0, 0, 0, 0, 1}, {0, 2/5, 2/5, 0, 3/5, 0, 0, 1/5, 
    1/5}, {4/5, 0, 0, 0, 0, 3/5, 2/5, 0, 0}, {1/5, 0, 0, 0, 0, 0, 2/5, 0, 
    3/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 2/3, 0, 0, 1, 1/3, 0}, {1, 0, 0, 0, 0, 0, 0, 1/3}, 
   {0, 1, 0, 0, 0, 0, 0, 1/3}, {1/3, 0, 2/3, 0, 2/3, 1, 1/3, 0}, 
   {0, 1/3, 2/3, 0, 0, 2/3, 0, 1/3}, {2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 3/8, 0, 0, 1/4, 0, 0, 1/2, 1/8}, 
   {0, 0, 3/8, 1/8, 0, 7/8, 1/4, 0, 0}, {0, 3/4, 0, 1/4, 0, 7/8, 0, 5/8, 0}, 
   {3/8, 0, 3/8, 1/8, 1/4, 0, 1/2, 0, 1/2}, {0, 3/8, 0, 1/4, 3/8, 7/8, 0, 
    1/4, 0}, {0, 0, 0, 5/8, 1, 0, 1/8, 1/8, 0}, {3/4, 0, 3/4, 0, 0, 1/8, 0, 
    3/4, 1/4}, {3/8, 3/4, 0, 0, 0, 1/8, 3/4, 0, 5/8}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 1/3, 1/3, 0, 1, 0, 0, 0}, {1/3, 0, 1/3, 0, 1/3, 2/3, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 1/3, 0, 0, 0, 2/3}, {2/3, 1/3, 0, 1/3, 0, 1/3, 2/3, 2/3, 
    0}, {0, 2/3, 0, 2/3, 0, 2/3, 0, 0, 2/3}, {0, 0, 2/3, 2/3, 2/3, 0, 2/3, 0, 
    0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 1, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1, 1/2, 1, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1/2, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 1, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 0, 1, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 2/3, 0, 2/3, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, {0, 1, 1, 0, 0, 1/3, 2/3, 0, 0}, 
   {1/3, 0, 0, 1, 1/3, 0, 0, 2/3, 2/3}, {0, 1, 1/3, 0, 0, 1/3, 2/3, 0, 2/3}, 
   {1/3, 0, 0, 0, 2/3, 1/3, 0, 2/3, 0}, {0, 1/3, 1/3, 1/3, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 2/3, 0, 0, 1/3, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 1, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1/2, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, {0, 1/2, 1, 0, 1, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 2}, {2, 2, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1, 1, 0, 0, 0, 2/3}, {0, 1/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 1, 1/3, 0, 0, 0, 0}, {1/3, 0, 2/3, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 0, 0, 1/3, 2/3, 0, 2/3}, {0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 2/3}, {2/3, 0, 0, 0, 0, 2/3, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1/2, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1, 0, 1, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 1/2, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 1, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, {0, 1/2, 0, 0, 1, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {1/2, 0, 0, 1, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 3/5, 3/5, 0, 1, 0, 0, 0, 4/5}, 
   {1, 0, 0, 3/5, 0, 3/5, 0, 0, 0}, {1/5, 0, 0, 3/5, 0, 3/5, 0, 4/5, 0}, 
   {0, 2/5, 0, 2/5, 0, 0, 4/5, 0, 0}, {2/5, 0, 2/5, 0, 2/5, 2/5, 0, 0, 0}, 
   {4/5, 2/5, 0, 2/5, 0, 0, 0, 0, 0}, {0, 3/5, 1, 3/5, 0, 1, 0, 0, 4/5}, 
   {1/5, 0, 2/5, 2/5, 3/5, 0, 0, 4/5, 0}, {3/5, 2/5, 0, 0, 1, 2/5, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 0, 0, 1/3, 1/3, 0}, {0, 1/3, 0, 0, 2/3, 2/3, 0, 0, 1/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 1, 2/3, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 0, 2/3, 0, 0, 1/3, 1/3, 2/3}, {1/3, 0, 1/3, 0, 0, 0, 0, 2/3, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1, 1}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1, 1}, 
   {1/2, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2}, {1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 
    1/2}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 
    0}, {1/2, 0, 1/2, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 1, 1/2, 1/2, 0}, {0, 0, 1/2, 1, 0, 1, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1/2, 0, 1}, {0, 1, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 1, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 1/2, 1/2, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 1/3, 0, 0, 0, 1, 1/3}, {2/3, 0, 0, 1, 1/3, 1/3, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 2/3}, {0, 0, 0, 1/3, 1/3, 0, 1/3, 1/3}, 
   {0, 2/3, 1/3, 0, 0, 1/3, 0, 0}, {0, 0, 1/3, 0, 2/3, 1/3, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 1/2, 0, 1, 0}, {0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 0, 1/2, 1, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 0, 1, 1}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 1/2, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/5, 0, 0, 4/5, 4/5, 0, 1/5, 1/5}, {0, 1, 2/5, 0, 0, 1, 0, 0}, 
   {3/5, 0, 0, 0, 0, 3/5, 0, 0}, {0, 0, 3/5, 3/5, 0, 0, 3/5, 0}, 
   {3/5, 0, 3/5, 0, 0, 0, 0, 0}, {0, 1/5, 1/5, 0, 0, 0, 2/5, 1}, 
   {1, 0, 4/5, 0, 0, 1/5, 0, 0}, {0, 4/5, 0, 2/5, 1, 1/5, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 1}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 1, 1, 0}, {1/2, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 1/2, 1/2, 0, 1/2}, {1/2, 1/2, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/3, 0, 0}, 
   {1/3, 0, 2/3, 0, 0, 0, 1, 1/3}, {0, 1/3, 0, 2/3, 0, 0, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 1, 0, 1/3}, {2/3, 0, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 2/3, 1/3}, {2/3, 0, 0, 0, 0, 2/3, 0, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 2/3, 2/3, 1/3, 1/3, 0, 0, 0, 1/3}, 
   {1/3, 1, 1/3, 0, 0, 1/3, 0, 0, 1/3}, {2/3, 0, 0, 0, 2/3, 1, 1/3, 1/3, 0}, 
   {2/3, 0, 2/3, 2/3, 0, 1/3, 0, 0, 1/3}, {0, 0, 0, 1, 1/3, 0, 1/3, 1/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 1/3, 0, 2/3, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 2/3, 0, 0, 0, 1/3, 0}, {1/3, 0, 0, 2/3, 0, 1/3, 0, 1/3}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 2/3, 1/3, 0, 1/3}, {1/3, 0, 0, 0, 2/3, 0, 1, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/3, 1, 0, 0, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 0, 1, 0, 2/3}, {2/3, 0, 1/3, 2/3, 0, 1/3, 0, 1/3, 0}, 
   {2/3, 0, 0, 0, 1/3, 1/3, 0, 1/3, 1/3}, {0, 0, 0, 1/3, 2/3, 0, 1/3, 0, 
    1/3}, {0, 2/3, 1/3, 1/3, 0, 0, 1/3, 0, 0}, {2/3, 1/3, 0, 0, 1/3, 0, 0, 1, 
    0}, {1, 0, 2/3, 0, 0, 1/3, 2/3, 0, 1/3}, {0, 0, 0, 0, 1/3, 1/3, 1/3, 2/3, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 1, 1/2, 1/2, 0, 0, 1/2, 0, 
    1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 
    1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 1, 1/3, 0, 2/3, 0, 0}, {1, 0, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 1, 1, 0, 0, 1/3, 0, 2/3, 0}, 
   {2/3, 1/3, 1/3, 0, 0, 1/3, 2/3, 0, 2/3}, {1, 0, 0, 1, 1/3, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 2/3, 2/3}, {0, 0, 1/3, 0, 2/3, 2/3, 0, 1, 1/3}, 
   {2/3, 0, 1/3, 0, 0, 2/3, 0, 1, 1/3}, {1/3, 1/3, 0, 2/3, 0, 0, 1, 0, 0}, 
   {0, 0, 1/3, 2/3, 0, 0, 1/3, 0, 0}, {1/3, 1/3, 0, 0, 2/3, 0, 0, 1/3, 1/3}, 
   {0, 0, 1/3, 0, 0, 0, 1/3, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1/4, 0, 0, 0, 1/4, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 3/4}, {0, 0, 3/4, 1, 0, 1/4, 1/2, 0, 1/2}, 
   {0, 0, 0, 3/4, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 0, 3/4, 3/4, 0, 0, 1/4}, 
   {1/2, 3/4, 0, 0, 0, 0, 0, 0, 1}, {0, 1/4, 1/4, 0, 0, 3/4, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 1/2, 1/2, 0, 1/2}, {1/2, 1, 0, 1/2, 0, 1/2, 0, 1/2, 
    1/2}, {0, 1/2, 1/2, 1, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 0, 1/2, 0, 1, 0, 1, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 0, 1}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1/2, 1, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 1, 1, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 1, 1}, {0, 0, 2/3, 0, 1/3, 1/3, 0, 2/3}, 
   {0, 2/3, 1/3, 1/3, 0, 0, 1/3, 1/3}, {0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/5, 0, 2/5, 2/5, 0, 0, 0}, {2/5, 0, 0, 0, 4/5, 0, 2/5, 0, 2/5}, 
   {2/5, 0, 2/5, 0, 0, 0, 0, 2/5, 0}, {1, 4/5, 0, 0, 2/5, 2/5, 0, 1, 0}, 
   {0, 3/5, 1/5, 4/5, 0, 0, 3/5, 0, 3/5}, {3/5, 2/5, 2/5, 0, 0, 0, 2/5, 3/5, 
    0}, {0, 1/5, 3/5, 0, 0, 0, 0, 3/5, 2/5}, {3/5, 0, 0, 0, 0, 4/5, 3/5, 0, 
    3/5}, {0, 3/5, 1/5, 2/5, 0, 0, 0, 3/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1/2}, {1/2, 0, 1/2, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 1, 1, 1, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 1/2, 0, 1/2, 0, 1/2, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 1/3, 1/3, 0, 0, 0, 1/3, 1/3, 0}, {0, 0, 1, 0, 1/3, 0, 1/3, 0, 2/3}, 
   {1/3, 1/3, 0, 0, 1/3, 0, 0, 1, 1/3}, {1, 1/3, 0, 1, 0, 1/3, 1/3, 0, 0}, 
   {0, 1/3, 2/3, 1/3, 0, 1/3, 0, 1/3, 0}, {1/3, 0, 1/3, 2/3, 1/3, 0, 0, 1/3, 
    0}, {2/3, 1, 0, 0, 1, 0, 1, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 1/3, 0, 1, 1/3, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 2/3, 1/3, 0}, {0, 0, 2/3, 1/3, 0, 0, 1, 0}, 
   {0, 2/3, 1, 0, 1, 0, 1/3, 0}, {0, 0, 1/3, 0, 1, 0, 1, 2/3}, 
   {0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 1/3, 0, 2/3, 1}, 
   {0, 2/3, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 2/3, 2/3, 0, 1/3, 0, 0, 1/3}, 
   {0, 2/3, 0, 0, 0, 1, 1/3, 1/3, 0}, {0, 0, 2/3, 0, 2/3, 1/3, 1, 1/3, 0}, 
   {0, 2/3, 0, 1/3, 1/3, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 3/5}, {3/5, 0, 0, 0, 3/5, 0, 0, 0}, 
   {4/5, 0, 0, 1, 2/5, 1/5, 3/5, 0}, {0, 1, 1/5, 0, 0, 4/5, 0, 0}, 
   {4/5, 0, 1/5, 0, 3/5, 0, 2/5, 1}, {0, 4/5, 0, 1/5, 1/5, 0, 4/5, 1/5}, 
   {1, 0, 2/5, 3/5, 0, 2/5, 0, 3/5}, {2/5, 0, 1, 0, 0, 1, 3/5, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 1, 0, 1/2, 0, 1/2}, {1, 1, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1}, {0, 1, 1, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 1}, {1, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 1, 1/2, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 2/3}, {1/3, 0, 0, 1/3, 0, 2/3, 0, 2/3}, 
   {0, 1/3, 1/3, 0, 1, 0, 0, 0}, {1, 0, 0, 1/3, 0, 2/3, 0, 0}, 
   {1, 0, 1/3, 0, 1/3, 2/3, 0, 0}, {0, 1/3, 0, 1, 0, 0, 2/3, 0}, 
   {1/3, 0, 1/3, 2/3, 1/3, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1, 1}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2}, {0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1/4, 1/4}, {0, 0, 1/4, 0, 1/4, 1, 0, 0}, 
   {1/4, 0, 0, 3/4, 3/4, 1/4, 1/2, 0}, {1/4, 0, 1/2, 0, 0, 1, 0, 3/4}, 
   {0, 1, 1/2, 0, 0, 0, 1/4, 1}, {0, 1/4, 0, 3/4, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 3/4, 1/4, 0, 0, 3/4, 0}, {0, 1/4, 1/2, 0, 1, 0, 3/4, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/4, 0, 0}, 
   {0, 0, 0, 1/4, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/4, 1/4, 1/2, 1/4}, {0, 3/4, 1/4, 0, 1/2, 0, 1, 0}, 
   {3/4, 0, 3/4, 0, 1/2, 0, 0, 1/4}, {0, 0, 1/4, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 3/4, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 0, 0, 1/3, 1/3}, 
   {0, 1/3, 2/3, 0, 0, 1/3, 0, 0}, {2/3, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 2/3}, {0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {1, 0, 0, 2/3, 0, 1/3, 2/3, 0}, {1/3, 0, 0, 2/3, 2/3, 1/3, 0, 0}, 
   {0, 1, 2/3, 0, 2/3, 0, 1, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 2/3, 0, 0, 1/3, 1}, {1, 0, 1/3, 2/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 2/3, 0, 0, 0, 0}, {0, 1/3, 2/3, 0, 0, 2/3, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 2/3, 0}, {1, 0, 1/3, 0, 0, 2/3, 0, 1/3, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1/2, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 1, 1, 0}, {1, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1/2, 1/2}, {0, 1/2, 0, 1, 0, 1, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 2/3, 0, 1, 0, 1/3}, 
   {1/3, 0, 1, 0, 2/3, 0, 0, 1, 2/3}, {1/3, 2/3, 1, 0, 0, 0, 0, 1/3, 0}, 
   {1/3, 0, 1, 0, 0, 2/3, 1, 0, 1/3}, {2/3, 1/3, 0, 2/3, 0, 2/3, 0, 1/3, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 1, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/4, 1/2, 0, 1, 0, 0, 0, 0}, {1, 1/4, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {3/4, 0, 1/2, 3/4, 1/4, 0, 0, 0, 3/4}, {0, 1/2, 1, 1/4, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/4, 0, 1/2, 1, 0, 3/4, 0, 0}, {1/4, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/4, 0, 3/4, 0, 1/2, 0, 0, 0}, {3/4, 1/4, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/4, 1/4, 0, 0, 3/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 1, 1, 0, 1, 1/3, 0, 2/3, 0}, {1/3, 0, 0, 1/3, 2/3, 0, 2/3, 0, 2/3}, 
   {1/3, 2/3, 0, 1/3, 0, 0, 2/3, 2/3, 0}, {0, 1/3, 1/3, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/3, 1/3, 0, 2/3, 0}, {0, 1/3, 1/3, 1/3, 0, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 1/2, 1/2}, {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 1/3, 1/3, 1/3, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 2/3, 1/3, 2/3, 0, 0, 1/3, 1/3}, 
   {0, 2/3, 0, 0, 1/3, 1, 0, 1/3, 1}, {2/3, 0, 0, 1, 0, 0, 1/3, 0, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 1/3, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 1, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1, 1, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 1}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1, 1}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 1/2, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 1}, {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 1, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, {1/2, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/3, 0, 1/3, 1, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 1, 1, 0, 2/3, 0, 0, 0}, {0, 1/3, 1, 0, 0, 0, 0, 2/3}, 
   {1/3, 0, 0, 1/3, 1/3, 0, 2/3, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/4, 0, 1/4, 1/4, 0, 1, 0, 1/4, 1}, 
   {1, 1/4, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/4, 0, 0, 0, 3/4, 0}, 
   {0, 1/4, 1, 0, 1/2, 1/4, 1/4, 0, 3/4}, {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 
    1/2}, {1/2, 0, 0, 1, 0, 1/2, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/4, 0, 0, 0, 1/2, 0, 3/4}, 
   {0, 3/4, 1/4, 0, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/4, 1/4}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1/4, 0, 3/4, 0, 1/2, 1/4, 0, 
    0}, {1, 0, 1/2, 1/4, 1/4, 0, 1/4, 3/4, 0}, {0, 1/4, 1/4, 1/2, 1/2, 0, 0, 
    0, 0}, {1/2, 0, 3/4, 0, 0, 1/4, 0, 3/4, 0}, {1/2, 0, 0, 0, 3/4, 1/4, 0, 
    0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/3, 2/3, 1, 1/3, 0}, {0, 0, 1, 0, 1, 0, 0, 1/3}, 
   {2/3, 0, 1/3, 0, 1/3, 2/3, 0, 1/3}, {2/3, 0, 0, 1/3, 0, 0, 0, 1}, 
   {2/3, 0, 1, 0, 1/3, 1/3, 1/3, 0}, {0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 1, 0, 0, 1, 1, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1/2}, {0, 1/2, 0, 1, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1}, {1/2, 0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 1, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 1, 1/3, 0, 1/3, 1}, {2/3, 0, 1/3, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/3, 1/3, 1, 2/3, 0}, {1/3, 1/3, 1/3, 2/3, 0, 1/3, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1}, {1/2, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/7, 0, 0, 3/7, 1, 3/7, 0, 3/7}, {1/7, 0, 4/7, 2/7, 5/7, 0, 3/7, 3/7, 
    0}, {6/7, 5/7, 0, 3/7, 0, 4/7, 0, 3/7, 0}, {2/7, 4/7, 0, 2/7, 4/7, 0, 0, 
    0, 0}, {4/7, 0, 2/7, 0, 2/7, 4/7, 0, 0, 0}, {0, 2/7, 4/7, 4/7, 0, 2/7, 0, 
    0, 0}, {0, 5/7, 2/7, 0, 1/7, 4/7, 0, 3/7, 0}, 
   {4/7, 0, 0, 5/7, 0, 0, 3/7, 0, 3/7}, {1/7, 0, 3/7, 2/7, 0, 0, 0, 3/7, 
    3/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 2/3, 2/3, 0, 0, 1/3, 1}, 
   {1/3, 0, 0, 0, 2/3, 1/3, 0, 0}, {0, 1, 0, 0, 0, 1/3, 0, 2/3}, 
   {0, 1/3, 2/3, 2/3, 0, 1/3, 0, 0}, {1/3, 0, 2/3, 0, 0, 0, 1/3, 1/3}, 
   {0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {1/3, 0, 0, 0, 1/3, 2/3, 0, 0}, {0, 1/3, 1, 1/3, 0, 0, 2/3, 0}, 
   {1, 0, 1/3, 1/3, 0, 0, 2/3, 0}, {1/3, 0, 1, 1, 0, 0, 0, 2/3}, 
   {0, 1/3, 0, 2/3, 1, 0, 2/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 0, 2/5, 0, 3/5, 3/5, 0}, {1/5, 0, 2/5, 0, 2/5, 0, 0, 1}, 
   {0, 0, 0, 2/5, 2/5, 2/5, 0, 2/5}, {0, 0, 2/5, 0, 0, 4/5, 2/5, 0}, 
   {0, 4/5, 2/5, 0, 0, 0, 2/5, 0}, {0, 1/5, 0, 4/5, 2/5, 0, 2/5, 3/5}, 
   {0, 1/5, 2/5, 2/5, 0, 2/5, 0, 1}, {3/5, 0, 0, 0, 2/5, 1/5, 3/5, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 1, 1, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, {1/2, 1/2, 0, 0, 0, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/5, 0, 3/5, 0, 2/5, 0, 0, 1/5, 0}, 
   {4/5, 1/5, 0, 2/5, 0, 0, 1/5, 0, 1}, {1/5, 1, 0, 0, 0, 3/5, 0, 1, 0}, 
   {1/5, 1/5, 0, 1/5, 1, 0, 3/5, 0, 3/5}, {0, 0, 1, 4/5, 0, 3/5, 1/5, 0, 
    1/5}, {0, 1/5, 3/5, 3/5, 1/5, 0, 0, 2/5, 0}, {3/5, 0, 2/5, 0, 2/5, 1/5, 
    0, 2/5, 0}, {1/5, 4/5, 0, 2/5, 0, 1, 4/5, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1/2, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 2/3, 1, 0, 2/3, 0, 1/3, 0}, 
   {2/3, 0, 0, 1, 1/3, 1/3, 0, 1/3}, {0, 0, 1, 0, 2/3, 0, 1, 0}, 
   {0, 0, 0, 1, 1/3, 0, 1/3, 0}, {2/3, 0, 1/3, 0, 2/3, 1/3, 0, 1}, 
   {0, 2/3, 1/3, 2/3, 0, 1/3, 0, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1/3, 0, 0, 0, 0}, 
   {0, 1/3, 1/3, 0, 1/3, 0, 2/3, 0}, {0, 1/3, 2/3, 1/3, 0, 0, 0, 2/3}, 
   {1, 0, 1, 0, 1/3, 0, 2/3, 0}, {0, 1/3, 0, 1/3, 0, 2/3, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 2/3, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 
    1/2}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 
    0}, {0, 1, 1/2, 1/2, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1, 0, 0, 1, 0, 0}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 1, 1/2, 0, 0, 0, 1/2, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 3/4, 0, 1/2, 0, 0, 3/4, 0}, {1/2, 0, 1/2, 1/4, 0, 1/4, 3/4, 0, 0}, 
   {0, 1, 0, 0, 1/2, 3/4, 0, 0, 0}, {0, 1/4, 1/4, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/4, 3/4}, {1/2, 0, 0, 0, 3/4, 0, 0, 1/4, 0}, 
   {0, 1/4, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {1/4, 1/2, 0, 3/4, 1/4, 0, 1/4, 0, 
    1/4}, {1/2, 0, 1, 0, 1/4, 0, 0, 1/2, 3/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 1/3, 0, 0, 0, 1/3}, {2/3, 0, 0, 1/3, 0, 1/3, 1/3, 1/3, 0}, 
   {0, 2/3, 0, 0, 1/3, 0, 0, 0, 1/3}, {2/3, 0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 0, 1/3, 0, 1/3, 2/3, 0, 1/3}, {2/3, 0, 2/3, 0, 1/3, 0, 1/3, 1/3, 
    0}, {2/3, 2/3, 0, 1/3, 0, 1/3, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1}, {0, 1, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1, 1/2, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1, 0, 1/2}, {1, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 1, 0, 0, 0, 1/3, 0, 1}, 
   {0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {1, 0, 0, 2/3, 0, 1/3, 0, 1/3}, 
   {2/3, 1/3, 0, 0, 0, 0, 1/3, 2/3}, {0, 1/3, 0, 2/3, 0, 2/3, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 1, 1/4, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/4, 1/4, 1, 0, 1/4, 0, 1/4}, {0, 1/2, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/4, 0, 1, 1/2, 0, 1/2, 3/4, 0}, {1/4, 0, 0, 1, 1/2, 0, 1/4, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 1/3, 0, 0, 2/3, 1, 1/3, 0}, 
   {1/3, 0, 0, 2/3, 0, 0, 0, 1}, {0, 1, 0, 0, 2/3, 0, 0, 1}, 
   {1/3, 2/3, 0, 2/3, 0, 1/3, 1/3, 0}, {1/3, 0, 2/3, 2/3, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/4, 0, 1/4, 0, 1/4, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/4}, 
   {1/4, 0, 0, 3/4, 1/4, 0, 0, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 
    1/2}, {1/4, 3/4, 0, 0, 1/4, 0, 3/4, 1, 0}, {0, 1/4, 1/4, 0, 0, 3/4, 0, 
    1/2, 1/2}, {1/2, 0, 3/4, 0, 0, 3/4, 1/4, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 3/4}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 3/4, 0, 3/4, 0, 1/2, 0, 0, 1/4}, 
   {0, 0, 0, 1/4, 1, 0, 1/2, 1/2, 0}, {3/4, 0, 0, 0, 3/4, 1/2, 3/4, 0, 1/4}, 
   {0, 1/4, 1/4, 0, 3/4, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/4, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 3/4, 3/4, 0, 1/2, 1/4, 1/4, 0}, {1/4, 0, 0, 0, 0, 1/2, 0, 3/4, 
    0}, {1/4, 0, 0, 3/4, 0, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 1/4, 1/4, 0, 0, 0, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 0, 1, 0, 1/3}, {0, 2/3, 1/3, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 0, 1, 2/3}, {0, 2/3, 2/3, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 1, 0, 1/3, 1/3, 0, 1/3}, {2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 2/3, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1}, {1/2, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, 
   {0, 1/3, 1/3, 0, 1/3, 1/3, 0, 0, 2/3}, {1, 0, 0, 1/3, 0, 0, 0, 2/3, 0}, 
   {1, 0, 0, 1/3, 2/3, 0, 0, 0, 0}, {0, 1/3, 1, 1/3, 0, 0, 2/3, 0, 0}, 
   {1, 0, 2/3, 0, 1, 1/3, 0, 0, 0}, {1/3, 0, 0, 0, 1/3, 1/3, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 1, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 1/3, 1/3, 0, 1}, {0, 2/3, 1/3, 1/3, 0, 0, 1, 0}, 
   {0, 0, 1/3, 1/3, 0, 1, 0, 1/3}, {0, 0, 0, 0, 1/3, 2/3, 1/3, 0}, 
   {2/3, 0, 0, 2/3, 1/3, 0, 1/3, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 2/3, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 2/3, 0, 0, 1, 1/3, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1/3}, {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 2/3, 0, 0, 1}, {0, 1/3, 1, 2/3, 2/3, 0, 1/3, 1/3, 0}, 
   {1/3, 0, 2/3, 0, 2/3, 0, 2/3, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 1/3, 0, 0, 0, 2/3}, 
   {1, 0, 1, 0, 0, 0, 1/3, 0, 0}, {1/3, 0, 0, 0, 1, 1, 1/3, 1/3, 0}, 
   {0, 2/3, 1/3, 0, 0, 1/3, 0, 1/3, 1/3}, {1/3, 0, 0, 1, 1, 0, 0, 2/3, 0}, 
   {0, 1, 0, 2/3, 0, 1/3, 0, 0, 0}, {2/3, 0, 0, 0, 1/3, 1/3, 1/3, 0, 2/3}, 
   {0, 1, 0, 1/3, 0, 0, 2/3, 2/3, 0}, {1, 0, 1/3, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 1, 1/2, 0, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/4, 1/4, 0, 1/2, 1/2, 3/4, 0, 1/4}, {3/4, 0, 1, 1/2, 0, 0, 1, 3/4, 
    0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1/4, 0, 0, 3/4, 1/4}, 
   {0, 0, 0, 1/2, 1/4, 0, 0, 1/4, 1/4}, {1/4, 1/2, 0, 1/4, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/4, 1/2, 3/4, 1/4, 1/4, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 3/4}, 
   {0, 3/4, 0, 1/4, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/5, 0, 0, 1, 2/5, 1, 0}, {0, 2/5, 2/5, 0, 2/5, 1, 0, 1/5, 0}, 
   {0, 0, 0, 1/5, 1, 0, 1/5, 0, 1}, {4/5, 0, 0, 0, 2/5, 1/5, 0, 4/5, 1/5}, 
   {0, 0, 0, 3/5, 1, 0, 1/5, 1, 0}, {2/5, 0, 0, 2/5, 0, 1, 0, 0, 3/5}, 
   {0, 2/5, 2/5, 0, 0, 2/5, 1/5, 0, 2/5}, {0, 0, 0, 2/5, 0, 0, 3/5, 0, 2/5}, 
   {0, 2/5, 0, 2/5, 0, 0, 3/5, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 1, 0, 2/3, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1/3, 0, 0, 0, 0, 0, 2/3, 1/3, 0}, 
   {2/3, 1/3, 0, 0, 0, 1/3, 1/3, 0, 0}, {0, 0, 0, 0, 1, 1/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 1, 0, 1, 2/3, 1, 0}, {0, 1/3, 2/3, 1/3, 0, 0, 0, 1/3, 2/3}, 
   {1/3, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 1, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 1, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 1, 1/2, 1, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1/2, 0, 0, 1, 1, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 1/2, 1, 0, 1/2, 1/2, 0, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 1, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1, 0, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/5, 0, 0, 0, 2/5}, {2/5, 0, 2/5, 0, 0, 0, 2/5, 0}, 
   {3/5, 0, 0, 0, 2/5, 0, 3/5, 0}, {3/5, 0, 0, 0, 4/5, 0, 1/5, 0}, 
   {0, 1, 4/5, 0, 0, 1, 0, 3/5}, {1, 0, 4/5, 2/5, 0, 3/5, 0, 3/5}, 
   {0, 3/5, 0, 2/5, 4/5, 2/5, 1/5, 0}, {0, 1, 2/5, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1, 0, 1/4, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 3/4}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {3/4, 1/4, 0, 1/4, 0, 0, 1/4, 0, 0}, 
   {0, 0, 1/4, 0, 3/4, 3/4, 1/2, 0, 1}, {0, 0, 3/4, 0, 0, 1/2, 1/2, 1, 0}, 
   {1/4, 3/4, 0, 3/4, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/4}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1, 1}, {0, 1/2, 1, 1, 0, 0, 1/2, 0, 1/2}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 1, 0, 0}, {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 1, 0, 1/2, 1/2, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1/2, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, {1, 0, 1, 0, 1/2, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1/2, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1/2, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, {0, 0, 1/2, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 1, 0, 1/3, 1, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 0, 0}, {1/3, 0, 0, 1, 1, 0, 2/3, 0}, 
   {0, 1, 1/3, 0, 0, 2/3, 0, 2/3}, {0, 1/3, 1/3, 2/3, 0, 0, 0, 2/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 1/2, 1, 0, 1}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1/3, 1/3, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0, 1/3}, {2/3, 0, 1/3, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 1/3, 0, 2/3, 2/3, 0, 1/3, 0, 1/3}, {1/3, 2/3, 0, 1, 0, 0, 1/3, 1/3, 
    0}, {0, 2/3, 0, 0, 1/3, 1, 0, 1/3, 0}, {1/3, 0, 1, 0, 0, 0, 1/3, 1, 0}, 
   {1/3, 1, 0, 0, 0, 2/3, 0, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 4/5, 1/5, 0, 0, 3/5, 0, 2/5, 1/5}, {2/5, 0, 2/5, 0, 1, 0, 0, 3/5, 0}, 
   {1/5, 1, 0, 2/5, 0, 1, 0, 0, 0}, {3/5, 0, 2/5, 2/5, 0, 1/5, 0, 0, 3/5}, 
   {0, 4/5, 0, 3/5, 2/5, 0, 3/5, 0, 0}, {2/5, 0, 0, 0, 0, 4/5, 4/5, 3/5, 0}, 
   {2/5, 0, 1, 1, 0, 1/5, 3/5, 0, 0}, {0, 3/5, 1/5, 0, 2/5, 1/5, 0, 0, 2/5}, 
   {0, 4/5, 0, 0, 3/5, 0, 0, 0, 3/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1/2, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 2/3, 0, 1}, {1/3, 0, 2/3, 0, 0, 1/3, 1, 0}, 
   {0, 1/3, 0, 0, 2/3, 1/3, 1, 0}, {1/3, 0, 0, 2/3, 2/3, 0, 0, 1/3}, 
   {1, 0, 0, 0, 0, 2/3, 0, 1}, {2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 4/5, 2/5, 0, 4/5, 0, 0, 0}, 
   {2/5, 0, 0, 0, 0, 0, 0, 4/5, 0}, {1/5, 3/5, 0, 0, 0, 0, 2/5, 0, 1}, 
   {3/5, 3/5, 0, 2/5, 0, 2/5, 0, 0, 1}, {0, 0, 1, 0, 2/5, 0, 1, 1/5, 0}, 
   {2/5, 0, 3/5, 2/5, 2/5, 0, 0, 0, 1}, {0, 0, 3/5, 0, 2/5, 0, 0, 2/5, 1}, 
   {3/5, 1, 0, 0, 0, 0, 1, 1/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 1, 1, 0, 2/3, 0, 0}, {1, 2/3, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 0, 2/3, 0, 1/3, 0, 0, 2/3}, {0, 1/3, 1, 0, 2/3, 1/3, 0, 0, 0}, 
   {0, 1/3, 1/3, 0, 0, 1/3, 2/3, 2/3, 0}, {1/3, 0, 0, 1, 1, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 0, 0, 0, 0, 2/3, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 1/3, 1/3, 2/3, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1/3}, {1/3, 1, 0, 0, 0, 1/3, 1/3, 2/3, 0}, 
   {0, 0, 0, 1/3, 0, 1/3, 0, 0, 1/3}, {0, 0, 2/3, 1/3, 0, 0, 0, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 1/3, 0, 0, 1, 1/3, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 1, 0, 0, 0}, {2/3, 1, 0, 1/3, 2/3, 0, 1/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 1, 1/2}, {1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1, 1/2, 1, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 1, 1, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 1, 0, 0}, 
   {0, 1, 1/2, 1, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 1/2, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1, 0, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/5, 1/5, 1/5, 0, 1/5, 0, 0, 3/5, 4/5}, {0, 4/5, 0, 0, 1, 0, 1/5, 0, 1}, 
   {2/5, 0, 2/5, 3/5, 0, 1, 0, 3/5, 0}, {0, 2/5, 0, 0, 3/5, 0, 0, 1, 0}, 
   {0, 2/5, 0, 1, 0, 1, 3/5, 0, 3/5}, {4/5, 0, 0, 2/5, 1, 0, 0, 1/5, 0}, 
   {0, 0, 0, 4/5, 0, 4/5, 0, 0, 0}, {2/5, 0, 2/5, 0, 0, 2/5, 2/5, 0, 0}, 
   {0, 0, 4/5, 0, 0, 0, 4/5, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 1/3, 0, 0}, {0, 0, 0, 1, 1/3, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 1/3, 0, 1}, {1/3, 1/3, 0, 1, 1, 0, 0, 0, 2/3}, 
   {1/3, 0, 1/3, 0, 0, 1/3, 1/3, 2/3, 2/3}, {0, 0, 2/3, 0, 2/3, 1, 0, 1/3, 
    0}, {0, 1/3, 0, 1/3, 0, 1, 0, 0, 0}, {0, 2/3, 0, 0, 0, 1, 0, 0, 1/3}, 
   {0, 0, 1/3, 0, 0, 0, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 2/3, 0, 2/3, 1/3, 0, 0, 0}, {0, 0, 2/3, 0, 1, 0, 1/3, 0, 0}, 
   {2/3, 1/3, 0, 2/3, 0, 1, 0, 2/3, 1/3}, {0, 1/3, 1, 2/3, 0, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 0, 2/3, 0, 1/3}, {0, 1/3, 0, 1/3, 1, 0, 0, 0, 1/3}, 
   {0, 0, 0, 1, 0, 1, 1/3, 0, 0}, {1/3, 2/3, 0, 0, 0, 2/3, 0, 1/3, 0}, 
   {2/3, 1/3, 0, 0, 0, 0, 0, 2/3, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {1, 0, 2/3, 2/3, 0, 0, 0, 1}, {1, 0, 0, 0, 2/3, 2/3, 0, 1/3}, 
   {0, 1, 0, 2/3, 0, 1, 1, 0}, {0, 1/3, 0, 0, 2/3, 0, 2/3, 1/3}, 
   {1, 0, 0, 2/3, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1}, {1, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1/3, 1, 0}, {0, 0, 0, 1/3, 1, 0, 0, 0, 1}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 1, 2/3, 0, 1}, 
   {2/3, 0, 0, 1/3, 1, 0, 1/3, 1, 0}, {2/3, 0, 2/3, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0, 1}, {0, 0, 0, 1/2, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1/2, 1, 0, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1, 1/2}, {0, 0, 1, 0, 0, 1/2, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1, 0, 1/3, 0, 2/3}, 
   {1/3, 1, 0, 0, 2/3, 0, 0, 1/3, 1/3}, {1/3, 0, 1, 2/3, 0, 1/3, 2/3, 0, 0}, 
   {0, 1, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 0, 1/3, 0, 1, 1/3, 0, 1/3, 0}, 
   {0, 0, 1/3, 0, 2/3, 0, 0, 2/3, 1/3}, {2/3, 0, 0, 1/3, 0, 1/3, 1/3, 0, 0}, 
   {0, 1/3, 0, 1/3, 2/3, 0, 2/3, 1/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 1, 0, 1/2, 0, 0, 1, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1/2, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1/3, 0, 0, 0}, {0, 2/3, 1/3, 0, 1, 0, 1/3, 0, 0}, 
   {1, 0, 2/3, 2/3, 0, 1/3, 1/3, 1/3, 0}, {0, 1/3, 1/3, 1/3, 0, 0, 1/3, 2/3, 
    0}, {0, 2/3, 0, 1, 0, 2/3, 0, 0, 1/3}, {1/3, 0, 1, 0, 2/3, 1/3, 0, 0, 0}, 
   {1/3, 0, 0, 1/3, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 2/3, 0, 1, 0, 0, 0}, 
   {2/3, 0, 0, 0, 1/3, 0, 0, 1/3, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 0, 1/2, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 1, 1, 0}, 
   {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 2/5, 0, 0, 4/5, 4/5, 0, 0, 4/5}, {2/5, 0, 4/5, 0, 0, 0, 0, 2/5, 0}, 
   {4/5, 2/5, 0, 0, 0, 0, 4/5, 0, 4/5}, {1/5, 3/5, 0, 2/5, 0, 1/5, 0, 4/5, 
    0}, {3/5, 1, 0, 0, 0, 1/5, 2/5, 4/5, 0}, {0, 0, 1, 3/5, 3/5, 0, 2/5, 0, 
    4/5}, {2/5, 0, 1/5, 0, 0, 3/5, 2/5, 0, 2/5}, {1/5, 3/5, 0, 3/5, 1/5, 0, 
    0, 0, 0}, {0, 0, 1/5, 0, 2/5, 1/5, 2/5, 2/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 1, 0, 0, 2/3, 0, 0}, {1/3, 1, 0, 0, 1/3, 1/3, 0, 0, 0}, 
   {0, 0, 1, 0, 1/3, 1, 0, 0, 0}, {1/3, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/3, 1/3, 0, 0, 2/3}, {2/3, 0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 2/3, 2/3}, {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 2/3, 1, 0, 0}, {1/3, 2/3, 0, 0, 1, 0, 0, 2/3, 2/3}, 
   {1/3, 0, 0, 1, 0, 0, 0, 1/3, 1/3}, {0, 0, 0, 1, 0, 1/3, 0, 0, 1/3}, 
   {0, 1, 1/3, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 1, 0, 1, 0, 0}, 
   {1/3, 0, 0, 0, 0, 1, 0, 1, 2/3}, {0, 0, 2/3, 0, 1, 0, 1/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}, {1, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1/3, 1/3, 0, 1/3, 0}, 
   {1/3, 0, 1, 2/3, 0, 0, 0, 0}, {0, 1/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 1/3, 1, 1/3, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 1/3, 0, 2/3, 0, 0, 0}, {1, 0, 0, 0, 2/3, 0, 0, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1/4, 0, 1/4, 0, 1/4, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 1, 0, 1/4, 
    0}, {1/2, 3/4, 0, 3/4, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/6, 1/3, 1/3, 1/2, 1/3, 0, 0}, 
   {0, 0, 2/3, 2/3, 1/2, 0, 1/3, 2/3, 0}, {0, 1/6, 0, 1/2, 0, 1/2, 2/3, 0, 
    1/2}, {5/6, 5/6, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 1/3, 0, 0, 1/2, 0, 1/6, 
    0, 1/2}, {1/3, 0, 1/2, 0, 0, 5/6, 0, 1/6, 0}, 
   {0, 1/6, 0, 0, 0, 0, 0, 1/2, 1/3}, {1/3, 1/2, 0, 0, 0, 1/3, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/6, 2/3, 0, 1/6, 0, 1/6}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1, 0, 1, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1, 1, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 1, 0, 0, 1/2, 0, 1, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 1, 0, 0, 0, 1/2, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 1, 1/2, 0}, {1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 1}, {1/2, 0, 1, 1/2, 0, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1/3}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1/3}, {1/3, 0, 2/3, 1/3, 0, 1/3, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 2/3}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1/3, 1, 0}, 
   {0, 2/3, 1/3, 0, 1, 0, 0, 1}, {2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 2/3, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1/3, 0, 1, 1/3, 1, 0}, {0, 0, 0, 1, 0, 2/3, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1/2, 0, 1, 0, 0, 0, 1, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1/2, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {1, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{4/7, 0, 0, 0, 2/7, 0, 0, 0, 0}, 
   {0, 0, 0, 4/7, 0, 2/7, 2/7, 2/7, 0}, {4/7, 2/7, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 4/7, 2/7, 0, 1/7, 3/7, 0, 3/7, 2/7}, {0, 0, 4/7, 1, 4/7, 0, 1/7, 0, 
    5/7}, {0, 4/7, 0, 0, 3/7, 1, 0, 3/7, 0}, {4/7, 0, 4/7, 3/7, 0, 6/7, 0, 
    1/7, 0}, {0, 0, 4/7, 0, 1/7, 1, 3/7, 0, 3/7}, 
   {0, 4/7, 0, 1, 4/7, 0, 2/7, 3/7, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 1, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1/2, 1, 1, 1/2, 0}, {1/2, 0, 1, 1/2, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1/2, 0, 1, 1, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {0, 1/2, 1, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 1, 1, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, {1, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 1, 0, 1, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1, 0, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1, 1}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 1, 0, 0, 0}, 
   {0, 1/3, 0, 0, 0, 1, 2/3, 0}, {0, 0, 1/3, 1, 0, 0, 0, 2/3}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1/3, 0, 2/3, 0, 0, 1/3, 1/3}, 
   {1/3, 0, 1/3, 1, 0, 0, 0, 2/3}, {0, 1, 0, 0, 1/3, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/3, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 0, 2/3, 1/3, 0, 1/3, 0, 0}, {0, 0, 1/3, 1/3, 0, 2/3, 1/3, 1/3, 
    0}, {2/3, 0, 0, 1/3, 0, 0, 0, 2/3, 0}, {0, 1/3, 1/3, 0, 1/3, 2/3, 0, 0, 
    0}, {1/3, 0, 0, 0, 0, 1/3, 2/3, 0, 2/3}, {1/3, 0, 1/3, 0, 0, 0, 2/3, 0, 
    2/3}, {0, 2/3, 2/3, 1, 1/3, 0, 0, 1/3, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1, 1/2, 0, 1, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 1, 0}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 1, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 1/3, 2/3, 0, 1, 2/3, 0, 2/3}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {2/3, 1/3, 0, 0, 1/3, 0, 0, 2/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 1, 1/2}, 
   {1, 1/2, 0, 0, 0, 1, 0, 1, 0}, {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, {1/2, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1/2, 1/2, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 0, 1, 0, 0, 1/2, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 2/3, 2/3, 1/3, 0, 0, 1, 1, 0}, {2/3, 2/3, 0, 0, 1/3, 1/3, 0, 0, 1}, 
   {0, 0, 2/3, 1/3, 0, 2/3, 1/3, 1, 0}, {0, 0, 0, 1/3, 0, 0, 2/3, 0, 1/3}, 
   {0, 0, 2/3, 1/3, 2/3, 0, 0, 0, 1/3}, {0, 2/3, 0, 0, 1/3, 1/3, 1, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 1, 2/3, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {2/3, 0, 1/3, 2/3, 0, 2/3, 0, 1/3, 1/3}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1/3, 1, 0, 0, 1/3, 0, 0}, 
   {1, 1/3, 0, 0, 1/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/3, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 1/2, 0, 0, 0, 1, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/3, 0, 0, 1/3, 1, 0, 0}, {1, 0, 0, 0, 2/3, 0, 0, 1, 1}, 
   {0, 1, 0, 1/3, 0, 0, 2/3, 1/3, 0}, {0, 1/3, 0, 0, 0, 1, 0, 1/3, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 1/3, 1/3, 0}, {0, 0, 2/3, 1/3, 0, 0, 1/3, 0, 0}, 
   {0, 2/3, 1, 0, 1/3, 0, 0, 2/3, 1}, {2/3, 2/3, 0, 1, 1/3, 0, 0, 0, 1/3}, 
   {1, 0, 1/3, 0, 0, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 2/3, 0, 2/3, 0, 0, 1/3, 0}, {0, 1/3, 1, 2/3, 0, 0, 1/3, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1/3, 0, 2/3, 0, 2/3, 2/3, 1/3, 0, 1/3}, 
   {0, 1, 1, 0, 0, 0, 2/3, 1, 0}, {1, 0, 0, 0, 2/3, 0, 1, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 0}, {1/3, 1, 0, 0, 0, 2/3, 0, 1/3, 2/3}, 
   {0, 0, 1, 2/3, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {2/3, 0, 1, 0, 0, 0, 0, 1/3, 0}, {1, 1/3, 0, 2/3, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 2/3, 2/3, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 1, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1}, {1, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 2/3, 0, 0, 1, 1, 0}, 
   {1/3, 0, 0, 2/3, 0, 0, 0, 1/3}, {0, 0, 2/3, 0, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 1/3, 2/3, 0, 2/3, 0, 0, 1}, {0, 1/3, 0, 2/3, 2/3, 0, 2/3, 1/3}, 
   {1, 0, 0, 0, 0, 1, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {1, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 1, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 1, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1, 1, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 1, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/5, 1, 1/5, 0, 3/5, 0, 3/5}, {0, 4/5, 0, 0, 0, 1, 0, 1/5, 0}, 
   {2/5, 0, 0, 0, 0, 0, 0, 4/5, 0}, {4/5, 0, 0, 0, 4/5, 0, 0, 0, 0}, 
   {0, 4/5, 0, 0, 0, 4/5, 2/5, 0, 0}, {0, 4/5, 2/5, 3/5, 3/5, 0, 0, 1/5, 
    2/5}, {4/5, 0, 4/5, 0, 0, 1, 1/5, 0, 1/5}, {0, 2/5, 0, 1, 1, 0, 0, 3/5, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 1, 0, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 1/3, 0, 1}, {0, 0, 1/3, 0, 2/3, 1/3, 1/3, 1/3, 
    1/3}, {1, 1, 0, 2/3, 0, 0, 0, 1, 0}, {1/3, 0, 1, 0, 1, 0, 1/3, 0, 1/3}, 
   {0, 0, 2/3, 1, 0, 2/3, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 2/3, 0}, 
   {2/3, 1, 0, 0, 2/3, 0, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 1}, {1/2, 1, 0, 1, 1/2, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0}}, {{2, 2, 2}, {2, 2, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 1/2}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 0, 1/2, 1/2, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1/2, 0, 1/2, 1/2, 1, 0}, {0, 1, 0, 0, 1/2, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1/2, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/5, 0, 0, 0, 2/5, 0, 4/5}, 
   {0, 4/5, 4/5, 0, 0, 2/5, 0, 0, 0}, {0, 0, 0, 2/5, 0, 0, 2/5, 0, 4/5}, 
   {1/5, 0, 0, 0, 4/5, 2/5, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 2/5, 1, 0}, 
   {0, 1, 3/5, 0, 2/5, 0, 3/5, 0, 3/5}, {1, 0, 0, 0, 0, 2/5, 3/5, 0, 1/5}, 
   {3/5, 2/5, 0, 1/5, 1/5, 1/5, 0, 1/5, 0}, {0, 1/5, 1/5, 4/5, 0, 0, 0, 1, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 2/3, 0, 2/3, 1/3}, {2/3, 2/3, 0, 0, 1/3, 1, 1/3, 1, 
    0}, {0, 0, 0, 1, 2/3, 0, 0, 0, 1}, {0, 0, 0, 1, 2/3, 0, 1/3, 1, 0}, 
   {0, 0, 2/3, 0, 1/3, 1/3, 0, 2/3, 1/3}, {0, 0, 0, 0, 1/3, 1, 2/3, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1/2, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0, 1/3}, {0, 0, 0, 0, 1/3, 1/3, 0, 1, 2/3}, 
   {1, 1, 0, 0, 0, 0, 1/3, 0, 1}, {0, 2/3, 1, 2/3, 0, 2/3, 0, 1/3, 0}, 
   {0, 0, 1/3, 2/3, 0, 2/3, 1/3, 0, 0}, {0, 0, 0, 1/3, 0, 0, 2/3, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 2, 2}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1, 1, 0, 0, 1/2}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 1/2, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 1/3, 0, 2/3, 2/3, 0, 1/3, 0}, 
   {0, 1/3, 0, 2/3, 0, 0, 1, 0}, {1/3, 0, 0, 0, 2/3, 1/3, 0, 1}, 
   {1/3, 0, 2/3, 0, 2/3, 0, 1, 0}, {1, 0, 0, 0, 2/3, 0, 1, 0}, 
   {0, 1/3, 0, 2/3, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1/2, 0, 1, 0, 1/2, 1/2, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 0, 1, 0, 0, 0}, {1, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1, 0, 1, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, {1, 1/2, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1/2}, {1, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 2/3, 0, 0, 1, 0, 1, 1/3, 0}, {2/3, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1/3, 0, 1, 1, 1/3, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 4/5, 0, 0, 0, 2/5}, {2/5, 0, 0, 0, 0, 2/5, 0, 4/5, 0}, 
   {0, 0, 1, 0, 2/5, 0, 1/5, 1, 0}, {0, 0, 3/5, 2/5, 2/5, 0, 1/5, 1, 0}, 
   {1/5, 1/5, 0, 0, 0, 4/5, 4/5, 0, 1}, {0, 2/5, 1/5, 4/5, 0, 4/5, 0, 0, 
    1/5}, {3/5, 1, 0, 0, 0, 0, 1/5, 1, 0}, {0, 0, 1/5, 4/5, 0, 0, 4/5, 0, 
    3/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 1, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {1, 1/2, 0, 1/2, 1/2, 0, 0, 0, 
    1/2}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 
    0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1, 1/2}, {0, 0, 1, 1, 1/2, 0, 0, 0, 
    1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 0}, {2/3, 0, 0, 1, 1, 1, 0, 1/3}, 
   {0, 0, 1, 0, 0, 2/3, 1, 0}, {0, 2/3, 1/3, 0, 2/3, 0, 1/3, 2/3}, 
   {0, 0, 1, 0, 0, 1/3, 0, 1}, {2/3, 0, 0, 1/3, 1/3, 0, 1, 2/3}, 
   {0, 2/3, 0, 1/3, 1, 2/3, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 4/5, 1, 0, 4/5, 0, 0, 0, 3/5}, {3/5, 0, 0, 1, 0, 4/5, 0, 1/5, 0}, 
   {3/5, 0, 1, 0, 0, 0, 0, 4/5, 0}, {1, 3/5, 0, 0, 1, 0, 0, 0, 0}, 
   {4/5, 0, 0, 1/5, 3/5, 0, 0, 1/5, 3/5}, {0, 3/5, 1, 2/5, 0, 4/5, 3/5, 1/5, 
    0}, {0, 0, 0, 2/5, 0, 0, 1, 0, 2/5}, {0, 4/5, 0, 0, 2/5, 1/5, 0, 2/5, 0}, 
   {2/5, 2/5, 0, 0, 0, 1/5, 2/5, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 1/3, 0, 0, 0, 1/3, 0, 2/3, 2/3}, 
   {1, 0, 1/3, 1, 1/3, 0, 0, 0, 0}, {2/3, 1/3, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {0, 1/3, 0, 1, 1/3, 0, 0, 2/3, 2/3}, {1/3, 0, 1, 0, 0, 1/3, 2/3, 0, 0}, 
   {0, 1/3, 2/3, 1/3, 1/3, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1, 1/2}, {0, 1, 0, 1/2, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1, 1/2, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 1, 0, 1, 0, 1/2}, 
   {0, 1/2, 1, 0, 1, 1/2, 1/2, 0}, {0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1/2, 1}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, 
   {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 1, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 1/3, 2/3, 0, 0, 1/3, 0}, 
   {0, 1, 0, 1/3, 0, 2/3, 1/3, 0, 2/3}, {0, 1/3, 1/3, 2/3, 0, 1, 0, 2/3, 0}, 
   {1, 0, 1, 0, 1, 0, 2/3, 0, 0}, {1/3, 1, 0, 0, 0, 0, 1/3, 0, 0}, 
   {0, 1, 0, 1/3, 1/3, 0, 0, 0, 0}, {1/3, 0, 0, 1/3, 0, 1, 0, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 1/2, 1, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1, 0, 1/2}, {0, 0, 0, 1, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 1/2, 0, 1, 1/2, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, {0, 0, 1, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 1, 0, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 1, 1/3, 1/3, 0, 1}, {2/3, 0, 0, 1, 0, 0, 0, 1/3, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 0, 2/3, 1, 2/3, 0, 1/3, 0, 1/3}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 2/3, 2/3, 1, 0, 0, 1/3, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1, 1/2, 1/2, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 0, 0, 1, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/5, 0, 1/5, 1, 4/5, 0, 0}, 
   {1, 1/5, 0, 1/5, 0, 0, 0, 0, 2/5}, {4/5, 0, 1/5, 0, 1/5, 1/5, 0, 0, 0}, 
   {0, 2/5, 0, 4/5, 2/5, 0, 0, 0, 0}, {0, 2/5, 4/5, 0, 2/5, 0, 0, 0, 4/5}, 
   {2/5, 0, 4/5, 0, 0, 2/5, 0, 0, 2/5}, {0, 2/5, 1, 1, 2/5, 0, 0, 0, 0}, 
   {1/5, 1, 0, 0, 3/5, 1, 0, 4/5, 0}, {0, 0, 1/5, 1/5, 0, 0, 4/5, 4/5, 2/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 1, 0, 0, 0, 0, 1/3}, 
   {0, 1/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 2/3, 0, 0, 0, 1/3, 1/3, 0}, 
   {0, 1, 0, 2/3, 1/3, 0, 0, 2/3, 0}, {1/3, 0, 1, 0, 0, 1, 2/3, 0, 2/3}, 
   {0, 1, 0, 0, 0, 1/3, 2/3, 0, 1}, {1, 0, 1/3, 0, 1/3, 2/3, 0, 2/3, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 3/4, 0, 0, 1/2, 1/2, 0, 1/4, 0}, 
   {0, 0, 1/2, 1, 1/4, 0, 1/2, 0, 1/4}, {1/2, 1/4, 0, 0, 0, 0, 1/2, 3/4, 0}, 
   {1/4, 1, 0, 1/4, 0, 0, 1/4, 0, 1}, {1/4, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1/4, 0, 3/4, 1, 3/4, 0, 0}, {1/4, 3/4, 0, 3/4, 0, 1/4, 1/4, 1/4, 
    0}, {3/4, 0, 1/2, 0, 0, 0, 0, 0, 3/4}, {0, 0, 1/4, 1/4, 0, 0, 0, 3/4, 
    3/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/3, 1, 0, 0}, {0, 0, 1/3, 1, 0, 0, 1/3, 1/3}, 
   {0, 0, 0, 2/3, 1/3, 0, 1, 1/3}, {0, 0, 0, 0, 1/3, 0, 1, 1}, 
   {0, 2/3, 1/3, 1, 0, 1/3, 0, 0}, {2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 4/5, 0, 0, 1, 3/5, 0, 0, 0}, 
   {0, 2/5, 3/5, 1, 2/5, 0, 0, 0, 0}, {0, 0, 1, 2/5, 0, 0, 2/5, 3/5, 0}, 
   {0, 3/5, 2/5, 2/5, 4/5, 0, 0, 1/5, 0}, {0, 0, 1, 0, 3/5, 1/5, 0, 0, 2/5}, 
   {4/5, 3/5, 0, 4/5, 0, 2/5, 0, 1/5, 0}, {0, 0, 0, 1/5, 0, 1, 0, 0, 2/5}, 
   {1, 2/5, 0, 1/5, 0, 0, 0, 0, 0}, {0, 1/5, 0, 0, 0, 4/5, 1/5, 0, 1/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/3, 1/3, 0, 1, 0, 2/3, 0}, 
   {1/3, 0, 0, 0, 1, 0, 2/3, 2/3, 0}, {1, 2/3, 0, 0, 1/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, {1/3, 0, 2/3, 1/3, 0, 1/3, 0, 0, 2/3}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1/3, 1, 2/3, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 1/3, 0, 2/3, 2/3, 0}, 
   {1/3, 0, 1/3, 0, 1, 2/3, 0, 2/3}, {0, 0, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0}, {1/3, 0, 2/3, 1, 0, 0, 0, 0}, 
   {0, 1/3, 1/3, 0, 1/3, 0, 2/3, 0}, {1/3, 0, 0, 1/3, 0, 0, 2/3, 2/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 1/3, 0, 0, 1, 0, 0, 0}, {0, 1/3, 0, 0, 2/3, 1, 2/3, 2/3, 0}, 
   {0, 1, 0, 2/3, 0, 1, 0, 0, 0}, {1/3, 0, 1, 1/3, 1, 0, 2/3, 0, 0}, 
   {2/3, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {2/3, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 0, 0, 0, 0, 0, 2/5, 0}, {2/5, 0, 0, 0, 2/5, 0, 2/5, 0, 0}, 
   {0, 1/5, 2/5, 3/5, 3/5, 2/5, 0, 0, 2/5}, {3/5, 0, 1, 0, 0, 1, 0, 4/5, 0}, 
   {0, 3/5, 0, 1, 3/5, 0, 2/5, 0, 2/5}, {0, 1/5, 2/5, 0, 0, 3/5, 2/5, 0, 
    4/5}, {2/5, 1, 0, 0, 0, 1, 0, 0, 0}, {3/5, 0, 3/5, 1, 3/5, 0, 0, 2/5, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 1/3, 0, 0, 2/3, 0, 2/3, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 1/3, 1, 0}, {0, 1, 0, 0, 2/3, 0, 0, 1/3}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1/3, 0, 2/3, 0, 0, 0, 0, 1/3}, 
   {0, 1/3, 2/3, 0, 2/3, 1/3, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1/2, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 4/5, 4/5, 2/5, 0, 0, 4/5, 0, 4/5}, 
   {0, 4/5, 0, 2/5, 4/5, 0, 2/5, 0, 0}, {4/5, 0, 0, 0, 0, 0, 0, 4/5, 0}, 
   {3/5, 0, 0, 0, 0, 0, 2/5, 1, 0}, {0, 1/5, 1, 0, 2/5, 0, 1/5, 0, 3/5}, 
   {1/5, 0, 0, 2/5, 0, 4/5, 0, 1/5, 0}, {0, 3/5, 3/5, 0, 2/5, 2/5, 0, 3/5, 
    2/5}, {0, 1, 1, 0, 0, 2/5, 0, 3/5, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1, 0, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1, 0}, {1, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 1, 1, 0, 1, 0, 1/2, 0}, 
   {1, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1}, {1, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 1, 1, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 1/2}, {1/2, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1/2, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 2/3, 1/3, 1/3, 0}, 
   {1/3, 1/3, 2/3, 1/3, 0, 0, 0, 0, 1/3}, {1/3, 1/3, 0, 1/3, 2/3, 0, 0, 0, 
    1}, {1/3, 1, 0, 1/3, 0, 0, 1/3, 1/3, 0}, {0, 0, 1/3, 1/3, 2/3, 0, 0, 0, 
    1/3}, {0, 2/3, 0, 0, 1/3, 0, 2/3, 1/3, 0}, {1/3, 0, 0, 1/3, 0, 0, 2/3, 
    2/3, 0}, {0, 1/3, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 0, 0, 1/3, 0, 2/3, 0, 0, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 2/7, 0, 0, 9/14, 0, 5/14, 1/2}, 
   {2/7, 0, 11/14, 3/14, 0, 0, 1, 5/7, 0}, {5/14, 5/7, 0, 0, 0, 0, 2/7, 0, 
    11/14}, {3/7, 0, 3/14, 0, 3/14, 3/14, 0, 0, 0}, 
   {0, 3/14, 0, 3/14, 3/7, 0, 0, 9/14, 0}, {3/14, 0, 0, 0, 0, 3/7, 0, 0, 
    3/14}, {11/14, 0, 5/7, 0, 0, 0, 0, 2/7, 11/14}, 
   {0, 1/14, 4/7, 3/7, 3/7, 0, 5/14, 0, 5/7}, {2/7, 11/14, 0, 0, 0, 3/7, 5/7, 
    1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1, 1, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 0, 0, 2/3, 0, 0, 1/3}, {1, 0, 1/3, 0, 0, 0, 1/3, 1, 0}, 
   {0, 1, 0, 2/3, 2/3, 0, 1/3, 1/3, 0}, {2/3, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 2/3, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 0, 1}, {1/2, 0, 0, 1, 0, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1/2, 0}, 
   {0, 1, 1, 0, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 1, 0, 0, 0, 1}, {2/3, 0, 1, 0, 0, 0, 0, 1/3, 0}, 
   {2/3, 1/3, 0, 0, 0, 1, 1, 0, 0}, {0, 1/3, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 1/3, 0, 1, 0, 0, 1}, 
   {0, 0, 1/3, 1/3, 2/3, 0, 1/3, 0, 1/3}, {1/3, 0, 0, 2/3, 1, 0, 0, 0, 0}, 
   {1/3, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 1, 0, 0, 2/3}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 1/3, 1, 2/3, 2/3, 0}, {1/3, 2/3, 1/3, 0, 2/3, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 2/3, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1/2, 0, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 1, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1}, {1, 0, 1, 1, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1, 1/2}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1/5, 0, 0}, {0, 1/5, 2/5, 0, 4/5, 0, 1/5, 3/5}, 
   {0, 2/5, 2/5, 4/5, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 4/5, 2/5, 0}, 
   {1/5, 2/5, 0, 0, 0, 0, 1/5, 3/5}, {1/5, 0, 0, 0, 2/5, 0, 3/5, 1}, 
   {0, 1, 0, 2/5, 0, 1/5, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 1/2, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {1, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 0, 1}, {1/2, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1/2}, {0, 0, 1/2, 0, 1/2, 1, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1/2, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 2/3, 1/3, 0, 1/3}, 
   {0, 1/3, 2/3, 0, 0, 0, 1/3, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 1/3, 0, 2/3, 0, 1, 0, 1}, {1/3, 0, 0, 2/3, 2/3, 0, 1/3, 0}, 
   {1, 0, 0, 0, 2/3, 2/3, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1/3, 1, 0, 0}, {0, 0, 1/3, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1/3, 0, 0, 0}, {1, 0, 0, 0, 1, 2/3, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1, 1/3, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {2/3, 0, 0, 1, 0, 0, 1/3, 1/3, 0}, {1, 0, 0, 1, 0, 1/3, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 2/3, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1, 0, 1}, {1/2, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 1, 1, 0}, {1/2, 1, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 1, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{4/7, 1, 0, 0, 0, 0, 0, 2/7, 2/7}, {0, 0, 2/7, 3/7, 0, 0, 4/7, 0, 0}, 
   {0, 0, 2/7, 0, 3/7, 6/7, 0, 4/7, 0}, {0, 0, 5/7, 0, 3/7, 0, 0, 4/7, 6/7}, 
   {1/7, 1, 0, 3/7, 0, 3/7, 2/7, 0, 2/7}, {1/7, 1/7, 0, 3/7, 3/7, 0, 2/7, 
    2/7, 0}, {6/7, 0, 5/7, 0, 0, 3/7, 0, 0, 4/7}, 
   {0, 0, 2/7, 0, 6/7, 3/7, 3/7, 0, 4/7}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/3, 1/3, 0, 1}, {1/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 1, 1/3, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 1, 0}, 
   {0, 1/3, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 0, 1/3, 0, 1}, 
   {0, 0, 1/3, 0, 2/3, 0, 1/3, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{2/5, 0, 0, 4/5, 0, 0, 0, 2/5}, {0, 2/5, 0, 0, 0, 0, 2/5, 0}, 
   {0, 1, 0, 0, 3/5, 0, 0, 2/5}, {0, 1/5, 4/5, 0, 1/5, 2/5, 0, 4/5}, 
   {1, 0, 1, 3/5, 0, 0, 2/5, 0}, {3/5, 0, 0, 0, 3/5, 2/5, 0, 0}, 
   {0, 3/5, 3/5, 3/5, 0, 2/5, 2/5, 0}, {1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1/2}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1/2, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/3, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1/3, 0, 0}, 
   {1/3, 0, 1, 0, 1, 0, 0, 0, 2/3}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 2/3, 0, 1/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 1, 0, 0, 0, 0, 0}, {1/3, 2/3, 0, 0, 0, 0, 1/3, 2/3, 0}, 
   {0, 0, 0, 1/3, 0, 0, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 2/3, 0, 0, 1}, 
   {1/3, 1, 0, 0, 0, 0, 1, 1/3, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, {1/3, 1/3, 0, 0, 2/3, 0, 2/3, 0, 1}, 
   {1/3, 1, 0, 0, 2/3, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 1/3, 0}, {0, 0, 0, 2/3, 0, 0, 1/3, 0}, 
   {2/3, 0, 0, 0, 1, 1/3, 2/3, 0}, {0, 0, 1, 1/3, 0, 0, 1/3, 1}, 
   {0, 0, 0, 2/3, 1/3, 1, 0, 2/3}, {0, 0, 2/3, 0, 1, 0, 0, 1}, 
   {0, 2/3, 0, 0, 1, 0, 2/3, 1/3}, {0, 0, 1, 1, 0, 1, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 1/3, 0, 2/3, 1/3, 1/3, 1/3, 
    1/3}, {0, 0, 1/3, 1/3, 1, 0, 2/3, 0, 0}, {1, 1/3, 0, 0, 0, 1, 0, 0, 2/3}, 
   {0, 2/3, 1, 0, 0, 1, 0, 0, 0}, {1/3, 1/3, 0, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {0, 0, 1/3, 0, 0, 1/3, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 3/5, 0, 4/5, 0, 1/5, 0, 2/5}, {3/5, 0, 1, 1/5, 0, 0, 3/5, 1/5, 
    0}, {0, 3/5, 0, 1/5, 0, 0, 0, 4/5, 1}, {3/5, 2/5, 0, 0, 0, 0, 0, 1/5, 0}, 
   {1/5, 0, 0, 0, 0, 0, 2/5, 3/5, 0}, {0, 0, 0, 2/5, 0, 4/5, 0, 0, 0}, 
   {2/5, 0, 1, 0, 3/5, 0, 0, 1/5, 1}, {0, 3/5, 0, 3/5, 1/5, 1/5, 4/5, 0, 
    1/5}, {2/5, 1, 0, 0, 0, 0, 1, 1/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 1, 1/3, 0, 1/3, 0}, {2/3, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1/3, 0, 1/3, 0, 2/3, 0}, {0, 1, 0, 1, 0, 2/3, 1/3, 1, 0}, 
   {1/3, 0, 1, 0, 1/3, 0, 1/3, 0, 2/3}, {2/3, 0, 2/3, 0, 1/3, 1/3, 0, 0, 
    2/3}, {0, 1/3, 0, 1/3, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 0, 1, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1/2, 0, 0, 1, 0, 1}, {0, 1, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 1, 1/2, 0, 0}, {1, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 0, 0, 2/5, 0, 0, 2/5, 0, 4/5}, {0, 4/5, 0, 0, 0, 0, 0, 2/5, 0}, 
   {0, 1/5, 0, 0, 0, 3/5, 2/5, 0, 4/5}, {1, 0, 3/5, 1/5, 3/5, 0, 0, 0, 0}, 
   {1/5, 0, 1/5, 0, 0, 1/5, 2/5, 4/5, 0}, {0, 1, 2/5, 3/5, 3/5, 0, 0, 0, 0}, 
   {3/5, 0, 3/5, 0, 0, 3/5, 0, 4/5, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1/2, 1, 1/2, 0, 0, 0, 1/2}, {1, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 1, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1/2, 0, 1}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 1}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 1, 0}, {1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 1, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 1/2}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 1/3, 1, 0, 1/3, 1}, {0, 0, 1/3, 2/3, 0, 1, 0, 2/3}, 
   {2/3, 0, 1, 0, 0, 1/3, 0, 0}, {0, 0, 1, 0, 2/3, 0, 1/3, 1/3}, 
   {0, 2/3, 1, 0, 0, 0, 1, 1/3}, {0, 0, 0, 1/3, 1, 1, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1, 0}, {0, 1/2, 1, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/5, 3/5, 0, 0, 2/5, 1, 1/5, 0}, {3/5, 0, 0, 2/5, 0, 0, 0, 0, 1}, 
   {0, 3/5, 1, 0, 2/5, 0, 0, 2/5, 1/5}, {1/5, 0, 0, 0, 0, 0, 1, 3/5, 0}, 
   {0, 0, 0, 0, 0, 2/5, 0, 2/5, 4/5}, {0, 2/5, 2/5, 2/5, 0, 0, 2/5, 0, 4/5}, 
   {2/5, 2/5, 0, 2/5, 2/5, 0, 0, 2/5, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 0, 1/2}, {1, 1/2, 0, 0, 1/2, 0, 1, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/4, 1/2, 1, 1/2, 0}, {1/2, 3/4, 0, 1/2, 0, 0, 0, 0, 1/4}, 
   {0, 0, 0, 0, 3/4, 3/4, 0, 1/4, 0}, {0, 0, 3/4, 1/4, 1/4, 0, 1/4, 0, 0}, 
   {1/4, 0, 3/4, 0, 0, 0, 0, 1/4, 0}, {0, 0, 1/2, 0, 1/4, 1/4, 0, 1/4, 1}, 
   {1/4, 0, 0, 1/4, 0, 1/4, 1/4, 0, 3/4}, {1/2, 3/4, 0, 1, 0, 0, 1/4, 1/4, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1/2, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {1, 0, 2/3, 0, 0, 1, 0, 0, 0}, {0, 1/3, 1/3, 1, 1/3, 0, 2/3, 0, 0}, 
   {1, 0, 0, 0, 2/3, 1, 0, 2/3, 0}, {0, 1/3, 1, 0, 2/3, 1, 0, 0, 0}, 
   {1/3, 2/3, 0, 1/3, 1/3, 0, 0, 0, 2/3}, {1/3, 0, 0, 1/3, 1, 0, 0, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1, 1/2, 0, 1, 1, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 1}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1/2, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 0, 0, 0, 1/4}, 
   {0, 1, 3/4, 0, 1/4, 0, 0, 1/4, 0}, {1/2, 0, 0, 3/4, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1/4, 1/4, 0, 0}, {0, 0, 1/4, 0, 1/4, 0, 0, 1/2, 0}, 
   {0, 0, 1/4, 1/4, 1/4, 0, 0, 1/4, 0}, {1, 0, 1/4, 0, 3/4, 0, 0, 1/4, 0}, 
   {0, 1, 1, 1/2, 0, 3/4, 1/2, 0, 1/2}, {1, 0, 0, 1/4, 0, 0, 1/4, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1/2, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1, 0, 1}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 1, 1/3, 2/3, 0, 2/3, 1, 0, 1/3}, {1, 0, 0, 0, 0, 0, 0, 1, 2/3}, 
   {1, 2/3, 0, 2/3, 0, 0, 0, 1/3, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 2/3}, 
   {0, 1/3, 1/3, 0, 2/3, 0, 2/3, 1/3, 0}, {1, 0, 0, 0, 0, 2/3, 1, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 1, 0, 0, 2/3, 2/3, 0, 1/3, 1/3}, {1/3, 2/3, 1/3, 0, 0, 2/3, 1/3, 0, 
    0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1/3, 0, 0, 2/3, 0, 1, 2/3, 0}, 
   {0, 1/3, 0, 2/3, 2/3, 0, 1/3, 0, 0}, {1, 0, 1/3, 0, 0, 0, 0, 1, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0}, {1/3, 0, 0, 2/3, 0, 1, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 1/3, 1}, {1/3, 0, 0, 2/3, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 2/3, 1, 0, 0}, {1/3, 0, 2/3, 0, 2/3, 2/3, 1/3, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 2/7, 1/7, 0, 3/7, 4/7, 0, 0, 0}, 
   {0, 5/7, 4/7, 0, 0, 3/7, 1/7, 0, 0}, {3/7, 0, 1/7, 0, 3/7, 0, 2/7, 0, 
    2/7}, {4/7, 0, 1/7, 0, 0, 1/7, 0, 4/7, 0}, {0, 1/7, 0, 3/7, 6/7, 0, 0, 0, 
    4/7}, {2/7, 0, 0, 0, 0, 0, 1/7, 4/7, 2/7}, {0, 4/7, 2/7, 3/7, 3/7, 0, 
    3/7, 4/7, 0}, {0, 1/7, 1/7, 4/7, 3/7, 3/7, 0, 2/7, 0}, 
   {1/7, 0, 0, 3/7, 0, 6/7, 2/7, 0, 2/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {1/3, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 1/3, 1/3, 0, 2/3, 0}, {1/3, 1, 0, 1/3, 2/3, 0, 1/3, 0, 
    1/3}, {0, 0, 1/3, 0, 0, 0, 2/3, 1, 0}, {1/3, 0, 1/3, 0, 0, 0, 1/3, 0, 1}, 
   {1/3, 1/3, 0, 1/3, 2/3, 0, 0, 1/3, 0}, {0, 0, 1/3, 0, 0, 1/3, 2/3, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 9/10, 3/10, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 3/5, 0, 0, 3/10, 0, 3/10}, 
   {0, 0, 3/10, 9/10, 0, 0, 3/10, 0, 0}, {0, 1, 0, 0, 0, 1/2, 3/10, 1/2, 0}, 
   {1/2, 0, 1/5, 1/10, 1, 0, 0, 4/5, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 7/10, 0, 
    1}, {3/10, 1/5, 0, 0, 3/5, 1/10, 2/5, 1/5, 7/10}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 7/10, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 2/3, 2/3, 1/3, 1/3, 0}, {1/3, 0, 1, 0, 0, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, {1/3, 0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, 
   {1/3, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 1/3, 0, 0, 2/3, 1, 1/3, 0}, 
   {1/3, 1, 0, 0, 0, 0, 0, 0, 1/3}, {0, 2/3, 1/3, 0, 0, 0, 1/3, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1/2, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {1/3, 1, 0, 0, 2/3, 1, 0, 2/3, 0}, 
   {0, 0, 1, 1, 1/3, 0, 2/3, 0, 0}, {1/3, 1, 0, 0, 0, 1/3, 0, 2/3, 2/3}, 
   {1/3, 1/3, 0, 1, 1/3, 0, 0, 0, 0}, {0, 0, 1/3, 0, 0, 1/3, 2/3, 0, 2/3}, 
   {2/3, 0, 1, 0, 0, 1/3, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 1, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 0, 2/3, 0, 0}, {1/3, 0, 0, 1/3, 1, 0, 0, 2/3}, 
   {0, 1/3, 0, 1/3, 1, 2/3, 2/3, 0}, {1/3, 0, 1/3, 0, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1/2, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1/2, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 1, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1/2, 1, 1/2, 1, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 1/2, 0}, {1, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1, 1/2, 1, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{3/4, 0, 3/4, 1/2, 1/4, 0, 0, 3/4, 0}, 
   {0, 0, 0, 0, 1/2, 3/4, 3/4, 0, 3/4}, {0, 1/4, 1/4, 1/2, 0, 0, 3/4, 1/2, 
    0}, {0, 1/2, 1/4, 0, 1/2, 1/4, 0, 1/4, 0}, {0, 3/4, 0, 1/4, 0, 1/4, 0, 
    1/4, 3/4}, {1/2, 0, 1/4, 1/2, 0, 0, 3/4, 0, 3/4}, 
   {1/4, 0, 0, 0, 0, 1/4, 0, 1/2, 1/4}, {1/2, 0, 0, 0, 0, 1/4, 0, 1/2, 0}, 
   {0, 1/4, 0, 3/4, 1/4, 0, 0, 0, 3/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 4/5, 1/5, 0, 1/5, 4/5}, 
   {4/5, 0, 0, 2/5, 0, 3/5, 0, 1, 0}, {0, 0, 2/5, 1/5, 1, 0, 1/5, 0, 1}, 
   {0, 2/5, 0, 1/5, 1/5, 0, 4/5, 1, 0}, {4/5, 2/5, 0, 1/5, 1/5, 0, 0, 3/5, 
    0}, {0, 0, 0, 4/5, 0, 1, 1/5, 0, 3/5}, {0, 4/5, 4/5, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 4/5, 0, 4/5}, {0, 0, 2/5, 0, 2/5, 0, 2/5, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 1/2, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 1/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 1, 1/3, 0, 1, 1/3}, {0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 2/3}, 
   {0, 2/3, 1, 0, 0, 0, 1/3, 1/3}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 2/3, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/3, 0, 0, 1, 0, 1, 0, 1/3}, {0, 0, 1, 0, 1/3, 0, 1, 0}, 
   {0, 2/3, 0, 1, 0, 0, 1/3, 0}, {0, 0, 0, 1/3, 2/3, 0, 1, 2/3}, 
   {0, 0, 1, 0, 1/3, 1/3, 0, 1}, {0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/5, 0, 0, 0, 1/5, 2/5, 0, 0, 1/5}, 
   {0, 0, 0, 1/5, 0, 1, 1/5, 1/5, 0}, {0, 0, 0, 0, 1/5, 0, 2/5, 0, 1}, 
   {0, 2/5, 2/5, 3/5, 2/5, 0, 0, 0, 0}, {2/5, 0, 4/5, 3/5, 0, 2/5, 0, 0, 0}, 
   {0, 0, 0, 1, 4/5, 0, 0, 0, 2/5}, {0, 2/5, 0, 0, 2/5, 3/5, 0, 2/5, 1/5}, 
   {0, 0, 0, 1/5, 1, 0, 3/5, 1, 0}, {2/5, 4/5, 0, 0, 0, 1, 0, 0, 1/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1, 0, 0, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 1/3, 2/3, 0, 0}, {0, 1/3, 0, 0, 0, 0, 1, 1/3, 0}, 
   {2/3, 0, 1/3, 0, 0, 2/3, 1/3, 1, 0}, {0, 1/3, 0, 1, 0, 0, 0, 2/3, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/3, 0, 0, 1, 0, 2/3, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 1, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1, 1/2, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1/2, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 1/2, 0, 1/2, 1, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/5, 1, 1/5, 0, 1/5, 0, 3/5}, 
   {0, 4/5, 0, 0, 0, 1/5, 0, 1/5, 0}, {4/5, 1/5, 4/5, 1/5, 1/5, 0, 0, 4/5, 
    0}, {0, 1, 0, 1/5, 1/5, 0, 4/5, 0, 4/5}, {1, 0, 1, 0, 0, 1, 2/5, 0, 0}, 
   {0, 1/5, 0, 0, 0, 2/5, 0, 3/5, 0}, {0, 3/5, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 3/5, 0, 4/5, 0, 3/5, 0, 1/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 1, 0, 1, 2/3, 0, 0}, 
   {1/3, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1/3, 0, 0, 1/3, 0, 2/3, 2/3, 0}, 
   {1/3, 0, 1/3, 1/3, 0, 1, 0, 2/3, 0}, {2/3, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1}, 
   {2/3, 0, 0, 0, 1, 1/3, 1, 0}, {0, 0, 1/3, 1, 0, 1/3, 1, 0}, 
   {0, 0, 0, 0, 1, 2/3, 0, 1}, {0, 2/3, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 0, 1}, {1/2, 1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 
    0}, {1, 0, 0, 1, 0, 0, 0, 1, 1/2}, {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 3/4, 0, 1/4, 0, 0, 3/4, 0, 0}, 
   {1/2, 0, 3/4, 1/4, 1/4, 0, 0, 3/4, 1/2}, {0, 1/4, 1, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 3/4, 3/4, 0, 1/4, 1/4, 1/4, 0}, {1, 1/4, 0, 0, 1/4, 1/4, 0, 3/4, 
    1/2}, {0, 1/2, 1/4, 1/4, 0, 0, 0, 0, 0}, {0, 3/4, 0, 0, 0, 0, 0, 0, 1/4}, 
   {0, 0, 0, 0, 0, 0, 3/4, 0, 1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1, 1/2, 0, 1}, {0, 0, 1/2, 1, 0, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 1/5, 0, 1/5, 2/5, 0, 2/5, 4/5}, {0, 3/5, 3/5, 2/5, 1, 0, 0, 0, 
    0}, {3/5, 0, 0, 3/5, 0, 3/5, 2/5, 0, 2/5}, {1, 2/5, 0, 0, 1, 0, 0, 0, 0}, 
   {3/5, 0, 0, 0, 3/5, 0, 0, 2/5, 0}, {0, 1, 1, 3/5, 0, 1, 2/5, 0, 0}, 
   {2/5, 0, 0, 4/5, 0, 2/5, 0, 0, 0}, {0, 0, 2/5, 0, 2/5, 0, 2/5, 0, 2/5}, 
   {0, 0, 0, 0, 0, 2/5, 4/5, 2/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1/2, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 1, 0, 1/2}, {0, 0, 1, 1, 0, 1, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1, 0, 1, 0, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/3, 0, 1, 0, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 1/3, 0, 1}, {0, 0, 0, 1/3, 0, 2/3, 1, 0}, 
   {2/3, 0, 1/3, 0, 1, 1/3, 0, 1/3}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 1/2}, 
   {0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 1, 0, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 1/2, 1/2}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 0, 2/3, 1/3, 1, 0}, {1, 0, 1/3, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 2/3, 0, 0, 0, 0, 0, 1/3}, {0, 0, 0, 0, 1, 1/3, 0, 2/3, 0}, 
   {0, 0, 0, 0, 1, 0, 1/3, 2/3, 0}, {0, 1/3, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 1/3, 1/3, 2/3, 0, 0, 0, 1/3}, {2/3, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1/2, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1, 1/2, 0, 1/2, 1, 0, 1/2, 1/2}, 
   {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 0, 1, 1/2, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/6, 1/3, 1/3, 0, 1/3, 0, 2/3}, {1/4, 1/4, 0, 1/2, 0, 1/12, 0, 0, 
    3/4}, {1, 1/3, 0, 1/3, 0, 5/6, 0, 1/6, 0}, {1/3, 1/4, 2/3, 0, 1/3, 0, 0, 
    0, 0}, {1/6, 0, 0, 1/2, 1, 0, 7/12, 0, 1/6}, {0, 1/4, 1, 0, 0, 1/3, 5/12, 
    1/12, 0}, {0, 1/12, 0, 0, 1/3, 1/3, 0, 7/12, 0}, 
   {2/3, 5/12, 0, 0, 0, 11/12, 0, 0, 0}, {0, 5/12, 0, 0, 0, 0, 1/3, 11/12, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1, 1, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/6, 1/3, 1/3, 1/6, 2/3, 0, 1/6, 0, 1/6}, 
   {0, 1/2, 0, 2/3, 5/6, 0, 0, 1/6, 0}, {1/2, 0, 5/6, 0, 0, 0, 0, 1/2, 2/3}, 
   {1/6, 0, 0, 1/3, 0, 1/2, 1/6, 0, 0}, {1/6, 0, 0, 1/6, 0, 1/3, 1/6, 0, 
    1/6}, {0, 1/3, 0, 0, 1/3, 0, 0, 1/6, 2/3}, {1/3, 0, 1/2, 0, 1/3, 0, 2/3, 
    1/3, 0}, {1/6, 5/6, 0, 1/3, 0, 1, 0, 0, 1/6}, 
   {0, 1/6, 0, 0, 1/6, 1/2, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 2/3, 1}, {0, 2/3, 2/3, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 1, 1/3, 0, 1, 1/3, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1/3, 0, 0, 2/3, 2/3, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1/3, 0, 0, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 0, 0, 2/3, 1/3, 1/3, 1/3, 0}, 
   {2/3, 1/3, 0, 0, 2/3, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/2, 0, 1/2, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1/2, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 4/9, 0, 0, 2/9, 4/9, 4/9, 8/9, 0}, {2/9, 4/9, 0, 8/9, 0, 0, 0, 0, 
    2/9}, {0, 0, 0, 8/9, 4/9, 0, 0, 0, 2/3}, {0, 1/9, 1/9, 0, 7/9, 1, 4/9, 0, 
    8/9}, {1/3, 0, 4/9, 1/9, 0, 2/9, 0, 4/9, 4/9}, 
   {5/9, 0, 0, 1, 2/9, 0, 2/9, 2/3, 0}, {0, 1/3, 7/9, 1/9, 0, 0, 4/9, 0, 0}, 
   {1/9, 0, 0, 0, 5/9, 7/9, 0, 0, 0}, {1/9, 0, 4/9, 0, 1/9, 1/3, 4/9, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1, 1, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 3/8, 3/8, 0, 0, 0, 0, 0}, {3/8, 0, 0, 0, 0, 3/8, 0, 0, 3/8}, 
   {0, 1/2, 1, 0, 0, 1, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 1/4, 0, 1, 1/4}, 
   {1, 0, 1/2, 1/8, 1/8, 0, 7/8, 3/8, 0}, {0, 1, 1/8, 5/8, 1, 0, 1/4, 0, 0}, 
   {1/8, 0, 1, 0, 3/8, 1/2, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 0, 1/8, 1, 0, 3/8}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1/2, 0, 1}, {1, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1, 0, 1, 1/2, 0, 1, 1, 0}, {0, 1/2, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 2/3, 1/3, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 0, 2/3, 1, 0, 0, 1, 0}, {0, 1/3, 1/3, 0, 1/3, 1/3, 1/3, 0, 0}, 
   {0, 0, 1, 0, 0, 1/3, 0, 0, 1/3}, {1/3, 0, 0, 1/3, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1/3, 0, 2/3, 0, 1, 1/3}, {1/3, 2/3, 0, 2/3, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1/2, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 1, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, {1/2, 0, 1/2, 1, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 1, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1/2, 1, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1/2, 1, 0, 0}, {0, 1, 1, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 1/2, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 1/3, 2/3, 0, 0, 1/3, 0, 1}, 
   {1/3, 0, 0, 0, 2/3, 1, 0, 1}, {0, 1/3, 2/3, 0, 0, 0, 1/3, 2/3}, 
   {0, 1, 0, 0, 0, 0, 1/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, {1/2, 0, 1/2, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, {1, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1/2, 1, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, {1, 1, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 1, 1, 0, 1, 1, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 1, 0, 1}, {1, 1/2, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1}, {1/2, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {1, 0, 1, 1, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 1, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 1, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {1, 0, 1/2, 0, 0, 1, 1, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1/2, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 2/3, 1/3}, {0, 1/3, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1/3, 1, 1/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/3, 0, 1, 0, 2/3}, 
   {0, 1/3, 0, 0, 1/3, 2/3, 1/3, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 1/3, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 2/3, 1/3, 0, 0, 1, 1/3}, 
   {2/3, 0, 1/3, 1/3, 0, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 2/3}, {0, 2/3, 2/3, 2/3, 0, 0, 1/3, 1/3, 0}, 
   {0, 0, 1, 0, 0, 0, 1/3, 0, 2/3}, {0, 2/3, 0, 1, 0, 0, 0, 0, 1/3}, 
   {0, 0, 1/3, 2/3, 0, 1/3, 1/3, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1/3}, 
   {0, 0, 0, 0, 1, 2/3, 0, 1, 0}, {2/3, 0, 0, 0, 1/3, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 1/2, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 1/2, 1/2, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 3/5, 0, 1, 0, 0, 4/5, 0}, 
   {0, 4/5, 3/5, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 3/5, 0, 0, 3/5, 0, 0}, 
   {0, 3/5, 0, 1/5, 1, 0, 0, 1, 0}, {4/5, 0, 0, 0, 0, 1, 1/5, 0, 4/5}, 
   {0, 0, 4/5, 1/5, 0, 0, 1, 1/5, 0}, {0, 0, 1/5, 4/5, 0, 1, 0, 4/5, 0}, 
   {4/5, 0, 0, 2/5, 1, 0, 2/5, 0, 1}, {3/5, 3/5, 0, 0, 0, 4/5, 1/5, 1, 1/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 1, 0, 1/2, 0, 0}, {1, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1/2, 0, 0, 1/2, 1, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 0, 0, 2/3, 1/3, 1/3, 0}, 
   {1, 1/3, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1/3, 1, 0, 1/3, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1/3, 0, 0, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 0, 0, 2/3, 1, 1/3, 0, 1/3}, {0, 0, 1, 2/3, 0, 0, 0, 0, 1/3}, 
   {0, 1/3, 0, 1, 0, 1, 0, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 1/3, 2/3, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/4, 1/2, 0, 3/4, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 3/4, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/4}, 
   {1/4, 0, 0, 0, 3/4, 0, 1/4, 0, 0}, {0, 0, 3/4, 0, 0, 1/4, 1/2, 1/4, 0}, 
   {1/2, 3/4, 0, 0, 0, 1/2, 0, 1/4, 1/4}, {3/4, 3/4, 0, 1/4, 0, 1/4, 0, 0, 
    1/4}, {0, 0, 1/2, 0, 3/4, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1, 1/2, 0, 1}, {0, 1, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 0, 1, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1/2}, {1/2, 0, 1/2, 1/2, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 1/3}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 1/3}, {1, 0, 0, 1/3, 1, 0, 0, 1/3}, 
   {0, 1/3, 1/3, 0, 0, 2/3, 0, 1/3}, {1/3, 0, 1/3, 0, 2/3, 1/3, 1/3, 0}, 
   {0, 1, 0, 1/3, 1/3, 0, 2/3, 0}, {1/3, 0, 1, 0, 0, 0, 2/3, 0}, 
   {1, 0, 1/3, 0, 0, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 1, 0}, {0, 1/2, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {1, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 1/2, 0}, {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1, 0, 1/2, 1/2, 0, 0}, {1, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1, 1, 0}, {0, 1/2, 0, 1, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1, 1/2, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1/3, 0, 1, 1, 2/3, 0}, 
   {1, 1/3, 0, 0, 0, 0, 1/3, 0, 1}, {1, 0, 0, 2/3, 2/3, 0, 0, 0, 1/3}, 
   {0, 2/3, 1, 0, 1/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 1/3, 1/3, 0}, 
   {0, 0, 1/3, 0, 0, 2/3, 0, 1/3, 0}, {0, 1/3, 2/3, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1/3, 2/3, 0}, {0, 1/3, 0, 2/3, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 9/13, 8/13, 2/13, 0}, 
   {7/13, 3/13, 6/13, 4/13, 1/13, 0, 0, 0, 6/13}, 
   {7/13, 7/13, 0, 0, 7/13, 0, 6/13, 0, 8/13}, {0, 4/13, 6/13, 0, 0, 0, 2/13, 
    0, 10/13}, {10/13, 6/13, 0, 4/13, 0, 0, 0, 6/13, 0}, 
   {0, 0, 2/13, 0, 10/13, 4/13, 2/13, 0, 0}, {0, 0, 5/13, 0, 7/13, 0, 4/13, 
    6/13, 0}, {0, 4/13, 3/13, 0, 3/13, 4/13, 0, 8/13, 0}, 
   {11/13, 7/13, 0, 11/13, 0, 7/13, 6/13, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/2, 0, 0, 1}, {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 1, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1, 0, 1, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 1, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 1, 1, 0}, {1/2, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1/2, 0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 1/3, 0, 0, 1/3, 0, 1}, {2/3, 0, 0, 1, 1/3, 0, 1/3, 0}, 
   {0, 0, 1/3, 0, 0, 2/3, 1, 0}, {2/3, 0, 1/3, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1/3, 1/3, 0, 1/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 1, 1/2, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1/2, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 1, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {1/2, 1/2, 0, 1, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 4/5, 0, 0, 0, 0}, {0, 2/5, 1/5, 1, 0, 0, 4/5, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 2/5, 0}, {1/5, 3/5, 0, 3/5, 0, 0, 0, 4/5, 4/5}, 
   {4/5, 0, 3/5, 0, 1/5, 3/5, 0, 0, 2/5}, {0, 0, 1, 0, 1, 3/5, 0, 0, 0}, 
   {0, 2/5, 0, 0, 0, 2/5, 2/5, 0, 0}, {0, 0, 2/5, 0, 0, 4/5, 0, 2/5, 0}, 
   {4/5, 2/5, 0, 2/5, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 2/3, 0, 1, 0, 1/3}, {0, 0, 1/3, 1, 2/3, 0, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 1/3, 1/3, 0, 0}, {0, 0, 2/3, 0, 0, 1, 0, 1/3, 1/3}, 
   {0, 1/3, 0, 1, 0, 2/3, 0, 0, 0}, {0, 1/3, 0, 1/3, 0, 0, 2/3, 0, 2/3}, 
   {1/3, 0, 1, 1/3, 0, 2/3, 1/3, 0, 0}, {1/3, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 2/3, 1/3, 0, 2/3, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 3/4, 1/2, 0, 1/4, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {1, 1/4, 0, 3/4, 3/4, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 3/4, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 3/4, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/4, 0, 0, 3/4, 0, 0, 1}, {1, 1/4, 0, 3/4, 1/4, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/5, 0, 1, 1/5, 0, 1}, {0, 0, 4/5, 0, 1/5, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 3/5, 0, 1, 0, 1}, {4/5, 4/5, 0, 1/5, 0, 1/5, 0, 1/5, 0}, 
   {0, 2/5, 0, 0, 1/5, 4/5, 1/5, 0, 1}, {2/5, 0, 4/5, 2/5, 0, 0, 0, 2/5, 0}, 
   {0, 0, 0, 4/5, 4/5, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 4/5, 4/5, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 
    0}, {0, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 1, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 0, 0, 1, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 1, 0, 0, 1/2, 1, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 1, 1/2}, 
   {1, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1}, {0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1, 0}, {1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1, 1/2, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/5, 0, 2/5, 0, 0, 0}, {0, 2/5, 2/5, 0, 0, 0, 2/5, 0, 0}, 
   {2/5, 0, 0, 0, 0, 0, 0, 2/5, 0}, {1/5, 2/5, 2/5, 1/5, 3/5, 0, 2/5, 0, 
    2/5}, {0, 1/5, 1, 0, 0, 3/5, 0, 2/5, 0}, {1/5, 0, 0, 1, 1, 0, 4/5, 0, 0}, 
   {1/5, 0, 0, 0, 0, 1/5, 4/5, 2/5, 4/5}, {1, 4/5, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/5, 1/5, 3/5, 1, 0, 0, 4/5, 4/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1, 1, 0, 0, 0}, {1, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1}, {0, 1/2, 1, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {1, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 1, 0, 0, 1/2, 1/2, 0, 1}, {1, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 1/2, 1, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 1/2, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1/2, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/3, 0, 0, 0, 1/3, 2/3}, 
   {1/3, 0, 1/3, 0, 0, 0, 0, 0, 1}, {1/3, 2/3, 0, 1/3, 0, 1/3, 0, 1/3, 0}, 
   {0, 1/3, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 1, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 1/3, 0, 0, 1, 0}, {2/3, 1, 0, 0, 1, 1/3, 0, 0, 0}, 
   {2/3, 0, 1, 0, 0, 1/3, 1, 0, 0}, {0, 0, 0, 0, 2/3, 0, 1, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 3/4, 0, 1/4, 1/4, 0, 0, 1/2}, 
   {1/4, 0, 1, 0, 0, 1/4, 1/4, 0, 1/4}, {1/4, 1/2, 0, 3/4, 0, 0, 0, 1, 0}, 
   {0, 3/4, 1/4, 0, 3/4, 1/4, 0, 0, 0}, {3/4, 3/4, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 3/4, 3/4, 0, 0, 0, 1/2}, {0, 1/4, 0, 1, 0, 3/4, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/4, 1}, {1/2, 0, 1, 0, 0, 0, 1/2, 3/4, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1, 0, 1, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1/2, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1/2}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 1}, {1/2, 0, 0, 1/2, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1/3, 0, 1, 2/3, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 2/3, 1/3, 0, 1/3, 0, 0, 2/3, 0}, {0, 1, 2/3, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1/3, 1, 0, 1/3, 0, 0, 0}, {0, 1/3, 0, 2/3, 1, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 0, 0}, {0, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 0, 1, 0, 0, 2/3}, {0, 1/3, 0, 1/3, 2/3, 2/3, 0}, 
   {0, 1, 0, 1/3, 0, 2/3, 0}, {1/3, 0, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1, 1/2, 0}, {0, 1, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 1, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 0, 1/2, 0, 1, 0, 0}, {0, 1/2, 1, 0, 1, 1/2, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {1, 1/2, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 
    1/2}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 
    1/2, 0}, {0, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 1, 
    1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, {1/2, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1, 1, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 1, 0, 2/3, 0, 1/3}, {0, 0, 0, 2/3, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {2/3, 1, 0, 0, 0, 1, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 1, 1, 0, 0}, 
   {0, 0, 1/3, 0, 0, 0, 1/3, 1/3, 0}, {0, 0, 0, 1/3, 0, 0, 1/3, 0, 0}, 
   {1/3, 0, 0, 0, 0, 0, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 0, 0, 0, 0, 2/3}, 
   {1/3, 0, 0, 1/3, 1, 2/3, 0, 0}, {0, 1/3, 0, 1, 1, 0, 0, 2/3}, 
   {1, 0, 1, 0, 0, 2/3, 0, 0}, {1/3, 0, 1, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1/2, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 3/4, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 3/4, 0, 0, 0, 3/4}, {0, 1/2, 3/4, 1/4, 0, 0, 0, 1/4, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/4, 1/4}, {1/4, 1/4, 0, 0, 0, 1/4, 1/4, 1/2, 
    0}, {0, 0, 0, 1/4, 1/2, 3/4, 0, 0, 0}, {1/2, 0, 0, 1/4, 0, 1/2, 0, 0, 
    3/4}, {3/4, 3/4, 0, 0, 1/4, 0, 1/2, 1/4, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1/4, 
    3/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 1, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1, 0, 0, 0, 1/3, 0}, {0, 2/3, 0, 0, 0, 1/3, 1, 0, 0}, 
   {0, 1/3, 1, 2/3, 0, 0, 0, 2/3, 0}, {2/3, 0, 2/3, 0, 1/3, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 0, 2/3, 1}, {0, 0, 0, 0, 2/3, 1, 0, 1/3, 1/3}, 
   {1, 2/3, 0, 1/3, 0, 0, 1, 0, 0}, {0, 0, 0, 1/3, 1/3, 0, 1, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1/3, 1/3, 0, 1, 0, 2/3, 0}, 
   {0, 1, 0, 1, 0, 2/3, 0, 0}, {0, 1, 2/3, 1, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 1, 0, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 1}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1/2, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 1, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 1/2, 0, 1}, 
   {0, 1, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, {1, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1/2, 0, 1, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1/3, 1, 0, 0, 1, 1/3}, 
   {0, 2/3, 0, 0, 1/3, 0, 1/3, 1/3}, {0, 0, 2/3, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 1/2}, {1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 0, 0, 2/5, 2/5, 0, 0}, {2/5, 0, 0, 0, 0, 0, 4/5, 0}, 
   {0, 0, 3/5, 0, 0, 3/5, 0, 3/5}, {0, 2/5, 0, 1/5, 3/5, 0, 3/5, 2/5}, 
   {2/5, 0, 0, 3/5, 1/5, 3/5, 0, 1/5}, {2/5, 2/5, 1/5, 0, 0, 0, 3/5, 0}, 
   {0, 2/5, 3/5, 2/5, 0, 0, 3/5, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1/2, 0}, {1/2, 0, 1, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 0, 1, 0, 1, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/4, 1/4, 0, 3/4, 1/4, 0, 0, 1}, {0, 0, 0, 0, 1, 1/2, 0, 1/4, 1}, 
   {1/4, 0, 0, 1, 0, 1/2, 1, 0, 0}, {1/4, 0, 3/4, 1, 0, 0, 0, 1/4, 1}, 
   {0, 1/4, 1/2, 1/2, 3/4, 0, 1/4, 1/2, 0}, {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, 
   {1/4, 0, 0, 0, 0, 1/2, 0, 3/4, 0}, {0, 0, 0, 0, 0, 1/4, 1/4, 1, 0}, 
   {1/4, 3/4, 0, 3/4, 0, 0, 1/4, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1, 1/2, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 0, 1, 0, 1/2, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 4/5, 4/5, 0, 0, 1/5}, 
   {4/5, 0, 3/5, 0, 0, 4/5, 1/5, 0, 1/5}, {1/5, 0, 0, 1/5, 4/5, 0, 3/5, 4/5, 
    0}, {0, 1/5, 2/5, 0, 0, 0, 0, 4/5, 3/5}, {0, 0, 1/5, 1/5, 1, 0, 0, 0, 
    4/5}, {0, 4/5, 0, 0, 0, 1, 0, 1/5, 0}, {1/5, 3/5, 1/5, 4/5, 0, 0, 0, 0, 
    0}, {1/5, 1/5, 0, 4/5, 1/5, 0, 1/5, 0, 0}, {0, 0, 1/5, 4/5, 0, 1/5, 3/5, 
    0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1, 0, 1, 0, 1, 0, 0, 1/2}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1/2, 0, 0, 1, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 1/2, 1}, 
   {1, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 1/3, 0, 2/3, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 0, 1/3, 0, 1/3, 0, 1/3}, {0, 2/3, 0, 1/3, 0, 0, 0, 0, 2/3}, 
   {1, 0, 0, 0, 0, 1/3, 2/3, 0, 1/3}, {0, 0, 1, 2/3, 1, 0, 0, 0, 0}, 
   {1, 1/3, 0, 1/3, 0, 1/3, 2/3, 0, 0}, {0, 0, 0, 0, 1/3, 1, 0, 2/3, 1/3}, 
   {0, 1/3, 1, 1/3, 0, 1, 0, 0, 1/3}, {1, 1/3, 0, 0, 1/3, 0, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/4, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 3/4, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 3/4, 0}, 
   {0, 0, 1/4, 0, 1/4, 0, 1/2, 0, 1/2}, {0, 1/4, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/4, 1}, {3/4, 1/2, 0, 0, 1/4, 0, 3/4, 0, 1/4}, 
   {1, 3/4, 0, 0, 0, 1/4, 1, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 2/3, 0, 0, 2/3}, 
   {0, 0, 1/3, 2/3, 1/3, 0, 1/3, 1/3, 0}, {1/3, 0, 1/3, 1, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 1/3, 0}, {0, 0, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {0, 1/3, 0, 0, 1/3, 0, 0, 1/3, 0}, {1/3, 0, 1/3, 0, 1/3, 2/3, 2/3, 2/3, 
    0}, {1/3, 1/3, 0, 1, 0, 0, 2/3, 0, 2/3}, {0, 0, 1, 0, 1, 2/3, 0, 0, 
    1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 1/3, 2/3, 1/3, 0, 0, 0, 1/3, 0}, 
   {2/3, 0, 0, 0, 0, 1/3, 2/3, 0, 1/3}, {0, 1/3, 1/3, 1/3, 0, 0, 1/3, 2/3, 
    0}, {1/3, 0, 1/3, 0, 0, 0, 0, 1, 1/3}, {1/3, 1, 0, 0, 1/3, 1/3, 0, 0, 
    2/3}, {1, 1/3, 0, 0, 1/3, 0, 1/3, 1, 0}, {2/3, 2/3, 0, 1/3, 0, 0, 0, 2/3, 
    1/3}, {0, 0, 1, 0, 0, 0, 2/3, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 1, 0, 2/3, 0}, 
   {1/3, 1/3, 0, 0, 0, 1/3, 1/3, 0}, {0, 1/3, 2/3, 0, 2/3, 0, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 0, 0, 2/3, 0}, {0, 0, 1/3, 2/3, 0, 2/3, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 1/3, 0, 2/3, 0, 1/3, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 1, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/5, 0, 3/5, 1/5, 2/5, 0, 0, 3/5, 0}, 
   {0, 0, 0, 3/5, 1, 0, 1/5, 1, 0}, {0, 1/5, 1, 3/5, 0, 1, 0, 0, 1/5}, 
   {0, 2/5, 0, 1/5, 1, 0, 0, 0, 2/5}, {4/5, 0, 0, 2/5, 0, 2/5, 0, 4/5, 0}, 
   {1/5, 0, 2/5, 0, 4/5, 2/5, 0, 0, 0}, {0, 0, 0, 1/5, 0, 0, 4/5, 0, 3/5}, 
   {1/5, 4/5, 0, 0, 0, 4/5, 0, 0, 0}, {0, 3/5, 0, 1/5, 0, 3/5, 1/5, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1, 1}, {1, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 1}, {1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 0, 0, 1, 2/3}, 
   {1/3, 1, 0, 2/3, 0, 0, 1/3, 0, 1/3}, {0, 0, 1/3, 0, 2/3, 0, 1, 0, 1/3}, 
   {1/3, 1, 0, 2/3, 0, 2/3, 0, 1/3, 0}, {2/3, 0, 1/3, 0, 0, 0, 1, 0, 1/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 1/3, 2/3, 0, 0, 2/3, 1/3}, {2/3, 1/3, 0, 1/3, 1, 0, 0, 1/3, 
    0}, {0, 1, 1, 0, 0, 1/3, 1, 0, 0}, {0, 2/3, 1/3, 0, 0, 2/3, 0, 1, 1}, 
   {0, 0, 2/3, 1/3, 1, 0, 1/3, 2/3, 0}, {1, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 0, 0, 2/3}, {0, 0, 1/3, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1/2, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1, 1}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 1, 0, 1, 1}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 1, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/2, 0, 1/2, 0, 1, 0, 5/6}, {0, 0, 1/3, 1/6, 0, 5/6, 1/6, 2/3, 
    0}, {1/3, 0, 0, 0, 0, 2/3, 0, 1, 1/6}, {1/2, 1/3, 1/6, 0, 2/3, 0, 1/2, 
    1/3, 0}, {5/6, 1/3, 0, 0, 0, 1/2, 2/3, 0, 5/6}, 
   {0, 1/6, 1/6, 2/3, 5/6, 0, 0, 5/6, 0}, {0, 0, 1/3, 1/3, 0, 1/6, 0, 0, 
    1/6}, {0, 1/6, 1/3, 0, 0, 0, 0, 1/6, 1/3}, {1/6, 0, 0, 2/3, 0, 0, 1/3, 0, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 2/3, 1, 0, 0, 0, 0, 1/3, 0}, {1/3, 0, 1, 2/3, 0, 0, 2/3, 1, 0}, 
   {0, 1, 0, 2/3, 0, 2/3, 1/3, 0, 1/3}, {0, 1/3, 0, 0, 2/3, 2/3, 0, 1/3, 0}, 
   {1/3, 0, 1, 0, 0, 0, 1/3, 0, 1}, {0, 1, 0, 0, 2/3, 0, 0, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 1}, {0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1}, {1/2, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 1/2}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 1, 0, 0, 0, 1, 0}, {1/2, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 0, 1/2, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1}, {1/2, 1, 0, 1/2, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1/2, 0, 1, 0, 1, 0, 1/2, 0}, 
   {1, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 3/4, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {1, 0, 1/4, 0, 1/2, 1/4, 0, 0, 3/4}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 3/4, 0, 1/2, 0, 0, 0}, {0, 1/2, 3/4, 0, 0, 1/4, 0, 1/4, 1/4}, 
   {0, 0, 0, 1/4, 0, 0, 1/2, 1, 0}, {3/4, 0, 3/4, 0, 1/4, 0, 1/2, 1/4, 0}, 
   {0, 1/4, 0, 1/4, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/5, 2/5, 0, 2/5, 2/5, 0}, 
   {4/5, 0, 2/5, 0, 2/5, 2/5, 0, 0, 0}, {1/5, 2/5, 1/5, 2/5, 0, 2/5, 0, 0, 
    1/5}, {1/5, 0, 1/5, 2/5, 0, 0, 2/5, 0, 1}, {0, 1, 2/5, 0, 0, 2/5, 1/5, 
    1/5, 0}, {0, 3/5, 0, 0, 0, 2/5, 0, 0, 3/5}, {0, 1/5, 0, 0, 0, 0, 0, 2/5, 
    3/5}, {3/5, 0, 1/5, 0, 0, 0, 1/5, 3/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1/2, 1, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 0, 1, 1, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {1, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 7/9, 0, 0, 2/9, 0, 5/9, 1/3}, {5/9, 1/9, 0, 0, 0, 0, 7/9, 0, 0}, 
   {0, 5/9, 2/3, 2/3, 2/9, 0, 2/9, 0, 0}, {0, 1/3, 2/9, 4/9, 0, 0, 4/9, 0, 
    4/9}, {8/9, 7/9, 0, 0, 0, 2/9, 0, 0, 4/9}, {5/9, 0, 0, 2/9, 2/9, 0, 0, 
    7/9, 1/3}, {0, 1/9, 1, 0, 4/9, 4/9, 1/9, 0, 0}, 
   {4/9, 1/9, 5/9, 0, 0, 2/9, 1/9, 4/9, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1}, {1/2, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1/2, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1/2, 1, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 1/2, 0, 1, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1, 1, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 1, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 1/2, 0}, 
   {1/2, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 1/2}, {1/2, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{3/5, 2/5, 2/5, 0, 3/5, 0, 0, 0, 0}, {0, 0, 0, 3/5, 4/5, 0, 2/5, 0, 0}, 
   {3/5, 0, 4/5, 0, 0, 0, 2/5, 0, 1/5}, {1/5, 2/5, 0, 0, 0, 1/5, 1/5, 1/5, 
    2/5}, {0, 4/5, 0, 1/5, 0, 4/5, 0, 2/5, 0}, {0, 0, 1/5, 0, 2/5, 0, 3/5, 0, 
    1}, {0, 0, 0, 2/5, 0, 1/5, 0, 4/5, 1/5}, {0, 3/5, 0, 2/5, 0, 1, 0, 0, 
    1/5}, {1/5, 0, 2/5, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 1, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 1}, 
   {1, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 2/3, 1/3, 0, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 1/3, 2/3, 1, 0, 0}, {1/3, 0, 0, 0, 1/3, 1/3, 0, 2/3, 1}, 
   {0, 2/3, 1/3, 1, 1/3, 0, 0, 0, 0}, {1/3, 1/3, 1/3, 0, 0, 0, 0, 1/3, 2/3}, 
   {1, 0, 0, 1/3, 0, 0, 1/3, 0, 0}, {0, 0, 0, 0, 1/3, 2/3, 1/3, 1/3, 0}, 
   {1, 1/3, 0, 0, 0, 0, 0, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 1/3, 2/3, 0, 2/3}, {2/3, 1, 0, 1/3, 1/3, 0, 0, 0, 
    2/3}, {1, 0, 1/3, 2/3, 0, 1, 0, 0, 0}, {0, 1, 0, 2/3, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/3, 0, 2/3, 0}, {1/3, 0, 1, 1/3, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {1, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 0, 1/3, 0, 0, 2/3}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 1/3, 1, 0, 1/3, 0, 2/3, 0}, 
   {1, 0, 0, 1/3, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 0, 0, 2/3, 2/3, 2/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1, 1, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 4/11, 0, 0, 0, 0, 0, 6/11, 4/11}, {2/11, 0, 0, 10/11, 4/11, 0, 0, 0, 
    0}, {4/11, 0, 0, 0, 4/11, 0, 0, 10/11, 0}, {0, 8/11, 0, 3/11, 8/11, 0, 0, 
    1, 1}, {2/11, 0, 2/11, 10/11, 5/11, 9/11, 1/11, 0, 0}, 
   {0, 0, 4/11, 0, 5/11, 7/11, 1, 0, 0}, {0, 4/11, 0, 5/11, 0, 8/11, 3/11, 0, 
    2/11}, {2/11, 4/11, 0, 7/11, 0, 0, 1, 0, 0}, 
   {8/11, 0, 8/11, 0, 1/11, 3/11, 0, 1/11, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{3/13, 7/13, 0, 0, 0, 3/13, 8/13, 0, 8/13}, {0, 0, 3/13, 7/13, 1, 0, 0, 
    10/13, 0}, {11/13, 1, 0, 8/13, 0, 3/13, 0, 0, 0}, 
   {2/13, 0, 0, 4/13, 0, 4/13, 0, 6/13, 6/13}, {12/13, 0, 10/13, 4/13, 6/13, 
    0, 4/13, 0, 0}, {0, 2/13, 0, 2/13, 0, 12/13, 0, 8/13, 0}, 
   {0, 2/13, 3/13, 0, 4/13, 1/13, 6/13, 0, 10/13}, 
   {2/13, 0, 1, 2/13, 0, 1, 0, 0, 0}, {1/13, 1, 0, 3/13, 1, 0, 6/13, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1, 0, 1/2, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 2/3, 0, 0, 0}, {0, 1/3, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 0, 0, 1/3, 1/3, 0, 1/3, 1/3}, {0, 1/3, 0, 0, 1/3, 0, 0, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 1/3, 1/3, 0}, {1/3, 0, 2/3, 2/3, 0, 1/3, 0, 2/3}, 
   {0, 1/3, 2/3, 0, 2/3, 1/3, 1/3, 0}, {0, 0, 1/3, 0, 0, 2/3, 2/3, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {1, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 1/2, 1, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 6/7, 0, 0, 3/7, 6/7}, {6/7, 4/7, 2/7, 0, 0, 0, 0, 1/7, 0}, 
   {6/7, 4/7, 0, 0, 0, 2/7, 0, 3/7, 0}, {0, 0, 0, 2/7, 1/7, 0, 0, 3/7, 5/7}, 
   {2/7, 0, 0, 0, 1/7, 0, 0, 3/7, 1}, {0, 2/7, 6/7, 1/7, 0, 1/7, 1/7, 0, 0}, 
   {2/7, 0, 0, 1/7, 0, 1/7, 6/7, 0, 1/7}, {0, 2/7, 6/7, 5/7, 0, 1, 0, 0, 
    1/7}, {0, 0, 0, 0, 1/7, 0, 1, 3/7, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 1, 0}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/7, 0, 0, 4/7, 0, 0, 0, 4/7, 0}, {6/7, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 4/7, 1, 1/7, 0, 0, 4/7, 0, 2/7}, {0, 0, 1, 1, 0, 4/7, 0, 0, 0}, 
   {1/7, 1, 0, 0, 3/7, 3/7, 0, 4/7, 0}, {0, 2/7, 1, 0, 5/7, 1/7, 0, 0, 2/7}, 
   {0, 0, 1, 0, 1, 3/7, 0, 2/7, 0}, {1/7, 1, 0, 3/7, 0, 0, 4/7, 0, 4/7}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 2/5, 0, 0, 0, 2/5}, {2/5, 0, 2/5, 0, 0, 0, 2/5, 0}, 
   {2/5, 0, 0, 2/5, 1/5, 3/5, 0, 2/5}, {0, 4/5, 1, 1/5, 0, 0, 3/5, 3/5}, 
   {2/5, 0, 0, 0, 3/5, 1, 0, 0}, {0, 2/5, 0, 2/5, 1, 0, 3/5, 1/5}, 
   {4/5, 0, 2/5, 0, 1/5, 0, 3/5, 1}, {0, 2/5, 1/5, 3/5, 0, 1, 2/5, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {1, 0, 0, 0, 1/2, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 1, 0, 0, 1, 1}, {1/2, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 1, 1/2, 1/2, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 1/3, 0, 0, 0, 0, 2/3, 1}, {0, 1/3, 2/3, 0, 2/3, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 2/3, 1/3, 1/3, 0}, {1/3, 0, 0, 2/3, 0, 2/3, 0, 1/3}, 
   {1, 0, 0, 0, 0, 0, 2/3, 1}, {0, 1/3, 0, 2/3, 0, 1, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, {1, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1, 1, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1/2, 1, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1/2, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 1/2, 1, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 1, 1/2, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1, 1/2, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1/2, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1/2, 0}, {1, 0, 1/2, 1/2, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, 
   {1, 1, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1, 1}, 
   {1/2, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1, 1/2, 0, 1, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 1, 1, 0}, 
   {1/2, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1/2, 0, 0, 1, 1/2}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 1, 1, 0}, {0, 1, 0, 0, 1/2, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 4/5, 0, 0, 4/5, 0, 0, 0}, 
   {0, 4/5, 0, 0, 4/5, 0, 0, 0, 4/5}, {4/5, 4/5, 0, 0, 0, 3/5, 0, 1, 1/5}, 
   {2/5, 4/5, 0, 1/5, 1/5, 2/5, 1/5, 4/5, 0}, {0, 0, 4/5, 3/5, 1, 0, 1, 0, 
    0}, {2/5, 2/5, 0, 0, 0, 3/5, 1, 0, 0}, {4/5, 0, 0, 4/5, 0, 1/5, 1/5, 0, 
    0}, {0, 0, 4/5, 1/5, 1/5, 0, 0, 1, 1/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1, 1, 1/2, 0, 1, 1/2, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1/2, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, {1/2, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1/2, 1}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 1, 0, 1/2, 0, 0, 0}, {1, 1/2, 0, 0, 1/2, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1/2, 1, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/3, 2/3, 0, 1/3, 0, 1/3}, {1/3, 0, 1/3, 0, 1/3, 1/3, 0, 1/3, 
    0}, {1, 2/3, 0, 1/3, 0, 2/3, 0, 0, 0}, {0, 0, 2/3, 0, 1/3, 0, 1/3, 2/3, 
    0}, {0, 0, 1/3, 1/3, 0, 1/3, 1/3, 0, 2/3}, {1/3, 0, 0, 2/3, 1/3, 1/3, 0, 
    0, 1/3}, {1, 2/3, 0, 0, 1/3, 0, 0, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 4/7, 0, 4/7, 3/7, 3/7, 2/7, 0}, 
   {2/7, 0, 0, 1, 1, 0, 0, 3/7, 1}, {0, 0, 0, 4/7, 0, 1, 1, 6/7, 0}, 
   {0, 0, 2/7, 1/7, 1/7, 2/7, 3/7, 0, 0}, {4/7, 0, 0, 0, 0, 1, 0, 1/7, 1/7}, 
   {0, 2/7, 0, 1/7, 1/7, 0, 1, 0, 0}, {0, 0, 2/7, 4/7, 0, 2/7, 0, 0, 6/7}, 
   {4/7, 4/7, 0, 2/7, 6/7, 0, 0, 4/7, 0}, {0, 4/7, 0, 0, 0, 0, 0, 4/7, 6/7}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 1/3, 0, 1/3, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 2/3, 0, 1/3, 0, 0, 0, 1}, {0, 2/3, 0, 1/3, 0, 1, 1, 1/3, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 0, 1}, 
   {1/2, 1, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 1, 1/2, 1, 0, 0, 0, 1/2}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 8/21, 5/21, 0, 16/21, 16/21, 1, 1/7, 0}, {1/21, 1/7, 0, 20/21, 16/21, 
    0, 0, 0, 1}, {1, 1/7, 16/21, 0, 0, 0, 0, 0, 5/21}, 
   {2/21, 2/3, 0, 8/21, 0, 16/21, 0, 4/21, 0}, {8/21, 0, 0, 2/21, 0, 0, 
    16/21, 20/21, 0}, {0, 6/7, 4/7, 0, 0, 6/7, 0, 0, 10/21}, 
   {6/7, 0, 1/21, 0, 0, 0, 4/21, 0, 13/21}, {1/7, 13/21, 0, 2/3, 0, 0, 5/21, 
    1/21, 0}, {0, 0, 1/7, 0, 4/21, 2/21, 0, 6/7, 11/21}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1/3, 0, 1/3, 0, 2/3, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 1/3, 2/3, 1/3, 0, 1, 2/3, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1/3, 0, 1, 0, 1/3, 0, 2/3, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1}, {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 3/5, 0, 3/5, 0, 0, 0}, {0, 1/5, 0, 1/5, 0, 2/5, 4/5, 0}, 
   {0, 4/5, 0, 0, 0, 2/5, 0, 4/5}, {0, 2/5, 2/5, 2/5, 0, 0, 0, 2/5}, 
   {2/5, 0, 0, 4/5, 0, 0, 2/5, 0}, {0, 1/5, 3/5, 0, 3/5, 0, 0, 0}, 
   {0, 1/5, 1/5, 0, 3/5, 0, 0, 2/5}, {1/5, 0, 0, 1/5, 0, 2/5, 0, 4/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 1, 0, 0, 1, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 1, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1/2, 1/2}, {0, 1, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 1/2}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 1/4, 0, 0, 1/2, 0, 0, 1/4}, 
   {1, 1, 0, 0, 1/2, 0, 1/4, 1/4, 0}, {0, 1/4, 1/4, 1/2, 0, 1, 0, 0, 3/4}, 
   {0, 0, 3/4, 1/4, 1/4, 0, 1/4, 0, 0}, {0, 0, 3/4, 1/2, 1/4, 0, 0, 0, 0}, 
   {1/4, 0, 0, 1/2, 0, 3/4, 0, 0, 1/2}, {0, 0, 0, 1/4, 3/4, 0, 0, 0, 1/4}, 
   {0, 0, 1/4, 0, 3/4, 0, 0, 1/4, 0}, {0, 0, 0, 0, 0, 1/4, 3/4, 3/4, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 1, 0, 1/2, 0}, {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 1/2, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1, 1/2}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1, 0, 1/2}, {0, 0, 1, 0, 1, 1/2, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1/2, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1/2}, {0, 0, 1/2, 1, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 1/2, 1, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 1, 1/2, 0, 
    1/2}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/9, 0, 1, 0, 0, 2/9, 0, 0, 7/9}, 
   {0, 1, 0, 2/9, 0, 0, 7/9, 1/9, 0}, {0, 1, 0, 2/3, 0, 0, 2/9, 0, 1/9}, 
   {1/9, 0, 1/9, 2/9, 2/9, 0, 5/9, 7/9, 0}, {8/9, 7/9, 0, 0, 0, 2/9, 0, 2/9, 
    1/3}, {8/9, 0, 8/9, 0, 0, 0, 2/9, 0, 0}, {4/9, 2/9, 0, 0, 2/9, 0, 0, 8/9, 
    8/9}, {0, 2/9, 0, 0, 2/3, 4/9, 0, 4/9, 4/9}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/3, 0, 0, 2/3, 2/3, 0, 0, 1/3}, {0, 1/3, 0, 0, 0, 1/3, 1, 0}, 
   {0, 1/3, 2/3, 0, 0, 0, 0, 1/3}, {1, 0, 0, 2/3, 0, 1/3, 1, 0}, 
   {0, 2/3, 0, 2/3, 2/3, 0, 0, 0}, {2/3, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 1/3, 0, 0, 0, 0}, {0, 0, 0, 0, 1/3, 0, 1/3, 1/3, 0}, 
   {1/3, 1/3, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 2/3, 0, 2/3, 1/3}, {2/3, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 2/3, 1, 0, 0, 1/3, 2/3, 0, 1/3}, 
   {1/3, 0, 1, 1, 2/3, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 2/3, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 2/3, 1/3, 1/3, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 1/3, 0, 2/3, 2/3, 0, 0, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 1/3, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 1, 0, 1/2, 0}, {1, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 1, 0, 1, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 3/5, 0, 0, 0, 3/5, 0}, 
   {3/5, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1/5, 1, 0, 3/5, 0, 2/5, 4/5, 0}, 
   {2/5, 0, 4/5, 0, 3/5, 3/5, 0, 2/5, 1/5}, {1/5, 1, 0, 0, 0, 0, 4/5, 0, 1}, 
   {0, 1, 1/5, 0, 0, 3/5, 0, 4/5, 2/5}, {1/5, 0, 1, 3/5, 0, 0, 2/5, 0, 4/5}, 
   {1, 4/5, 0, 0, 0, 0, 1/5, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/4, 1/4, 0, 0, 1/2, 1/2, 0, 1/4, 0}, {1/4, 3/4, 0, 0, 1/4, 0, 1/2, 1/2, 
    0}, {0, 1/4, 3/4, 0, 0, 3/4, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 3/4, 1/2, 
    3/4, 0}, {1/2, 0, 0, 1/2, 3/4, 0, 1/4, 0, 1/4}, 
   {1/4, 1/2, 0, 1/2, 1/4, 0, 0, 0, 1/2}, {1/4, 0, 1/2, 0, 1/4, 0, 0, 1/4, 
    1/4}, {0, 0, 3/4, 1/4, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/4, 0, 1/2, 1/4, 0, 
    1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 2/3, 0, 0, 0, 1/3, 0, 0}, {0, 1/3, 1/3, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 0, 1/3, 1/3, 0, 0, 2/3}, {1/3, 1, 0, 0, 1/3, 1/3, 2/3, 1/3, 0}, 
   {0, 0, 0, 1, 2/3, 0, 0, 0, 2/3}, {0, 1/3, 0, 0, 0, 0, 2/3, 1/3, 2/3}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 0, 1/3, 0}, {1/3, 0, 0, 1/3, 0, 2/3, 0, 1/3, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1}, {1, 0, 1, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1/3, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/3, 0, 1/3, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 2/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 0, 0, 0, 0, 2/3, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1/3, 1/3, 1/3, 1/3, 2/3, 0, 1/3, 1/3, 0}, {0, 0, 0, 1, 0, 2/3, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 1, 1}, {0, 1, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 3/5, 0, 0, 0, 3/5, 0, 3/5}, {1/5, 3/5, 0, 0, 2/5, 0, 2/5, 1/5, 0}, 
   {0, 2/5, 2/5, 4/5, 0, 0, 0, 2/5, 0}, {0, 4/5, 0, 0, 2/5, 4/5, 0, 0, 4/5}, 
   {2/5, 0, 0, 2/5, 0, 2/5, 0, 2/5, 0}, {4/5, 0, 3/5, 0, 2/5, 0, 0, 1/5, 0}, 
   {3/5, 3/5, 0, 4/5, 0, 0, 1/5, 0, 3/5}, {0, 0, 3/5, 0, 2/5, 4/5, 2/5, 1, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/3, 0, 2/3, 0, 0, 0, 1, 0}, {0, 0, 1/3, 0, 0, 2/3, 1/3, 0, 1}, 
   {0, 0, 1/3, 2/3, 2/3, 0, 0, 1/3, 2/3}, {0, 2/3, 1, 0, 0, 0, 2/3, 1, 0}, 
   {1, 1/3, 0, 0, 2/3, 0, 1/3, 0, 1}, {0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 1/2}, {1/2, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 1/3, 1/3, 1/3, 0, 1/3}, {0, 2/3, 0, 2/3, 0, 0, 0, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 1, 0, 1/3, 1}, {2/3, 0, 0, 0, 1, 0, 1/3, 0, 0}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 1/3, 0, 0}, {0, 0, 2/3, 0, 1, 0, 0, 2/3, 1/3}, 
   {0, 0, 0, 1/3, 0, 1, 1, 1/3, 0}, {0, 2/3, 2/3, 0, 1, 0, 0, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/4, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 3/4, 0, 1/4, 1/4, 0, 0, 3/4, 0}, 
   {0, 1/2, 1/4, 0, 1/4, 1/4, 1, 0, 1/4}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 
    1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 1/4, 0, 0, 3/4, 0, 
    1/2}, {0, 1/2, 1/4, 0, 1/2, 1/2, 0, 0, 3/4}, 
   {3/4, 0, 1/4, 0, 0, 1/2, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/7, 0, 6/7, 0, 2/7, 0, 0}, {6/7, 0, 0, 0, 4/7, 0, 0, 2/7}, 
   {1/7, 4/7, 0, 0, 0, 0, 3/7, 1/7}, {0, 5/7, 2/7, 0, 0, 1/7, 0, 0}, 
   {1/7, 0, 0, 4/7, 0, 0, 1, 5/7}, {1, 0, 4/7, 0, 0, 3/7, 2/7, 0}, 
   {0, 3/7, 4/7, 0, 6/7, 0, 1/7, 1/7}, {1, 0, 0, 2/7, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {1, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 0, 1, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 1/2, 0, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1/2, 1, 0, 1, 1/2}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 1/2, 1/2, 1, 0, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1, 1, 0, 1/2, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 0, 2/3, 0, 0}, {0, 1/3, 0, 1, 1/3, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 2/3, 2/3, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 2/3}, {1/3, 0, 0, 1/3, 1/3, 0, 0, 2/3}, 
   {0, 1/3, 1/3, 0, 2/3, 0, 0, 0}, {0, 1/3, 1/3, 0, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 1/2, 0, 1/2}, {0, 1, 0, 0, 1, 1, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, {0, 0, 1, 1/2, 0, 1, 0, 0, 1/2}, 
   {1, 1, 0, 0, 1, 0, 1, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 1, 0, 1}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/4, 1/4, 1/2, 0, 1/2, 0, 0, 1/4}, {1/4, 0, 1, 1/4, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 3/4, 0, 1/2, 1/4, 0, 1/2}, {0, 0, 0, 1/4, 1/2, 1/4, 0, 1/2, 0}, 
   {1/4, 1/2, 0, 0, 0, 0, 1/4, 1, 0}, {1/4, 0, 0, 1/4, 1, 0, 1/4, 0, 0}, 
   {0, 1/4, 0, 0, 1/4, 1/2, 1/4, 0, 1/4}, {1/2, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 1/3, 0, 1, 0, 1/3}, {0, 0, 2/3, 0, 0, 1, 0, 1/3, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/3, 2/3}, {2/3, 0, 2/3, 0, 0, 0, 2/3, 0, 1/3}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 2/3, 1/3}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 1/3}, 
   {0, 2/3, 2/3, 0, 0, 1, 1/3, 0, 0}, {0, 2/3, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1/3, 1, 0, 0, 1, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 0, 0, 1, 0, 2/3, 0}, {0, 1, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {1, 0, 0, 2/3, 1/3, 0, 0, 2/3}, {0, 1/3, 2/3, 0, 1/3, 0, 0, 2/3}, 
   {1, 0, 1, 1, 0, 0, 2/3, 0}, {0, 1, 0, 0, 1/3, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 1}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1, 1/2, 1, 0, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0}, {1/3, 0, 2/3, 0, 2/3, 1/3, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 2/3, 0, 1/3, 0}, 
   {0, 1, 2/3, 0, 0, 1/3, 0, 1/3}, {1/3, 0, 0, 2/3, 0, 0, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 2/3, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 1/3, 0, 0}, 
   {1/3, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1/3, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1/3, 1/3, 0, 2/3, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1/3}, {0, 1, 0, 0, 0, 0, 2/3, 1, 0}, 
   {1/3, 0, 0, 1/3, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 1, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 2/3, 0, 1, 0}, 
   {1/3, 0, 2/3, 2/3, 0, 1/3, 0, 0, 0}, {0, 1/3, 0, 1, 0, 0, 2/3, 0, 1}, 
   {2/3, 1, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 0, 1, 0, 2/3, 0, 2/3}, 
   {0, 1/3, 0, 1/3, 2/3, 0, 0, 0, 1/3}, {1/3, 0, 1/3, 1/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 1/3, 1/3, 0, 1/3, 1, 0}, {0, 1/3, 0, 0, 1/3, 1, 2/3, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 1/2, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 0, 1, 1, 0, 0, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1, 1/2, 1, 0, 0}, 
   {1, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1/2, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/5, 3/5, 0, 0, 1/5, 0, 1/5, 0, 3/5}, 
   {0, 0, 0, 1, 0, 1/5, 2/5, 1/5, 0}, {2/5, 0, 2/5, 3/5, 0, 0, 0, 0, 0}, 
   {0, 1, 2/5, 0, 2/5, 0, 0, 2/5, 0}, {0, 2/5, 0, 0, 0, 3/5, 2/5, 4/5, 0}, 
   {1/5, 0, 3/5, 1/5, 3/5, 0, 1, 0, 1}, {4/5, 0, 2/5, 0, 3/5, 0, 0, 1, 0}, 
   {0, 3/5, 0, 1/5, 0, 2/5, 1/5, 0, 1}, {0, 0, 2/5, 0, 1, 4/5, 2/5, 1/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {1, 1, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {1/2, 1, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/5, 2/5, 0, 2/5, 0, 0, 3/5, 0}, {1/5, 0, 3/5, 2/5, 0, 2/5, 3/5, 0, 
    1/5}, {0, 2/5, 0, 2/5, 0, 2/5, 0, 4/5, 0}, {2/5, 0, 0, 0, 2/5, 0, 4/5, 0, 
    2/5}, {2/5, 0, 2/5, 4/5, 2/5, 0, 0, 0, 0}, {2/5, 3/5, 0, 0, 0, 0, 1/5, 0, 
    1/5}, {0, 3/5, 0, 0, 0, 0, 3/5, 0, 3/5}, {3/5, 0, 1/5, 0, 0, 4/5, 0, 3/5, 
    2/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 1/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 0, 1/3, 0, 2/3, 1/3}, {0, 0, 2/3, 0, 1/3, 0, 0, 2/3, 2/3}, 
   {1, 1/3, 1, 0, 0, 0, 0, 0, 0}, {2/3, 0, 0, 0, 1/3, 0, 2/3, 0, 1/3}, 
   {0, 1/3, 1/3, 0, 0, 1/3, 1, 0, 0}, {1/3, 1/3, 0, 1/3, 0, 0, 1/3, 1/3, 0}, 
   {2/3, 2/3, 0, 1/3, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 1/2, 1}, {1/2, 0, 0, 0, 1, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1/2, 1}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 1, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 1, 0, 2/3, 1, 0, 0, 0}, 
   {2/3, 0, 1, 0, 0, 1, 2/3, 0, 0}, {1/3, 1, 0, 1, 1/3, 0, 2/3, 0, 0}, 
   {0, 0, 1, 1, 1/3, 0, 0, 0, 2/3}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/3, 1, 0, 2/3, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 4/7, 0, 2/7, 0, 4/7, 0, 0, 0}, 
   {2/7, 0, 0, 0, 0, 2/7, 6/7, 0, 4/7}, {2/7, 6/7, 0, 0, 0, 0, 2/7, 2/7, 0}, 
   {3/7, 0, 1/7, 1/7, 4/7, 0, 0, 2/7, 2/7}, {1, 0, 3/7, 3/7, 0, 0, 2/7, 4/7, 
    0}, {0, 3/7, 0, 0, 1, 3/7, 4/7, 0, 4/7}, {1/7, 0, 3/7, 0, 3/7, 1/7, 0, 
    4/7, 0}, {0, 3/7, 0, 1, 0, 2/7, 2/7, 0, 4/7}, 
   {0, 3/7, 4/7, 5/7, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1/2}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1}, {0, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1, 1, 1/2, 0, 0, 0, 0, 1}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1, 1/2, 0, 0}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1, 1, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{3/5, 0, 1/5, 0, 3/5, 0, 3/5, 1/5, 1}, 
   {3/5, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 4/5, 3/5, 0, 4/5, 2/5, 0}, 
   {0, 3/5, 0, 0, 1/5, 4/5, 1/5, 1/5, 1/5}, {1, 0, 1, 0, 1, 0, 0, 4/5, 0}, 
   {2/5, 1, 0, 1/5, 0, 1/5, 0, 0, 4/5}, {0, 2/5, 0, 0, 0, 0, 0, 2/5, 0}, 
   {0, 0, 2/5, 0, 0, 0, 2/5, 0, 0}, {0, 0, 0, 2/5, 0, 2/5, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/3, 2/3, 1/3, 0}, {1/3, 0, 0, 1/3, 0, 0, 1, 0, 0}, 
   {1/3, 0, 1, 1/3, 0, 0, 0, 0, 0}, {0, 0, 1/3, 1/3, 0, 2/3, 1/3, 0, 1}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 0, 0, 1}, {2/3, 1, 0, 1/3, 1/3, 0, 0, 1, 0}, 
   {0, 1/3, 0, 1/3, 2/3, 0, 0, 0, 1}, {0, 2/3, 0, 0, 1/3, 0, 0, 1/3, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 1, 0, 0, 1/3}, 
   {0, 0, 2/3, 1/3, 1, 0, 1/3, 1/3, 0}, {0, 2/3, 0, 0, 0, 1, 2/3, 0, 1}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 1/3, 1/3, 0, 2/3, 2/3, 1/3}, 
   {2/3, 0, 0, 1, 1/3, 0, 0, 0, 1/3}, {0, 0, 0, 2/3, 0, 1/3, 1/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, {1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1/2, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 0, 1, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 2/3, 1/3, 0, 0}, {1/3, 1, 0, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 1, 0, 2/3, 0, 0, 0, 1}, {0, 1/3, 0, 2/3, 2/3, 2/3, 0, 1/3, 0}, 
   {0, 1, 0, 2/3, 2/3, 0, 2/3, 1/3, 0}, {1, 0, 1/3, 1/3, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 1/3, 0, 1/3}, {0, 1/3, 1/3, 0, 0, 0, 0, 1/3, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {2/3, 0, 0, 0, 1, 0, 0, 1/3, 1}, {0, 0, 2/3, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 0, 0, 1, 0, 1/3, 0, 0}, {0, 0, 0, 1, 0, 1/3, 0, 1/3, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 3/4, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 1/4, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1}, 
   {1, 0, 3/4, 0, 0, 0, 1/4, 0, 0}, {0, 0, 0, 1, 1/4, 1/2, 0, 0, 0}, 
   {0, 0, 1/4, 1, 0, 1/2, 0, 0, 1/4}, {0, 1, 1/2, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1/2, 0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 1/2}, {1, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 1/3, 0, 1, 1/3, 0}, {0, 0, 0, 0, 1, 0, 0, 1/3}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 2/3, 0, 1/3, 1/3, 1/3, 0}, {0, 0, 1, 1/3, 0, 0, 2/3, 1}, 
   {2/3, 0, 0, 0, 1/3, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 0, 0, 0, 0, 2/3}, {0, 1/3, 1, 0, 1/3, 1, 0, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 1/3, 1, 1, 2/3, 0, 0, 0, 0}, 
   {1, 0, 2/3, 0, 1/3, 1/3, 0, 0, 0}, {1, 0, 0, 0, 1/3, 1/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 2/3, 0, 0, 0, 1/3, 0}, 
   {1, 1/3, 0, 0, 0, 0, 1/3, 0, 1/3}, {1/3, 1/3, 0, 0, 2/3, 2/3, 0, 1/3, 0}, 
   {1, 1, 0, 0, 0, 0, 2/3, 1, 0}, {0, 2/3, 1, 0, 0, 2/3, 1/3, 0, 1/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 1/3, 2/3, 0, 1}, {1/3, 0, 0, 2/3, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 1/3, 0, 2/3}, {0, 1/3, 0, 0, 1/3, 2/3, 1/3, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 0, 2/3, 0}, {1/3, 0, 2/3, 2/3, 0, 1/3, 1/3, 1/3, 
    0}, {2/3, 2/3, 0, 1/3, 0, 0, 1, 0, 1}, {0, 0, 1/3, 0, 1/3, 2/3, 0, 1, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, {0, 1, 0, 1/2, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {1, 0, 1, 0, 1/2, 0, 0, 1, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0}}, 
  {{3, 3}, {2, 2, 2}}}, {{{0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 1/3, 2/3, 0, 0, 0, 0, 1/3}, 
   {0, 1, 0, 0, 0, 2/3, 0, 1/3}, {1/3, 0, 2/3, 0, 0, 1/3, 1/3, 0}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 0, 1/3}, {0, 1, 2/3, 2/3, 0, 1/3, 1/3, 0}, 
   {1/3, 0, 0, 0, 2/3, 2/3, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 1/2, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1/3, 1, 0, 2/3, 0, 0}, 
   {1/3, 0, 2/3, 2/3, 0, 1/3, 0, 0, 2/3}, {1, 2/3, 0, 0, 2/3, 1, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 0}, {0, 1/3, 1, 0, 2/3, 1/3, 0, 0, 2/3}, 
   {0, 1, 1/3, 2/3, 0, 1, 2/3, 0, 0}, {1, 0, 0, 1, 1, 0, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 1, 0, 1/3, 0, 1/3, 0}, 
   {0, 2/3, 0, 0, 1, 0, 1/3, 0, 1/3}, {0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 0, 2/3, 1/3, 0, 2/3, 1, 0}, {0, 2/3, 2/3, 1, 0, 1, 1/3, 0, 1/3}, 
   {2/3, 0, 2/3, 0, 1, 0, 0, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 1, 0, 0, 0}, {0, 1, 1/3, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 1, 0, 0, 0, 2/3, 0}, {0, 1, 0, 1/3, 1, 0, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 2/3, 2/3}, {0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, {1/3, 0, 0, 0, 2/3, 2/3, 1/3, 1/3, 0}, 
   {0, 1/3, 1, 2/3, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 2/3, 1, 1/3, 0}, 
   {1/3, 0, 0, 0, 2/3, 2/3, 0, 0, 1/3}, {1, 2/3, 0, 0, 0, 0, 0, 2/3, 1/3}, 
   {0, 1/3, 1/3, 2/3, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 1/3, 0, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 1/3, 0, 0, 2/3}, 
   {1, 0, 0, 2/3, 2/3, 0, 1/3, 0, 0}, {0, 2/3, 1/3, 0, 1/3, 0, 0, 0, 1/3}, 
   {0, 1, 0, 1/3, 1/3, 0, 0, 0, 0}, {0, 0, 1/3, 1/3, 0, 1, 1/3, 1/3, 0}, 
   {2/3, 0, 2/3, 1/3, 0, 0, 0, 1/3, 1/3}, {1, 1/3, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1/3, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 2/3, 1/3, 2/3, 0, 0, 1/3, 1/3}, 
   {2/3, 2/3, 0, 1, 0, 0, 0, 1/3, 1}, {0, 0, 2/3, 1/3, 0, 2/3, 1/3, 0, 0}, 
   {2/3, 0, 0, 0, 1, 1, 0, 1/3, 1}, {2/3, 2/3, 0, 1, 0, 0, 1, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 1, 0, 1/3, 0, 0}, {0, 2/3, 1/3, 0, 1/3, 0, 1/3, 1/3}, 
   {0, 0, 0, 1/3, 0, 0, 1, 1/3}, {0, 0, 1/3, 0, 1, 1/3, 0, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 2/3, 0, 1/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 2/3, 1/3, 0}, {2/3, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/3, 2/3, 0, 0, 2/3, 1/3, 0, 2/3}, {1/3, 0, 1, 0, 0, 0, 0, 1/3, 1}, 
   {2/3, 1, 0, 2/3, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 2/3, 0, 0, 0, 1}, 
   {1/3, 0, 1, 0, 0, 0, 1, 1/3, 0}, {0, 1, 0, 0, 0, 0, 0, 2/3, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {1, 1, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 2/3, 0, 0, 1/3, 0, 0, 1/3}, {1/3, 1/3, 0, 1/3, 0, 1/3, 0, 2/3, 
    0}, {0, 1/3, 2/3, 0, 1/3, 0, 0, 0, 2/3}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 1/3, 
    0}, {1/3, 0, 0, 1/3, 1/3, 0, 1/3, 0, 1/3}, {0, 1/3, 1/3, 0, 0, 0, 2/3, 
    2/3, 1/3}, {0, 0, 1/3, 0, 2/3, 0, 1/3, 2/3, 0}, 
   {1/3, 2/3, 0, 0, 1/3, 1/3, 0, 0, 0}, {1/3, 2/3, 0, 0, 0, 1/3, 1/3, 0, 
    1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 2/3, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 2/3, 2/3, 0}, 
   {2/3, 0, 1/3, 0, 0, 0, 0, 2/3, 1/3}, {0, 0, 1/3, 2/3, 0, 2/3, 0, 0, 1}, 
   {1, 1/3, 0, 0, 2/3, 0, 1/3, 1/3, 0}, {1/3, 1/3, 0, 2/3, 2/3, 0, 0, 0, 
    1/3}, {1, 1/3, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/3, 2/3, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1/2, 1, 0, 1, 1, 0}, 
   {1, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1/2, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1, 1}, {1, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 3/4, 1/4, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/4, 1, 0}, 
   {1/4, 3/4, 1/4, 0, 0, 1/4, 0, 0, 1/4}, {0, 0, 0, 1, 0, 1, 1/4, 0, 0}, 
   {1/4, 1, 0, 0, 0, 0, 1/4, 0, 1/2}, {1/4, 0, 1/2, 1/4, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/4, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 1, 0, 1}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 0, 1, 1, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 2/3, 0, 1, 0, 1/3, 1, 1/3, 0}, {0, 0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 1, 0, 1/3, 1/3, 0}, {2/3, 0, 0, 1/3, 0, 1/3, 0, 2/3, 1}, 
   {0, 0, 2/3, 2/3, 1/3, 0, 1, 1, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 4/5, 3/5, 0, 1/5, 0, 0, 0, 2/5}, 
   {2/5, 0, 1, 0, 1, 0, 0, 0, 0}, {1/5, 1, 0, 1/5, 0, 1, 0, 0, 0}, 
   {2/5, 1/5, 0, 3/5, 1, 2/5, 0, 0, 0}, {1/5, 0, 1, 4/5, 0, 3/5, 0, 0, 0}, 
   {0, 3/5, 0, 3/5, 1, 0, 2/5, 0, 0}, {3/5, 0, 0, 1/5, 0, 2/5, 0, 0, 0}, 
   {0, 1/5, 1/5, 0, 3/5, 3/5, 0, 2/5, 0}, {3/5, 2/5, 0, 1/5, 0, 0, 0, 2/5, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 1/2, 0, 0, 0, 1/2, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1/2}, {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1/2}, {0, 1, 0, 0, 0, 1, 1, 0, 1/2}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 1, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1/2, 1/2}, {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1/3, 0, 0, 0, 0}, {0, 1/3, 0, 1/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 1, 1/3, 0, 1/3, 2/3, 1, 0}, {2/3, 1/3, 2/3, 0, 1/3, 1/3, 0, 0, 0}, 
   {1, 2/3, 0, 0, 1, 0, 0, 0, 1}, {1, 2/3, 0, 0, 0, 0, 2/3, 1, 0}, 
   {0, 0, 0, 2/3, 0, 1, 0, 0, 1}, {0, 1/3, 1, 1/3, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 1, 1/2, 0, 0, 1}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1/2, 0}, {1, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1/3, 1/3, 0, 2/3, 0, 2/3}, {0, 0, 1, 1, 1/3, 0, 0, 0, 2/3}, 
   {1, 1, 0, 0, 0, 1/3, 0, 2/3, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 1/3, 0, 0, 1/3, 0, 2/3, 2/3}, {0, 0, 1, 0, 0, 1/3, 0, 2/3, 0}, 
   {1, 1/3, 0, 1/3, 1/3, 0, 0, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1/2}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/4, 1/2, 0, 0, 1/4, 3/4, 1/2, 1/4, 1/2}, 
   {0, 0, 1, 1/2, 1, 0, 1/4, 0, 1/2}, {1, 1, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 1/4, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1/4, 1/4, 0, 3/4, 0, 1/4, 0}, 
   {1, 0, 0, 3/4, 0, 0, 1/4, 0, 0}, {1/4, 0, 0, 0, 0, 0, 1/4, 3/4, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 1, 1, 2/3, 0}, 
   {0, 1/3, 0, 1, 1, 0, 0, 0, 1}, {2/3, 1/3, 1, 0, 1/3, 0, 1/3, 0, 0}, 
   {1/3, 0, 0, 1/3, 1/3, 0, 1, 2/3, 0}, {0, 0, 0, 0, 0, 1, 0, 1/3, 1/3}, 
   {0, 1/3, 0, 0, 1/3, 1, 0, 0, 1/3}, {0, 0, 1/3, 1/3, 0, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 1/3, 0}, {0, 0, 0, 1/3, 0, 0, 0, 1/3, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1}, {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3}, {1/3, 0, 2/3, 1/3, 0, 0, 2/3, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1/3, 1, 0, 1/3, 0, 2/3, 2/3}, 
   {0, 1/3, 2/3, 1/3, 0, 2/3, 0, 2/3}, {1/3, 0, 1, 0, 1/3, 2/3, 0, 0}, 
   {0, 1, 0, 1, 2/3, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 0, 0, 1/3, 1}, 
   {1, 1/3, 0, 0, 2/3, 0, 1/3, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 2/3, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1/3, 1}, {0, 0, 1, 0, 2/3, 2/3, 1/3, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 1/3, 0, 1/3, 0, 0}, {0, 0, 1, 0, 1/3, 0, 1, 1/3}, 
   {0, 2/3, 0, 1, 0, 0, 1/3, 1/3}, {0, 0, 1/3, 0, 1/3, 1, 0, 2/3}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1, 1, 0, 0, 1/2, 0}, {1, 0, 0, 1, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 1/4, 0, 0, 0, 0, 0}, 
   {0, 1/4, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/4, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1/4, 0, 1, 3/4, 0, 1, 0, 0, 0}, 
   {0, 3/4, 0, 0, 1/4, 1/2, 0, 0, 1/2}, {3/4, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 1, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 1, 0, 1, 0, 1, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 1, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 1, 1, 1/2, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/3, 1, 0, 1/3}, 
   {0, 2/3, 1, 1/3, 0, 0, 1/3, 0}, {0, 0, 1/3, 1, 0, 1, 0, 1/3}, 
   {0, 0, 0, 0, 1, 0, 1, 2/3}, {0, 0, 0, 2/3, 0, 0, 2/3, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 0, 2/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 1, 0}, {0, 2/3, 1, 0, 1/3, 1/3, 0, 1/3}, 
   {0, 2/3, 1/3, 0, 1/3, 2/3, 1/3, 0}, {0, 0, 0, 1/3, 2/3, 1, 0, 1/3}, 
   {0, 0, 1, 0, 1, 0, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1/2, 1}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 2/3, 0, 1/3, 0, 1/3, 0, 0}, 
   {0, 1, 0, 2/3, 0, 0, 2/3, 0, 2/3}, {0, 0, 1, 0, 1/3, 2/3, 0, 1/3, 1/3}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, {2/3, 0, 1/3, 0, 1/3, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 1/3, 2/3, 2/3, 1/3, 0}, {1/3, 2/3, 0, 0, 1/3, 2/3, 0, 0, 
    1/3}, {1/3, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 1/3, 2/3, 0, 0, 0, 1/3, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1/2, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 0, 1, 1, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1/2, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1, 0, 1/2, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1, 1/2}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1/2, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1/2, 1, 0, 1, 0, 0, 1/2}, {1/2, 1, 0, 1/2, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 1, 1, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 0, 0, 1/3, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, {0, 0, 0, 1, 0, 1/3, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 2/3, 1/3, 0, 1/3, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 3/4, 1/2, 1, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 3/4, 0, 1/2}, {1/4, 0, 1/4, 0, 3/4, 1/4, 3/4, 0, 
    3/4}, {0, 1/4, 0, 0, 1, 0, 0, 3/4, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1/4}, 
   {0, 1, 0, 3/4, 0, 1/2, 1, 0, 1}, {0, 1/4, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/4}, {0, 1/4, 1/2, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 1, 0, 2/3, 0, 0}, 
   {0, 1/3, 1/3, 0, 1, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {1/3, 0, 1, 0, 1, 2/3, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 2/3}, 
   {0, 1/3, 0, 1, 0, 0, 2/3, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 1/2, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 4/5, 2/5, 0, 0, 0, 0}, 
   {4/5, 0, 0, 0, 0, 0, 0, 0}, {0, 3/5, 0, 2/5, 4/5, 1/5, 0, 0}, 
   {1/5, 0, 2/5, 2/5, 0, 0, 1, 3/5}, {2/5, 3/5, 0, 0, 0, 1/5, 2/5, 0}, 
   {1/5, 2/5, 0, 0, 2/5, 1/5, 0, 0}, {0, 3/5, 0, 0, 4/5, 0, 1/5, 1/5}, 
   {1/5, 0, 2/5, 0, 0, 1, 0, 2/5}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{3/11, 3/11, 0, 0, 8/11, 6/11, 0, 0, 7/11}, {0, 8/11, 1/11, 6/11, 0, 6/11, 
    7/11, 3/11, 0}, {6/11, 0, 7/11, 0, 0, 0, 1/11, 1, 0}, 
   {1/11, 1, 0, 0, 6/11, 0, 1, 3/11, 0}, {0, 4/11, 3/11, 4/11, 4/11, 0, 4/11, 
    0, 3/11}, {4/11, 0, 3/11, 8/11, 0, 2/11, 0, 0, 1}, 
   {4/11, 0, 8/11, 0, 0, 4/11, 10/11, 0, 0}, {0, 0, 0, 8/11, 4/11, 2/11, 
    6/11, 0, 2/11}, {0, 10/11, 0, 0, 0, 0, 0, 8/11, 4/11}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1, 0, 0, 0, 1/2, 1/2}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1/2, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 0, 1/3, 1/3, 0, 0}, {2/3, 1/3, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 1/3, 2/3, 0, 0, 2/3}, {0, 1/3, 0, 2/3, 1/3, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 2/3, 1/3, 0, 0, 2/3, 2/3}, 
   {1/3, 1/3, 0, 0, 1/3, 1/3, 1/3, 2/3, 0}, {1/3, 0, 0, 0, 0, 0, 2/3, 1, 
    1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {1/3, 1/3, 1/3, 0, 0, 1/3, 2/3, 0, 1/3}, {0, 2/3, 0, 2/3, 0, 1, 1, 1/3, 
    0}, {2/3, 2/3, 0, 1/3, 1, 0, 0, 0, 1}, {0, 0, 0, 1/3, 1, 0, 1, 1/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 1/3, 0, 2/3, 1/3}, {2/3, 2/3, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1, 1}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, {1/2, 1/2, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1, 1, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1/2}, {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {1/2, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1/3, 1/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 1/3, 0, 2/3}, {1/3, 1/3, 0, 0, 1/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 1/3, 0, 2/3, 0}, {0, 0, 0, 0, 2/3, 0, 0, 0, 1/3}, 
   {0, 0, 0, 1/3, 2/3, 1/3, 1/3, 2/3, 0}, {0, 1/3, 1/3, 1, 0, 1, 1/3, 0, 
    1/3}, {0, 0, 1/3, 1/3, 1/3, 0, 2/3, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 1/3, 0, 0, 0}, 
   {0, 0, 1/3, 1/3, 2/3, 0, 1/3, 0, 0}, {0, 0, 2/3, 1/3, 0, 2/3, 0, 1/3, 
    1/3}, {0, 0, 0, 0, 1, 1/3, 1/3, 0, 2/3}, {1/3, 1, 0, 0, 1, 0, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 1, 0, 0, 2/3, 2/3}, {2/3, 0, 1, 0, 1/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 1, 0, 2/3, 1/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 2/3, 0, 0, 1, 0, 1/3}, {0, 1, 0, 0, 1/3, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 1/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 1/3, 0}, 
   {1/3, 1/3, 0, 1, 0, 1/3, 0, 0, 0}, {0, 0, 0, 1/3, 2/3, 1, 0, 0, 0}, 
   {1/3, 0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, {0, 0, 0, 0, 2/3, 2/3, 1/3, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 1, 1/2, 0, 0, 1/2, 1, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1, 0, 0, 1/2, 1, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}, {1, 0, 0, 0, 1, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1, 1, 0}, {1, 0, 1/2, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 1/2, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1}, {1, 0, 0, 0, 1/2, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 0, 1, 0, 1/3}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 2/3, 0, 1/3, 0, 0, 2/3, 0, 0}, 
   {2/3, 1, 0, 0, 0, 1/3, 0, 1/3, 2/3}, {0, 1/3, 1, 2/3, 1, 0, 0, 0, 0}, 
   {1, 0, 1/3, 1, 0, 0, 0, 0, 2/3}, {1/3, 0, 0, 0, 1, 0, 0, 2/3, 2/3}, 
   {0, 1, 2/3, 1/3, 0, 1, 1/3, 0, 0}, {1, 0, 0, 0, 1/3, 0, 2/3, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1/2, 1, 0, 1/2, 0}, {0, 1, 1, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, {0, 1/2, 0, 1, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1, 1, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 1, 1/2, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 
    0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 
    1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1}, {1/2, 1, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 1, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 1, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, 
   {1/2, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1/2, 1, 1, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, {1/2, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 2/5, 4/5, 0}, 
   {4/5, 0, 0, 0, 0, 0, 0, 0, 0}, {1/5, 2/5, 3/5, 0, 3/5, 2/5, 0, 0, 0}, 
   {0, 1, 0, 1/5, 0, 1/5, 4/5, 0, 4/5}, {1/5, 0, 1, 0, 3/5, 0, 0, 2/5, 2/5}, 
   {0, 3/5, 4/5, 0, 1/5, 0, 2/5, 0, 4/5}, {2/5, 1, 0, 2/5, 1/5, 0, 0, 4/5, 
    0}, {1/5, 0, 1, 3/5, 0, 3/5, 2/5, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, 
   {1/2, 1, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 1, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {1/3, 0, 1/3, 0, 1/3, 2/3, 1/3, 1/3, 0}, 
   {0, 1/3, 0, 1/3, 0, 1, 1, 1, 0}, {2/3, 1/3, 0, 0, 1, 0, 0, 0, 1}, 
   {1/3, 0, 1/3, 2/3, 1/3, 2/3, 0, 0, 1/3}, {0, 1/3, 0, 1/3, 0, 1, 0, 0, 1}, 
   {2/3, 1, 0, 0, 1, 0, 1/3, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 2/3, 0, 1/3, 0, 1/3, 2/3, 0, 0}, {1/3, 0, 1, 0, 1/3, 2/3, 0, 0, 
    1/3}, {0, 1, 0, 1/3, 0, 0, 2/3, 1/3, 0}, {1, 0, 1/3, 1/3, 1/3, 0, 1/3, 0, 
    0}, {1/3, 2/3, 0, 0, 0, 1/3, 0, 1/3, 2/3}, {0, 1/3, 0, 0, 1/3, 1/3, 1/3, 
    0, 2/3}, {0, 0, 2/3, 1/3, 0, 0, 0, 1/3, 0}, {0, 0, 0, 1/3, 1/3, 0, 0, 
    1/3, 2/3}, {1/3, 1/3, 0, 0, 1/3, 2/3, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1/3, 2/3, 0, 1/3, 2/3, 0, 0, 0}, {0, 0, 1, 1/3, 0, 1/3, 0, 0, 2/3}, 
   {1, 1, 0, 0, 1, 0, 2/3, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 1/3, 0, 1/3, 0, 2/3, 2/3, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {2/3, 0, 1/3, 0, 1, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 1/2}, {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1/3, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1/3, 1, 1, 1/3, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 1/3, 1/3, 0, 2/3, 1}, {0, 0, 0, 1, 2/3, 0, 1/3, 1, 0}, 
   {0, 0, 2/3, 1, 0, 0, 1/3, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 2/3}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1/3, 1, 0, 1/3, 1, 0, 2/3, 1/3, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1/3, 0}, {0, 2/3, 1/3, 0, 0, 1/3, 1, 0, 1/3}, 
   {1, 1, 0, 0, 0, 1, 0, 1/3, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 1, 0, 2/3, 0}, {1/3, 0, 1, 1/3, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 1, 1, 0, 0, 2/3, 0}, {1, 0, 0, 0, 1, 0, 0, 2/3}, 
   {1/3, 0, 0, 0, 1, 2/3, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/5, 0, 1, 2/5, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 3/5, 1}, 
   {2/5, 0, 4/5, 0, 2/5, 0, 0, 4/5, 0}, {4/5, 2/5, 0, 0, 0, 0, 4/5, 2/5, 0}, 
   {0, 4/5, 0, 0, 4/5, 0, 4/5, 0, 0}, {3/5, 0, 1/5, 0, 0, 0, 0, 1/5, 1}, 
   {0, 3/5, 0, 2/5, 0, 4/5, 1/5, 0, 0}, {4/5, 1, 0, 0, 0, 0, 1/5, 2/5, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 1}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 1, 0, 1/2, 1/2, 0, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1, 1, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, {1, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/3, 1/3, 1, 0, 2/3, 0, 2/3}, 
   {1/3, 0, 0, 0, 1, 0, 2/3, 0}, {1/3, 0, 1, 1, 0, 0, 2/3, 0}, 
   {0, 1/3, 2/3, 0, 1/3, 0, 0, 2/3}, {1/3, 0, 0, 0, 1/3, 1, 1/3, 1}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1, 1/2}, 
   {0, 1, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 1}, {0, 0, 1/2, 0, 1, 1, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 2/5, 0, 0, 0, 4/5}, {0, 0, 0, 0, 4/5, 0, 2/5, 0}, 
   {0, 1, 0, 0, 1/5, 0, 0, 4/5}, {0, 3/5, 2/5, 0, 1/5, 2/5, 0, 2/5}, 
   {1/5, 0, 1, 1, 0, 0, 4/5, 0}, {3/5, 0, 2/5, 0, 1/5, 4/5, 0, 0}, 
   {0, 1/5, 1/5, 3/5, 0, 4/5, 4/5, 0}, {1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 2/5, 0, 0, 2/5, 0, 4/5}, 
   {2/5, 0, 0, 0, 0, 2/5, 0, 0, 0}, {1/5, 1/5, 4/5, 1/5, 4/5, 0, 2/5, 0, 0}, 
   {2/5, 0, 1, 0, 1, 1/5, 0, 0, 0}, {3/5, 1, 0, 1, 0, 0, 0, 2/5, 0}, 
   {0, 2/5, 1, 3/5, 0, 0, 0, 4/5, 0}, {1/5, 1, 0, 0, 1, 3/5, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 4/5, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 1/2, 1}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, {1, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/5, 0, 2/5, 0, 0, 0, 2/5}, 
   {2/5, 4/5, 0, 0, 0, 2/5, 0, 0, 0}, {0, 1, 0, 2/5, 2/5, 0, 0, 3/5, 0}, 
   {1/5, 0, 1, 2/5, 0, 4/5, 1/5, 0, 1/5}, {2/5, 3/5, 0, 0, 0, 0, 2/5, 1, 0}, 
   {1/5, 0, 1, 0, 0, 2/5, 2/5, 3/5, 0}, {1, 0, 3/5, 2/5, 2/5, 0, 0, 1/5, 0}, 
   {2/5, 3/5, 0, 0, 0, 0, 3/5, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 1}, {1/2, 0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1, 1/2, 0, 1/2}, {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0, 0}, {1, 2/3, 1/3, 0, 0, 0, 0, 1/3, 0}, 
   {0, 1, 0, 0, 0, 2/3, 1, 0, 1/3}, {1, 0, 1/3, 2/3, 0, 0, 0, 1, 0}, 
   {1, 0, 1/3, 0, 2/3, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 2/3}, 
   {2/3, 1/3, 0, 0, 2/3, 2/3, 0, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/7, 0, 0, 4/7, 2/7, 0, 0, 0}, {0, 6/7, 0, 0, 0, 0, 2/7, 2/7, 0}, 
   {2/7, 0, 2/7, 2/7, 0, 0, 0, 0, 6/7}, {0, 4/7, 0, 3/7, 3/7, 4/7, 1/7, 0, 
    3/7}, {6/7, 0, 4/7, 0, 0, 3/7, 0, 1, 0}, {2/7, 0, 0, 1/7, 1, 0, 5/7, 0, 
    1}, {0, 4/7, 2/7, 1/7, 1/7, 0, 2/7, 3/7, 0}, {0, 4/7, 0, 3/7, 3/7, 0, 0, 
    5/7, 0}, {2/7, 0, 2/7, 4/7, 0, 1, 1, 0, 1/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 1/3, 1, 0, 1/3, 0, 1/3}, {0, 2/3, 0, 1/3, 0, 1/3, 0, 1/3, 
    1/3}, {1/3, 1/3, 0, 0, 0, 2/3, 0, 2/3, 0}, {2/3, 2/3, 0, 1/3, 1, 0, 0, 
    2/3, 0}, {0, 0, 1/3, 0, 2/3, 1/3, 0, 0, 1/3}, 
   {0, 0, 2/3, 0, 0, 1/3, 2/3, 0, 2/3}, {0, 0, 1/3, 1/3, 0, 0, 1/3, 2/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1, 1, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 1/2, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1, 1/2, 1/2, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 1}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 1}, {1, 0, 1/2, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1/2, 1}, 
   {0, 1, 1/2, 1, 0, 1/2, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 2/3, 1/3, 0, 1/3, 1/3, 0, 1/3, 0}, {0, 1, 1/3, 2/3, 2/3, 0, 0, 0, 
    2/3}, {0, 1/3, 0, 1/3, 0, 2/3, 2/3, 2/3, 0}, {0, 0, 1/3, 1/3, 2/3, 0, 0, 
    1/3, 0}, {1/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 1/3, 0, 1/3, 1/3, 1/3, 
    0, 1/3}, {2/3, 0, 2/3, 0, 0, 0, 1/3, 0, 0}, {0, 0, 1/3, 1/3, 0, 1, 0, 0, 
    1/3}, {1/3, 0, 0, 0, 1/3, 0, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1, 1, 1, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 2/3, 0, 0, 0, 0, 1/3}, {0, 1/3, 0, 0, 0, 1/3, 1, 0}, 
   {0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, {2/3, 0, 0, 2/3, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 0, 0, 0, 2/3, 2/3, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 2/3, 0, 0, 1, 1/3, 0}, {0, 1/3, 0, 0, 2/3, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 1/3, 0, 1, 1/3, 1, 0}, 
   {2/3, 0, 0, 1, 2/3, 0, 0, 1/3}, {0, 0, 2/3, 1, 0, 0, 0, 1}, 
   {0, 0, 1/3, 0, 1, 0, 0, 1}, {2/3, 0, 0, 1, 2/3, 1/3, 1/3, 0}, 
   {2/3, 0, 0, 1, 0, 1/3, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1, 1/2, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1}, {1, 0, 1/2, 1/2, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/3, 1/3, 0, 2/3}, 
   {0, 0, 2/3, 1/3, 0, 2/3, 0, 1/3, 1/3}, {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 0, 1/3, 0, 0, 1/3, 2/3, 0}, {0, 0, 0, 0, 1, 1/3, 0, 1, 1/3}, 
   {2/3, 0, 0, 1, 0, 2/3, 1, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1/2, 0, 1, 0, 1, 0}, {1/2, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 1/2}, {1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1, 1, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 1, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1, 0, 0}, {1, 1/2, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1/2, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 2/3, 1/3, 1/3, 0, 1/3, 1/3, 0}, {0, 2/3, 0, 1/3, 1, 0, 1/3, 1, 
    0}, {2/3, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 2/3, 0, 1/3, 1, 2/3, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 0, 1, 1, 1, 0}, {2/3, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1/2, 0, 1, 1, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 
    1/2}, {1/2, 0, 1, 1, 1/2, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 0, 0, 2/3, 0, 1/3, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1/3, 2/3, 0, 0, 0, 1/3, 1}, {1/3, 0, 0, 2/3, 0, 1, 0, 2/3}, 
   {1, 0, 0, 0, 0, 1, 2/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 2/3, 1/3, 0, 0, 1/3, 1, 0}, 
   {2/3, 0, 0, 1, 1/3, 0, 0, 1}, {0, 2/3, 1/3, 2/3, 0, 0, 0, 1}, 
   {2/3, 0, 1, 0, 0, 0, 2/3, 1/3}, {2/3, 0, 0, 1/3, 1/3, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 5/9, 1/9, 0, 7/9, 0, 0, 0}, 
   {1/9, 1/9, 0, 0, 5/9, 0, 2/3, 0, 0}, {1/9, 0, 1/3, 2/3, 1, 0, 0, 0, 0}, 
   {4/9, 7/9, 0, 1/3, 0, 1/3, 0, 2/9, 4/9}, {0, 1/9, 0, 4/9, 5/9, 0, 1/3, 
    1/9, 1/3}, {1/9, 0, 0, 2/9, 0, 8/9, 4/9, 2/9, 0}, 
   {1/3, 0, 2/9, 2/9, 2/9, 8/9, 0, 0, 0}, {1/9, 2/9, 0, 0, 4/9, 0, 0, 8/9, 
    2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 3/4}, {1/2, 0, 0, 3/4, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 3/4, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 3/4, 0, 1/2, 0, 0, 0}, {0, 1/4, 1/2, 0, 1/2, 3/4, 3/4, 1/4, 
    0}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1/2, 1, 1, 0, 0, 0, 0, 1/2, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2}, {0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 2/3, 0}, {0, 1, 1, 0, 0, 0, 1, 1/3, 0}, 
   {1, 0, 0, 2/3, 0, 0, 0, 0, 1}, {0, 1/3, 1, 0, 0, 2/3, 1/3, 1/3, 0}, 
   {1, 0, 0, 0, 0, 2/3, 1/3, 1/3, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/3, 0, 0, 1}, 
   {0, 1/3, 1, 0, 0, 0, 0, 0, 2/3}, {2/3, 1, 0, 2/3, 1/3, 0, 1/3, 0, 0}, 
   {1/3, 0, 1, 0, 0, 0, 1/3, 1/3, 0}, {1/3, 1/3, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 0, 1/3, 2/3, 1/3, 0, 1/3}, {0, 0, 0, 0, 0, 0, 2/3, 1, 0}, 
   {2/3, 2/3, 0, 0, 1/3, 0, 0, 1/3, 0}, {0, 0, 0, 2/3, 1/3, 0, 1/3, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {1, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 3/4, 0, 3/4, 1/2, 0, 0, 0}, {0, 0, 1/4, 0, 1/4, 0, 1/2, 1/2, 0}, 
   {1/2, 1/4, 0, 1/4, 0, 0, 1/2, 0, 1/4}, {0, 1/4, 1/2, 0, 1/2, 1/2, 1/4, 0, 
    0}, {0, 0, 0, 0, 0, 1/4, 1/4, 3/4, 1/2}, {1/2, 1/2, 0, 1/2, 1/4, 0, 0, 
    1/4, 0}, {0, 0, 3/4, 1, 0, 0, 0, 0, 1/2}, {0, 0, 1/4, 3/4, 0, 1/4, 0, 
    1/4, 1/4}, {3/4, 3/4, 0, 0, 1/4, 1/2, 0, 1/4, 1/4}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 1, 1/2, 0, 1}, 
   {0, 1/2, 1, 1/2, 0, 1, 0, 0, 0}, {1, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 1/3, 0, 0, 0, 1, 1/3, 2/3, 0}, 
   {1/3, 0, 1, 2/3, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 2/3, 1, 0}, 
   {0, 0, 0, 0, 0, 2/3, 1/3, 0, 1}, {2/3, 1, 0, 1, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 2/3, 0, 0, 1}, {0, 0, 1/3, 1/3, 0, 1/3, 0, 0, 1/3}, 
   {0, 1/3, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 1, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 1, 1, 0, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 1/3, 1/3, 0, 2/3, 0, 0}, 
   {0, 0, 1, 0, 0, 1/3, 0, 2/3, 0}, {0, 0, 1/3, 1/3, 1/3, 0, 2/3, 0, 0}, 
   {1/3, 1/3, 0, 0, 2/3, 1/3, 0, 0, 0}, {1, 1/3, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 0, 2/3, 2/3, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 2/3, 0, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/7, 2/7, 0, 6/7, 0, 4/7, 0}, {2/7, 4/7, 0, 4/7, 0, 0, 6/7, 0, 0}, 
   {4/7, 0, 4/7, 0, 0, 0, 2/7, 4/7, 0}, {2/7, 0, 4/7, 0, 0, 3/7, 1, 3/7, 0}, 
   {0, 0, 0, 1/7, 1, 0, 0, 0, 1}, {2/7, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 4/7, 0, 3/7, 1, 0, 1/7, 1, 0}, {0, 0, 0, 4/7, 0, 1, 0, 0, 1}, 
   {0, 2/7, 2/7, 0, 0, 5/7, 4/7, 0, 5/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 1, 0, 1/2, 0}, {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, {1, 1, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1/2, 0, 0}, {0, 1, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1/2}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {1, 0, 0, 1/3, 1/3, 2/3, 0, 0}, {1/3, 0, 0, 1/3, 1/3, 2/3, 0, 2/3}, 
   {0, 1/3, 1, 0, 0, 0, 2/3, 0}, {1/3, 0, 1/3, 0, 0, 2/3, 0, 2/3}, 
   {1, 0, 1/3, 2/3, 0, 0, 0, 2/3}, {0, 1, 0, 1, 1, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1/2, 0, 1, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 1/2, 1, 0, 1/2, 1, 0, 1/2, 1}, 
   {1, 0, 0, 0, 0, 1/2, 1, 1, 0}, {1/2, 1/2, 0, 1, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 1, 0}, {1, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {1, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 6/7, 5/7, 0, 0, 1/7, 0}, 
   {1, 0, 3/7, 0, 1/7, 0, 4/7, 4/7, 0}, {0, 0, 4/7, 0, 0, 1/7, 0, 1/7, 0}, 
   {0, 1/7, 3/7, 1/7, 0, 0, 0, 0, 0}, {1/7, 0, 0, 0, 1/7, 2/7, 1/7, 0, 4/7}, 
   {0, 1/7, 0, 6/7, 0, 4/7, 1/7, 0, 5/7}, {0, 6/7, 4/7, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 4/7, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/3, 2/3, 0, 0, 0, 1/3, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 2/3, 1/3, 2/3, 1/3, 0}, {1/3, 0, 2/3, 1/3, 0, 0, 0, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 1/3, 1/3, 0, 2/3}, {0, 1/3, 0, 1/3, 2/3, 0, 0, 2/3, 
    2/3}, {0, 0, 0, 2/3, 0, 2/3, 2/3, 0, 1/3}, {0, 0, 1/3, 0, 1/3, 0, 0, 2/3, 
    1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 1, 0, 1, 2/3, 0, 0, 0}, {1, 0, 1/3, 0, 1/3, 0, 0, 2/3}, 
   {1, 0, 1, 0, 1/3, 0, 0, 0}, {0, 1/3, 1, 0, 1/3, 0, 0, 0}, 
   {1/3, 0, 0, 1/3, 0, 0, 2/3, 2/3}, {1, 0, 0, 1/3, 2/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 1/2, 1, 0, 1, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1}, {0, 1/2, 1/2, 0, 1, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 1, 1/2}, {0, 1/2, 0, 1, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 1, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 2/3, 0, 1/3, 1}, 
   {1/3, 1, 0, 0, 0, 0, 1, 0, 0}, {2/3, 0, 1, 0, 0, 0, 1/3, 0, 0}, 
   {0, 0, 1, 2/3, 0, 2/3, 1/3, 0, 0}, {1/3, 1/3, 0, 0, 0, 0, 0, 1/3, 1}, 
   {0, 0, 2/3, 2/3, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 1, 0, 1/2, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1/2}, {1, 0, 1/2, 1/2, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 1, 1/3, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 2/3, 0, 1}, {0, 0, 0, 1/3, 0, 1/3, 1, 0}, 
   {0, 2/3, 1/3, 0, 1, 0, 0, 1/3}, {0, 0, 0, 2/3, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 1, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1/2, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, {1, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, {0, 1/2, 0, 1, 1, 0, 1, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1/2, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 1, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/3, 0, 0, 2/3, 1}, {1/3, 0, 0, 0, 0, 1, 1, 2/3, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1/3, 1/3, 0, 0, 1/3, 0, 0, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 0, 0, 1/3, 0}, {0, 1/3, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {0, 2/3, 1, 0, 0, 0, 2/3, 0, 1/3}, {0, 0, 0, 0, 2/3, 1, 0, 1, 1/3}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/5, 0, 0, 0, 0, 4/5}, 
   {4/5, 0, 0, 4/5, 0, 0, 0, 0}, {0, 2/5, 0, 1, 0, 0, 3/5, 0}, 
   {0, 0, 1/5, 0, 1, 1, 0, 1/5}, {0, 0, 3/5, 0, 1, 0, 1, 0}, 
   {0, 2/5, 1/5, 4/5, 1/5, 4/5, 1/5, 0}, {2/5, 0, 4/5, 1, 0, 3/5, 0, 3/5}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 1}, 
   {0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 2/3, 0, 1, 0, 2/3, 0}, 
   {1, 0, 0, 1/3, 1, 0, 0, 0, 0}, {0, 1, 1/3, 1/3, 1, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 0, 1/3, 2/3, 2/3, 0}, {1/3, 0, 0, 2/3, 0, 1/3, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 2/3, 0, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1/2, 0, 1, 1/2, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1/2, 0}, {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 3/5, 0, 0, 2/5, 3/5, 3/5, 0}, {3/5, 0, 0, 0, 0, 2/5, 0, 2/5, 
    3/5}, {1, 2/5, 0, 0, 0, 0, 0, 0, 1}, {1/5, 0, 4/5, 2/5, 0, 0, 1/5, 3/5, 
    0}, {1/5, 0, 0, 2/5, 0, 0, 1, 1, 0}, {0, 3/5, 1, 0, 2/5, 0, 0, 0, 3/5}, 
   {2/5, 0, 0, 0, 2/5, 0, 2/5, 0, 0}, {2/5, 2/5, 0, 0, 2/5, 0, 0, 0, 0}, 
   {0, 4/5, 0, 2/5, 0, 0, 0, 0, 4/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 1}, {1, 1, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 1, 0}, {1/2, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 0, 0, 0, 3/5, 3/5, 0, 0}, {0, 0, 3/5, 0, 3/5, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 2/5, 1}, {4/5, 0, 1/5, 4/5, 1/5, 0, 1/5, 0, 0}, 
   {1, 0, 2/5, 0, 0, 4/5, 0, 1/5, 1/5}, {0, 4/5, 0, 0, 3/5, 1/5, 1, 3/5, 0}, 
   {0, 4/5, 0, 1, 2/5, 0, 0, 1/5, 1/5}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 0, 1/3, 2/3, 0, 0}, {1, 0, 1/3, 0, 1/3, 0, 0, 0}, 
   {0, 1/3, 0, 1, 0, 0, 2/3, 0}, {0, 1/3, 1, 0, 1, 0, 2/3, 2/3}, 
   {1, 0, 0, 1/3, 0, 0, 2/3, 2/3}, {1/3, 0, 2/3, 1, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/3, 0, 1/3, 0, 0, 1/3, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1/3, 0}, {0, 2/3, 0, 1/3, 2/3, 0, 1/3, 0, 1/3}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 0, 0, 2/3}, {2/3, 1, 0, 0, 0, 2/3, 0, 1, 0}, 
   {0, 0, 2/3, 2/3, 1, 0, 0, 0, 0}, {2/3, 0, 0, 1, 2/3, 0, 0, 1/3, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 2/3, 1/3, 0}, {0, 2/3, 0, 0, 0, 1, 2/3, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 2/3, 0, 1/3, 0, 1/3}, 
   {0, 0, 0, 2/3, 0, 1/3, 0, 2/3, 0}, {1/3, 0, 1/3, 0, 0, 0, 0, 1/3, 1/3}, 
   {0, 0, 0, 0, 1, 0, 0, 2/3, 0}, {1/3, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 2/3, 1/3, 2/3, 0, 1/3, 1, 0, 1}, {2/3, 0, 0, 0, 0, 0, 1, 0, 2/3}, 
   {0, 1/3, 1/3, 2/3, 0, 2/3, 0, 1/3, 0}, {1/3, 1/3, 0, 0, 0, 1/3, 2/3, 0, 
    1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1, 0, 1}, {1/2, 1, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 0, 0, 1/5, 0, 1, 0, 1, 0}, {0, 0, 4/5, 0, 1, 0, 1/5, 0, 1/5}, 
   {0, 0, 4/5, 0, 3/5, 0, 0, 1, 2/5}, {0, 2/5, 0, 4/5, 3/5, 0, 0, 1/5, 0}, 
   {4/5, 0, 0, 1/5, 0, 1/5, 3/5, 0, 1}, {0, 4/5, 0, 0, 0, 4/5, 4/5, 0, 2/5}, 
   {0, 0, 2/5, 4/5, 0, 4/5, 2/5, 0, 0}, {4/5, 4/5, 0, 0, 2/5, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 1/2, 1, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 1/3, 1/3, 0, 1/3, 1/3}, {0, 0, 1, 0, 0, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 0, 1, 1}, {2/3, 0, 1, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 2/3, 0, 1/3, 0, 1/3, 2/3}, {1/3, 1, 0, 1/3, 0, 0, 2/3, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 1/3, 0, 0, 0}, {2/3, 0, 0, 2/3, 2/3, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 0, 1/3, 1/3, 1/3, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 
    0}, {0, 0, 1/2, 0, 1, 1, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 1/2, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1/2, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 3/4, 1/2, 0, 1/4, 0}, 
   {1/2, 0, 1, 1, 0, 1, 1/4, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 1/4, 0, 0, 1/4, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1/4}, {0, 0, 1, 0, 1, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1/2, 0, 1/2, 0}, {0, 1, 0, 1, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/5, 0, 0, 2/5, 2/5, 0, 0}, 
   {2/5, 0, 0, 0, 0, 0, 0, 0, 2/5}, {0, 0, 1/5, 1/5, 2/5, 0, 1, 3/5, 1/5}, 
   {0, 2/5, 1, 0, 3/5, 3/5, 0, 0, 0}, {3/5, 1, 0, 3/5, 0, 0, 0, 4/5, 0}, 
   {0, 2/5, 1/5, 1, 2/5, 0, 4/5, 0, 2/5}, {0, 0, 1, 3/5, 0, 0, 0, 2/5, 2/5}, 
   {1, 3/5, 0, 0, 3/5, 3/5, 2/5, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1, 1, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 1, 0, 1/2, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1, 0, 0, 1/2, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {1/3, 0, 1, 1/3, 0, 2/3, 0, 0}, {0, 1/3, 1, 1/3, 0, 0, 0, 2/3}, 
   {1/3, 0, 2/3, 0, 1, 0, 0, 0}, {1/3, 0, 0, 0, 1/3, 2/3, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 0, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 2/3, 1/3, 1/3, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 0, 1, 0, 0, 1/3}, {1, 0, 2/3, 1/3, 0, 0, 0, 1/3}, 
   {0, 1, 0, 1/3, 0, 1, 1/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1/2, 1, 0, 1, 1, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 0, 1/3, 2/3, 0, 1/3, 0, 0}, {1/3, 1/3, 0, 1/3, 0, 0, 2/3, 2/3, 
    0}, {0, 0, 2/3, 0, 1, 0, 0, 0, 0}, {0, 1/3, 1/3, 1, 0, 2/3, 0, 0, 0}, 
   {2/3, 1, 0, 0, 1/3, 0, 1/3, 2/3, 0}, {0, 0, 1/3, 1, 0, 1, 0, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, {1, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 0, 1/3, 1, 0}, 
   {0, 0, 0, 1/3, 0, 1, 0, 0, 1/3}, {2/3, 0, 0, 1/3, 0, 1/3, 1/3, 1, 0}, 
   {0, 0, 0, 2/3, 1, 0, 0, 0, 1/3}, {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 2/3, 0, 0, 2/3, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/4, 1/4, 0, 0, 3/4, 1/2, 3/4, 0}, {1/2, 1, 0, 3/4, 0, 3/4, 0, 0, 
    1/4}, {0, 1/2, 1, 1/2, 1/2, 0, 0, 0, 0}, {1, 1/4, 0, 1/2, 3/4, 0, 1/4, 
    1/4, 0}, {1/4, 0, 0, 0, 1, 1/4, 0, 1/4, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 0, 0, 0, 1/4, 0, 1/4}, 
   {1/2, 1/4, 0, 1/4, 0, 0, 0, 0, 0}, {0, 1/4, 0, 1/4, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 1, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/5, 0, 0, 2/5}, {0, 0, 2/5, 0, 0, 0, 0, 0, 0}, 
   {3/5, 0, 1/5, 2/5, 2/5, 0, 2/5, 3/5, 0}, {0, 1, 0, 4/5, 0, 2/5, 1, 0, 
    1/5}, {3/5, 0, 1, 0, 4/5, 0, 0, 1/5, 2/5}, {0, 3/5, 0, 0, 4/5, 2/5, 2/5, 
    1/5, 0}, {1, 0, 1, 4/5, 0, 4/5, 1/5, 0, 3/5}, 
   {2/5, 1, 0, 0, 0, 0, 0, 1, 2/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {1, 1/2, 0, 1/2, 0, 1/2, 1, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 1/2, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 1, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1/2, 0, 1, 1, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 1, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 0, 1, 2/3, 0}, {0, 1/3, 1, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 1, 1/3, 0, 0, 2/3}, {1/3, 0, 0, 2/3, 0, 0, 1/3, 1/3}, 
   {1, 0, 1/3, 0, 1/3, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/3, 2/3, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 0, 2/3, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 1, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 1}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 0, 0, 0, 1, 0, 2/3, 2/3}, 
   {0, 2/3, 1/3, 1/3, 1/3, 2/3, 0, 0, 2/3}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 1/3, 0, 0, 1, 2/3, 0, 0}, 
   {2/3, 0, 1, 0, 0, 1, 0, 0, 0}, {1/3, 1, 0, 1/3, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 0, 1}, {1, 0, 1/2, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 2/3, 2/3, 0}, {1/3, 0, 0, 0, 0, 2/3, 2/3, 0, 1/3}, 
   {0, 1, 1/3, 0, 0, 0, 1, 1/3, 0}, {1, 0, 0, 0, 0, 2/3, 0, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0}}, {{2, 2, 2}, {2, 2, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1, 1, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 1/2, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 2/3, 0, 1, 1/3}, 
   {1/3, 0, 1, 2/3, 1/3, 0, 0, 0, 2/3}, {1/3, 1, 0, 1/3, 0, 1, 0, 1/3, 0}, 
   {0, 0, 0, 0, 1/3, 0, 1/3, 2/3, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 1/3}, 
   {0, 0, 1/3, 0, 0, 2/3, 2/3, 0, 0}, {0, 1/3, 1/3, 0, 1/3, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 1, 0, 0, 2/3, 0, 2/3, 0}, {0, 1/3, 0, 2/3, 2/3, 0, 1/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {1/3, 1, 2/3, 0, 2/3, 1/3, 0, 0, 0}, {2/3, 0, 1, 1, 1/3, 0, 0, 0, 0}, 
   {1/3, 1, 0, 0, 0, 1/3, 0, 0, 2/3}, {2/3, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 2/3, 1/3, 2/3, 0, 1/3, 2/3, 0, 0}, {1/3, 1, 0, 1/3, 1/3, 0, 2/3, 2/3, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1, 1, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 
    1/2}, {1/2, 0, 1, 1, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 1/2, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1/2, 1}, 
   {1/2, 0, 1, 1/2, 0, 1/2, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 1, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/3, 0, 1/3, 0, 0, 0}, 
   {0, 1/3, 1/3, 1/3, 0, 0, 0, 1/3, 0}, {1/3, 1/3, 0, 0, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 2/3, 1, 1/3, 0, 1/3, 1/3}, {1/3, 2/3, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/3, 2/3, 1/3, 0}, {0, 0, 0, 0, 1/3, 2/3, 0, 1/3, 2/3}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1/3, 0, 1, 1/3, 2/3, 0, 1/3, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 2/3, 0, 0, 1, 1, 0, 1/3, 0}, 
   {2/3, 0, 2/3, 1, 2/3, 0, 1/3, 0, 1/3}, {2/3, 0, 0, 1/3, 0, 0, 1/3, 2/3, 
    1}, {2/3, 0, 0, 0, 1/3, 1, 1/3, 0, 1/3}, {2/3, 2/3, 0, 1/3, 0, 0, 0, 1/3, 
    0}, {0, 2/3, 0, 1, 0, 0, 0, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, {0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, {1, 1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1, 1}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 2/3, 0, 0, 0, 1/3, 0, 0}, {0, 0, 2/3, 1/3, 0, 0, 1/3, 0, 0}, 
   {1/3, 0, 1/3, 2/3, 0, 1/3, 0, 0, 1/3}, {0, 1, 0, 0, 0, 2/3, 0, 1/3, 0}, 
   {1, 0, 1/3, 0, 1/3, 0, 1/3, 0, 2/3}, {1, 0, 1/3, 0, 2/3, 0, 0, 0, 2/3}, 
   {1, 0, 1/3, 0, 0, 1/3, 1/3, 2/3, 0}, {2/3, 2/3, 0, 0, 2/3, 1/3, 0, 0, 
    1/3}, {0, 1, 0, 2/3, 2/3, 0, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, {0, 0, 0, 1/2, 1, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 2/3, 0, 1/3, 1, 0, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 0, 1/3, 1, 1, 0}, {0, 0, 0, 1/3, 1, 0, 0, 2/3, 1/3}, 
   {0, 0, 2/3, 0, 0, 1/3, 2/3, 0, 1}, {0, 2/3, 2/3, 1/3, 1/3, 0, 1/3, 1/3, 
    0}, {0, 0, 0, 2/3, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1/2, 1, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1/3, 0, 1/3, 0, 1}, {0, 0, 0, 0, 1, 2/3, 1, 0}, 
   {0, 0, 0, 0, 1, 1/3, 0, 1}, {0, 0, 1/3, 1/3, 0, 0, 1, 2/3}, 
   {2/3, 0, 1, 1/3, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 1, 0, 1, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 1, 1/2, 0}, 
   {1, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {1, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 1, 0}, {0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1, 1/2, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 
    1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 
    0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1, 0, 1/2, 1/2, 0, 1/2}, {0, 1, 0, 1, 1, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 1, 1/2, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1, 1/2, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 0, 0, 2/3, 0, 1, 0}, {0, 1/3, 2/3, 0, 0, 1, 0, 1}, 
   {1/3, 0, 1, 1/3, 1/3, 0, 1/3, 0}, {1, 0, 0, 0, 2/3, 1/3, 0, 1}, 
   {0, 1/3, 2/3, 2/3, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 1, 0}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1, 0, 0}, {1/2, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1, 0, 1/2}, 
   {1/2, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/11, 6/11, 0, 0, 0, 6/11, 0, 0, 0}, {0, 0, 0, 0, 4/11, 0, 0, 0, 8/11}, 
   {2/11, 4/11, 0, 2/11, 0, 6/11, 0, 0, 0}, {0, 0, 1, 6/11, 0, 1/11, 0, 
    10/11, 0}, {2/11, 0, 1, 0, 0, 1, 6/11, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 6/11, 0, 0}, {7/11, 5/11, 0, 0, 2/11, 5/11, 0, 6/11, 
    0}, {9/11, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 7/11, 0, 10/11, 0, 
    2/11}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 1/2, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1/2, 0, 1, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 2/3, 2/3, 0, 1/3, 0}, {1/3, 0, 0, 0, 2/3, 1/3, 1/3, 0, 0}, 
   {2/3, 1, 0, 0, 0, 0, 0, 1/3, 0}, {0, 1/3, 1, 0, 0, 0, 0, 1/3, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1/3, 0}, {0, 0, 1, 0, 0, 1/3, 0, 0, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 0, 0, 1/3, 1}, {1, 2/3, 0, 0, 1, 1, 0, 1/3, 0}, 
   {0, 1/3, 2/3, 2/3, 0, 0, 1/3, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/5, 0, 0, 0, 2/5, 0}, {0, 2/5, 0, 2/5, 0, 0, 0, 0}, 
   {3/5, 0, 1/5, 1, 2/5, 0, 0, 0}, {0, 3/5, 0, 0, 1, 4/5, 0, 2/5}, 
   {1/5, 0, 1/5, 1, 0, 2/5, 4/5, 0}, {0, 1/5, 0, 0, 1/5, 1/5, 1, 3/5}, 
   {0, 1/5, 1, 3/5, 0, 2/5, 0, 4/5}, {3/5, 0, 2/5, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 3/4, 1/2, 0, 0, 1/4, 0}, {0, 0, 1/2, 0, 0, 1/4, 3/4, 0, 3/4}, 
   {0, 1/4, 0, 0, 1/2, 3/4, 1/4, 0, 0}, {1/2, 1/4, 0, 0, 0, 1, 0, 0, 0}, 
   {3/4, 0, 3/4, 1/4, 0, 0, 1/4, 0, 0}, {0, 3/4, 0, 1, 1/2, 0, 0, 0, 1/4}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1/4}, {1/4, 0, 1/4, 0, 1/4, 0, 0, 3/4, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, {1/2, 1, 0, 1, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 1, 0, 1/2}, {1/2, 1, 0, 0, 1, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 
    0}, {0, 0, 0, 0, 0, 0, 1, 1, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1/3, 0, 1, 1/3, 1, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 2/3}, {2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, {0, 0, 0, 1, 0, 1/3, 1, 0}, 
   {2/3, 0, 1/3, 0, 1, 0, 0, 1}, {0, 2/3, 0, 1/3, 0, 1/3, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 1, 0, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 0, 1, 1, 0, 0, 1/3, 0, 0}, {1, 1, 0, 0, 1/3, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 2/3, 0, 0, 0}, {0, 0, 2/3, 0, 1/3, 1/3, 0, 1/3, 2/3}, 
   {1/3, 2/3, 0, 1, 2/3, 0, 1/3, 1/3, 0}, {1/3, 0, 0, 0, 1/3, 1/3, 1/3, 0, 
    0}, {2/3, 1/3, 0, 1/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 1/3, 1/3, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 1/2, 1}, {1, 0, 0, 1, 0, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 2/3, 1/3, 1/3, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1/3, 0, 1}, {0, 0, 1/3, 1, 0, 0, 1, 0}, 
   {0, 0, 1/3, 1, 0, 1/3, 0, 1}, {1/3, 1/3, 1/3, 1/3, 0, 0, 1/3, 2/3}, 
   {2/3, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{5/9, 0, 0, 0, 7/9, 1/3, 0, 1/3, 2/9}, 
   {0, 1, 1, 7/9, 0, 8/9, 0, 1/9, 0}, {1, 0, 0, 1/9, 0, 0, 1/3, 0, 1}, 
   {0, 4/9, 4/9, 0, 4/9, 0, 0, 0, 0}, {0, 0, 4/9, 0, 2/9, 0, 0, 4/9, 2/9}, 
   {4/9, 0, 0, 2/9, 0, 4/9, 2/9, 0, 0}, {0, 5/9, 5/9, 1/9, 4/9, 0, 1/3, 0, 
    1/9}, {0, 5/9, 1/9, 4/9, 7/9, 1/9, 0, 1/3, 0}, 
   {5/9, 0, 0, 5/9, 0, 2/9, 4/9, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 1/3, 2/3, 0, 2/3, 2/3}, {0, 1, 1/3, 1, 0, 1/3, 0, 2/3, 0}, 
   {1, 0, 0, 2/3, 1, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 2/3, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {1/3, 0, 0, 1, 0, 1/3, 0, 2/3, 2/3}, {1, 0, 0, 1/3, 0, 1, 2/3, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 3/13, 3/13, 4/13, 0, 4/13, 8/13, 8/13, 0}, 
   {0, 6/13, 0, 6/13, 8/13, 0, 0, 0, 7/13}, {0, 0, 0, 0, 8/13, 0, 0, 6/13, 
    7/13}, {3/13, 0, 0, 6/13, 2/13, 0, 3/13, 7/13, 0}, 
   {0, 0, 0, 0, 5/13, 3/13, 0, 7/13, 9/13}, {0, 0, 0, 7/13, 0, 10/13, 5/13, 
    0, 2/13}, {0, 0, 0, 0, 11/13, 6/13, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 10/13, 0, 5/13, 11/13}, {3/13, 0, 6/13, 0, 2/13, 0, 1, 0, 
    6/13}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 0, 1, 2/3, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3, 2/3}, {0, 2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 1, 2/3, 0, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 1, 1, 1/3, 0, 0, 0, 0}, {0, 1/3, 0, 0, 0, 1, 0, 2/3, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0}, {0, 1/3, 1/3, 0, 2/3, 2/3, 0, 0}, 
   {1/3, 0, 0, 1/3, 1, 0, 0, 0}, {0, 1, 1/3, 0, 0, 2/3, 0, 2/3}, 
   {0, 1/3, 0, 1/3, 1/3, 2/3, 0, 2/3}, {0, 1/3, 1/3, 0, 0, 1/3, 1/3, 1}, 
   {1/3, 0, 1, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 1, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 
    1/2}, {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1, 1, 0, 0, 1/2}, 
   {1, 1/2, 0, 1/2, 0, 0, 1, 1, 0}, {0, 0, 1, 1/2, 1/2, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0}, {1, 0, 0, 1/3, 0, 0, 1/3, 1}, 
   {0, 1/3, 2/3, 1, 0, 1, 0, 0}, {1/3, 0, 2/3, 1/3, 2/3, 0, 1/3, 1/3}, 
   {0, 1, 0, 1/3, 0, 0, 1, 1/3}, {0, 1/3, 1/3, 0, 1, 1/3, 0, 0}, 
   {1/3, 0, 0, 1/3, 0, 1, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1, 1}, 
   {1, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 1, 0}, {1, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1, 0, 1/2}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1/2, 0, 0, 1/2, 0, 1, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1}, {0, 0, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 3/5, 0, 1, 0, 0, 0}, {1, 0, 3/5, 0, 3/5, 0, 0, 0, 2/5}, 
   {0, 2/5, 0, 0, 4/5, 0, 2/5, 2/5, 0}, {4/5, 0, 2/5, 2/5, 0, 0, 0, 4/5, 0}, 
   {0, 4/5, 2/5, 0, 2/5, 0, 0, 0, 2/5}, {2/5, 1/5, 0, 0, 1/5, 0, 4/5, 0, 
    2/5}, {0, 1, 0, 2/5, 3/5, 0, 0, 0, 0}, {1/5, 0, 3/5, 1/5, 0, 3/5, 2/5, 
    2/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 2/3, 0, 0, 0, 0, 1}, {1/3, 0, 0, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {0, 2/3, 2/3, 2/3, 0, 0, 2/3, 2/3, 0}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 
    2/3}, {0, 0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, {1/3, 0, 2/3, 0, 2/3, 0, 0, 0, 
    1/3}, {1/3, 0, 0, 2/3, 2/3, 0, 0, 0, 1/3}, {0, 1/3, 1/3, 0, 0, 2/3, 1/3, 
    1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 0, 1/3, 1, 2/3, 0, 0}, {1/3, 0, 0, 1, 0, 2/3, 0, 2/3, 0}, 
   {1, 2/3, 0, 1, 0, 0, 0, 0, 0}, {1/3, 0, 2/3, 0, 1/3, 1/3, 2/3, 0, 2/3}, 
   {1/3, 0, 0, 0, 1, 1, 0, 0, 2/3}, {0, 1/3, 1, 1, 2/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1/3, 0, 1, 0, 1/3, 1}, {0, 0, 0, 1, 0, 0, 1/3, 1}, 
   {0, 0, 1/3, 0, 1, 1, 2/3, 0}, {2/3, 0, 1/3, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1/2, 1/2}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/3, 2/3, 0, 1/3, 2/3, 0, 0, 1/3}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {2/3, 0, 2/3, 1/3, 0, 1, 1, 1/3, 0}, 
   {0, 2/3, 0, 0, 1/3, 0, 1, 1, 0}, {2/3, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{3/5, 0, 3/5, 1/5, 0, 0, 2/5, 0}, 
   {0, 1, 0, 0, 3/5, 0, 0, 0}, {0, 0, 4/5, 2/5, 0, 2/5, 0, 0}, 
   {4/5, 0, 0, 0, 2/5, 0, 0, 2/5}, {1/5, 2/5, 0, 2/5, 1/5, 0, 0, 2/5}, 
   {0, 3/5, 1/5, 1/5, 0, 0, 2/5, 2/5}, {1/5, 0, 0, 2/5, 1, 2/5, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{4/5, 0, 0, 2/5, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/5, 4/5, 2/5, 0, 2/5}, 
   {0, 0, 0, 0, 2/5, 1/5, 3/5, 0, 3/5}, {2/5, 4/5, 0, 0, 0, 1/5, 1/5, 0, 
    3/5}, {0, 4/5, 0, 3/5, 1/5, 0, 0, 1/5, 0}, {0, 4/5, 4/5, 1, 1/5, 0, 1/5, 
    0, 1/5}, {0, 0, 0, 0, 4/5, 1, 2/5, 1, 0}, {0, 0, 4/5, 0, 0, 1/5, 0, 1, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, {{{0, 3/7, 3/7, 0, 3/7, 2/7, 0, 4/7, 0}, 
   {0, 0, 5/7, 0, 3/7, 0, 0, 2/7, 3/7}, {1/7, 0, 0, 3/7, 0, 3/7, 6/7, 4/7, 
    0}, {1/7, 0, 0, 2/7, 1, 0, 2/7, 0, 0}, {0, 0, 1/7, 3/7, 0, 3/7, 0, 2/7, 
    1}, {3/7, 0, 0, 0, 1, 0, 4/7, 0, 0}, {4/7, 5/7, 0, 0, 0, 0, 0, 0, 4/7}, 
   {0, 1/7, 0, 4/7, 0, 4/7, 4/7, 0, 0}, {0, 0, 0, 4/7, 0, 4/7, 4/7, 1/7, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 2/3, 2/3, 0, 1/3, 0}, {0, 1/3, 0, 2/3, 0, 1/3, 1/3, 0, 
    0}, {1/3, 2/3, 0, 1/3, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/3, 0, 1/3, 2/3}, 
   {2/3, 0, 1, 1, 1/3, 0, 0, 0, 0}, {0, 1/3, 1/3, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 1/3, 2/3, 1/3, 0}, {2/3, 0, 1, 0, 0, 1/3, 0, 1/3, 1/3}, 
   {0, 1/3, 0, 0, 1/3, 0, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 0, 1, 1/2}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 3/4, 1/4, 0, 1/4, 3/4, 0, 1/4, 0}, {0, 1, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/4}, {1/4, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/4, 1/4, 0, 0, 1/4, 3/4, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1/4, 0, 0, 0, 1/2, 1, 0, 1/2, 3/4}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1/2, 0, 1, 0, 1, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 1/2}, {0, 1/2, 0, 1, 0, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 3/5, 0, 0, 2/5, 1/5, 0, 1}, 
   {1/5, 3/5, 0, 2/5, 2/5, 0, 2/5, 1, 0}, {2/5, 0, 0, 0, 0, 2/5, 0, 2/5, 0}, 
   {0, 0, 0, 2/5, 0, 0, 2/5, 0, 2/5}, {2/5, 0, 2/5, 0, 0, 0, 2/5, 0, 0}, 
   {0, 0, 3/5, 0, 0, 2/5, 4/5, 1, 0}, {0, 0, 1/5, 4/5, 4/5, 0, 0, 3/5, 2/5}, 
   {3/5, 1, 0, 0, 2/5, 0, 1/5, 0, 3/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}, {0, 1/2, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 4/5, 0, 0, 1/5, 1, 0, 3/5}, 
   {2/5, 4/5, 0, 1, 1/5, 0, 0, 3/5, 0}, {1/5, 1/5, 1/5, 3/5, 3/5, 0, 1/5, 0, 
    3/5}, {0, 0, 4/5, 1/5, 1/5, 0, 3/5, 0, 1/5}, {0, 0, 0, 0, 0, 1, 0, 1/5, 
    2/5}, {0, 2/5, 0, 0, 0, 3/5, 2/5, 1/5, 0}, {2/5, 0, 4/5, 0, 0, 0, 0, 4/5, 
    0}, {0, 0, 0, 0, 4/5, 0, 0, 4/5, 2/5}, {4/5, 4/5, 0, 0, 0, 0, 4/5, 0, 
    4/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, {0, 0, 1, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 1, 1, 1/2, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 1, 2/3, 1/3, 0, 1/3}, 
   {0, 0, 1/3, 2/3, 0, 2/3, 0, 1, 0}, {1/3, 2/3, 0, 0, 0, 0, 1/3, 1, 0}, 
   {1/3, 1/3, 0, 0, 0, 1/3, 0, 0, 1/3}, {1/3, 0, 0, 0, 0, 0, 1/3, 0, 1/3}, 
   {0, 0, 0, 1/3, 1/3, 0, 1/3, 0, 0}, {0, 0, 1/3, 1/3, 2/3, 0, 0, 1/3, 2/3}, 
   {1/3, 0, 2/3, 0, 2/3, 1/3, 0, 2/3, 0}, {0, 0, 0, 1, 0, 1/3, 2/3, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 1/2, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 1, 1, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 2/3, 2/3, 1/3, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 2/3, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {1/3, 0, 1, 0, 1/3, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1, 1/2, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1}, {1/2, 1, 0, 0, 1, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1, 0, 1, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1/3, 2/3, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {2/3, 1/3, 0, 0, 0, 0, 0, 0, 1/3}, {0, 2/3, 2/3, 1/3, 0, 1, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 0, 0, 1, 0, 2/3}, {1/3, 0, 2/3, 1/3, 1/3, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 1/3, 1, 0}, {0, 2/3, 1, 1/3, 1/3, 0, 0, 0, 2/3}, 
   {1/3, 0, 0, 0, 1/3, 0, 0, 1, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, {2/3, 2/3, 0, 1/3, 0, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 0, 1/3, 1, 0, 2/3, 1}, {2/3, 0, 0, 1/3, 2/3, 0, 1, 1, 0}, 
   {0, 0, 0, 1/3, 0, 2/3, 2/3, 0, 1/3}, {0, 2/3, 0, 0, 1/3, 1/3, 1, 1/3, 0}, 
   {0, 0, 2/3, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 2/3, 1, 0, 1/3, 0}, {0, 0, 0, 2/3, 0, 1/3, 2/3, 0, 2/3}, 
   {1, 1, 0, 1/3, 2/3, 0, 1/3, 1/3, 0}, {0, 1/3, 0, 1/3, 0, 0, 0, 2/3, 1/3}, 
   {0, 0, 1/3, 2/3, 0, 0, 0, 1, 0}, {1/3, 2/3, 0, 0, 2/3, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 1/3, 0, 0, 0, 1/3, 0, 1/3}, {1/3, 1/3, 0, 0, 0, 2/3, 1/3, 1/3, 
    0}, {0, 0, 2/3, 2/3, 1/3, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 2/3, 0, 0, 1/3, 1/3}, {1, 0, 1/3, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 2/3, 2/3, 0, 2/3, 0, 0}, 
   {1, 0, 1/3, 0, 0, 0, 0, 1/3, 1}, {0, 1/3, 0, 0, 0, 2/3, 1, 0, 2/3}, 
   {0, 1, 0, 2/3, 0, 2/3, 1/3, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 1/2, 0, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 1, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1, 0, 0, 0, 1, 0, 0, 2/3}, {0, 0, 1/3, 1, 1/3, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, {0, 0, 1/3, 0, 0, 1/3, 2/3, 0, 2/3}, 
   {1/3, 1/3, 0, 1/3, 1/3, 0, 0, 0, 2/3}, {0, 0, 1/3, 0, 2/3, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 1, 1, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1/2, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 1/4, 0, 1/2, 1/4, 0, 0, 1}, 
   {1/2, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/4, 0, 1}, 
   {0, 1, 0, 1/4, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/4, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/4, 0, 0}, {1/2, 0, 1/2, 3/4, 0, 1/2, 0, 0, 0}, 
   {1/4, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 1/2, 0, 0, 0, 0, 3/4, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1}, {1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 2/3, 1/3, 1, 0, 0, 0, 1}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 1, 0, 0, 1}, 
   {2/3, 0, 0, 1/3, 1, 0, 1/3, 1, 0}, {0, 2/3, 0, 0, 2/3, 1, 0, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {1, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 1/4, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1/4}, {1/2, 1/4, 3/4, 1/4, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/4, 0, 3/4, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 3/4, 0, 0, 0, 3/4}, 
   {1/4, 0, 0, 1, 1/4, 0, 1, 0, 1/4}, {0, 0, 1/2, 0, 1/4, 1/2, 0, 1, 1/4}, 
   {1/4, 1/2, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1/2, 1, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1/2, 0, 1/2, 0, 1, 1/2, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/2, 0, 1, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1/2, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 1/3, 1/3, 0, 0, 1, 2/3}, {0, 0, 2/3, 0, 1, 1/3, 0, 1/3}, 
   {0, 0, 1, 1/3, 0, 0, 1, 0}, {0, 0, 1/3, 1, 0, 1/3, 0, 1}, 
   {2/3, 0, 1/3, 1/3, 0, 1/3, 0, 1}, {2/3, 0, 0, 0, 1, 0, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, {1, 1/2, 0, 1/2, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 1, 1/3, 1, 0}, {0, 0, 1/3, 1, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1/3, 0, 1/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 0, 0, 1/3, 0, 1}, {1/3, 0, 0, 0, 1, 0, 1/3, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 1, 0, 0, 1/3}, {1/3, 0, 0, 0, 0, 1, 1/3, 0, 1/3}, 
   {0, 1/3, 0, 1/3, 0, 0, 2/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1, 1/2}, {1, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1/2}, {1/2, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 3/4, 1, 0, 0, 1/4, 0, 0, 1}, 
   {0, 1, 0, 1, 1/4, 0, 0, 0, 0}, {1, 0, 1, 0, 3/4, 1, 0, 0, 0}, 
   {1, 0, 3/4, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/4, 3/4, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 3/4, 1, 1, 0, 0}, {0, 0, 1/4, 1, 1/4, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/4, 0, 1, 0}, {1, 1, 0, 0, 1/2, 1/4, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {1/3, 1/3, 0, 0, 0, 0, 0, 0, 1/3}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 2/3, 0, 0}, 
   {1/3, 1/3, 0, 2/3, 0, 0, 1/3, 1/3, 0}, {0, 0, 1/3, 2/3, 0, 0, 0, 2/3, 
    1/3}, {2/3, 0, 1, 0, 0, 0, 0, 2/3, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 1/2, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, {0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 2/3, 0, 1, 0, 1/3}, 
   {1/3, 0, 0, 0, 2/3, 0, 1, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 1/3}, 
   {0, 0, 2/3, 0, 0, 0, 0, 1}, {1/3, 0, 0, 2/3, 0, 1/3, 2/3, 0}, 
   {1/3, 0, 0, 0, 2/3, 1, 0, 0}, {0, 1/3, 2/3, 2/3, 0, 0, 1, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1/4, 1}, 
   {3/4, 1/4, 0, 0, 1/4, 0, 0, 0, 1/4}, {1, 0, 0, 0, 0, 1/2, 1/4, 1/4, 0}, 
   {0, 1, 3/4, 0, 0, 0, 0, 0, 0}, {0, 0, 1/4, 1/2, 1/2, 0, 0, 1/4, 1/2}, 
   {0, 0, 0, 0, 3/4, 0, 0, 0, 1}, {0, 0, 1/4, 3/4, 0, 3/4, 1/4, 0, 0}, 
   {0, 1/4, 0, 1, 0, 1, 0, 0, 1/4}, {0, 0, 1/4, 0, 0, 0, 1, 3/4, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 1/2}, 
   {0, 1, 0, 0, 1, 1, 0, 1/2, 0}, {1/2, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 1, 0, 1/2, 0, 1, 0}, {1/2, 1/2, 0, 0, 1/2, 1, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 0, 1/3, 2/3, 0}, 
   {0, 0, 1/3, 2/3, 1, 0, 0, 0, 0}, {0, 1/3, 0, 0, 0, 1/3, 2/3, 0, 2/3}, 
   {1/3, 0, 0, 1/3, 0, 2/3, 0, 0, 1/3}, {1, 0, 1, 0, 0, 0, 0, 1/3, 0}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 1/3, 0, 2/3}, {0, 1, 0, 1/3, 2/3, 0, 0, 2/3, 0}, 
   {1/3, 2/3, 2/3, 0, 0, 1/3, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 4/5, 0, 0, 0, 4/5, 2/5, 0, 2/5}, {0, 0, 0, 4/5, 0, 4/5, 2/5, 0, 0}, 
   {2/5, 0, 0, 2/5, 2/5, 0, 0, 4/5, 4/5}, {0, 1/5, 2/5, 0, 4/5, 1/5, 2/5, 
    2/5, 0}, {2/5, 3/5, 0, 0, 0, 1, 0, 2/5, 4/5}, 
   {1/5, 0, 1/5, 1/5, 1, 0, 4/5, 0, 0}, {0, 1/5, 0, 3/5, 3/5, 0, 0, 0, 0}, 
   {0, 1/5, 0, 1/5, 1/5, 0, 2/5, 2/5, 0}, {1/5, 0, 3/5, 0, 0, 1/5, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/5, 1, 0, 0, 2/5, 0}, {1/5, 1, 0, 0, 0, 1/5, 0, 0, 4/5}, 
   {0, 0, 1, 2/5, 0, 1, 0, 0, 0}, {3/5, 1/5, 0, 1/5, 1/5, 0, 4/5, 4/5, 0}, 
   {0, 2/5, 3/5, 0, 2/5, 1/5, 2/5, 0, 2/5}, {0, 0, 0, 2/5, 0, 4/5, 4/5, 4/5, 
    0}, {2/5, 4/5, 0, 0, 2/5, 0, 0, 2/5, 0}, {4/5, 0, 0, 2/5, 0, 0, 0, 0, 
    4/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1}, {1/2, 1, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1/2, 1, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 3/5, 0, 0, 0, 2/5}, 
   {1, 0, 0, 1, 0, 1/5, 0, 0, 0}, {0, 3/5, 3/5, 1, 0, 1/5, 0, 2/5, 0}, 
   {1, 0, 0, 0, 3/5, 4/5, 0, 0, 0}, {3/5, 4/5, 0, 0, 3/5, 0, 2/5, 0, 0}, 
   {0, 2/5, 2/5, 2/5, 0, 2/5, 2/5, 0, 0}, {2/5, 0, 4/5, 0, 2/5, 0, 2/5, 0, 
    0}, {0, 0, 0, 0, 2/5, 4/5, 0, 2/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 1/3, 2/3, 0, 0, 1/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 1/3, 0, 0, 1, 0, 0, 2/3, 0}, {0, 1/3, 0, 0, 0, 2/3, 0, 0, 1/3}, 
   {1/3, 0, 1/3, 2/3, 1/3, 0, 0, 2/3, 0}, {1/3, 1/3, 0, 1/3, 0, 1/3, 0, 0, 
    0}, {2/3, 0, 2/3, 0, 0, 1, 2/3, 2/3, 0}, {0, 1/3, 0, 1/3, 1/3, 0, 2/3, 0, 
    2/3}, {0, 1/3, 0, 2/3, 0, 2/3, 1/3, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 0, 1, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 0, 1, 0, 2/3, 1/3}, {1/3, 2/3, 1/3, 2/3, 0, 1/3, 0, 0, 
    0}, {2/3, 1, 0, 1, 1/3, 0, 0, 0, 1/3}, {0, 1/3, 0, 0, 0, 1/3, 0, 2/3, 
    1/3}, {1/3, 0, 1, 2/3, 1/3, 0, 0, 0, 0}, {0, 1/3, 0, 0, 2/3, 1, 0, 0, 
    1/3}, {0, 0, 0, 0, 0, 0, 2/3, 0, 1/3}, {0, 0, 2/3, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1/3, 1, 0, 0, 2/3}, {1, 0, 1/3, 0, 0, 0, 2/3, 0}, 
   {0, 1/3, 1, 2/3, 0, 0, 0, 0}, {1/3, 0, 0, 1/3, 1/3, 2/3, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{3/5, 1/5, 0, 0, 2/5, 3/5, 0, 0, 3/5}, 
   {0, 4/5, 3/5, 0, 1, 0, 0, 0, 0}, {2/5, 0, 2/5, 4/5, 0, 4/5, 0, 3/5, 0}, 
   {0, 0, 0, 1, 0, 0, 3/5, 0, 1/5}, {0, 0, 0, 1, 3/5, 0, 0, 0, 1/5}, 
   {3/5, 0, 0, 0, 1/5, 1/5, 1, 2/5, 0}, {0, 2/5, 3/5, 0, 0, 1, 0, 0, 2/5}, 
   {4/5, 0, 1/5, 1/5, 4/5, 0, 1/5, 1/5, 0}, {0, 2/5, 0, 0, 0, 1, 0, 3/5, 
    2/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/6, 5/6, 0, 0, 0, 3/4, 0, 0, 1/12}, {0, 5/6, 1/12, 0, 0, 1/2, 1/6, 0, 
    0}, {1/4, 0, 0, 1/12, 1/12, 0, 3/4, 3/4, 0}, {2/3, 0, 3/4, 1/6, 0, 1/4, 
    0, 0, 1/4}, {1/12, 1/4, 0, 3/4, 7/12, 0, 0, 1/6, 1/3}, 
   {0, 1/4, 0, 1/2, 11/12, 0, 1/3, 1/4, 0}, {1/4, 0, 1/4, 0, 1/6, 0, 0, 0, 
    3/4}, {1/12, 2/3, 0, 5/12, 0, 1, 5/12, 1/4, 0}, 
   {0, 0, 1/4, 0, 1/6, 1/4, 0, 1/4, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 2/3, 0, 1, 1/3}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 2/3, 1/3, 0, 0, 0, 1/3, 1, 0}, {1, 0, 2/3, 0, 1, 0, 0, 0, 0}, 
   {1/3, 0, 0, 2/3, 1, 0, 0, 0, 2/3}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1/3, 0, 0, 1, 0, 0, 1/3}, {0, 0, 0, 1/3, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 2/3, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 1, 2/3, 0, 1/3, 1/3}, {0, 0, 0, 1/3, 0, 1, 1, 0, 0}, 
   {0, 2/3, 0, 0, 1, 0, 0, 1/3, 1}, {0, 0, 0, 1/3, 0, 1, 0, 1/3, 1}, 
   {2/3, 0, 2/3, 0, 1, 0, 1/3, 0, 0}, {2/3, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 1/3, 1, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 1/3, 0, 1/3, 0, 0}, 
   {0, 0, 1/3, 0, 1, 0, 1, 1/3}, {0, 0, 2/3, 1, 0, 1, 0, 0}, 
   {0, 1/3, 1, 1/3, 0, 1/3, 2/3, 0}, {1/3, 0, 1/3, 1, 0, 0, 1, 1/3}, 
   {1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 1/2, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, {1/2, 1, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 1, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/5, 0, 0, 3/5, 1, 0, 0, 2/5}, 
   {0, 2/5, 1/5, 2/5, 0, 1/5, 4/5, 2/5, 0}, {1/5, 0, 0, 3/5, 1/5, 0, 4/5, 
    3/5, 0}, {0, 1/5, 2/5, 1/5, 1/5, 4/5, 2/5, 0, 0}, 
   {0, 1/5, 0, 1, 1/5, 0, 0, 0, 4/5}, {1/5, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1/5, 0, 1/5, 3/5, 0, 0, 0, 1/5, 4/5}, {0, 0, 1/5, 2/5, 4/5, 0, 0, 2/5, 
    0}, {2/5, 0, 0, 0, 1/5, 1/5, 0, 1, 3/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1, 1, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 1, 0, 1/3, 1}, {0, 0, 0, 1/3, 1, 0, 1, 0, 0}, 
   {2/3, 0, 0, 1/3, 1, 0, 1/3, 0, 0}, {2/3, 0, 0, 0, 0, 1, 1/3, 0, 0}, 
   {0, 0, 2/3, 1, 1, 0, 0, 1/3, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {2/3, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1/3, 0, 0, 0, 0, 2/3, 0, 1, 1/3}, 
   {1, 2/3, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 2/3, 0, 0, 1, 0, 0}, 
   {1/3, 0, 0, 0, 2/3, 2/3, 1/3, 0, 2/3}, {0, 1/3, 1, 0, 2/3, 0, 0, 1, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 1, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 1, 1, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1, 0, 1, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 3/7, 4/7, 0, 0, 2/7, 0}, {0, 2/7, 0, 5/7, 4/7, 0, 0, 0, 0}, 
   {4/7, 2/7, 0, 1/7, 0, 0, 0, 0, 4/7}, {0, 0, 4/7, 3/7, 3/7, 4/7, 0, 1/7, 
    0}, {4/7, 0, 4/7, 3/7, 3/7, 0, 0, 5/7, 0}, {0, 4/7, 0, 0, 0, 5/7, 1, 0, 
    3/7}, {2/7, 0, 6/7, 0, 1/7, 6/7, 1/7, 0, 1/7}, 
   {0, 4/7, 0, 1/7, 0, 3/7, 0, 1, 0}, {2/7, 0, 6/7, 0, 1/7, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 2/3, 1/3, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 0, 1, 2/3, 1, 0, 1}, {0, 0, 1/3, 0, 1/3, 1, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 0, 0, 1/3, 0}, {0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3}, {2/3, 0, 2/3, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 1, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1/2, 1, 0}, 
   {0, 1, 1, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 1, 0, 0, 0, 3/5, 0, 0}, 
   {1/5, 1/5, 0, 4/5, 0, 0, 0, 1/5, 1/5}, {0, 2/5, 3/5, 2/5, 0, 0, 1/5, 0, 
    0}, {4/5, 2/5, 0, 0, 0, 4/5, 0, 0, 0}, {0, 0, 4/5, 4/5, 4/5, 0, 0, 0, 0}, 
   {4/5, 0, 0, 0, 2/5, 4/5, 0, 0, 2/5}, {0, 2/5, 1, 0, 0, 4/5, 0, 1/5, 1/5}, 
   {0, 0, 3/5, 0, 2/5, 4/5, 0, 3/5, 1/5}, {1, 3/5, 0, 0, 4/5, 0, 1/5, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1/2, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1/3, 1, 0, 1/3, 0, 1/3, 2/3, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 1, 1/3, 0, 1, 0, 0, 2/3}, {1/3, 1, 2/3, 0, 1/3, 0, 0, 0, 0}, 
   {1/3, 1/3, 0, 0, 1, 0, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1, 0, 1, 0}, {1, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1}, {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1/2, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/4, 0, 0, 1/4, 1/2, 3/4, 0}, 
   {3/4, 1/4, 3/4, 1/4, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/4, 3/4, 0, 1/4, 0, 
    1/2}, {0, 1/4, 0, 1/4, 3/4, 0, 0, 1/2, 0}, {1/4, 1/2, 0, 0, 0, 1/4, 0, 0, 
    3/4}, {1/4, 0, 0, 0, 1/2, 1/4, 0, 1/2, 1/2}, 
   {1/4, 0, 0, 1/2, 0, 1/2, 1/4, 1/4, 0}, {0, 0, 0, 1/2, 1/4, 3/4, 0, 1/4, 
    1/4}, {0, 1/4, 3/4, 0, 0, 0, 1/4, 0, 3/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{3/4, 1/2, 0, 0, 0, 0, 1/4, 0, 0}, 
   {0, 0, 0, 1/4, 0, 0, 0, 0, 1/2}, {0, 1/4, 1/2, 0, 1/4, 1/2, 0, 0, 1/4}, 
   {0, 1/4, 3/4, 0, 1/2, 0, 1/4, 1/4, 0}, {0, 0, 0, 1/4, 0, 1, 0, 1/4, 1}, 
   {1/2, 1/4, 1/4, 0, 1/2, 0, 1/4, 1/4, 0}, {3/4, 1/2, 0, 1/2, 1, 0, 0, 0, 
    1/4}, {0, 0, 0, 1/4, 0, 1/2, 1, 3/4, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1/2, 0, 1}, {0, 0, 1, 0, 1, 1, 1, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/7, 5/7, 0, 1, 0, 3/7, 0, 0, 0}, {0, 0, 3/7, 0, 1/7, 0, 2/7, 4/7, 0}, 
   {0, 0, 4/7, 2/7, 2/7, 0, 2/7, 0, 4/7}, {4/7, 6/7, 0, 0, 0, 0, 4/7, 4/7, 
    0}, {2/7, 0, 0, 0, 0, 4/7, 4/7, 0, 6/7}, {2/7, 0, 1, 1/7, 0, 3/7, 0, 2/7, 
    0}, {3/7, 3/7, 0, 0, 1, 0, 0, 0, 4/7}, {0, 0, 3/7, 3/7, 4/7, 3/7, 0, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {1, 0, 1, 0, 2/3, 0, 0, 0, 1}, {1/3, 0, 1/3, 0, 2/3, 2/3, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1/3, 0, 1, 0, 2/3, 0, 1/3, 1, 0}, 
   {0, 1/3, 0, 2/3, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1/2, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1/2, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 4/5, 0, 1/5, 1, 0, 3/5, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 2/5, 3/5, 0, 0, 1, 0, 1/5}, 
   {0, 2/5, 2/5, 3/5, 4/5, 0, 0, 3/5, 0}, {4/5, 0, 0, 3/5, 0, 0, 0, 3/5, 
    2/5}, {0, 2/5, 0, 0, 1/5, 3/5, 3/5, 0, 1}, {0, 0, 0, 2/5, 2/5, 0, 0, 2/5, 
    4/5}, {0, 2/5, 0, 2/5, 0, 4/5, 0, 4/5, 0}, {2/5, 0, 0, 0, 2/5, 2/5, 2/5, 
    0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, {0, 1/2, 0, 1/2, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1/2, 0, 1/2, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 0, 1}, {1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {0, 0, 0, 1/2, 1/2, 1, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/3, 1, 1, 0, 1/3}, 
   {0, 2/3, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 2/3, 0, 1/3, 1/3, 0, 1, 0}, 
   {0, 0, 0, 0, 1/3, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1/3}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, {2/3, 0, 2/3, 2/3, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1, 0}, {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 0, 2/5, 0, 0, 0, 4/5, 2/5}, {2/5, 0, 0, 0, 4/5, 0, 0, 0, 0}, 
   {3/5, 0, 1, 0, 1/5, 1, 0, 0, 0}, {0, 3/5, 0, 1, 0, 0, 4/5, 0, 2/5}, 
   {2/5, 1, 0, 1, 4/5, 0, 0, 0, 0}, {0, 1, 0, 0, 1/5, 1, 0, 0, 0}, 
   {1/5, 0, 1, 1, 0, 0, 2/5, 2/5, 0}, {0, 1, 2/5, 0, 1/5, 3/5, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 1, 1/3, 0, 0, 1/3, 1}, 
   {0, 2/3, 2/3, 0, 0, 1/3, 1/3, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 1, 1/3, 0, 0}, 
   {0, 0, 0, 2/3, 0, 1/3, 2/3, 1/3, 1/3}, {2/3, 2/3, 0, 0, 2/3, 1, 0, 1/3, 
    1/3}, {0, 0, 2/3, 1, 1/3, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {1, 1, 0, 1/2, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 1/2, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2, 1}, {1, 1/2, 0, 0, 1/2, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/4, 1, 1/4, 0, 0, 1/2, 3/4, 0, 1/4}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, {1/2, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {0, 3/4, 0, 1/2, 1/4, 0, 0, 3/4, 0}, {0, 1/4, 0, 0, 1/4, 0, 0, 3/4, 1/2}, 
   {0, 0, 1, 0, 0, 1/4, 1/4, 0, 3/4}, {1/2, 1/4, 0, 0, 1/4, 0, 1/2, 1/4, 0}, 
   {1, 0, 0, 0, 0, 1/4, 1/4, 0, 1/4}, {0, 1/4, 0, 0, 1/4, 1/2, 0, 3/4, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 1, 1, 0, 0}, 
   {1/2, 0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 5/9, 1, 0, 1, 1, 2/3, 0, 0}, {1, 2/9, 0, 1, 0, 2/9, 0, 0, 0}, 
   {5/9, 0, 0, 5/9, 0, 0, 2/9, 0, 4/9}, {0, 4/9, 0, 0, 2/3, 0, 2/3, 4/9, 0}, 
   {2/9, 2/9, 2/9, 0, 2/9, 4/9, 0, 2/9, 2/9}, {0, 2/3, 2/3, 4/9, 0, 0, 0, 0, 
    0}, {1, 0, 0, 0, 1/3, 7/9, 2/9, 0, 0}, {1/9, 0, 0, 0, 5/9, 1/9, 0, 4/9, 
    8/9}, {0, 1/9, 7/9, 1, 0, 0, 2/9, 4/9, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1, 1}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 1/2, 0, 1, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 
    1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 1, 1, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/3, 0, 1/3, 0, 1, 0, 0, 0}, 
   {1, 0, 1/3, 0, 1/3, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {1/3, 0, 1/3, 1/3, 2/3, 1/3, 0, 0, 2/3}, {0, 1, 0, 2/3, 1, 0, 0, 2/3, 0}, 
   {1, 0, 1, 1/3, 0, 1/3, 2/3, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/4, 0, 1, 0, 1, 0, 0, 0, 0}, {1/4, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {3/4, 1, 0, 0, 0, 0, 0, 1/2, 0}, {1/4, 3/4, 0, 1/4, 1/4, 0, 0, 1/4, 1/2}, 
   {0, 0, 1/2, 1, 0, 3/4, 1/2, 0, 0}, {1/4, 0, 1, 0, 0, 1/4, 0, 1/2, 0}, 
   {0, 1/4, 0, 0, 1/2, 0, 1/2, 1/4, 0}, {1/4, 0, 0, 0, 1/2, 1/4, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/3, 0, 0, 1/3, 0, 2/3, 1/3, 1/3, 0}, 
   {0, 0, 2/3, 0, 1/3, 0, 0, 0, 0}, {0, 1, 1/3, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 2/3, 0, 1/3, 1, 0, 1/3, 1/3, 0}, {0, 0, 0, 1, 0, 1, 0, 2/3, 1}, 
   {1, 0, 1/3, 0, 0, 1/3, 2/3, 0, 0}, {0, 0, 0, 1/3, 0, 1/3, 2/3, 2/3, 0}, 
   {1, 0, 0, 0, 2/3, 0, 0, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 1, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 1}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 2/3, 0, 0}, 
   {0, 1/3, 1/3, 0, 1/3, 0, 0, 2/3}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {1/3, 0, 1, 0, 1, 0, 0, 0}, {1/3, 0, 1/3, 0, 1, 0, 0, 2/3}, 
   {0, 1, 0, 1/3, 0, 2/3, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 1/3, 0, 2/3, 2/3}, {0, 1/3, 1, 2/3, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 2/3, 0, 0, 0}, {1, 0, 1/3, 0, 0, 0, 0, 2/3}, 
   {0, 1/3, 0, 1/3, 1/3, 2/3, 0, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, {2/3, 0, 0, 0, 0, 2/3, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1, 0, 1/2, 1, 1/2, 1/2, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 2, 2}, {2, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {1/3, 0, 1, 0, 1, 0, 0, 0, 0}, {1/3, 2/3, 1/3, 0, 1/3, 0, 0, 0, 2/3}, 
   {2/3, 1, 0, 1/3, 0, 1/3, 2/3, 0, 2/3}, {2/3, 1, 0, 0, 1/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 1/3, 0, 1, 0, 0, 0}, {0, 1/3, 0, 0, 1/3, 2/3, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {1/3, 0, 1, 1/3, 1/3, 0, 0, 0, 2/3}, {0, 1, 0, 1/3, 1/3, 0, 2/3, 0, 2/3}, 
   {0, 1, 0, 1, 1/3, 0, 0, 0, 2/3}, {1, 0, 1, 0, 0, 1, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 2/3, 0, 0, 0, 1/3, 0, 2/3, 0}, {0, 0, 0, 1/3, 2/3, 0, 1/3, 0, 0}, 
   {0, 1/3, 1/3, 0, 0, 0, 1/3, 2/3, 0}, {1/3, 0, 0, 2/3, 2/3, 0, 0, 1, 0}, 
   {1/3, 0, 0, 1/3, 0, 1, 2/3, 0, 0}, {0, 1/3, 1/3, 0, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 0, 1/3, 1/3, 0, 2/3, 0, 1}, {0, 0, 2/3, 1/3, 0, 2/3, 0, 1/3, 
    1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1, 0, 1, 1/2}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 
    0}, {1, 0, 0, 0, 1, 1/2, 0, 1, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 1, 0, 1/2}, {0, 1/2, 1, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 1, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1, 1, 0, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {2/3, 0, 1, 0, 0, 0, 0, 0, 1/3}, {1/3, 0, 0, 2/3, 1, 0, 1/3, 0, 0}, 
   {0, 1/3, 1/3, 0, 0, 1/3, 1/3, 1/3, 0}, {1/3, 0, 0, 0, 2/3, 1, 0, 1/3, 
    1/3}, {1/3, 1, 0, 1/3, 0, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 1, 1/3, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 2/3, 1, 1/3, 0, 0, 1/3, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/6, 1/2, 0, 0, 0, 5/6, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 2/3, 0, 1/6, 0}, {2/3, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 5/6, 0}, {1/3, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 5/6, 5/6, 0, 1/3, 0, 1/2}, {0, 1, 0, 1/2, 1, 0, 0, 1/6, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/6, 1/2}, {0, 0, 1/6, 0, 0, 1/2, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, {1/2, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 
    1/2}, {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 3/5, 0, 0, 1/5, 0, 0, 0}, 
   {1/5, 0, 1/5, 3/5, 0, 0, 4/5, 0}, {0, 0, 0, 2/5, 2/5, 2/5, 0, 0}, 
   {2/5, 0, 0, 0, 4/5, 0, 2/5, 0}, {0, 0, 0, 2/5, 0, 4/5, 0, 2/5}, 
   {3/5, 0, 2/5, 0, 1/5, 2/5, 0, 2/5}, {1/5, 0, 4/5, 2/5, 3/5, 0, 0, 0}, 
   {0, 1/5, 3/5, 3/5, 0, 0, 4/5, 2/5}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 0, 1/2, 1, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 1, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1/2, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/3, 1/3, 1/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/3, 2/3}, {0, 0, 1/3, 1/3, 0, 0, 0, 0, 2/3}, 
   {1, 1/3, 0, 0, 2/3, 0, 1, 0, 0}, {2/3, 0, 2/3, 1/3, 0, 0, 0, 1, 1/3}, 
   {0, 0, 0, 0, 1, 1/3, 1, 0, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 1, 0, 0}, 
   {0, 2/3, 0, 0, 1/3, 1/3, 0, 2/3, 1/3}, {0, 0, 2/3, 0, 0, 0, 1, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1, 0, 0}, {0, 0, 1, 0, 0, 1/2, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 0, 0, 0, 0, 1/3, 1/3}, 
   {1/3, 1/3, 0, 1, 0, 0, 1/3, 0, 0}, {0, 0, 1/3, 2/3, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 2/3, 1/3, 0, 2/3, 2/3, 0, 1/3}, {1, 0, 2/3, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 1, 1/3, 2/3, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 0, 1/3, 1, 0, 1/3, 0}, {1/3, 2/3, 0, 0, 0, 2/3, 0, 1/3, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 0, 1, 1, 0}, {2/3, 0, 1/3, 0, 1/3, 0, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 0, 0, 1}, {0, 0, 0, 1/3, 2/3, 0, 2/3, 1/3}, 
   {2/3, 0, 1/3, 0, 1/3, 1/3, 1, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 1, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 1, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1/2, 1}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1, 0, 1/2}, {1, 1, 0, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 1, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 1, 0, 1, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 1, 0, 1, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 0, 1/3, 1/3, 0, 0, 2/3, 0, 2/3}, {1, 1/3, 0, 0, 1, 1, 0, 0, 2/3}, 
   {0, 0, 1, 1, 0, 2/3, 0, 0, 0}, {0, 0, 1/3, 0, 1, 1/3, 0, 0, 0}, 
   {2/3, 0, 1/3, 0, 1/3, 1/3, 0, 0, 0}, {1, 1/3, 0, 1/3, 0, 0, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 1/2, 1/2, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 1, 1}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/7, 2/7, 0, 4/7, 0, 2/7, 0, 4/7}, 
   {0, 6/7, 4/7, 4/7, 4/7, 0, 0, 0, 0}, {4/7, 2/7, 0, 4/7, 0, 4/7, 0, 0, 0}, 
   {4/7, 0, 2/7, 0, 5/7, 0, 0, 0, 1/7}, {4/7, 0, 0, 0, 5/7, 0, 0, 0, 3/7}, 
   {0, 0, 2/7, 1/7, 0, 5/7, 5/7, 3/7, 0}, {0, 2/7, 2/7, 3/7, 0, 3/7, 0, 0, 
    3/7}, {0, 0, 2/7, 3/7, 0, 3/7, 0, 2/7, 5/7}, {2/7, 0, 0, 0, 5/7, 0, 3/7, 
    5/7, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 1, 0, 1/2, 1/2}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 1, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 0, 1, 1/2, 1, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1, 1, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, {1, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1/2, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 1, 1, 0, 0, 1/2}, {0, 0, 1, 1, 0, 0, 1/2, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 2/3, 2/3, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, {0, 0, 0, 1, 0, 0, 0, 1, 1/3}, 
   {2/3, 0, 0, 0, 1/3, 1, 1, 0, 0}, {0, 0, 0, 2/3, 1/3, 1, 1/3, 0, 0}, 
   {2/3, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1/3, 1, 0, 1, 1/3}, 
   {0, 0, 2/3, 1/3, 2/3, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{4/7, 0, 0, 0, 0, 0, 2/7, 0}, {0, 2/7, 0, 0, 6/7, 0, 0, 4/7}, 
   {3/7, 0, 4/7, 5/7, 0, 0, 0, 0}, {1/7, 0, 6/7, 5/7, 0, 0, 0, 2/7}, 
   {0, 1/7, 3/7, 0, 3/7, 4/7, 6/7, 0}, {0, 3/7, 0, 3/7, 4/7, 0, 0, 0}, 
   {1/7, 0, 1/7, 0, 5/7, 2/7, 0, 6/7}, {0, 1, 0, 3/7, 0, 2/7, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{3/5, 1/5, 0, 0, 0, 3/5, 0, 2/5, 2/5}, {3/5, 3/5, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 3/5, 3/5, 0, 2/5, 0, 0}, {3/5, 1/5, 2/5, 1/5, 1/5, 0, 0, 4/5, 
    2/5}, {0, 0, 1, 2/5, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 1, 0, 2/5, 0, 0}, 
   {0, 2/5, 0, 2/5, 2/5, 0, 0, 0, 0}, {0, 0, 0, 0, 2/5, 0, 2/5, 0, 2/5}, 
   {2/5, 2/5, 0, 0, 0, 0, 2/5, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1, 1}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1/2, 1/2, 1, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1/2, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1/2, 1, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/4, 0, 0, 0, 1/4, 1, 0, 1/2, 0}, {0, 3/4, 3/4, 1/4, 0, 1/4, 0, 0, 0}, 
   {1/4, 0, 1, 0, 0, 0, 0, 3/4, 0}, {0, 0, 1, 0, 1/4, 1/4, 0, 0, 3/4}, 
   {0, 0, 0, 1, 0, 0, 0, 1/4, 1}, {0, 1, 0, 1/2, 3/4, 0, 1/2, 0, 0}, 
   {3/4, 0, 0, 1/2, 0, 0, 1, 0, 0}, {3/4, 1, 0, 0, 3/4, 0, 0, 0, 1/2}, 
   {0, 0, 1/4, 0, 0, 1/2, 1, 3/4, 1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 3/4, 1/2, 0, 1/4, 0, 1, 0}, 
   {0, 1, 0, 1/2, 0, 0, 3/4, 0, 1}, {1/2, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1/4, 3/4, 0, 0, 1/4, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1/4, 0, 1, 0, 0, 1/2, 1, 0, 1/4}, {1/4, 1/4, 0, 0, 1/2, 0, 1/4, 0, 0}, 
   {3/4, 0, 0, 0, 0, 1/4, 0, 0, 3/4}, {0, 3/4, 0, 0, 0, 1/4, 0, 3/4, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1/2, 1, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 1, 1, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/3, 0, 1/3, 1, 0, 0, 0}, 
   {1, 2/3, 0, 1/3, 0, 0, 2/3, 0, 0}, {1/3, 0, 0, 1, 0, 2/3, 2/3, 2/3, 0}, 
   {1, 0, 0, 0, 1/3, 1/3, 0, 2/3, 0}, {0, 1/3, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1/3, 1/3, 1, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 1/2, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 0, 2/5, 0, 2/5, 2/5, 0, 0}, {0, 2/5, 0, 2/5, 2/5, 0, 0, 0, 2/5}, 
   {0, 0, 2/5, 0, 2/5, 0, 0, 0, 4/5}, {0, 0, 0, 3/5, 0, 1/5, 3/5, 1, 0}, 
   {2/5, 4/5, 0, 0, 1, 0, 0, 0, 3/5}, {2/5, 0, 2/5, 1/5, 0, 1/5, 3/5, 3/5, 
    0}, {0, 0, 0, 3/5, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 2/5, 3/5, 3/5, 0}, 
   {2/5, 0, 4/5, 0, 3/5, 0, 1/5, 1/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 1, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1/2, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 3/7, 4/7, 0, 0, 1/7, 0, 1}, {1, 1/7, 0, 0, 6/7, 4/7, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1/7, 0, 1}, {0, 0, 0, 6/7, 0, 4/7, 0, 2/7, 0}, 
   {0, 2/7, 0, 4/7, 0, 0, 2/7, 4/7, 0}, {0, 6/7, 0, 0, 0, 4/7, 6/7, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 6/7, 1, 0}, {0, 0, 1, 0, 6/7, 4/7, 0, 1, 0}, 
   {1, 1/7, 0, 0, 4/7, 0, 1/7, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 3/5, 0, 1/5, 0, 0, 0, 3/5}, {0, 1, 0, 3/5, 1/5, 0, 3/5, 0, 0}, 
   {1/5, 0, 4/5, 1, 0, 1, 0, 0, 0}, {0, 0, 2/5, 0, 4/5, 3/5, 3/5, 0, 0}, 
   {1/5, 4/5, 0, 2/5, 0, 2/5, 0, 3/5, 3/5}, {3/5, 0, 1, 0, 4/5, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/5, 0, 0, 0, 0}, {0, 1/5, 1/5, 1, 0, 2/5, 3/5, 0, 0}, 
   {2/5, 0, 0, 0, 1/5, 0, 0, 3/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 13/15, 3/5, 0, 4/15, 4/15, 0, 0, 1/15}, {0, 13/15, 1/3, 0, 8/15, 2/15, 
    0, 0, 1/5}, {1/3, 0, 0, 0, 0, 0, 13/15, 1, 0}, 
   {0, 4/15, 4/15, 14/15, 0, 2/15, 2/15, 2/15, 0}, 
   {14/15, 0, 2/3, 0, 0, 0, 0, 0, 14/15}, {0, 0, 0, 2/3, 0, 8/15, 0, 4/15, 
    4/15}, {0, 1/15, 1/15, 0, 2/3, 8/15, 1/3, 1/15, 0}, 
   {3/5, 2/15, 0, 0, 2/15, 0, 0, 0, 3/5}, {3/5, 0, 0, 2/15, 0, 0, 2/15, 0, 
    11/15}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 1/2, 0, 1/2, 1, 0, 0}, {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/9, 7/9, 0, 0, 1/3, 7/9, 5/9, 0}, 
   {0, 2/3, 0, 7/9, 1/3, 0, 0, 2/3, 1}, {0, 0, 2/3, 2/9, 0, 1/3, 1, 1/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 4/9, 1/9}, {0, 0, 0, 2/9, 2/3, 0, 0, 0, 1/3}, 
   {4/9, 1/9, 0, 1/9, 1/3, 0, 0, 0, 0}, {0, 2/3, 0, 2/9, 0, 1/3, 2/3, 0, 
    2/9}, {0, 0, 2/3, 0, 0, 1, 0, 2/9, 8/9}, {1/3, 5/9, 0, 1/9, 1/3, 0, 1, 
    1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {1/3, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1/3, 0, 0, 2/3, 0}, 
   {0, 1, 0, 0, 0, 1, 2/3, 2/3, 0}, {1/3, 0, 1, 1, 1/3, 0, 2/3, 0, 0}, 
   {2/3, 1, 0, 0, 2/3, 1, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/4}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 1/4}, 
   {0, 1/2, 1/4, 3/4, 1/4, 0, 0, 1/2, 0}, {1/4, 1/4, 0, 1/4, 3/4, 0, 0, 0, 
    0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/4, 1/4, 1/4, 0, 0, 1/2, 3/4, 1/4, 0}, {1, 1, 0, 0, 0, 3/4, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 1/2, 0, 0, 1}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 1, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1, 1/2}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1/2, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 2/3, 0, 1/3, 1, 0}, 
   {1, 0, 0, 0, 2/3, 0, 0, 1/3}, {0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 1, 0, 0, 2/3, 0, 0, 1}, {0, 1/3, 0, 2/3, 0, 2/3, 0, 1}, 
   {1, 0, 0, 2/3, 0, 1/3, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 1/3, 0, 0, 1/3, 0}, {0, 0, 0, 0, 1/3, 1/3, 0, 1/3}, 
   {0, 2/3, 0, 2/3, 0, 2/3, 0, 2/3}, {2/3, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 2/3}, {2/3, 0, 1, 1/3, 0, 1, 0, 1/3}, 
   {0, 2/3, 0, 0, 1/3, 0, 1, 0}, {0, 0, 2/3, 0, 1/3, 2/3, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1/2, 1}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 1, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 0, 0, 0, 1, 1/5, 1, 0}, 
   {0, 0, 0, 1/5, 1, 0, 0, 0, 1}, {0, 2/5, 4/5, 0, 0, 2/5, 0, 2/5, 0}, 
   {0, 0, 0, 4/5, 0, 0, 4/5, 0, 0}, {0, 0, 4/5, 2/5, 0, 4/5, 0, 0, 0}, 
   {4/5, 0, 0, 1/5, 1, 0, 1/5, 1, 0}, {4/5, 2/5, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 2/5, 0, 1, 4/5, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 1/3, 2/3, 1, 0, 0, 0, 0}, {1/3, 2/3, 0, 0, 0, 1/3, 0, 1, 0}, 
   {0, 1, 2/3, 1/3, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 1/3, 0, 1/3, 0, 1}, 
   {1/3, 0, 1, 0, 0, 1, 0, 0, 0}, {1/3, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 2/3, 1/3, 2/3, 0, 0, 1/3, 0}, {2/3, 1/3, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 1/3, 0, 2/3, 1/3, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 1/2}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, {1, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {1/2, 0, 1, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 1/2, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 0, 1, 1/2}, {0, 0, 0, 1/2, 1, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1/3, 0, 1, 0, 1/3, 0}, 
   {0, 0, 0, 0, 1/3, 0, 1/3, 0, 1}, {0, 0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 1/3, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 2/3}, 
   {0, 0, 2/3, 0, 1/3, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1, 0}, {1, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 4/7, 0, 2/7, 0, 4/7, 0, 0}, 
   {6/7, 0, 0, 0, 0, 0, 0, 4/7}, {4/7, 0, 3/7, 3/7, 0, 1, 4/7, 0}, 
   {3/7, 3/7, 4/7, 0, 1/7, 3/7, 0, 0}, {0, 6/7, 0, 0, 3/7, 0, 1/7, 5/7}, 
   {0, 0, 3/7, 1/7, 0, 0, 3/7, 3/7}, {6/7, 0, 0, 4/7, 3/7, 1/7, 0, 0}, 
   {2/7, 0, 0, 0, 3/7, 1/7, 4/7, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 3/4, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/4, 1/2, 0, 1/4, 1, 0, 0, 0, 0}, 
   {1/4, 0, 1, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 0, 3/4, 1/4, 1/2, 0, 
    1/4}, {1/4, 0, 1/2, 1/4, 0, 0, 1/2, 0, 0}, {1/4, 1/2, 0, 1/4, 0, 1/2, 0, 
    1/4, 0}, {1/4, 1/4, 1/4, 0, 0, 1/4, 1/4, 1/4, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1, 1}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, {1/3, 0, 1, 1/3, 0, 1, 1/3, 0, 0}, 
   {1, 1/3, 1, 0, 0, 2/3, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 2/3}, 
   {0, 1, 0, 1/3, 0, 1, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 1, 1/3}, 
   {1/3, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 2/3}, {0, 1/3, 2/3, 1/3, 0, 1/3, 2/3, 0, 0}, 
   {0, 1/3, 0, 1, 0, 1/3, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, {2/3, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 1, 1, 0, 1, 0, 0, 2/3}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/3, 2/3, 0, 1/3, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, {1, 1, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1, 0}, {1/2, 1, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, {1, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 1, 1, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 1/3, 0, 0, 1, 1/3}, 
   {0, 0, 0, 1/3, 0, 1, 1/3, 0, 0}, {0, 0, 2/3, 1/3, 0, 1, 0, 1/3, 1/3}, 
   {0, 2/3, 2/3, 0, 1/3, 0, 1/3, 0, 0}, {0, 0, 0, 2/3, 1, 0, 1, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1/2}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1/2, 1/2, 1, 0, 1/2, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 1, 0, 1}, {0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 0, 0, 1, 0, 0, 2/3}, 
   {1, 0, 0, 1/3, 1, 0, 0, 0, 0}, {0, 1/3, 1, 1/3, 1, 0, 0, 0, 0}, 
   {1/3, 2/3, 0, 0, 0, 1, 0, 2/3, 0}, {1, 0, 0, 2/3, 0, 1, 2/3, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, {0, 2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 3/4, 0, 0, 0}, 
   {3/4, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 3/4, 1, 0, 0, 0, 1/4}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {3/4, 0, 1, 0, 1/4, 0, 0, 3/4, 
    1/4}, {0, 3/4, 1/2, 0, 1/2, 0, 1/4, 1/4, 0}, {1/4, 1, 0, 0, 1/2, 0, 0, 0, 
    1/2}, {0, 0, 1/2, 1/4, 0, 1, 3/4, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1/2, 0, 0}, 
   {1, 1, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 2/3, 1/3, 0, 1/3, 0}, 
   {0, 0, 1/3, 1, 0, 1/3, 0, 1}, {0, 0, 0, 0, 1, 2/3, 1, 0}, 
   {0, 0, 1, 1, 0, 2/3, 1/3, 0}, {0, 2/3, 1/3, 1, 0, 0, 1/3, 0}, 
   {0, 0, 0, 0, 1/3, 1/3, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1/2, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {1/2, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 1, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 1/3, 0, 0, 1}, 
   {0, 0, 0, 1/3, 1, 0, 1, 1/3, 0}, {2/3, 2/3, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 0, 1/3, 1/3, 0, 2/3, 0, 1/3}, {0, 2/3, 0, 1/3, 1, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 0, 1/3, 1, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1, 0, 0, 0, 0, 1, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1/2, 1/2, 0, 0}, {0, 1, 1, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {1, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 0, 2/3}, {2/3, 0, 1/3, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 0, 1/3, 1/3, 1/3, 0, 1}, {1, 0, 1/3, 0, 0, 0, 1/3, 0}, 
   {0, 2/3, 1/3, 0, 0, 1/3, 0, 1/3}, {0, 1/3, 2/3, 0, 1/3, 1/3, 0, 0}, 
   {0, 0, 0, 1/3, 1/3, 2/3, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 1, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 1/2, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 1, 0, 0, 1/2}, {0, 1, 1, 1/2, 0, 0, 1, 0, 1/2}, 
   {1, 1/2, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1/3, 0, 1/3, 2/3, 0, 1/3, 0, 0}, 
   {0, 0, 1/3, 1/3, 0, 0, 0, 1/3, 1}, {1, 1, 0, 0, 0, 0, 2/3, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 2/3, 0, 1/3, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {1/3, 1/3, 0, 0, 1/3, 1/3, 1/3, 0, 1}, 
   {1, 1, 0, 0, 2/3, 0, 0, 1/3, 1}, {0, 0, 1, 0, 0, 0, 1, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 2/3, 2/3, 0, 0, 1/3}, {1/3, 0, 1, 1, 0, 0, 0, 1/3, 0}, 
   {0, 1, 0, 0, 0, 2/3, 0, 0, 1}, {2/3, 0, 1, 0, 1/3, 0, 0, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 1/3, 1/3, 0}, {1/3, 0, 1, 0, 0, 0, 1/3, 0, 1/3}, 
   {2/3, 0, 0, 0, 2/3, 1, 0, 0, 1/3}, {0, 1, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1}, {0, 1/2, 0, 0, 0, 1/2, 1, 1, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 2/3, 0, 1, 0, 1}, {0, 0, 1/3, 0, 2/3, 2/3, 0, 1/3, 2/3}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, {1, 1/3, 0, 0, 0, 2/3, 0, 1/3, 0}, 
   {1, 1/3, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 2/3, 0, 0, 1/3, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 2/3, 1/3, 1, 0}, {1/3, 0, 2/3, 0, 0, 0, 0, 1}, 
   {0, 2/3, 0, 0, 1/3, 0, 0, 1/3}, {0, 0, 0, 2/3, 1, 0, 0, 1/3}, 
   {0, 0, 1/3, 1/3, 0, 1, 1/3, 0}, {1/3, 0, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {0, 1/3, 0, 2/3, 1/3, 2/3, 0, 2/3}, {2/3, 1/3, 0, 0, 1/3, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/3, 1, 0, 0, 0, 0, 2/3, 1}, 
   {1, 1/3, 0, 2/3, 0, 0, 1, 1, 0}, {0, 0, 1/3, 2/3, 0, 2/3, 0, 0, 1}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 2/3, 1, 1/3, 0}, 
   {2/3, 0, 1/3, 1/3, 1/3, 1/3, 0, 0, 1/3}, {1, 1/3, 0, 0, 2/3, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 0, 1, 2/3, 0, 0, 0}, 
   {1, 1/3, 0, 1, 0, 1/3, 0, 0, 0}, {2/3, 0, 0, 1, 0, 0, 2/3, 1/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0, 1/3}, {1/3, 0, 0, 0, 1/3, 1, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0, 1}, {1, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 1/3, 2/3, 0}, {0, 2/3, 2/3, 1, 0, 1/3, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1, 1/2, 1/2, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, {0, 1, 1, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/3, 0, 0, 1/3}, {1/3, 0, 1/3, 0, 0, 1/3, 0, 0}, 
   {2/3, 0, 0, 1/3, 1/3, 0, 1, 0}, {0, 2/3, 1/3, 1/3, 0, 0, 0, 2/3}, 
   {1/3, 0, 0, 0, 1/3, 0, 1, 1/3}, {0, 2/3, 0, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 1/3, 2/3, 2/3, 0, 0, 0, 1/3}, {2/3, 0, 0, 0, 1/3, 1, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 1, 0, 1, 0, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 1/2, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1/2, 0, 1}, {0, 1, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 1, 1/2}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 1/2, 0, 1, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {1, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 4/5, 0, 0, 0, 0, 0, 0, 4/5}, {0, 0, 2/5, 4/5, 0, 2/5, 0, 0, 0}, 
   {1/5, 0, 0, 0, 3/5, 1/5, 4/5, 1, 0}, {1/5, 0, 2/5, 3/5, 0, 0, 3/5, 0, 
    3/5}, {1/5, 0, 4/5, 1/5, 0, 0, 3/5, 0, 3/5}, {0, 1/5, 1/5, 0, 1/5, 1/5, 
    0, 3/5, 0}, {1/5, 2/5, 0, 1/5, 0, 0, 0, 3/5, 0}, 
   {3/5, 0, 0, 0, 1, 3/5, 1/5, 0, 1/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 1, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 0}, {1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1/2, 0, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, {1/2, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 1, 0, 1, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 0, 1, 1, 1/3, 0}, {1, 1, 0, 0, 2/3, 1, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 1, 0, 0, 1/3}, {1/3, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1/3, 1, 0, 1, 0, 0, 2/3, 0, 0}, {0, 0, 1/3, 0, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 1/3, 0, 0, 1, 0, 1/3, 1/3, 0}, {2/3, 0, 0, 1/3, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 2/3, 0, 1/3, 0, 1, 0, 1/3}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1/3, 0}, {1, 0, 0, 1, 0, 1/3, 0, 0, 0}, 
   {0, 0, 1/3, 1, 0, 0, 0, 0, 1}, {1/3, 0, 0, 0, 1/3, 0, 0, 2/3, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 1, 1/2, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 1, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 3/4, 0}, 
   {1/4, 1/4, 0, 1/4, 1/2, 0, 1/2, 0, 3/4}, {1, 0, 0, 0, 1, 1/4, 0, 0, 3/4}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, {1, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, {0, 1, 1/2, 0, 0, 1/4, 0, 0, 0}, 
   {0, 0, 1/4, 1/4, 0, 0, 1, 1/4, 0}, {0, 1, 0, 1/2, 0, 1/4, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{4/7, 2/7, 4/7, 0, 0, 0, 0, 2/7, 0}, 
   {4/7, 4/7, 0, 6/7, 0, 0, 0, 0, 2/7}, {2/7, 0, 4/7, 0, 2/7, 0, 0, 4/7, 
    2/7}, {0, 2/7, 2/7, 1/7, 2/7, 0, 2/7, 3/7, 0}, 
   {0, 0, 0, 0, 1, 3/7, 3/7, 0, 3/7}, {0, 0, 6/7, 3/7, 0, 0, 0, 3/7, 2/7}, 
   {0, 2/7, 0, 1/7, 0, 4/7, 3/7, 0, 1/7}, {2/7, 4/7, 0, 0, 1/7, 3/7, 0, 1/7, 
    0}, {0, 0, 4/7, 3/7, 0, 0, 1, 0, 3/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 1, 0, 0}, {0, 1, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 1/3, 0, 1, 1/3, 1, 0}, {2/3, 0, 0, 1, 0, 1/3, 1/3, 0}, 
   {0, 0, 1, 0, 1, 2/3, 0, 1}, {1/3, 1/3, 0, 1/3, 2/3, 0, 2/3, 1/3}, 
   {0, 2/3, 0, 2/3, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/3, 0, 0, 2/3, 0, 0, 0, 0, 1/3}, 
   {0, 0, 0, 2/3, 1/3, 0, 0, 0, 0}, {2/3, 0, 0, 0, 1/3, 0, 0, 2/3, 0}, 
   {1, 0, 1, 0, 1/3, 0, 0, 0, 1}, {1/3, 0, 1, 0, 1/3, 2/3, 0, 0, 1/3}, 
   {0, 1, 0, 0, 0, 0, 1, 1/3, 0}, {1, 0, 1, 2/3, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 2/3, 1}, {0, 1/3, 2/3, 0, 1/3, 2/3, 2/3, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1, 1/2, 1/2, 1/2, 0, 1, 0, 0}, {1, 0, 0, 1/2, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {1/4, 0, 0, 0, 3/4, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/4, 0, 0, 1/2, 0}, {1/4, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/4, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1/4, 1/4, 1/4, 0, 3/4, 1/4, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1/2, 0, 1, 1, 0, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1, 1/2}, {1/2, 0, 1/2, 1, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1}, {0, 1/2, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 1/4, 0, 1/4, 0, 0, 1/4, 3/4}, 
   {0, 0, 0, 1/4, 0, 0, 0, 1/2, 3/4}, {1/2, 0, 3/4, 1/4, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/4, 3/4, 0, 0, 0}, {0, 0, 1/4, 0, 0, 1, 0, 3/4, 3/4}, 
   {3/4, 1/2, 0, 0, 1/4, 0, 3/4, 0, 0}, {0, 0, 1/2, 3/4, 1/4, 0, 3/4, 0, 0}, 
   {1/4, 0, 1/4, 3/4, 1, 0, 0, 1/4, 0}, {1/4, 1/4, 0, 0, 0, 1/4, 3/4, 1/2, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1, 0, 1/2}, 
   {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, 
   {1, 1/2, 0, 1/2, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1/2, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0}, {1, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1/2, 0, 1, 1, 1/2, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 1, 1, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 1/2, 1/2, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1/2, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1/3}, 
   {2/3, 0, 1, 1/3, 0, 1/3, 0, 0, 0}, {0, 1/3, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/3, 0, 0, 0, 0, 1, 2/3}, {1/3, 2/3, 0, 0, 0, 0, 1/3, 1/3, 0}, 
   {0, 2/3, 0, 1/3, 0, 2/3, 0, 0, 0}, {2/3, 0, 1, 0, 1/3, 0, 1, 0, 0}, 
   {1/3, 1/3, 2/3, 1/3, 0, 0, 2/3, 0, 1/3}, {1/3, 1, 0, 2/3, 0, 2/3, 0, 0, 
    1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 1/2, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 1/2}, {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 2/3, 0, 1/3, 1}, {1/3, 0, 2/3, 0, 0, 1/3, 0, 0}, 
   {1, 0, 1/3, 0, 0, 0, 0, 0}, {1/3, 0, 1/3, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 1, 1/3, 0, 2/3, 0}, {0, 2/3, 1, 0, 0, 0, 1/3, 1/3}, 
   {2/3, 0, 0, 1, 1, 1/3, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 1/2, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 1, 0}, {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 1, 1/3, 1/3, 1/3, 0}, {0, 2/3, 2/3, 1, 0, 0, 0, 0, 1/3}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 1/3, 1, 0, 0, 1/3}, {0, 0, 0, 0, 1/3, 1/3, 2/3, 0, 1}, 
   {0, 0, 0, 1, 0, 2/3, 1/3, 1/3, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/4, 0, 0, 1/2, 1/4, 0, 0, 0, 1/4}, 
   {0, 1/2, 1/4, 0, 0, 1/4, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 3/4}, 
   {1/2, 1/2, 1/2, 1/4, 0, 0, 0, 0, 1/4}, {1, 0, 3/4, 0, 0, 0, 1/2, 0, 0}, 
   {1/4, 1/2, 0, 0, 0, 1/4, 1/4, 1/4, 0}, {1/2, 0, 0, 0, 1/4, 1, 0, 1/2, 
    1/2}, {0, 3/4, 0, 0, 1/4, 0, 3/4, 3/4, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 0, 1/2, 1}, {0, 1/2, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 1/2}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1/2, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1/3, 0, 2/3, 0, 0, 0, 1/3, 0}, 
   {0, 0, 1/3, 0, 0, 0, 1/3, 0, 1}, {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 2/3, 1/3, 0, 0, 2/3, 0, 1/3, 0}, {1, 1, 0, 2/3, 0, 2/3, 1/3, 0, 
    1/3}, {0, 0, 1, 0, 0, 0, 2/3, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1/2, 0, 1, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1/2, 0, 1, 1, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 1, 1/2, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 1/2, 1, 0}, {0, 1, 0, 1/2, 1, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1/2}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 1/2, 0, 1, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 1/3, 2/3, 0, 0, 1/3, 1/3, 1/3}, {1/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 0, 1, 2/3}, {0, 1, 0, 2/3, 2/3, 0, 0, 1, 0}, 
   {1/3, 0, 1, 0, 0, 0, 1/3, 0, 1}, {0, 0, 1/3, 0, 0, 2/3, 0, 1, 0}, 
   {2/3, 0, 1, 0, 0, 0, 0, 1, 0}, {1/3, 1, 0, 0, 0, 0, 1/3, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 1/2, 1, 1/2, 0}, 
   {0, 0, 1/2, 1, 1, 0, 0, 1, 0}, {1, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{3/4, 0, 3/4, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 3/4, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 3/4, 0}, {0, 0, 1/4, 1/2, 0, 1, 0, 3/4, 0}, 
   {1, 1/2, 0, 1/4, 1/4, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1, 1/4, 1/4, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 1/4, 0, 0, 0, 1, 3/4, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, {0, 1/2, 1, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 0, 0, 1, 0, 1/2, 0}, {1, 0, 1, 0, 1, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/4, 1/4, 3/4, 0, 1/4, 0, 0, 0, 0}, 
   {1/4, 1/4, 0, 1/2, 1, 0, 1/2, 1/4, 0}, {0, 1/4, 3/4, 0, 0, 0, 1/4, 0, 
    1/4}, {0, 1/2, 0, 0, 0, 3/4, 0, 1/4, 0}, {1/4, 1/4, 0, 0, 1/4, 0, 0, 0, 
    1/2}, {0, 0, 0, 0, 1/2, 0, 1/4, 0, 3/4}, {3/4, 0, 0, 1/2, 0, 1/2, 0, 1/4, 
    0}, {3/4, 1/2, 0, 1/4, 0, 3/4, 0, 0, 1/4}, {0, 0, 1/2, 3/4, 3/4, 0, 1/2, 
    1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 1, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {1, 0, 0, 2/3, 2/3, 0, 1, 0}, {1, 0, 2/3, 0, 0, 2/3, 1/3, 0}, 
   {0, 1, 0, 2/3, 0, 1, 0, 1}, {0, 1/3, 2/3, 0, 0, 0, 1/3, 2/3}, 
   {1, 0, 0, 2/3, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 1, 0, 0, 0}, {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/2, 0, 1, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 1, 0, 1}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 1, 0, 1, 0, 2/3, 1}, 
   {0, 0, 0, 1, 0, 1, 1/3, 0}, {2/3, 0, 1/3, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 2/3, 1}, {2/3, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1/3, 0, 1, 1, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 3/5, 0, 1, 3/5, 2/5, 0, 0}, 
   {1/5, 0, 3/5, 0, 0, 4/5, 4/5, 0}, {0, 2/5, 0, 0, 0, 0, 2/5, 0}, 
   {0, 0, 2/5, 0, 2/5, 0, 0, 0}, {2/5, 0, 0, 0, 0, 0, 0, 2/5}, 
   {1, 0, 0, 1, 3/5, 0, 2/5, 0}, {0, 1/5, 3/5, 0, 0, 0, 0, 4/5}, 
   {1/5, 0, 1/5, 2/5, 0, 1/5, 1/5, 3/5}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 1/3, 0, 0, 2/3, 2/3, 0}, 
   {1/3, 0, 0, 0, 1/3, 1, 2/3, 0, 0}, {1, 2/3, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/3, 1, 0, 1/3, 1/3, 0, 0, 2/3}, {1/3, 0, 0, 1, 0, 0, 0, 2/3, 2/3}, 
   {1, 0, 0, 1, 2/3, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 2/3, 1, 0, 1/3}, {1/3, 0, 0, 2/3, 0, 0, 1, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 1, 0, 0, 0, 2/3, 1, 0}, {1/3, 0, 2/3, 2/3, 0, 1, 0, 1/3}, 
   {0, 1/3, 2/3, 0, 2/3, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 1/3, 2/3, 0, 0, 0}, {1, 1/3, 0, 2/3, 1/3, 0, 0, 2/3, 0}, 
   {0, 0, 1/3, 1/3, 0, 1/3, 0, 0, 2/3}, {0, 0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {1, 1, 0, 1, 0, 1/3, 0, 0, 2/3}, {0, 0, 1, 0, 1, 0, 0, 2/3, 0}, 
   {0, 0, 1, 0, 1/3, 0, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 1, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, 
   {1, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1/2, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {1, 0, 1/2, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 0, 0, 1, 0, 2/5, 1, 0}, {0, 0, 4/5, 4/5, 1/5, 0, 0, 1, 0}, 
   {0, 2/5, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 4/5, 0, 2/5, 0, 0}, 
   {4/5, 0, 0, 0, 0, 2/5, 0, 0, 0}, {2/5, 0, 0, 0, 0, 0, 2/5, 0, 2/5}, 
   {0, 0, 2/5, 0, 3/5, 2/5, 1/5, 0, 1}, {0, 4/5, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 3/5, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 0, 2/3, 0, 1, 0}, 
   {0, 1/3, 1/3, 2/3, 0, 2/3, 0, 1/3, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1/3}, 
   {0, 1, 1, 0, 2/3, 0, 1, 0, 1}, {1/3, 0, 0, 2/3, 0, 0, 0, 1, 0}, 
   {1/3, 2/3, 0, 2/3, 0, 2/3, 0, 1/3, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 1/2, 0, 1, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 1, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/7, 3/7, 0, 0, 0, 2/7, 0, 3/7, 0}, {0, 0, 3/7, 0, 6/7, 0, 3/7, 0, 5/7}, 
   {0, 3/7, 0, 0, 0, 1/7, 0, 6/7, 0}, {1, 0, 3/7, 1, 1/7, 0, 4/7, 0, 2/7}, 
   {0, 3/7, 0, 0, 0, 3/7, 0, 4/7, 0}, {0, 1, 1/7, 3/7, 3/7, 0, 3/7, 0, 3/7}, 
   {3/7, 0, 0, 0, 0, 1, 1, 0, 1}, {5/7, 0, 6/7, 1/7, 1/7, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 0, 2/3, 2/3, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/3, 0, 1/3, 2/3, 1/3, 2/3, 0}, 
   {0, 0, 1/3, 2/3, 0, 0, 1/3, 0, 1/3}, {0, 0, 1/3, 2/3, 1/3, 0, 0, 0, 1/3}, 
   {0, 1/3, 0, 2/3, 1/3, 0, 1/3, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 2/3}, 
   {1/3, 0, 0, 0, 1/3, 2/3, 0, 1/3, 0}, {1/3, 0, 0, 0, 1/3, 0, 2/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1/3, 0, 1, 0}, 
   {0, 2/3, 1/3, 0, 0, 1/3, 0, 1/3}, {0, 0, 1, 2/3, 0, 1/3, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 1, 1, 0, 1}, {0, 0, 1, 0, 2/3, 0, 1/3, 0}, 
   {0, 2/3, 1/3, 0, 0, 2/3, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1}, {1, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 1, 0, 0, 3/5, 0, 0, 2/5}, {1, 0, 0, 1, 1/5, 0, 4/5, 0, 0}, 
   {3/5, 0, 4/5, 3/5, 1/5, 0, 0, 0, 2/5}, {0, 4/5, 0, 0, 0, 0, 0, 2/5, 0}, 
   {0, 2/5, 0, 0, 2/5, 2/5, 0, 0, 0}, {0, 0, 0, 0, 0, 4/5, 4/5, 2/5, 0}, 
   {1, 0, 0, 0, 4/5, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1/5, 0, 2/5, 4/5}, 
   {0, 1/5, 1, 1, 3/5, 0, 2/5, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1/2, 1, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 1, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 1/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 1/3, 0, 0, 0, 2/3, 2/3, 0, 0}, {1/3, 0, 2/3, 1/3, 0, 0, 0, 1/3, 0}, 
   {1/3, 0, 0, 2/3, 1, 0, 0, 1/3, 0}, {0, 0, 2/3, 0, 2/3, 1/3, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 1/3, 0, 1}, {0, 2/3, 0, 1, 1/3, 0, 1/3, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 1/3, 0, 2/3, 0}, {1/3, 0, 1/3, 0, 0, 1, 2/3, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1, 0, 1/2, 1/2, 0}, {0, 1/2, 1, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 2/3, 0, 0, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 0, 0, 1, 0, 0}, {1/3, 0, 1/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 1, 1/3}, {0, 2/3, 1, 0, 0, 1/3, 1/3, 0, 1/3}, 
   {0, 1, 2/3, 1/3, 0, 0, 1/3, 2/3, 0}, {0, 0, 1/3, 2/3, 0, 2/3, 0, 1/3, 1}, 
   {1, 0, 0, 0, 1/3, 0, 1, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 2/3, 0, 1/3, 0}, 
   {1/3, 1, 0, 2/3, 0, 0, 1/3, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 2/3, 0, 1/3, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 2/3, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1/3, 0, 0, 2/3, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {1, 1, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 1, 1/2, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 1, 0, 1, 1/2, 0, 1/2}, {1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 1, 1/2}, {0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 1, 1, 0, 0, 0, 1/2, 0}, {0, 0, 1, 1, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/3, 0, 0, 0, 2/3}, {1, 0, 1/3, 0, 1, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 1/3, 2/3, 1/3, 1, 1/3}, {1, 0, 0, 1, 0, 0, 0, 2/3}, 
   {0, 1, 1/3, 0, 1/3, 2/3, 2/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 0, 1, 1/2}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 1/2, 1/2, 0}, {0, 1, 1, 0, 1/2, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/4, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 3/4, 0, 1, 0, 0}, {1/2, 0, 3/4, 0, 0, 0, 1/4, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 3/4, 0, 1/2, 0, 1, 0, 1/4, 0}, 
   {1/4, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1}, {1/4, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 1/4, 0, 1, 1/4, 0, 0, 1, 0}, {1/4, 0, 1/2, 0, 0, 1/2, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 1}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 1, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 2/3, 0, 1, 1/3}, {1/3, 2/3, 0, 1/3, 0, 1/3, 0, 1, 0}, 
   {1, 0, 1/3, 2/3, 2/3, 0, 1, 0, 1}, {0, 1, 2/3, 0, 0, 0, 1/3, 0, 1/3}, 
   {0, 1/3, 0, 0, 0, 2/3, 1/3, 0, 0}, {1/3, 0, 2/3, 0, 1/3, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 1}, {2/3, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 1, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1/2, 1, 1, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/5, 0, 4/5, 2/5, 0, 0, 2/5, 0, 0}, 
   {0, 0, 0, 0, 0, 4/5, 0, 0, 2/5}, {0, 3/5, 0, 0, 0, 1/5, 4/5, 2/5, 0}, 
   {3/5, 0, 1/5, 1, 3/5, 0, 0, 0, 0}, {0, 1, 0, 0, 4/5, 1/5, 0, 2/5, 0}, 
   {0, 3/5, 0, 1, 1/5, 0, 0, 2/5, 2/5}, {0, 1, 0, 3/5, 3/5, 0, 2/5, 0, 2/5}, 
   {1, 0, 1, 0, 2/5, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1/2, 1, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 1/2, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{3/4, 3/4, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 3/4, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 3/4, 0, 0}, 
   {1/4, 0, 0, 1/4, 0, 0, 0, 0, 3/4}, {1, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 1/4, 0, 0, 1/4, 0, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/4, 0, 1, 0, 1/2, 1, 0, 3/4, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 0, 1}, {1, 1/2, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 1, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 2/3, 1, 0, 1/3}, {0, 0, 1/3, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 1/3, 0, 1/3, 0, 0, 2/3}, {0, 0, 1/3, 0, 0, 2/3, 1/3, 0, 1/3}, 
   {1/3, 0, 1/3, 0, 1/3, 0, 0, 2/3, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1/3, 0, 0, 2/3, 1, 0, 1, 0, 1}, {1/3, 2/3, 0, 1/3, 0, 1/3, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1, 1/2}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1, 1/2, 0, 0, 1}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 1, 0, 0, 1/2, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 1, 0, 1, 2/3, 0, 0}, {1/3, 1/3, 0, 0, 1, 0, 0, 2/3, 1}, 
   {2/3, 0, 1, 0, 0, 1/3, 0, 2/3, 1/3}, {0, 2/3, 0, 0, 1/3, 0, 1/3, 0, 0}, 
   {0, 2/3, 1/3, 0, 1/3, 0, 0, 0, 0}, {1/3, 0, 0, 1/3, 0, 0, 0, 0, 1/3}, 
   {0, 0, 1/3, 0, 2/3, 0, 2/3, 0, 0}, {0, 1, 0, 2/3, 0, 1, 0, 2/3, 2/3}, 
   {1/3, 0, 0, 0, 1/3, 0, 1, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 1/2, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 1/3, 1/3, 1, 2/3}, {0, 0, 1, 1, 0, 2/3, 0, 1}, 
   {0, 2/3, 0, 0, 1, 1/3, 1/3, 0}, {0, 0, 0, 2/3, 1/3, 0, 2/3, 1}, 
   {0, 0, 1, 1, 0, 1/3, 1, 0}, {2/3, 0, 0, 0, 1, 0, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 2/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 2/3, 1/3, 2/3, 0}, {0, 1/3, 0, 2/3, 0, 0, 0, 1/3}, 
   {0, 1, 0, 0, 0, 2/3, 0, 1/3}, {1/3, 0, 0, 0, 0, 1/3, 1, 0}, 
   {0, 1, 2/3, 2/3, 0, 0, 1/3, 0}, {0, 1/3, 2/3, 0, 0, 0, 1/3, 2/3}, 
   {1/3, 0, 0, 0, 2/3, 1/3, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 1/3, 0, 2/3, 1/3, 0, 2/3, 0}, {0, 0, 1, 0, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 1, 0, 1/3, 1/3, 0, 0, 2/3, 0}, {1/3, 1/3, 0, 0, 2/3, 1/3, 0, 0, 
    2/3}, {0, 0, 1, 1/3, 1, 0, 0, 0, 0}, {0, 0, 1/3, 0, 0, 1/3, 1, 1, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/3, 1, 0}, {0, 2/3, 0, 2/3, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 2/3, 1/3, 0}, {2/3, 0, 0, 1/3, 0, 2/3, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1/3, 0}, {0, 0, 2/3, 1/3, 0, 0, 1/3, 2/3}, 
   {2/3, 0, 0, 0, 1/3, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1, 1, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1/2}, {1/2, 0, 1, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 3/5, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 3/5, 0, 0, 0, 3/5}, {0, 1/5, 0, 4/5, 0, 0, 0, 1, 2/5}, 
   {3/5, 4/5, 0, 0, 2/5, 1, 1/5, 0, 0}, {1, 0, 1, 4/5, 0, 0, 1/5, 0, 0}, 
   {1/5, 0, 4/5, 0, 4/5, 4/5, 0, 1/5, 1/5}, {3/5, 1, 0, 2/5, 0, 3/5, 2/5, 
    3/5, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 3/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1}, {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1, 1/2}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1, 1/2}, {0, 0, 1/2, 1, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, {0, 1/2, 0, 0, 1, 1, 1, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 1, 1/3, 0, 0}, 
   {0, 0, 0, 1, 1/3, 0, 0, 1/3, 1}, {0, 0, 0, 1, 1/3, 0, 1, 2/3, 0}, 
   {0, 0, 2/3, 1/3, 1/3, 2/3, 1/3, 0, 2/3}, {2/3, 0, 2/3, 0, 0, 1, 0, 1/3, 
    1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 1, 1/2, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {1, 0, 1/2, 1, 0, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 1, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1, 1/2}, 
   {0, 0, 0, 1, 1, 0, 1, 1/2, 0}, {1/2, 0, 0, 1, 0, 1/2, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1, 1, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1, 1, 0, 1, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 1, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 
    1/2}, {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 0, 0, 2/3, 0, 1}, {0, 1, 0, 2/3, 0, 0, 0, 0, 1}, 
   {1/3, 1/3, 2/3, 1/3, 0, 2/3, 0, 0, 0}, {0, 0, 1, 1/3, 2/3, 0, 0, 1, 0}, 
   {1, 1/3, 0, 1/3, 0, 1, 0, 0, 0}, {2/3, 1/3, 0, 0, 0, 0, 1, 1/3, 0}, 
   {0, 0, 2/3, 0, 1/3, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 2/3, 0}, 
   {0, 1/3, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 1/2, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 1/2, 1}, {0, 0, 1, 1, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1, 0, 1, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1/4, 3/4, 0, 0}, 
   {1/4, 0, 1/4, 1, 1/2, 0, 0, 0, 1/2}, {1/4, 1/2, 0, 1/2, 0, 0, 3/4, 0, 0}, 
   {0, 3/4, 0, 0, 1/2, 1/4, 0, 0, 1/2}, {1/2, 0, 3/4, 0, 1/2, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1/4, 0, 0, 0, 1/4, 1/4, 1, 0}, {1/2, 0, 3/4, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 1, 1, 0, 1/2, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 1}, {1, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/4, 0, 3/4, 1/4, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/4, 0, 0, 1/4, 1/4, 1/2, 0, 0}, {1/4, 0, 1, 0, 1/4, 1/4, 3/4, 0, 0}, 
   {0, 1/4, 3/4, 1/4, 0, 0, 1/4, 0, 0}, {1/4, 1/2, 0, 1/4, 0, 0, 0, 3/4, 
    3/4}, {3/4, 1/4, 0, 1/2, 0, 0, 1/4, 1/2, 0}, {3/4, 3/4, 0, 0, 0, 0, 1/4, 
    0, 0}, {0, 0, 1/4, 0, 1/2, 0, 0, 3/4, 3/4}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 1/3, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/3, 0, 0, 2/3, 2/3, 1/3, 0, 1/3}, {0, 1, 2/3, 0, 0, 0, 1, 0}, 
   {1/3, 0, 0, 2/3, 0, 1/3, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/2, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/7, 3/7, 1/7, 0, 0, 1, 1}, 
   {2/7, 0, 0, 0, 0, 5/7, 3/7, 0, 0}, {0, 6/7, 4/7, 0, 0, 3/7, 0, 3/7, 3/7}, 
   {0, 0, 2/7, 5/7, 5/7, 0, 3/7, 0, 0}, {0, 0, 0, 5/7, 3/7, 0, 3/7, 2/7, 0}, 
   {2/7, 2/7, 0, 0, 2/7, 0, 2/7, 0, 2/7}, {0, 2/7, 2/7, 2/7, 2/7, 0, 4/7, 0, 
    0}, {6/7, 0, 0, 0, 0, 4/7, 0, 2/7, 4/7}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1, 1, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, {1/2, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1/2, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/7, 2/7, 0, 1, 0, 0, 5/7, 5/7}, 
   {5/7, 4/7, 5/7, 0, 1/7, 0, 1/7, 0, 0}, {5/7, 0, 6/7, 1/7, 0, 0, 2/7, 4/7, 
    0}, {2/7, 0, 0, 1/7, 5/7, 0, 0, 1/7, 4/7}, {0, 5/7, 0, 1/7, 0, 2/7, 0, 
    1/7, 0}, {0, 2/7, 2/7, 0, 1/7, 0, 2/7, 0, 2/7}, 
   {0, 3/7, 0, 1/7, 2/7, 0, 5/7, 2/7, 0}, {0, 0, 0, 6/7, 0, 5/7, 0, 0, 2/7}, 
   {2/7, 1/7, 0, 0, 0, 1/7, 4/7, 0, 1/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 0, 2/3, 2/3, 1/3, 0, 1/3}, {1, 1/3, 0, 1/3, 1, 0, 1/3, 1, 
    0}, {0, 0, 2/3, 0, 0, 0, 0, 2/3, 1}, {0, 0, 1, 0, 0, 0, 1, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 1, 1, 0, 0}, {1/3, 1, 0, 0, 2/3, 0, 0, 0, 1}, 
   {0, 2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, {2/3, 0, 1/3, 0, 0, 1/3, 0, 1/3, 1/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/2, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 0, 1/3, 2/3, 0, 0, 2/3}, {2/3, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1/3, 1, 0, 1/3, 0, 1, 0, 2/3, 0}, {0, 2/3, 1/3, 1/3, 0, 1/3, 2/3, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1/3, 1, 0, 2/3, 1, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/4, 1/2, 1/4, 0, 0, 0, 1/2}, {1/4, 0, 0, 0, 0, 1/4, 0, 1/2, 0}, 
   {0, 0, 1/4, 0, 3/4, 3/4, 0, 0, 1}, {1/2, 3/4, 3/4, 1/4, 1/4, 0, 0, 0, 0}, 
   {1/4, 1/2, 0, 1/2, 0, 1/4, 1, 1/2, 0}, {0, 1/4, 0, 3/4, 0, 1/2, 0, 0, 1}, 
   {1/2, 1/4, 0, 3/4, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 1/4, 0, 0, 1/4, 0, 0}, 
   {0, 1/4, 0, 3/4, 0, 3/4, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 3/4, 0, 1}, 
   {0, 1/4, 1, 0, 0, 0, 1, 0, 1}, {1/2, 0, 1/4, 0, 1/2, 1/2, 0, 1/4, 1/4}, 
   {3/4, 0, 0, 0, 3/4, 0, 0, 1, 0}, {1/4, 0, 1/2, 0, 0, 0, 1/4, 3/4, 0}, 
   {0, 1/4, 1/4, 0, 0, 1/4, 0, 1, 0}, {1, 3/4, 0, 1/2, 0, 0, 1/4, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1, 1/2}, 
   {1, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 2/3, 1}, {2/3, 0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, 
   {1, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {1/3, 1, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {2/3, 0, 1/3, 0, 0, 1, 0, 1, 0}, {0, 1, 1/3, 0, 0, 0, 1, 1/3, 0}, 
   {0, 0, 1/3, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1/3, 2/3, 1/3, 0}, 
   {0, 0, 1/3, 1/3, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1, 0, 1, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, {1/2, 1, 0, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 2/3, 0, 1/3, 0, 2/3}, 
   {0, 0, 1, 1/3, 0, 1/3, 0, 2/3, 1/3}, {0, 0, 1, 0, 1/3, 0, 1/3, 0, 0}, 
   {0, 1/3, 0, 0, 0, 1/3, 0, 2/3, 0}, {0, 0, 0, 0, 1/3, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 2/3, 0, 1/3, 0, 1/3}, {1, 2/3, 0, 0, 0, 1/3, 0, 0, 0}, 
   {1, 1/3, 0, 1/3, 0, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1/3, 0, 1/3, 0, 1/3}, {0, 2/3, 0, 0, 0, 2/3, 0, 1/3, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 2/3}, {2/3, 1/3, 0, 1/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 1/3, 0, 0}, {1/3, 0, 1, 0, 0, 2/3, 0, 1, 0}, 
   {0, 1/3, 2/3, 0, 1/3, 0, 0, 2/3, 1/3}, {0, 1, 0, 2/3, 2/3, 0, 1/3, 0, 
    1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 1/2, 0}, {0, 1, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 0, 1, 1, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 6/7, 0, 4/7, 0, 0, 2/7, 0, 4/7}, {2/7, 0, 0, 0, 4/7, 2/7, 0, 2/7, 0}, 
   {0, 1/7, 1/7, 6/7, 0, 0, 5/7, 5/7, 0}, {1/7, 1/7, 0, 1, 0, 1/7, 3/7, 6/7, 
    0}, {3/7, 0, 5/7, 0, 1/7, 4/7, 0, 0, 2/7}, {3/7, 0, 1/7, 5/7, 0, 2/7, 
    2/7, 0, 2/7}, {0, 1/7, 1/7, 6/7, 1/7, 0, 0, 2/7, 3/7}, 
   {0, 5/7, 0, 0, 3/7, 4/7, 2/7, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 3/5, 0, 3/5}, {3/5, 0, 0, 3/5, 0, 0, 0, 0, 0}, 
   {0, 0, 3/5, 0, 0, 0, 3/5, 0, 0}, {0, 0, 0, 0, 1, 1/5, 0, 4/5, 2/5}, 
   {3/5, 0, 0, 2/5, 4/5, 0, 1/5, 2/5, 0}, {0, 0, 3/5, 1/5, 0, 1, 1, 0, 4/5}, 
   {0, 3/5, 3/5, 4/5, 1, 0, 1/5, 0, 2/5}, {3/5, 3/5, 0, 0, 1/5, 1, 2/5, 1/5, 
    0}, {0, 0, 0, 2/5, 0, 4/5, 0, 1, 1/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 1, 0, 1/2, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1/2, 0, 1/2, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 1, 2/3, 0, 0, 0}, 
   {1, 0, 1/3, 0, 0, 0, 1/3, 0, 0}, {2/3, 0, 0, 0, 1/3, 0, 2/3, 0, 0}, 
   {0, 2/3, 1/3, 2/3, 0, 1/3, 0, 0, 0}, {0, 2/3, 1, 0, 0, 1/3, 0, 0, 0}, 
   {1/3, 0, 0, 1, 2/3, 0, 0, 2/3, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1/3, 0, 0, 1/3, 1/3, 0, 0, 2/3}, {1, 0, 0, 0, 0, 2/3, 0, 1/3, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 1, 0, 0, 0}, 
   {0, 1/3, 2/3, 0, 0, 0, 1, 0, 0}, {1/3, 0, 0, 0, 0, 1/3, 1/3, 0, 2/3}, 
   {0, 1/3, 1/3, 1/3, 0, 0, 0, 2/3, 1/3}, {0, 2/3, 0, 1/3, 0, 1/3, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 2/3, 2/3, 0, 1}, {0, 0, 0, 2/3, 1, 0, 0, 1/3, 2/3}, 
   {2/3, 0, 0, 0, 1/3, 0, 1/3, 1, 0}, {1/3, 0, 0, 1, 0, 0, 2/3, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 2/3, 0, 1/3, 2/3, 0}, {0, 2/3, 1, 0, 0, 0, 1/3, 0, 0}, 
   {0, 1/3, 1/3, 1/3, 1/3, 0, 0, 1/3, 0}, {0, 0, 1/3, 2/3, 0, 1, 0, 1/3, 0}, 
   {1, 0, 0, 0, 0, 1/3, 1/3, 0, 2/3}, {0, 1, 1/3, 2/3, 0, 0, 1/3, 1/3, 0}, 
   {2/3, 1/3, 0, 0, 0, 0, 0, 0, 1/3}, {1, 0, 1/3, 1/3, 1/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 2/3, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 0, 1/2, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1}, {1, 0, 0, 1/2, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1, 1, 1/2, 0, 0}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1, 0, 1/2, 1, 0, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 1}, {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 0, 1}, {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/3, 1/3, 0, 1/3, 2/3, 0, 0}, {1/3, 0, 1/3, 0, 1, 0, 2/3, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 2/3, 2/3}, {0, 1/3, 0, 1, 2/3, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, {0, 2/3, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1, 1, 0, 0, 1/2}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1/2, 0, 0, 1, 0, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 2/3, 2/3, 0, 1/3}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 0, 0, 0}, {1/3, 0, 0, 2/3, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 1, 0, 1/3, 1/3, 0, 1, 0, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 0, 0, 1/3, 2/3, 1/3, 1/3, 0}, {0, 0, 1/3, 2/3, 1/3, 0, 1/3, 0, 
    1/3}, {0, 1/3, 1/3, 2/3, 2/3, 0, 0, 0, 0}, {1/3, 1, 0, 0, 0, 0, 0, 1/3, 
    1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 1, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1/2, 1/2, 0, 0}, {1, 0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1/3, 0, 0, 1/3, 2/3, 0, 2/3, 0}, {1, 1, 0, 0, 1/3, 0, 0, 2/3, 0}, 
   {0, 0, 1/3, 1/3, 0, 1/3, 0, 0, 2/3}, {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {2/3, 0, 1/3, 0, 1/3, 0, 0, 0, 2/3}, {1, 1/3, 0, 1/3, 0, 1/3, 0, 0, 2/3}, 
   {0, 0, 1, 2/3, 1, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1/2, 0, 1, 0, 0, 1/2, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1, 1, 1/3, 0, 1/3}, {1/3, 2/3, 0, 1/3, 0, 0, 2/3, 2/3, 0}, 
   {1/3, 0, 0, 1/3, 0, 2/3, 0, 1, 0}, {1/3, 0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 0, 2/3, 0, 2/3}, 
   {0, 1/3, 1/3, 1/3, 0, 0, 0, 0, 1/3}, {1/3, 2/3, 0, 0, 1/3, 1/3, 0, 0, 0}, 
   {0, 0, 1/3, 1/3, 0, 0, 1/3, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 1, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 1, 0, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/7, 0, 0, 5/7, 0, 1, 0}, 
   {4/7, 2/7, 0, 3/7, 1/7, 0, 1/7, 0, 1}, {0, 0, 0, 2/7, 0, 6/7, 0, 4/7, 0}, 
   {0, 2/7, 6/7, 0, 2/7, 0, 0, 0, 0}, {0, 2/7, 0, 0, 0, 0, 6/7, 4/7, 0}, 
   {0, 0, 2/7, 0, 0, 3/7, 1, 0, 1}, {2/7, 2/7, 0, 5/7, 5/7, 0, 0, 3/7, 0}, 
   {2/7, 0, 0, 0, 2/7, 3/7, 5/7, 0, 5/7}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 1, 0, 0, 1/2, 1, 0, 0, 1/2}, {1/2, 0, 1/2, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 2/5, 0, 0, 3/5, 3/5, 1/5, 0}, 
   {0, 0, 0, 0, 2/5, 1, 3/5, 3/5, 0}, {0, 2/5, 0, 3/5, 1/5, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 2/5, 4/5, 0}, {2/5, 0, 0, 0, 0, 0, 0, 4/5, 0}, 
   {4/5, 2/5, 0, 0, 0, 4/5, 0, 0, 0}, {2/5, 0, 0, 1, 3/5, 0, 1, 1/5, 0}, 
   {0, 2/5, 2/5, 0, 2/5, 3/5, 0, 0, 1}, {0, 0, 4/5, 0, 0, 1/5, 2/5, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 1}, 
   {1, 0, 0, 0, 1/2, 1, 1/2, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 1, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 1}, {0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 1/2, 1, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 1, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/4, 0, 1, 1/2, 0, 1/2, 0, 1/4}, {0, 0, 1, 0, 0, 1/4, 0, 1/2, 0}, 
   {0, 1/4, 1/4, 3/4, 3/4, 0, 1/4, 3/4, 0}, {0, 0, 1, 1/4, 0, 0, 1, 0, 3/4}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/4}, 
   {1, 1/4, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/4, 0, 0, 0, 1/4, 1/2, 0, 1/4, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1/2, 1, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1, 0, 0, 1, 1, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, {0, 0, 1, 0, 0, 1, 0, 1/2, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1/2, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 1, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, {0, 1/2, 0, 1, 0, 1, 0, 1/2, 0}, 
   {1, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 1/3, 1/3, 1/3, 0, 1/3}, 
   {1/3, 0, 1, 1/3, 0, 0, 0, 1/3, 1/3}, {2/3, 1/3, 0, 0, 0, 0, 1, 0, 0}, 
   {1/3, 2/3, 0, 1/3, 0, 0, 0, 1, 0}, {1/3, 0, 1/3, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 1/3, 1/3, 0, 1/3, 0, 1/3, 2/3}, {1/3, 1, 0, 0, 1/3, 0, 0, 0, 1}, 
   {1/3, 2/3, 0, 0, 1/3, 1/3, 0, 0, 2/3}, {0, 0, 1, 0, 0, 0, 1, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1, 0, 1/2}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 0, 0, 0, 1, 1, 0, 0, 1/2}, 
   {0, 0, 1, 1, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 1, 0, 0, 1/2, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 1, 1/3, 0, 0, 1}, {0, 0, 0, 1/3, 1/3, 2/3, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1/3, 0}, {0, 0, 0, 1, 1/3, 1, 1/3, 0}, 
   {0, 0, 1, 2/3, 0, 0, 2/3, 1/3}, {2/3, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 2/3, 0, 1/3, 2/3, 0, 1/3, 1/3}, 
   {0, 2/3, 0, 1, 0, 1/3, 1, 0, 0}, {0, 2/3, 2/3, 0, 1/3, 0, 0, 1/3, 1/3}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 1/3, 0, 0}, {2/3, 2/3, 0, 1/3, 0, 1/3, 0, 1, 
    1/3}, {0, 0, 0, 0, 1, 2/3, 1/3, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/3, 0, 0, 1, 1/3, 0, 0, 1, 0}, {0, 0, 1/3, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 2/3, 0, 0, 0, 1, 0}, {1/3, 0, 0, 1, 2/3, 0, 1, 0, 1}, 
   {1/3, 1/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 1/3, 1/3, 0, 0, 0, 1, 0, 1/3}, 
   {1, 0, 0, 0, 0, 0, 0, 1/3, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 2/3, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 2/3, 0, 2/3, 1/3, 1/3, 1/3, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1/3, 0}, {0, 0, 2/3, 0, 2/3, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 0, 0, 1, 0, 2/3, 1}, {0, 2/3, 0, 1, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/5, 0, 0, 3/5, 0, 4/5, 2/5, 1/5}, 
   {2/5, 0, 4/5, 0, 0, 0, 0, 0, 2/5}, {1/5, 1/5, 0, 0, 4/5, 1/5, 4/5, 2/5, 
    0}, {0, 0, 1/5, 0, 0, 0, 0, 2/5, 4/5}, {1/5, 0, 0, 1/5, 0, 0, 0, 3/5, 
    3/5}, {1/5, 3/5, 0, 4/5, 0, 3/5, 0, 0, 0}, {1/5, 3/5, 0, 0, 1/5, 0, 2/5, 
    0, 1/5}, {3/5, 1, 0, 0, 1/5, 1/5, 0, 0, 1/5}, 
   {0, 0, 1/5, 0, 0, 0, 1, 3/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 1, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 1, 0, 1, 2/3, 1, 0}, {0, 0, 2/3, 0, 1/3, 0, 1, 0, 1}, 
   {0, 2/3, 0, 1, 0, 1/3, 0, 1, 0}, {0, 0, 0, 0, 1, 2/3, 0, 1/3, 0}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 0, 1, 0}, {0, 2/3, 0, 1/3, 0, 1/3, 1, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 1, 0, 1, 0, 2/3, 0}, 
   {1, 1/3, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1/3, 1/3, 0, 1, 2/3, 2/3, 0}, 
   {0, 2/3, 1/3, 0, 1, 0, 0, 0, 0}, {1, 1/3, 0, 1/3, 0, 1/3, 0, 0, 2/3}, 
   {0, 0, 1/3, 0, 1, 2/3, 0, 0, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 2/3, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 0, 2/3, 0, 0, 1/3}, {0, 0, 1/3, 0, 0, 1, 0, 0, 0}, 
   {2/3, 1, 0, 1/3, 1/3, 0, 0, 0, 0}, {1/3, 0, 1/3, 1/3, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 2/3, 0, 1, 0, 0, 0, 1/3}, {1/3, 1/3, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {1, 1, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 1/3, 0, 1, 0, 1/3, 1/3, 0, 2/3}, 
   {0, 0, 1, 2/3, 2/3, 0, 1/3, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/4, 0, 0, 0, 0, 3/4, 1/2, 0, 3/4}, {0, 0, 1, 3/4, 1, 0, 0, 0, 0}, 
   {0, 0, 3/4, 0, 1/4, 0, 1/4, 0, 3/4}, {0, 1/4, 0, 1, 0, 1/4, 1/4, 0, 0}, 
   {1/4, 0, 0, 1/2, 1/4, 0, 0, 1/2, 0}, {1/4, 0, 1, 0, 1/4, 0, 1/2, 0, 0}, 
   {0, 0, 1/4, 1/4, 0, 1, 1/4, 3/4, 0}, {0, 1/4, 0, 0, 1/4, 3/4, 0, 3/4, 0}, 
   {3/4, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/4, 1/2, 0, 1, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/4}, 
   {3/4, 3/4, 0, 0, 3/4, 0, 1/4, 1/4, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 
    0}, {1, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1/4, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 3/4, 1/2, 0, 0, 0, 0, 1/4}, {3/4, 0, 0, 0, 1/4, 1, 0, 1/2, 0}, 
   {0, 0, 1/4, 0, 0, 0, 0, 1/2, 3/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 1, 2/3}, {2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 1, 0, 1/3}, {0, 1, 1, 2/3, 0, 0, 1/3, 1/3}, 
   {0, 1/3, 2/3, 1/3, 1/3, 1/3, 0, 0}, {0, 0, 0, 1/3, 1/3, 0, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 0, 1/3, 1/3}, {0, 1/3, 0, 0, 0, 1/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 1/2, 1, 0}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {1, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1}, {1, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {1/2, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 1, 0, 1}, {0, 0, 1, 1/2, 0, 0, 0, 1, 1}, 
   {1/2, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1, 1, 0, 0, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, {0, 1, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 1/2, 0, 1, 1, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1/2, 1, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 1, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 7/9, 0, 0, 2/3, 0, 1/3, 0}, 
   {1/3, 1, 0, 0, 4/9, 0, 7/9, 0, 1/3}, {0, 0, 2/9, 0, 0, 0, 0, 2/3, 1/3}, 
   {2/3, 2/9, 0, 4/9, 0, 0, 2/9, 0, 1/9}, {2/3, 0, 0, 2/3, 2/9, 0, 0, 0, 
    1/3}, {1, 1, 0, 0, 0, 4/9, 0, 5/9, 1/9}, {0, 0, 1, 2/3, 2/3, 0, 1/3, 0, 
    0}, {0, 0, 1, 0, 4/9, 0, 1, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/5, 0, 0, 3/5, 2/5, 0, 2/5}, {0, 0, 4/5, 0, 0, 3/5, 0, 0, 2/5}, 
   {1/5, 0, 0, 2/5, 4/5, 0, 2/5, 2/5, 0}, {3/5, 4/5, 3/5, 0, 0, 0, 0, 0, 0}, 
   {3/5, 3/5, 0, 0, 1/5, 3/5, 0, 2/5, 0}, {0, 0, 3/5, 3/5, 4/5, 0, 0, 0, 
    4/5}, {2/5, 1/5, 0, 3/5, 0, 2/5, 0, 0, 0}, {2/5, 3/5, 0, 1/5, 0, 0, 0, 0, 
    2/5}, {0, 0, 3/5, 0, 0, 1/5, 2/5, 2/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1, 0}, 
   {0, 1/2, 1, 1, 0, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/4, 0, 3/4, 0, 1/4, 1/4}, {1/4, 0, 0, 1/4, 0, 1, 0, 0, 1/4}, 
   {0, 1/2, 1/2, 0, 1/4, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/4, 0, 0, 3/4}, 
   {3/4, 0, 0, 0, 1/2, 0, 1/4, 1/2, 0}, {1/4, 0, 0, 1/2, 1/2, 0, 1/4, 0, 0}, 
   {0, 1/4, 1/4, 1/4, 0, 3/4, 1, 3/4, 0}, {1/4, 0, 0, 3/4, 1, 0, 0, 0, 1/2}, 
   {1/4, 1/2, 0, 1/4, 1/2, 0, 1/4, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/7, 6/7, 0, 0, 0, 6/7, 0, 0, 0}, {0, 4/7, 0, 2/7, 0, 6/7, 2/7, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/7, 0, 6/7}, {0, 0, 2/7, 3/7, 5/7, 0, 0, 2/7, 1/7}, 
   {4/7, 0, 6/7, 0, 0, 1/7, 1/7, 5/7, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1/7}, 
   {2/7, 2/7, 0, 0, 0, 1, 2/7, 0, 1/7}, {0, 4/7, 0, 2/7, 0, 1, 0, 0, 3/7}, 
   {0, 0, 0, 1/7, 3/7, 0, 5/7, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/5, 3/5, 0, 0, 0, 0, 1, 1}, {1/5, 0, 2/5, 4/5, 4/5, 0, 1/5, 0, 0}, 
   {1, 2/5, 0, 0, 0, 0, 3/5, 0, 2/5}, {0, 1/5, 1, 0, 0, 4/5, 1, 0, 0}, 
   {1, 2/5, 0, 0, 0, 0, 0, 1, 3/5}, {1/5, 0, 4/5, 1/5, 3/5, 3/5, 1/5, 0, 
    2/5}, {0, 2/5, 0, 0, 0, 0, 2/5, 0, 0}, {0, 2/5, 2/5, 2/5, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/5, 2/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 4/5, 0, 2/5, 4/5, 0, 0, 2/5, 0}, {0, 2/5, 2/5, 0, 0, 0, 0, 2/5, 2/5}, 
   {0, 0, 4/5, 2/5, 0, 4/5, 2/5, 0, 0}, {1, 0, 1/5, 0, 0, 1/5, 2/5, 0, 0}, 
   {1, 0, 3/5, 0, 0, 3/5, 0, 0, 0}, {0, 1/5, 0, 1/5, 1, 0, 4/5, 0, 0}, 
   {0, 3/5, 0, 0, 0, 1/5, 0, 2/5, 4/5}, {1, 0, 1, 3/5, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 2/5, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1, 1/2, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/3, 0, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 0, 1/3, 1/3, 1/3, 0}, {1/3, 1/3, 0, 2/3, 0, 1/3, 1/3, 0, 
    1/3}, {0, 1, 2/3, 2/3, 2/3, 0, 0, 2/3, 0}, {2/3, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 1/3, 2/3, 0, 1/3}, {1, 0, 0, 0, 1, 0, 0, 1/3, 0}, 
   {0, 2/3, 2/3, 1/3, 0, 1, 0, 1/3, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/3, 1/3, 0, 2/3, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3, 1}, {0, 0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, 
   {2/3, 1, 0, 0, 2/3, 0, 2/3, 0, 0}, {1/3, 0, 0, 0, 0, 0, 1/3, 1, 0}, 
   {1/3, 1/3, 0, 1, 1/3, 0, 0, 0, 0}, {0, 0, 1/3, 0, 0, 1/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 3/5, 1, 0, 0, 3/5, 0}, 
   {2/5, 0, 0, 0, 1/5, 1/5, 0, 3/5}, {0, 0, 2/5, 0, 2/5, 0, 4/5, 0}, 
   {0, 4/5, 0, 0, 0, 0, 0, 2/5}, {0, 0, 0, 2/5, 3/5, 2/5, 3/5, 0}, 
   {2/5, 0, 1/5, 1/5, 0, 3/5, 0, 3/5}, {0, 2/5, 0, 0, 3/5, 2/5, 3/5, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1/3, 2/3, 0, 1/3, 0, 0, 0, 0, 1}, 
   {1/3, 0, 2/3, 1, 0, 0, 0, 2/3, 1/3}, {0, 2/3, 0, 0, 1/3, 1, 1/3, 0, 0}, 
   {0, 0, 2/3, 0, 1/3, 0, 0, 2/3, 2/3}, {1/3, 0, 0, 2/3, 1/3, 0, 0, 1, 0}, 
   {2/3, 0, 2/3, 0, 0, 1/3, 1/3, 0, 1/3}, {2/3, 0, 0, 0, 2/3, 1, 0, 1/3, 
    1/3}, {0, 2/3, 0, 1/3, 1/3, 0, 1, 0, 0}, {0, 1/3, 1/3, 1/3, 0, 1/3, 1/3, 
    0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1/2, 0, 1, 1, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 3/4, 1/2, 0, 0, 1/4, 0, 1/2, 1/4}, 
   {3/4, 0, 1, 1/4, 1/4, 0, 1, 0, 1}, {0, 0, 0, 0, 3/4, 1, 0, 1/4, 0}, 
   {0, 3/4, 0, 0, 0, 1/4, 1/4, 0, 1/4}, {1/2, 0, 0, 1, 1/4, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 1/4, 0, 0, 0, 1/4}, {1/2, 0, 0, 3/4, 0, 0, 1/4, 0, 0}, 
   {0, 0, 0, 3/4, 1/2, 0, 1/4, 0, 0}, {3/4, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 
    0}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 1/3, 0, 0, 1, 1/3}, {0, 0, 1/3, 0, 1, 1/3, 0, 0}, 
   {0, 2/3, 0, 1, 0, 1/3, 2/3, 0}, {2/3, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 2/3, 1, 0, 1, 0, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 1, 0, 0}, {1/2, 0, 1, 1, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/3, 0, 0, 1/3, 0, 1/3, 0, 1/3, 1/3}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 1/3, 
    0}, {2/3, 1/3, 0, 0, 0, 1/3, 0, 0, 0}, {0, 2/3, 2/3, 0, 0, 1/3, 0, 0, 
    1/3}, {0, 1/3, 2/3, 0, 1/3, 1/3, 0, 0, 0}, {1/3, 0, 0, 0, 1, 0, 2/3, 1/3, 
    0}, {0, 0, 0, 1/3, 1/3, 0, 0, 1/3, 1}, {0, 0, 0, 1, 0, 1, 1/3, 1/3, 0}, 
   {1/3, 0, 2/3, 1/3, 0, 0, 1/3, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1/2, 1, 0, 1/2, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 1/2, 0, 1}, {0, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1, 1/2}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1/2}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1/2, 1, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 1, 1/2, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, {1, 0, 1/2, 0, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1, 0, 1/3, 0, 0, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 0, 2/3}, {1/3, 2/3, 0, 1/3, 0, 0, 2/3, 0}, 
   {0, 1, 1/3, 0, 1, 0, 0, 2/3}, {1/3, 0, 0, 1, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 2/3, 2/3, 0, 2/3, 0, 0}, {0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 1, 0, 0, 1, 1/2, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1/2, 0, 0, 0}, {1, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 0, 0, 1/3, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1/3, 0, 0, 0, 0, 0}, {0, 0, 0, 1/3, 1, 0, 0, 1, 0}, 
   {1/3, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 2/3, 0, 0, 0, 1, 1/3, 0, 2/3}, 
   {0, 0, 0, 0, 1/3, 0, 1, 0, 1}, {0, 1/3, 0, 0, 0, 2/3, 1/3, 0, 2/3}, 
   {1/3, 0, 0, 1, 0, 1, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 1, 0}, {1, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 1, 1/3, 0, 0}, 
   {2/3, 0, 0, 1, 0, 0, 0, 1/3, 1}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 1, 1, 0, 1/3, 1/3}, {0, 0, 0, 1, 0, 0, 1, 2/3, 0}, 
   {0, 2/3, 2/3, 0, 1/3, 1/3, 0, 1/3, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 1/2, 0, 0}, 
   {1, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 5/6, 1/3, 0, 1/6, 0}, 
   {0, 1, 0, 1/3, 0, 1/2, 2/3, 0, 0}, {0, 1/6, 1, 0, 1/3, 0, 0, 1/2, 0}, 
   {1/3, 1, 0, 0, 1/3, 0, 0, 1/3, 1/2}, {0, 0, 2/3, 1/2, 0, 1/2, 1/2, 0, 
    1/3}, {0, 1/2, 1/6, 1/6, 1/2, 0, 1/3, 0, 5/6}, 
   {1/6, 0, 0, 1/6, 1/2, 0, 1/2, 1/3, 0}, {1, 0, 1/3, 1/3, 0, 0, 0, 0, 1/6}, 
   {2/3, 0, 0, 0, 0, 0, 0, 1/3, 1/6}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1, 1, 0, 1/2, 0}, {1, 0, 1/2, 1, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 1, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 0, 0, 1, 1, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 1, 0, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1, 1, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 1/3, 0, 2/3, 2/3, 0, 0, 1/3}, {1/3, 0, 0, 2/3, 0, 1, 1/3, 0}, 
   {0, 1, 0, 0, 2/3, 0, 0, 1}, {0, 1/3, 2/3, 0, 2/3, 1, 1, 0}, 
   {1/3, 0, 2/3, 2/3, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 1}, {0, 0, 1, 1, 0, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {1, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1/2, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 0, 1, 0, 1}, 
   {1/2, 0, 1, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1, 0, 1, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 1/2, 1/2, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 1, 0, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 1, 0, 0, 0}, {1/3, 0, 1, 1/3, 1/3, 0, 2/3, 0, 2/3}, 
   {0, 1/3, 0, 2/3, 1, 0, 0, 0, 0}, {1/3, 0, 2/3, 1/3, 0, 0, 0, 0, 1/3}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0, 2/3}, {2/3, 1, 0, 1/3, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 0, 1/3, 2/3, 2/3, 0}, {0, 0, 0, 0, 1/3, 0, 1/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 2/3, 0, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 0, 1/3, 2/3, 2/3, 0}, {0, 2/3, 2/3, 0, 0, 0, 1/3, 1/3, 0}, 
   {0, 0, 1, 1/3, 1, 0, 1, 0, 0}, {0, 1/3, 0, 0, 2/3, 1, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 0, 0, 1, 2/3}, {1/3, 0, 1/3, 0, 0, 1, 0, 0, 2/3}, 
   {2/3, 1, 0, 1, 1/3, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 2/3, 0, 1/3, 0, 1, 0, 0, 1}, {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 1, 0, 0, 0, 1}, {2/3, 0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 2/3, 1/3, 0, 1, 1/3, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 1, 0, 1/3, 0, 1}, {0, 0, 1/3, 0, 1, 0, 1, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, {0, 0, 2/3, 1, 0, 0, 1/3, 0}, 
   {0, 0, 1/3, 0, 1/3, 1/3, 0, 1}, {2/3, 0, 0, 1, 0, 0, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1/2, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 1/2, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1/3, 2/3, 2/3, 0, 0}, {1/3, 1, 0, 1/3, 0, 1/3, 0, 0, 0}, 
   {2/3, 0, 1/3, 0, 1, 0, 0, 0, 0}, {2/3, 0, 1, 1, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 1/3, 2/3, 1/3, 0, 1/3, 0, 1/3}, {1/3, 1, 0, 0, 1, 0, 0, 1/3, 2/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 1/3, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 0, 1/3, 2/3}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1/2}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/7, 0, 0, 2/7, 2/7, 0, 0, 3/7}, {2/7, 5/7, 0, 0, 2/7, 0, 0, 0, 1/7}, 
   {1/7, 0, 1/7, 2/7, 0, 0, 1/7, 5/7, 0}, {0, 5/7, 0, 0, 5/7, 1, 0, 0, 0}, 
   {0, 1/7, 2/7, 0, 5/7, 5/7, 0, 0, 4/7}, {5/7, 0, 5/7, 5/7, 0, 0, 6/7, 2/7, 
    0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 6/7, 0, 1, 0, 0, 0, 0, 1/7}, 
   {4/7, 0, 6/7, 0, 1, 1, 3/7, 3/7, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {1, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 1/2, 0}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/3, 0, 2/3, 0, 1, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 2/3, 2/3, 0, 1/3}, {1, 0, 0, 2/3, 0, 2/3, 0, 0, 1/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, {0, 0, 2/3, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, {1, 2/3, 0, 0, 0, 0, 1, 1/3, 0}, 
   {0, 1, 1, 0, 0, 2/3, 0, 0, 1/3}, {1, 0, 0, 0, 2/3, 0, 1/3, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 0, 1, 0, 1/2, 1/2, 1/2, 0, 1}, {0, 1/2, 0, 1, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 
    1/2}, {0, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 1, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1, 0, 1/2}, {0, 1/2, 1/2, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 1/2, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 1, 1, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1/2, 3/4}, 
   {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1, 0, 1/4}, 
   {1, 0, 0, 0, 1/4, 0, 0, 1, 1/2}, {0, 1/2, 3/4, 1/4, 0, 0, 3/4, 1/4, 0}, 
   {0, 1/2, 0, 1, 3/4, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/4, 1/2, 0, 0, 1/4}, 
   {0, 1/2, 1/2, 0, 1/4, 0, 0, 0, 0}, {1/4, 1/2, 0, 1/4, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1}, {1/2, 1, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{7/9, 1/3, 0, 0, 4/9, 4/9, 0, 1/9, 1/9}, {2/3, 4/9, 5/9, 0, 2/9, 0, 1/9, 
    0, 0}, {0, 0, 5/9, 2/9, 0, 0, 1, 0, 4/9}, {0, 2/9, 7/9, 0, 0, 2/9, 0, 
    7/9, 1/3}, {5/9, 5/9, 0, 8/9, 0, 0, 5/9, 0, 0}, 
   {2/9, 0, 5/9, 2/9, 0, 2/9, 0, 1/3, 1/3}, {0, 2/9, 0, 2/9, 0, 0, 0, 4/9, 
    4/9}, {0, 2/9, 0, 0, 4/9, 4/9, 2/9, 0, 0}, {0, 0, 4/9, 0, 2/9, 0, 4/9, 
    4/9, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 0, 0, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1}, {1, 0, 1, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1/3, 1, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 1, 1/3, 1, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 1/3, 1, 0, 1/3, 1/3, 0}, {2/3, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 2/3, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 1, 0, 0, 0, 3/5, 0, 1/5, 1/5}, {0, 0, 1/5, 0, 0, 0, 1, 0, 0}, 
   {0, 3/5, 4/5, 0, 3/5, 0, 0, 2/5, 3/5}, {2/5, 1, 0, 0, 0, 0, 4/5, 0, 4/5}, 
   {3/5, 0, 4/5, 0, 0, 0, 0, 1, 0}, {0, 0, 1/5, 3/5, 0, 0, 0, 3/5, 1}, 
   {2/5, 1, 0, 0, 0, 0, 1/5, 4/5, 0}, {3/5, 0, 4/5, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1}, {0, 1/2, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1}, {1, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1, 1, 0, 1, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1/2, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1, 1/2}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1, 1, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 1, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 1}, {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 1, 0, 0, 1/2, 1}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 1}, {0, 0, 0, 1, 1/2, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 1/2, 0, 1, 0, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{3/5, 1, 0, 0, 4/5, 4/5, 0, 2/5, 1/5}, 
   {0, 0, 1, 4/5, 0, 0, 1/5, 1/5, 0}, {1, 1, 0, 0, 0, 4/5, 0, 0, 1}, 
   {0, 2/5, 0, 0, 2/5, 2/5, 2/5, 0, 0}, {2/5, 0, 0, 0, 4/5, 0, 0, 0, 0}, 
   {2/5, 4/5, 0, 0, 0, 0, 4/5, 0, 0}, {0, 0, 1, 0, 2/5, 4/5, 0, 0, 1/5}, 
   {3/5, 1, 0, 4/5, 0, 0, 1/5, 1, 0}, {2/5, 0, 1, 0, 0, 4/5, 0, 0, 1/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1/2, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 1/2, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 1/3, 0, 1, 0, 1/3, 0}, 
   {0, 1, 1/3, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1/3, 0, 0, 0, 1, 0}, 
   {0, 1/3, 0, 0, 0, 0, 2/3, 1/3, 0}, {0, 2/3, 1/3, 0, 1/3, 2/3, 0, 0, 0}, 
   {0, 0, 1/3, 0, 1/3, 0, 1, 0, 0}, {2/3, 0, 1/3, 1/3, 0, 1/3, 0, 0, 2/3}, 
   {0, 1, 0, 2/3, 1, 0, 1/3, 1, 0}, {1, 0, 1/3, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/3, 0, 1, 1/3, 0, 0}, {1, 0, 1, 1, 1, 0, 1/3, 0, 0}, 
   {2/3, 1/3, 0, 0, 0, 1/3, 0, 2/3, 2/3}, {1/3, 2/3, 0, 0, 1/3, 0, 0, 1/3, 
    1/3}, {0, 1, 0, 1/3, 1, 0, 0, 0, 1/3}, {1, 0, 1/3, 0, 0, 1, 2/3, 0, 0}, 
   {0, 0, 0, 1/3, 2/3, 0, 2/3, 0, 0}, {0, 0, 2/3, 1/3, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 1}, {1, 0, 0, 0, 1/2, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1/3, 0}, 
   {0, 0, 1, 1/3, 0, 0, 1/3, 2/3}, {0, 2/3, 0, 0, 1/3, 1, 0, 1}, 
   {0, 0, 0, 2/3, 1, 0, 1, 0}, {2/3, 0, 1/3, 1/3, 0, 1/3, 0, 1/3}, 
   {0, 0, 0, 0, 1/3, 2/3, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 1, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 1/2, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 1/3, 1/3, 0, 0, 0, 0, 2/3}, {2/3, 0, 1/3, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 0, 2/3, 1/3}, {1/3, 1/3, 0, 0, 0, 2/3, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {2/3, 0, 1/3, 0, 1/3, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1/3, 0, 1/3}, {0, 0, 1/3, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1, 0, 1/2, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/3, 0, 1, 1/3}, {0, 2/3, 0, 1/3, 0, 1/3, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {2/3, 0, 1/3, 0, 1/3, 1, 0, 0}, 
   {0, 2/3, 2/3, 1/3, 2/3, 0, 1/3, 1/3}, {0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 1, 1, 0, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 3/4, 1/2, 1/2, 0, 3/4, 1/4, 1/4, 0}, 
   {3/4, 0, 3/4, 0, 1, 1/4, 0, 0, 1/4}, {1/2, 1/4, 0, 3/4, 3/4, 0, 1/2, 0, 
    1/4}, {3/4, 0, 0, 3/4, 0, 1/4, 1/2, 0, 1/4}, 
   {1/4, 1/2, 0, 0, 1/4, 0, 1/4, 1/4, 0}, {0, 3/4, 1/4, 0, 3/4, 0, 0, 0, 
    1/4}, {0, 0, 1/4, 1/4, 0, 1/2, 0, 0, 1/2}, {1/4, 1/4, 0, 0, 1/4, 3/4, 0, 
    0, 0}, {0, 0, 3/4, 1/4, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 1/2, 0}, {0, 1/2, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 1, 0, 1/2}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1, 0, 1, 0, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1/2, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1}, {1/2, 0, 1/2, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 1, 0, 1/2, 1}, {0, 0, 0, 1/2, 1/2, 1/2, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 1, 1, 1/3, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 2/3, 0, 1/3, 0, 1/3, 1/3, 0}, 
   {0, 0, 1, 0, 1/3, 0, 2/3, 1}, {0, 0, 2/3, 1, 0, 1/3, 1, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 2/3, 0}, {0, 1/3, 0, 1/3, 0, 1, 0, 0, 2/3}, 
   {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, {0, 1, 0, 0, 1, 0, 0, 2/3, 0}, 
   {1/3, 0, 1, 1/3, 0, 1, 2/3, 0, 0}, {0, 1, 0, 2/3, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 1/3, 0, 2/3, 0, 1, 2/3}, 
   {2/3, 1/3, 0, 0, 1/3, 0, 0, 0, 1/3}, {0, 1/3, 2/3, 0, 2/3, 0, 0, 1/3, 0}, 
   {1/3, 2/3, 1/3, 0, 0, 0, 1/3, 0, 0}, {0, 0, 0, 1/3, 0, 1/3, 1, 0, 1/3}, 
   {1/3, 0, 0, 1/3, 0, 1/3, 0, 2/3, 0}, {0, 0, 1/3, 1/3, 0, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 2/3, 0, 0, 0, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1}, {1, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1, 0, 1/2, 1, 0}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 1, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 1, 0, 2/3, 0}, {0, 1, 0, 0, 0, 0, 1/3, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 2/3, 0, 1}, {2/3, 0, 0, 1/3, 1, 0, 0, 1, 0}, 
   {1/3, 0, 1, 0, 1/3, 0, 1/3, 0, 1/3}, {0, 1/3, 0, 0, 0, 1/3, 1/3, 1, 0}, 
   {0, 0, 1/3, 0, 1/3, 1/3, 0, 1, 0}, {1, 0, 0, 0, 1/3, 0, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1, 1/2, 1, 0, 1, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 2/3, 1, 0, 0}, 
   {1/3, 1/3, 0, 0, 2/3, 1/3, 0, 0, 0}, {1, 0, 0, 1/3, 0, 0, 0, 1/3, 2/3}, 
   {1/3, 0, 1/3, 1/3, 1/3, 0, 0, 0, 1/3}, {0, 1/3, 1, 2/3, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 1/3, 0, 0, 0, 1}, {0, 2/3, 1, 0, 0, 1/3, 0, 1/3, 1}, 
   {0, 2/3, 2/3, 1/3, 2/3, 0, 1/3, 0, 1/3}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 1/3, 0, 1/3, 0, 0, 0}, 
   {0, 0, 1/3, 0, 2/3, 0, 1/3, 0, 0}, {0, 2/3, 2/3, 2/3, 0, 0, 1/3, 1/3, 0}, 
   {1, 1/3, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 1/3, 2/3, 1/3, 2/3, 0, 1/3, 0}, 
   {0, 2/3, 1, 0, 0, 2/3, 0, 0, 1/3}, {1/3, 0, 0, 0, 2/3, 0, 0, 2/3, 2/3}, 
   {1, 1/3, 0, 0, 1/3, 0, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 1, 0, 0, 2/3}, {0, 0, 0, 0, 0, 1, 0, 2/3, 2/3}, 
   {1/3, 0, 0, 2/3, 1/3, 0, 1, 1/3, 0}, {0, 0, 1/3, 0, 0, 2/3, 1, 1/3, 0}, 
   {0, 0, 0, 0, 1/3, 1, 1, 2/3, 0}, {0, 1/3, 0, 1, 2/3, 0, 0, 0, 1}, 
   {2/3, 0, 1/3, 0, 0, 1/3, 0, 0, 2/3}, {0, 1/3, 0, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 1/3, 0, 0, 2/3, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 1, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 0}, {1, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 2/3, 2/3, 0, 1, 0, 1/3}, {0, 1, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 1, 2/3}, {0, 1/3, 0, 0, 2/3, 1/3, 0, 1/3}, 
   {1/3, 0, 2/3, 2/3, 0, 0, 1, 2/3}, {1/3, 0, 0, 0, 2/3, 2/3, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/3, 2/3, 0, 0, 0, 1, 0, 1/3, 1/3}, 
   {2/3, 1, 0, 1/3, 0, 0, 1, 0, 0}, {0, 0, 0, 1/3, 0, 1, 0, 1, 1}, 
   {0, 0, 2/3, 0, 0, 0, 0, 1/3, 0}, {1/3, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 2/3, 0, 1/3, 0, 2/3, 0, 1/3}, 
   {1/3, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 1/2, 1}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1, 0, 1/2, 0, 1/2, 
    1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 
    0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1, 0, 1/2, 1, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 1/2, 1, 0, 1, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 1, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 1, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 0, 1/2, 1/2, 0, 1, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 1/3, 1/3, 0, 0, 2/3, 1/3, 0}, {1/3, 1/3, 1/3, 1/3, 2/3, 0, 0, 1/3, 
    0}, {2/3, 0, 1/3, 2/3, 2/3, 0, 0, 0, 1/3}, {1/3, 1, 0, 0, 0, 0, 2/3, 2/3, 
    0}, {0, 2/3, 0, 1/3, 1/3, 0, 0, 0, 2/3}, {0, 1/3, 1/3, 1/3, 0, 0, 0, 1/3, 
    2/3}, {2/3, 0, 1, 0, 0, 2/3, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 1/2, 0, 1, 1/2, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 5/9, 1, 0, 1/3, 1/3}, {0, 2/9, 0, 1/3, 0, 0, 1, 2/9, 0}, 
   {2/9, 0, 0, 1/3, 0, 4/9, 1/3, 0, 2/9}, {0, 2/9, 4/9, 1, 4/9, 0, 0, 1/3, 
    5/9}, {2/3, 0, 0, 0, 7/9, 1, 1/3, 0, 0}, {0, 0, 2/9, 0, 7/9, 5/9, 1, 0, 
    2/9}, {4/9, 0, 0, 2/3, 2/9, 0, 0, 0, 0}, {0, 0, 2/9, 4/9, 0, 4/9, 0, 2/9, 
    0}, {0, 0, 2/3, 0, 0, 0, 0, 2/3, 4/9}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1/2, 0, 1, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1/2, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1/2, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 2/3, 0, 1/3, 0, 2/3, 0, 1/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 2/3, 1/3, 2/3, 0, 1/3, 0, 0}, 
   {1/3, 1, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 1/3, 1/3, 0, 2/3, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 1/3, 0, 0, 1/3, 0}, {0, 0, 0, 0, 0, 0, 1, 1/3, 1/3}, 
   {1/3, 0, 1/3, 0, 1, 0, 0, 0, 1/3}, {1/3, 1/3, 0, 0, 0, 1/3, 2/3, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1/2}, {1, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1/2, 0, 1, 1/2, 0, 0, 1, 0, 0}, {1, 1, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 1, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1, 0, 1, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 1, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 0, 1, 0}, {1, 0, 0, 1/2, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 1, 0, 0}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {2/3, 0, 0, 1, 0, 0, 1, 1/3, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {2/3, 0, 0, 0, 1, 1, 0, 2/3, 1}, 
   {0, 0, 2/3, 1/3, 0, 2/3, 0, 0, 1/3}, {0, 0, 0, 1, 0, 0, 0, 2/3, 1}, 
   {0, 0, 0, 0, 1/3, 1, 1, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1, 1}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1, 1/2, 1/2, 1, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 4/5, 0, 0, 0, 0, 2/5, 0, 4/5}, 
   {2/5, 0, 0, 0, 4/5, 0, 0, 0, 0}, {3/5, 0, 1, 1, 1/5, 0, 0, 0, 0}, 
   {3/5, 0, 3/5, 1, 1/5, 0, 0, 0, 2/5}, {2/5, 1, 0, 0, 0, 1, 0, 2/5, 0}, 
   {0, 1, 2/5, 3/5, 1/5, 0, 0, 2/5, 0}, {1/5, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1/5, 0, 2/5, 2/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 1/2, 1, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 1/2, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 6/7, 6/7, 0, 2/7, 0, 0}, {6/7, 6/7, 0, 0, 0, 0, 0, 0, 6/7}, 
   {0, 0, 6/7, 0, 0, 5/7, 0, 1/7, 1/7}, {0, 0, 0, 1/7, 1/7, 0, 1, 6/7, 0}, 
   {0, 2/7, 4/7, 2/7, 0, 3/7, 0, 3/7, 1/7}, {0, 0, 0, 0, 0, 1, 3/7, 0, 0}, 
   {0, 0, 2/7, 0, 0, 1/7, 1/7, 0, 6/7}, {2/7, 0, 0, 1/7, 3/7, 0, 0, 1/7, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 1/2, 1, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 0, 1, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 3/4, 0, 3/4, 0}, 
   {3/4, 0, 1/2, 1/4, 0, 0, 0, 0, 1/4}, {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/4, 1/2, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 1/4, 1/2, 1, 0, 
    1}, {0, 3/4, 1/4, 1/4, 0, 1/4, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1/4, 0}, 
   {0, 1/2, 0, 1/4, 1/4, 0, 1/2, 0, 1/4}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 0, 1, 1, 0}, {1/2, 0, 0, 1, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 1}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 1, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1, 1/2, 0, 0, 1}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 2/3, 1/3, 0}, 
   {0, 2/3, 0, 0, 0, 0, 1/3, 0}, {0, 1, 2/3, 2/3, 0, 1/3, 1/3, 0}, 
   {1, 0, 0, 0, 2/3, 0, 0, 1/3}, {0, 1/3, 0, 0, 0, 1, 1/3, 2/3}, 
   {0, 1/3, 0, 0, 2/3, 0, 1/3, 1/3}, {1/3, 0, 0, 2/3, 0, 1/3, 0, 2/3}, 
   {1, 0, 0, 2/3, 0, 1/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 2/3, 0, 0}, 
   {0, 1/3, 2/3, 2/3, 2/3, 1/3, 0, 2/3, 0}, {2/3, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/3, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1/3, 0, 1, 1/3, 0, 0, 2/3, 2/3}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/4, 1/2, 1/4, 0, 3/4, 0, 0, 1/4}, {0, 3/4, 1/4, 1/2, 0, 3/4, 0, 0, 
    0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1/4, 3/4, 0, 1/4, 0, 
    1/2}, {1/4, 0, 1/2, 0, 0, 0, 0, 1/4, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1/4, 
    1/4, 0}, {1/2, 0, 0, 0, 1/4, 1/4, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 1/4, 0}, {3/4, 0, 0, 0, 0, 0, 1/4, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1/3, 0, 1/3, 2/3, 0, 0}, 
   {0, 2/3, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 2/3, 0, 2/3, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 0, 1/3, 2/3, 1, 0, 0, 2/3, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 2/3, 0}, {1, 1/3, 0, 1, 0, 1/3, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1/2, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1, 0, 1, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 1/3, 0, 0, 1, 0, 0, 1/3, 2/3}, 
   {1, 1, 0, 2/3, 1, 0, 0, 0, 0}, {0, 0, 1, 2/3, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 1, 0}, {1, 2/3, 0, 2/3, 0, 1, 0, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 1/3, 0}, {0, 1/3, 0, 0, 0, 0, 1/3, 0, 1/3}, 
   {1/3, 1/3, 0, 1/3, 0, 1/3, 0, 0, 0}, {0, 0, 1/3, 0, 1/3, 0, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {1/3, 1/3, 0, 1/3, 2/3, 0, 0, 1/3}, 
   {2/3, 0, 1/3, 0, 1, 2/3, 0, 1}, {0, 0, 0, 1, 0, 1/3, 1, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 0, 1}, {0, 0, 1/3, 0, 1, 1/3, 1, 0}, 
   {0, 0, 2/3, 1, 0, 2/3, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 2/3, 0, 0, 0, 1/3}, {0, 0, 1/3, 1/3, 1/3, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 0, 0, 0, 1/3, 1, 0}, {1/3, 0, 1/3, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {1/3, 1/3, 0, 2/3, 0, 2/3, 0, 0, 1}, {2/3, 0, 1/3, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 0, 1/3, 2/3, 0, 1, 1/3, 0, 0}, {0, 0, 0, 2/3, 0, 1, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 1/3, 0, 1/3, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/7, 4/7, 0, 0, 0, 0, 4/7, 0, 6/7}, {0, 0, 0, 0, 4/7, 6/7, 0, 0, 0}, 
   {6/7, 1, 0, 0, 0, 1/7, 2/7, 0, 0}, {0, 1/7, 0, 4/7, 0, 3/7, 0, 4/7, 0}, 
   {1/7, 0, 3/7, 5/7, 1/7, 0, 0, 2/7, 0}, {1/7, 0, 1, 0, 0, 1/7, 2/7, 0, 
    2/7}, {0, 1/7, 0, 1, 3/7, 0, 0, 6/7, 0}, {1/7, 0, 5/7, 2/7, 2/7, 1/7, 0, 
    0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{3/7, 0, 5/7, 0, 5/7, 3/7, 0, 0, 0}, {0, 1/7, 2/7, 3/7, 0, 0, 0, 0, 4/7}, 
   {0, 1/7, 0, 5/7, 0, 0, 0, 0, 6/7}, {1/7, 0, 3/7, 1/7, 2/7, 0, 2/7, 6/7, 
    0}, {1/7, 0, 1/7, 1/7, 0, 0, 4/7, 6/7, 0}, {0, 1, 0, 0, 1, 5/7, 0, 0, 
    2/7}, {0, 0, 0, 4/7, 0, 2/7, 2/7, 0, 2/7}, {2/7, 6/7, 0, 0, 0, 0, 2/7, 
    2/7, 0}, {4/7, 0, 2/7, 0, 0, 0, 4/7, 0, 6/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1/2, 0, 0, 0, 1}, 
   {1, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 1/3, 0, 1/3, 0, 2/3, 1/3}, 
   {2/3, 1/3, 0, 1/3, 0, 0, 2/3, 0, 0}, {0, 1/3, 2/3, 0, 0, 0, 0, 1, 2/3}, 
   {0, 0, 0, 1/3, 2/3, 0, 1/3, 1, 0}, {0, 1/3, 1, 0, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 0, 2/3, 0, 1/3, 2/3}, {0, 0, 1/3, 0, 1/3, 2/3, 1, 0, 0}, 
   {1, 1/3, 0, 1/3, 2/3, 0, 0, 0, 1}, {0, 1/3, 2/3, 0, 0, 1/3, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 0, 0, 0, 0, 0, 1/3, 1}, 
   {0, 0, 1/3, 2/3, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 2/3, 2/3, 0, 1/3, 1/3}, 
   {1, 1, 0, 0, 2/3, 0, 1, 2/3, 0}, {2/3, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 1, 1, 1/2, 0, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 1/2, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 1, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}, {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1/2, 1, 0, 1/2, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 1/2, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 0, 1, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 1, 0, 1/2}, {0, 1/2, 1, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 1/2}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 0, 1/2, 1, 0, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{3/5, 3/5, 0, 0, 3/5, 4/5, 0, 1/5, 3/5}, {0, 1/5, 1/5, 0, 0, 0, 3/5, 0, 
    4/5}, {0, 0, 1, 0, 2/5, 0, 3/5, 0, 0}, {0, 0, 1/5, 2/5, 2/5, 0, 0, 1/5, 
    3/5}, {1/5, 0, 1/5, 2/5, 1/5, 0, 0, 1/5, 2/5}, 
   {3/5, 3/5, 0, 0, 0, 0, 3/5, 0, 0}, {0, 0, 2/5, 0, 0, 2/5, 0, 2/5, 2/5}, 
   {0, 0, 0, 2/5, 0, 3/5, 0, 4/5, 0}, {2/5, 3/5, 0, 2/5, 0, 0, 0, 4/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {0, 1, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1/2}, {1, 0, 0, 0, 1, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 2/3, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 2/3, 0, 2/3, 0, 2/3, 1}, {1, 1/3, 0, 2/3, 2/3, 0, 1/3, 1/3, 0}, 
   {2/3, 0, 1, 0, 0, 0, 1/3, 1/3, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1/3, 0, 0, 0, 2/3, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 0, 1, 1/2, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 1, 1/2, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 1, 0, 3/5, 0, 2/5, 0, 0}, 
   {3/5, 0, 0, 0, 0, 1/5, 2/5, 0, 4/5}, {3/5, 0, 0, 0, 2/5, 3/5, 0, 0, 2/5}, 
   {1, 3/5, 0, 0, 0, 0, 2/5, 2/5, 0}, {0, 0, 0, 1, 2/5, 0, 0, 0, 4/5}, 
   {0, 0, 0, 1, 0, 4/5, 0, 2/5, 0}, {0, 0, 3/5, 0, 3/5, 1, 0, 0, 0}, 
   {0, 3/5, 3/5, 0, 0, 1, 0, 0, 2/5}, {1/5, 0, 0, 3/5, 1/5, 0, 2/5, 4/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1/2, 0}, {1/2, 0, 1, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 0, 2/3, 0, 0}, {0, 1/3, 1/3, 0, 1/3, 0, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 2/3, 2/3}, {1/3, 0, 1, 0, 1, 0, 0, 2/3}, 
   {0, 1, 2/3, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 1/3, 0, 0, 0, 1/3, 2/3, 0}, 
   {0, 0, 0, 0, 1/3, 1, 0, 1/3, 2/3}, {1/3, 1/3, 0, 0, 1/3, 1, 0, 0, 1/3}, 
   {2/3, 0, 1, 0, 0, 0, 0, 2/3, 0}, {1/3, 1, 0, 1/3, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 2/3, 1/3}, {0, 0, 1/3, 0, 1/3, 1/3, 2/3, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {1, 1/2, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {1/2, 1, 0, 1, 1, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/4, 3/4, 0, 0, 1/2, 1/4, 0, 0, 0}, {0, 0, 0, 3/4, 3/4, 0, 1/4, 0, 0}, 
   {0, 3/4, 1/4, 0, 0, 0, 1/4, 3/4, 0}, {0, 0, 1/4, 3/4, 0, 1, 0, 0, 1/4}, 
   {0, 0, 0, 1/4, 0, 0, 0, 1, 1/4}, {1/4, 0, 1/4, 0, 1/4, 0, 0, 3/4, 0}, 
   {0, 1/4, 0, 0, 1/4, 0, 3/4, 0, 3/4}, {3/4, 0, 1/2, 1/4, 0, 1, 0, 1/4, 0}, 
   {0, 0, 1/4, 0, 1/4, 1/4, 1/2, 0, 3/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1, 1}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 1, 0, 1/3, 0, 1/3, 0}, {0, 0, 0, 1, 0, 1/3, 0, 1}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 1, 0, 2/3, 1, 0}, {2/3, 0, 2/3, 1, 0, 0, 1/3, 0}, 
   {0, 2/3, 1, 0, 1/3, 1/3, 0, 1/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 1}, {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1/2, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, {0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1/2, 1, 0, 1, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1, 1/3, 0, 0, 0}, {1, 1, 0, 1/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, {1/3, 1/3, 0, 0, 1, 1/3, 0, 2/3, 2/3}, 
   {2/3, 0, 1/3, 1/3, 0, 2/3, 2/3, 0, 0}, {0, 0, 1/3, 1, 0, 2/3, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 2/3, 0, 1/3, 0}, 
   {0, 1/3, 1, 0, 2/3, 0, 1, 0, 1/3}, {0, 2/3, 1, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 1, 0, 0, 2/3, 0}, {0, 2/3, 0, 2/3, 0, 0, 1, 0, 0}, 
   {0, 1/3, 0, 1/3, 0, 1/3, 0, 2/3, 1}, {0, 1/3, 1, 0, 0, 2/3, 0, 1, 0}, 
   {1, 0, 0, 0, 2/3, 0, 1/3, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/3, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 2/3, 0, 1/3, 0, 0, 0, 1/3}, {0, 0, 0, 2/3, 1, 0, 0, 0, 1}, 
   {2/3, 2/3, 0, 1/3, 0, 1/3, 1, 1, 0}, {2/3, 0, 0, 1/3, 0, 1/3, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 1/3, 0, 1/3, 1/3, 0}, {0, 0, 0, 1/3, 0, 1/3, 2/3, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1/2, 0, 1, 0, 1, 1/2, 0, 0}, {1, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 1/3, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 1/3}, {0, 0, 0, 1/3, 0, 2/3, 1/3, 1/3, 0}, 
   {0, 0, 2/3, 0, 0, 0, 1/3, 1/3, 0}, {0, 1/3, 1, 1/3, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 1/3, 0, 0, 0, 1/3}, {1/3, 0, 0, 1/3, 1, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 1/3, 0, 2/3, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, {0, 1/2, 1, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1, 0, 1/2, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/3, 0, 1, 0}, {0, 0, 2/3, 1/3, 0, 0, 1, 0, 1/3}, 
   {2/3, 0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 1/3, 0, 0, 2/3, 1, 0}, 
   {0, 0, 0, 1, 0, 2/3, 0, 1/3, 0}, {0, 2/3, 0, 0, 1/3, 1/3, 1/3, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 1, 1/2, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1}, {1, 0, 0, 0, 0, 1/2, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1/2, 0, 0}, {1, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 2/3, 0, 0, 1}, {0, 2/3, 0, 1, 0, 0, 2/3, 1/3}, 
   {2/3, 0, 1, 0, 1, 1/3, 1, 0}, {0, 2/3, 1/3, 0, 1, 0, 2/3, 1/3}, 
   {0, 0, 1, 0, 1/3, 2/3, 0, 1}, {2/3, 0, 0, 1, 0, 1/3, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 1, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 1, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 1, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 3/4, 1}, 
   {1/2, 0, 0, 3/4, 1/4, 3/4, 1/4, 0, 1/4}, {1/2, 0, 1, 1/4, 1/4, 0, 1, 0, 
    0}, {1/4, 1, 0, 0, 1/2, 0, 0, 1/4, 0}, {1/4, 0, 0, 1/4, 3/4, 0, 0, 0, 1}, 
   {1/4, 0, 3/4, 0, 0, 0, 0, 0, 1}, {0, 3/4, 0, 0, 0, 1/4, 1, 0, 0}, 
   {1/4, 0, 0, 1, 1/2, 0, 0, 1, 0}, {3/4, 0, 1, 0, 1/2, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/3, 1/3, 0, 0, 2/3, 0, 2/3}, {0, 0, 0, 2/3, 1, 0, 1/3, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1/3, 0, 0}, {1/3, 1/3, 0, 0, 0, 2/3, 0, 1/3, 2/3}, 
   {1, 0, 0, 1/3, 0, 1, 0, 2/3, 0}, {1, 0, 0, 0, 1/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 1, 0, 1, 2/3, 1/3, 0}, {2/3, 1/3, 0, 0, 0, 0, 0, 1/3, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/5, 0, 0, 0, 0, 4/5}, 
   {0, 4/5, 0, 0, 4/5, 0, 2/5, 0, 0}, {3/5, 1/5, 2/5, 1/5, 3/5, 0, 0, 0, 
    2/5}, {1, 1/5, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1/5, 4/5, 0, 1, 4/5, 0, 0}, 
   {0, 0, 1/5, 1/5, 1, 4/5, 0, 0, 0}, {0, 0, 1, 1/5, 1/5, 0, 4/5, 4/5, 0}, 
   {1/5, 1/5, 0, 0, 0, 1, 0, 4/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 1/2, 0, 1}, {1/2, 0, 1/2, 1/4, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/4, 0, 1, 0, 1, 0}, {0, 3/4, 1/2, 0, 0, 1/4, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/4, 0, 0, 1/2, 1/4}, {1/4, 0, 0, 1/4, 1, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1, 0, 1, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, {1/2, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 1, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1, 0, 1/2}, {1, 0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 1/3, 2/3, 0, 1}, {1/3, 0, 1, 0, 1/3, 0, 0, 1/3, 1/3}, 
   {1/3, 1/3, 0, 1, 2/3, 0, 0, 0, 0}, {0, 1, 0, 0, 1/3, 2/3, 0, 1/3, 0}, 
   {0, 0, 0, 2/3, 1/3, 0, 1, 0, 2/3}, {0, 1/3, 0, 0, 0, 2/3, 2/3, 1/3, 0}, 
   {0, 0, 1/3, 2/3, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 1, 0, 0, 1/3}, 
   {0, 0, 0, 0, 0, 1/3, 2/3, 2/3, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 0, 0, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 1/3, 0, 2/3, 0, 1/3}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, {1/3, 0, 2/3, 2/3, 0, 0, 1/3, 0, 0}, 
   {0, 1, 0, 0, 0, 1/3, 0, 1, 1/3}, {0, 1, 1, 0, 0, 2/3, 0, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 1, 0, 2/3, 0, 0}, {0, 1, 2/3, 2/3, 1/3, 0, 0, 1/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 1, 1, 0, 0}, {1/3, 0, 1, 0, 0, 1, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 1/2, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 1, 1/2}, {0, 0, 1/2, 0, 1, 1/2, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 2/3, 1/3, 0, 1/3, 0, 0}, 
   {2/3, 0, 1, 0, 0, 0, 0, 0, 1/3}, {0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1/3, 2/3, 0, 1/3, 1/3}, {0, 0, 2/3, 2/3, 1/3, 0, 0, 0, 0}, 
   {1/3, 2/3, 0, 0, 0, 1/3, 0, 0, 0}, {0, 0, 0, 0, 1/3, 1, 2/3, 1/3, 0}, 
   {1/3, 1, 0, 0, 0, 0, 0, 1/3, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1/2, 1}, {1, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1/2, 0, 0, 1, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 1, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1, 1, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1/2}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1, 1, 0, 0, 1/2, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 1/3, 2/3, 0, 0, 2/3}, {1/3, 0, 1, 1, 0, 1/3, 0, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 0, 1/3, 0, 1}, {0, 0, 0, 0, 1, 0, 2/3, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 1, 0, 0, 0, 0}, {1/3, 1, 0, 0, 0, 1/3, 2/3, 1/3, 0}, 
   {0, 0, 1/3, 1/3, 0, 1, 0, 0, 1/3}, {1/3, 2/3, 0, 1/3, 0, 0, 0, 1/3, 0}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1/2, 1, 0, 1, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1, 1/2, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 1/2, 1, 1/2, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1/3, 0, 2/3, 0}, {1/3, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/3, 0, 1, 0, 1, 1/3, 0, 0, 0}, {2/3, 1, 0, 1/3, 0, 0, 2/3, 0, 2/3}, 
   {0, 1, 0, 1, 0, 0, 0, 2/3, 2/3}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 3/5, 0, 4/5, 0}, {1/5, 0, 3/5, 3/5, 1, 0, 2/5, 0, 0}, 
   {4/5, 0, 2/5, 2/5, 0, 0, 0, 2/5, 0}, {0, 0, 0, 0, 0, 2/5, 0, 0, 2/5}, 
   {1, 0, 1, 0, 0, 1, 0, 2/5, 0}, {0, 1, 0, 1, 1, 0, 0, 2/5, 0}, 
   {0, 1/5, 0, 0, 0, 1/5, 1, 1/5, 3/5}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1, 1/2, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 3/4, 1}, {0, 0, 3/4, 3/4, 0, 1/4, 1, 0, 0}, 
   {1/4, 1/4, 1, 1/2, 1/2, 0, 1/4, 0, 0}, {3/4, 0, 1, 0, 0, 1/4, 0, 1, 0}, 
   {1/2, 3/4, 0, 1/4, 1/4, 0, 1, 0, 0}, {0, 1/4, 1/4, 0, 3/4, 1/2, 3/4, 0, 
    0}, {1/4, 1, 0, 0, 0, 0, 0, 1/4, 0}, {0, 1/4, 0, 1/4, 1/2, 0, 0, 1/4, 
    1/4}, {1/4, 0, 0, 0, 0, 1/4, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 0, 1, 1/2}, {1/2, 0, 1, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 1, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1, 1, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1/2, 0}, {1, 1/2, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 1, 0, 0, 1, 1/3, 0, 0, 0}, 
   {1/3, 0, 1/3, 1/3, 2/3, 0, 2/3, 0, 2/3}, {1/3, 0, 1, 1, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 1, 0, 1, 1/3, 0, 2/3, 0}, {0, 1, 0, 1, 0, 2/3, 0, 0, 0}, 
   {0, 1/3, 0, 1, 2/3, 0, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 7/9, 0, 1, 0, 0, 0, 0, 4/9}, {0, 0, 1/3, 0, 1/3, 1/9, 2/3, 2/3, 0}, 
   {0, 0, 0, 0, 8/9, 2/3, 0, 0, 2/3}, {2/3, 2/9, 8/9, 0, 0, 0, 0, 0, 0}, 
   {0, 2/9, 0, 2/3, 0, 2/9, 2/3, 8/9, 0}, {1/3, 7/9, 0, 0, 5/9, 1/3, 0, 0, 
    0}, {0, 0, 1/3, 1/3, 0, 0, 0, 0, 2/3}, {2/9, 0, 1/9, 1/3, 0, 2/9, 2/9, 0, 
    4/9}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 1, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 1, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 1/2, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1/3}, 
   {0, 2/3, 1/3, 0, 0, 1, 1/3, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, {0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 1/3, 1, 1, 1/3, 0}, {2/3, 0, 1/3, 0, 0, 0, 0, 1/3}, 
   {0, 0, 1, 0, 0, 0, 2/3, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1, 1, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1, 1, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 0, 0, 0, 2/5, 4/5, 0}, {0, 0, 2/5, 4/5, 0, 0, 0, 0}, 
   {0, 1/5, 1/5, 0, 3/5, 1/5, 1/5, 1/5}, {0, 1, 0, 1/5, 0, 4/5, 4/5, 0}, 
   {1/5, 0, 3/5, 0, 1, 0, 0, 0}, {0, 1/5, 1/5, 0, 1/5, 2/5, 0, 4/5}, 
   {1/5, 0, 0, 1/5, 0, 0, 0, 4/5}, {1, 0, 0, 3/5, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 3/5, 0, 2/5, 1, 0, 0, 0, 3/5}, 
   {2/5, 0, 3/5, 1/5, 0, 0, 3/5, 3/5, 0}, {1, 4/5, 0, 0, 0, 0, 2/5, 0, 3/5}, 
   {2/5, 1/5, 2/5, 0, 1/5, 1/5, 2/5, 0, 0}, {3/5, 0, 0, 0, 2/5, 0, 1, 0, 
    2/5}, {0, 2/5, 0, 3/5, 0, 1, 0, 0, 0}, {0, 0, 3/5, 0, 0, 0, 0, 2/5, 3/5}, 
   {0, 0, 1, 1/5, 0, 2/5, 0, 0, 3/5}, {0, 3/5, 0, 0, 3/5, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1, 1}, {1, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 1, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {1, 0, 0, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/3, 2/3, 0, 1/3, 0, 2/3, 0, 1/3, 2/3}, {0, 1/3, 0, 0, 1/3, 2/3, 0, 0, 
    1}, {2/3, 0, 0, 1, 1/3, 0, 2/3, 1/3, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 2/3, 2/3, 1/3, 0, 0, 0, 1/3}, {1/3, 0, 0, 1, 2/3, 0, 1/3, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1/2, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1/2, 1, 1, 0, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 3/4, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 3/4}, 
   {0, 1/2, 1/4, 1/2, 1, 0, 0, 3/4, 0}, {1/2, 1, 0, 0, 1/2, 1, 3/4, 0, 0}, 
   {1, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/4, 0, 1, 1/2, 0, 3/4, 0}, 
   {0, 1, 1/2, 1/2, 0, 1, 0, 0, 0}, {1, 1/2, 0, 1, 1/2, 0, 3/4, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1, 0, 1/2}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, {0, 1, 1, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 0, 1, 1}, 
   {1/2, 0, 1, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1, 1, 1, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 2/3, 1, 2/3, 0, 0}, 
   {1, 0, 1, 1/3, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/3, 2/3, 0, 2/3}, 
   {0, 1, 0, 1/3, 1/3, 0, 0, 2/3, 0}, {0, 1/3, 0, 0, 2/3, 1/3, 1/3, 1/3, 
    1/3}, {1, 0, 1/3, 0, 0, 1, 2/3, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 1}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/3, 0}, 
   {0, 2/3, 0, 1/3, 1/3, 0, 1}, {0, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 1/3, 0, 1/3, 2/3}, 
   {0, 2/3, 1/3, 0, 1/3, 0, 1/3}, {0, 0, 0, 1, 2/3, 1/3, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 0, 0, 0, 4/5, 0, 4/5, 0}, {0, 0, 2/5, 0, 2/5, 0, 4/5, 0, 4/5}, 
   {0, 1/5, 1/5, 4/5, 4/5, 0, 0, 1/5, 0}, {3/5, 0, 0, 2/5, 0, 0, 3/5, 0, 
    1/5}, {1, 0, 2/5, 0, 0, 0, 1/5, 0, 1/5}, {0, 1, 1/5, 0, 0, 4/5, 1/5, 0, 
    3/5}, {1/5, 0, 0, 2/5, 4/5, 0, 0, 1, 0}, {0, 1/5, 3/5, 0, 0, 0, 1/5, 4/5, 
    1/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/3, 0, 1/3, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 1/3, 0, 1/3, 1/3, 0}, {0, 0, 2/3, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 2/3, 2/3}, 
   {0, 0, 0, 2/3, 1, 0, 0, 0, 1}, {0, 2/3, 0, 1/3, 0, 1/3, 1, 1/3, 0}, 
   {0, 2/3, 0, 0, 1, 0, 0, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{6/7, 0, 0, 0, 0, 4/7, 0, 0, 2/7}, {0, 4/7, 0, 2/7, 0, 0, 4/7, 0, 0}, 
   {0, 6/7, 5/7, 0, 2/7, 3/7, 0, 2/7, 0}, {0, 0, 5/7, 0, 0, 1/7, 6/7, 4/7, 
    0}, {5/7, 1/7, 0, 1, 3/7, 0, 2/7, 0, 0}, {5/7, 5/7, 0, 0, 4/7, 1, 2/7, 0, 
    0}, {0, 0, 1/7, 1/7, 1/7, 0, 0, 6/7, 6/7}, {0, 0, 5/7, 1/7, 1/7, 0, 0, 
    2/7, 6/7}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1, 1/2, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1, 0}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1/2, 0}, {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 1, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 2/3, 1, 0, 0}, 
   {1, 0, 1/3, 2/3, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/3, 0, 0, 0, 0, 0, 1, 1}, {2/3, 1/3, 0, 0, 0, 0, 0, 1/3, 1}, 
   {1, 0, 1/3, 2/3, 0, 0, 1/3, 0, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 0, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1/3, 0, 1, 0}, 
   {0, 1/3, 0, 0, 1, 0, 0, 0, 0}, {0, 2/3, 1, 1/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 1/3, 1, 0, 2/3}, {0, 1/3, 0, 0, 2/3, 1, 2/3, 2/3, 0}, 
   {2/3, 0, 1/3, 0, 1/3, 1/3, 0, 0, 2/3}, {0, 1/3, 0, 2/3, 0, 1, 0, 0, 1/3}, 
   {1, 0, 0, 1, 1/3, 0, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 1/3, 2/3, 1/3, 1/3}, {2/3, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 2/3, 1/3, 1/3, 0, 1, 0, 0}, {0, 0, 0, 0, 2/3, 1, 1/3, 0, 2/3}, 
   {0, 0, 0, 1/3, 1, 0, 0, 1, 1}, {2/3, 2/3, 0, 0, 0, 1/3, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 1, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 0, 1, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 0, 0, 0, 1/3}, {0, 0, 0, 1, 1, 1/3, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1}, {2/3, 0, 1, 0, 1/3, 1/3, 0}, 
   {0, 2/3, 0, 1/3, 0, 2/3, 1/3}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1/2, 0, 1, 0}, {1/2, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {1, 1/2, 0, 1, 0, 1, 1, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 2/3, 0, 0, 1/3, 0}, {0, 1/3, 0, 1/3, 0, 0, 1/3, 0, 2/3}, 
   {0, 1/3, 0, 1/3, 2/3, 0, 1/3, 0, 0}, {2/3, 0, 1/3, 1/3, 0, 1/3, 0, 1/3, 
    0}, {0, 0, 0, 0, 2/3, 1, 1/3, 0, 1}, {0, 1/3, 0, 1, 1/3, 0, 0, 1, 0}, 
   {0, 0, 0, 2/3, 1/3, 1, 0, 0, 0}, {1/3, 0, 0, 2/3, 1/3, 0, 2/3, 0, 1}, 
   {0, 2/3, 0, 0, 0, 1, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 1/2, 0, 1}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1/2, 0, 1, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 1, 1/2, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 3/5, 3/5, 0, 3/5, 3/5, 4/5, 0, 0}, 
   {1/5, 0, 2/5, 3/5, 0, 2/5, 0, 0, 2/5}, {3/5, 2/5, 0, 3/5, 0, 0, 2/5, 2/5, 
    0}, {0, 3/5, 1, 1, 0, 0, 0, 0, 0}, {1/5, 2/5, 0, 0, 1/5, 3/5, 0, 0, 4/5}, 
   {1, 0, 2/5, 0, 3/5, 3/5, 0, 0, 0}, {2/5, 0, 0, 2/5, 2/5, 0, 0, 0, 0}, 
   {2/5, 0, 0, 2/5, 0, 0, 2/5, 2/5, 0}, {0, 2/5, 0, 0, 4/5, 2/5, 0, 4/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 1, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 1/3, 0, 1, 1/3, 0, 1}, {0, 0, 0, 1, 2/3, 2/3, 1/3, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 1/3, 2/3}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {2/3, 0, 1/3, 2/3, 1/3, 0, 1/3, 2/3}, {0, 0, 1, 0, 1/3, 2/3, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 2/5, 0, 0, 0, 2/5}, 
   {0, 2/5, 0, 2/5, 0, 0, 0, 2/5, 0}, {0, 0, 2/5, 0, 0, 0, 2/5, 0, 0}, 
   {0, 0, 1, 0, 3/5, 0, 0, 4/5, 2/5}, {0, 0, 1, 4/5, 1, 0, 0, 0, 0}, 
   {3/5, 1, 0, 3/5, 0, 1, 2/5, 0, 0}, {2/5, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 2/5, 0}, {0, 0, 1/5, 0, 1/5, 4/5, 1, 1/5, 3/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1, 1, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{3/5, 0, 0, 0, 2/5, 0, 3/5, 0}, 
   {0, 1/5, 2/5, 0, 0, 1/5, 0, 3/5}, {0, 3/5, 0, 2/5, 0, 2/5, 3/5, 0}, 
   {0, 1, 0, 0, 0, 4/5, 3/5, 0}, {1/5, 0, 2/5, 2/5, 0, 3/5, 0, 3/5}, 
   {0, 0, 0, 2/5, 4/5, 0, 0, 2/5}, {0, 0, 0, 0, 2/5, 0, 2/5, 2/5}, 
   {2/5, 0, 2/5, 0, 0, 0, 4/5, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 1/3, 0, 1, 1/3}, {0, 2/3, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {2/3, 0, 2/3, 0, 1/3, 1/3, 0, 0}, {0, 2/3, 1, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 1/2}, {1, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1/3, 0, 0}, {0, 1/3, 2/3, 0, 0, 0, 1/3, 1}, 
   {0, 2/3, 0, 2/3, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 2/3, 0}, {0, 1/3, 0, 0, 2/3, 1, 0, 0}, 
   {0, 1, 0, 2/3, 0, 1/3, 2/3, 0}, {1/3, 0, 0, 2/3, 0, 0, 1/3, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 1, 0, 0}, {1/2, 0, 1, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1/2, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/6, 0, 1/2, 0, 1/2, 1/6, 5/6, 0}, 
   {2/3, 0, 0, 0, 1/3, 0, 0, 0, 1/2}, {0, 1/2, 1/6, 0, 0, 1/2, 1/3, 1/2, 0}, 
   {1/6, 0, 1/6, 1/3, 0, 1/3, 1/2, 2/3, 0}, {0, 1, 2/3, 0, 0, 0, 1/3, 0, 
    1/2}, {1/6, 0, 0, 1/3, 0, 1/3, 1/3, 0, 5/6}, {0, 1/6, 0, 1/2, 1, 0, 0, 
    1/3, 0}, {1/3, 0, 1/3, 0, 0, 0, 1/6, 0, 5/6}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 4/5, 1/5, 0, 2/5, 0, 4/5, 0}, 
   {0, 0, 3/5, 4/5, 0, 0, 0, 2/5}, {0, 1/5, 1/5, 0, 1, 0, 0, 4/5}, 
   {3/5, 0, 0, 1/5, 0, 0, 2/5, 0}, {0, 3/5, 1/5, 3/5, 0, 2/5, 0, 0}, 
   {1/5, 0, 0, 0, 3/5, 4/5, 0, 0}, {1, 0, 2/5, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 1/3, 0, 1/3}, 
   {0, 1/3, 0, 1/3, 1/3, 0, 0, 0, 0}, {0, 0, 1/3, 1/3, 0, 1/3, 1/3, 2/3, 0}, 
   {1/3, 0, 0, 0, 2/3, 1/3, 0, 2/3, 0}, {0, 0, 1, 1, 0, 1, 2/3, 0, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 1/3, 0}, {0, 0, 1/3, 1/3, 0, 2/3, 0, 1, 1/3}, 
   {0, 1/3, 2/3, 0, 1, 0, 1/3, 0, 1/3}, {1, 1/3, 0, 2/3, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 5/7, 3/7, 0, 0, 2/7, 0, 1/7, 0}, 
   {3/7, 0, 0, 0, 4/7, 0, 5/7, 0, 1}, {0, 3/7, 3/7, 0, 0, 4/7, 1, 0, 1/7}, 
   {5/7, 0, 2/7, 2/7, 2/7, 0, 0, 1, 0}, {1, 0, 0, 0, 4/7, 0, 0, 1, 0}, 
   {0, 2/7, 4/7, 0, 0, 0, 0, 6/7, 6/7}, {6/7, 0, 0, 4/7, 0, 2/7, 0, 0, 0}, 
   {0, 0, 2/7, 6/7, 6/7, 0, 2/7, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 2/3, 1, 0, 0, 1/3, 0}, 
   {1/3, 0, 1/3, 0, 1, 0, 2/3, 1/3, 0}, {0, 1, 0, 1/3, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 0, 2/3, 0}, {1/3, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1/3, 0, 1, 2/3, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 2/3, 1/3, 0, 1}, {2/3, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 1/2}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 1, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1/2, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 1, 0, 1/2, 1/2, 0, 1/2, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1, 1, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 1}, {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1/2, 1, 0, 1, 0, 1/2, 1}, 
   {1/2, 1, 0, 1, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {2/3, 0, 0, 0, 1/3, 1/3, 0, 0, 1}, {0, 2/3, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 1/3, 1, 1, 1/3, 0}, {0, 0, 2/3, 1, 0, 2/3, 0, 0, 1/3}, 
   {0, 2/3, 2/3, 1/3, 0, 0, 0, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 1, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 0, 2/3, 0, 0, 2/3, 1/3}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 2/3, 0, 0, 1/3, 1, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 1, 0, 0, 2/3, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/3, 0, 2/3, 2/3, 1/3, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 2, 2}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 3/4, 1/4, 0, 1/2, 1/4}, {0, 0, 1/2, 0, 1, 0, 1/2, 1, 0}, 
   {1, 3/4, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 1/4, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/4, 1/2, 1/4, 0, 0, 0, 0}, {0, 0, 0, 3/4, 0, 0, 1/4, 1/4, 0}, 
   {0, 1/4, 3/4, 0, 0, 0, 1/2, 0, 1}, {0, 0, 3/4, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 3/4, 3/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 1, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 0, 0, 0, 2/3, 0, 1}, {0, 1/3, 1, 0, 0, 2/3, 0, 0, 1/3}, 
   {1, 2/3, 0, 0, 0, 0, 1/3, 1, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 2/3, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 1, 2/3, 0, 0, 1/3, 1/3, 0}, {1/3, 0, 2/3, 0, 0, 0, 0, 2/3, 1/3}, 
   {1/3, 2/3, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 1, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 1/2}, {0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1, 1/2, 0, 1, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 1/2}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/3, 1, 0, 0, 0, 2/3, 1, 0}, 
   {2/3, 0, 1/3, 1, 0, 1/3, 0, 0, 1/3}, {1/3, 0, 0, 2/3, 1/3, 0, 1/3, 0, 1}, 
   {0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 0, 1/3, 2/3, 0, 0, 2/3}, 
   {1/3, 0, 0, 2/3, 0, 2/3, 1/3, 0, 0}, {1, 0, 2/3, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 1, 2/3, 0, 0, 0, 1/3, 0, 1}, {1, 1/3, 0, 0, 1/3, 0, 2/3, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 0, 0, 0, 0, 0, 3/5, 3/5}, 
   {2/5, 2/5, 0, 3/5, 0, 0, 0, 3/5, 0}, {0, 0, 3/5, 2/5, 0, 0, 0, 0, 2/5}, 
   {0, 0, 1/5, 1/5, 0, 3/5, 0, 4/5, 0}, {2/5, 0, 0, 0, 0, 3/5, 2/5, 2/5, 0}, 
   {0, 4/5, 0, 0, 4/5, 0, 2/5, 0, 3/5}, {1, 1/5, 2/5, 0, 3/5, 0, 1/5, 0, 0}, 
   {1/5, 3/5, 0, 2/5, 0, 4/5, 4/5, 0, 1}, {0, 0, 2/5, 1/5, 3/5, 0, 3/5, 1, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 0, 1/4, 0}, {1/4, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {3/4, 0, 1/2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1/4, 1}, {1/4, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 1/4, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1/2, 0, 0}, {1, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1, 1/2}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1, 1, 0, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1/2, 0, 1, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 1, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1/2, 1/2, 1, 0}, {1/2, 1, 0, 0, 1, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1, 1, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 1, 1/2, 0}, 
   {1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 1/3, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1/3, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1/3, 0, 1/3, 1}, 
   {2/3, 2/3, 0, 1/3, 0, 0, 1/3, 0, 0}, {2/3, 0, 0, 1/3, 0, 2/3, 1, 0, 0}, 
   {0, 0, 0, 0, 2/3, 1/3, 0, 2/3, 2/3}, {0, 2/3, 2/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 1/3, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 2/3, 0, 0, 1/3, 0, 1/3, 1/3}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {2/3, 0, 0, 1/3, 1/3, 0, 1/3, 0, 2/3}, {0, 0, 0, 1/3, 1/3, 0, 0, 1, 1}, 
   {0, 0, 0, 2/3, 0, 1, 1/3, 0, 0}, {0, 2/3, 0, 0, 0, 1, 1/3, 2/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 1/3, 2/3, 1/3, 1/3, 2/3}, 
   {0, 2/3, 0, 0, 1, 0, 1/3, 1, 0}, {0, 0, 2/3, 1/3, 0, 1, 0, 0, 1}, 
   {0, 2/3, 0, 0, 1/3, 0, 0, 0, 1}, {0, 0, 0, 2/3, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1/3, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 0, 1, 0, 0, 1/3}, {0, 0, 2/3, 0, 1/3, 0, 1, 1/3, 0}, 
   {0, 0, 0, 2/3, 1, 0, 0, 0, 1}, {2/3, 0, 0, 1, 0, 1, 1, 1/3, 0}, 
   {2/3, 2/3, 0, 0, 1/3, 0, 2/3, 0, 1/3}, {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, {1, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0, 0}, {0, 1, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1, 1/2, 0, 1/2, 1, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 1, 1/3, 0}, {1, 0, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1/3, 1/3, 0, 0, 0, 1/3, 2/3, 0, 2/3}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 1/3, 1, 0, 2/3, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1/2, 0, 0, 1/2, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, {0, 1/2, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 1, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 1, 1, 0, 0, 0, 2/3, 0}, {1/3, 0, 0, 0, 1, 0, 1/3, 0, 1}, 
   {0, 0, 1/3, 0, 1, 1, 0, 0, 0}, {1/3, 1, 0, 1/3, 0, 0, 1/3, 2/3, 0}, 
   {0, 1/3, 0, 0, 0, 2/3, 2/3, 0, 1/3}, {0, 0, 0, 1, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 1, 0, 0, 0, 0, 1/3}, {1/3, 0, 0, 0, 1/3, 0, 2/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1}, {1, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 1/2, 0, 1, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, {0, 1, 0, 1/2, 0, 1, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1/2, 1/2, 0, 1, 0, 1/2, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 1/3, 0, 1, 1}, {0, 0, 2/3, 1, 1/3, 0, 1, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 1, 1/3, 0, 0, 1, 1/3}, 
   {0, 2/3, 0, 0, 0, 1/3, 1, 0, 0}, {0, 0, 0, 0, 2/3, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 0, 1, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 1, 1, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 1/3, 1/3, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1/3}, {0, 0, 0, 1/3, 1, 1, 0, 1/3}, 
   {0, 2/3, 1/3, 0, 0, 0, 1, 0}, {0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 2/3, 2/3, 0, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 2/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 2/3, 0, 0, 2/3, 0, 0}, 
   {2/3, 1/3, 0, 0, 1/3, 0, 2/3, 1/3, 0}, {1/3, 0, 0, 0, 1, 1, 0, 2/3, 1/3}, 
   {0, 1/3, 2/3, 0, 1, 0, 2/3, 0, 0}, {2/3, 0, 0, 1, 0, 0, 0, 1/3, 2/3}, 
   {1/3, 1/3, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 0, 1/3, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 2/3, 0, 0, 0, 0, 0, 1/3}, {0, 0, 0, 1/3, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 1/2, 0, 1/2}, {1, 1/2, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1, 0, 0, 1/3, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/3}, {1/3, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/3, 0, 1, 2/3}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {2/3, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 2/3, 1/3, 0, 2/3, 1/3, 1/3, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0, 
    0}, {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 3/5, 0, 3/5, 0, 1}, {0, 2/5, 0, 1/5, 0, 1/5, 0, 1/5, 2/5}, 
   {2/5, 0, 2/5, 0, 1/5, 0, 2/5, 1/5, 0}, {4/5, 2/5, 0, 0, 3/5, 2/5, 0, 3/5, 
    0}, {2/5, 0, 4/5, 1/5, 0, 1/5, 1/5, 0, 1/5}, {0, 2/5, 0, 2/5, 0, 0, 2/5, 
    2/5, 0}, {0, 0, 4/5, 0, 2/5, 0, 0, 4/5, 0}, {2/5, 2/5, 0, 2/5, 0, 2/5, 
    2/5, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 0, 0, 0, 0, 1, 1/3}, {0, 0, 1/3, 0, 1, 1/3, 0, 0, 0}, 
   {1/3, 1/3, 0, 0, 2/3, 0, 1/3, 0, 0}, {0, 0, 1/3, 1/3, 0, 0, 1, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, {0, 0, 0, 2/3, 1, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 1, 0, 0, 1/3}, {1/3, 1/3, 0, 0, 0, 2/3, 0, 1/3, 1}, 
   {0, 0, 1/3, 1, 0, 0, 1, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 2/5, 2/5, 0, 3/5, 3/5, 0}, 
   {3/5, 1/5, 0, 2/5, 0, 4/5, 0, 0, 1/5}, {0, 0, 0, 0, 0, 0, 4/5, 2/5, 0}, 
   {0, 2/5, 0, 0, 2/5, 0, 0, 0, 0}, {0, 0, 3/5, 0, 0, 2/5, 0, 2/5, 3/5}, 
   {2/5, 0, 1/5, 2/5, 2/5, 0, 0, 0, 1}, {1, 1, 0, 2/5, 4/5, 0, 1/5, 1/5, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 3/4}, 
   {3/4, 3/4, 1/2, 1/4, 0, 0, 1/4, 1/4, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1, 
    0}, {0, 1/2, 0, 1/2, 0, 0, 1/4, 0, 0}, {1/4, 1/2, 0, 0, 1/4, 0, 0, 1/4, 
    0}, {0, 0, 0, 1/2, 0, 1/2, 3/4, 0, 0}, {3/4, 1/2, 0, 0, 1/4, 1/4, 0, 0, 
    1/4}, {0, 0, 1/4, 1/2, 0, 1, 1/4, 0, 1}, {1/4, 0, 1/2, 0, 1, 0, 1/2, 3/4, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1, 2/3, 0, 0, 1/3, 1/3, 0}, {0, 1/3, 0, 2/3, 2/3, 0, 0, 0, 1}, 
   {2/3, 1, 0, 0, 0, 0, 0, 2/3, 1}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 2/3, 0, 1/3}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1/3, 0, 1, 0, 0, 2/3, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/3, 1, 0, 2/3, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/3, 2/3, 1/3, 0}, 
   {1/3, 1, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 0, 1/3, 0, 2/3, 1/3, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 2/3, 0, 0}, {0, 0, 0, 1/3, 2/3, 0, 0, 1/3, 1}, 
   {0, 1, 1/3, 0, 0, 2/3, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 0, 0, 2/3}, {0, 1/3, 0, 1/3, 2/3, 0, 0}, 
   {0, 1/3, 0, 0, 1/3, 1, 0}, {1/3, 0, 2/3, 0, 0, 0, 1/3}, 
   {2/3, 0, 1/3, 0, 1, 1, 0}, {0, 2/3, 2/3, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1/3, 0, 2/3, 2/3, 0, 0, 2/3, 1}, {2/3, 0, 0, 0, 0, 1, 2/3, 0, 0}, 
   {1/3, 1/3, 0, 1/3, 0, 2/3, 1/3, 0, 0}, {0, 1/3, 2/3, 0, 0, 2/3, 0, 1/3, 
    0}, {0, 1/3, 0, 0, 0, 0, 2/3, 1/3, 0}, {2/3, 0, 0, 1/3, 2/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 0, 1, 0, 2/3, 1}, {0, 0, 1/3, 2/3, 2/3, 0, 2/3, 0, 0}, 
   {0, 2/3, 2/3, 0, 1/3, 0, 1/3, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1/2, 0, 0, 0, 1, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1, 0, 1, 1/2, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 1/3, 0, 1, 0}, 
   {0, 0, 1/3, 1, 0, 1, 0, 1/3}, {0, 0, 2/3, 0, 1, 0, 1, 0}, 
   {1/3, 1/3, 0, 2/3, 1/3, 0, 1/3, 0}, {0, 0, 1/3, 1/3, 0, 0, 1, 2/3}, 
   {0, 0, 0, 0, 1, 1/3, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 1}, {0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 2/3, 0, 0, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 1, 0, 2/3, 0, 0, 0, 1/3}, {1/3, 2/3, 0, 0, 0, 0, 2/3, 0, 1/3}, 
   {0, 1, 1/3, 2/3, 0, 0, 1/3, 1/3, 0}, {1, 0, 0, 0, 2/3, 2/3, 0, 0, 1/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 1/3, 0, 0, 1/3, 2/3, 0, 0, 0}, 
   {1/3, 1, 0, 0, 0, 0, 2/3, 1/3, 0}, {0, 0, 1/3, 0, 0, 2/3, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 0, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, 
   {1/3, 0, 1, 0, 0, 1/3, 1/3, 1/3, 0}, {0, 0, 1/3, 2/3, 1/3, 0, 1/3, 1/3, 
    0}, {1/3, 2/3, 0, 1/3, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 1/3, 2/3, 
    1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 1/2, 0, 1/2}, {1, 1, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1, 1, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 1, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, {0, 0, 1/2, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 1/2, 0, 0, 1}, {0, 1, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 0, 0, 1, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2}, {1, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 1/3, 1, 0, 1/3, 1, 0}, {0, 2/3, 0, 0, 0, 1, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 0, 1/3, 1/3, 1, 0}, {0, 2/3, 0, 1, 1, 0, 0, 0, 1/3}, 
   {2/3, 0, 2/3, 0, 0, 1/3, 1/3, 1/3, 0}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1/2, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 1}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 2/3, 0, 0, 1/3, 0, 0}, 
   {1/3, 0, 0, 0, 0, 0, 0, 1, 1/3}, {0, 1/3, 1, 0, 0, 2/3, 0, 1/3, 1/3}, 
   {1, 0, 2/3, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 2/3, 2/3}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{3/8, 1/8, 3/8, 0, 0, 5/8, 0, 0, 0}, {1/8, 0, 3/8, 0, 1/8, 5/8, 0, 1/8, 
    1/8}, {1/4, 3/4, 0, 0, 3/8, 0, 3/8, 0, 5/8}, {0, 0, 0, 5/8, 3/4, 1/4, 0, 
    0, 0}, {0, 3/4, 0, 0, 0, 1/4, 5/8, 0, 5/8}, {0, 0, 1/4, 5/8, 1/2, 0, 0, 
    1/4, 1/4}, {0, 1/8, 0, 3/8, 0, 1/8, 1/4, 5/8, 0}, 
   {1/2, 0, 3/4, 1/4, 1/8, 0, 3/8, 0, 0}, {1/4, 3/8, 0, 0, 0, 3/8, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/4, 0, 1/4, 0, 1/4, 3/4, 0}, {1/4, 0, 0, 1, 0, 1/4, 1/4, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {1/4, 3/4, 0, 0, 3/4, 1/4, 0, 1/4, 1/4}, 
   {0, 1, 3/4, 1/4, 0, 0, 0, 1/4, 0}, {1/2, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/4, 0, 0, 1/4}, {1, 0, 1/4, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/4, 1/2, 0, 3/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1/2, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 1, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 1, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 1, 0, 1/2, 1/2, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1, 1/3, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1/3, 0, 1}, {0, 0, 0, 1, 1/3, 1/3, 0, 1/3}, 
   {0, 2/3, 1/3, 0, 0, 0, 1, 0}, {0, 0, 1/3, 0, 0, 2/3, 1, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 2/3, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 2/3, 0, 1/3, 2/3, 0}, {2/3, 1, 0, 0, 0, 0, 0, 0, 1/3}, 
   {0, 1/3, 0, 0, 1/3, 0, 2/3, 0, 1/3}, {1/3, 0, 1, 1/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 1/3, 1/3, 0, 1/3}, {1/3, 0, 1, 0, 0, 0, 0, 0, 1/3}, 
   {0, 0, 2/3, 0, 0, 0, 0, 1/3, 2/3}, {0, 1/3, 0, 1/3, 0, 2/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {1, 1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1, 1/2, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 0, 0, 0, 1/3, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 0, 0, 1/3, 2/3}, {0, 0, 0, 2/3, 0, 1/3, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/3, 0, 1/3, 1/3}, {0, 2/3, 2/3, 0, 0, 0, 1, 1, 0}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 0, 0, 2/3}, {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 1/3}, 
   {1, 0, 0, 0, 1/3, 0, 1, 2/3, 0}, {0, 2/3, 0, 2/3, 0, 1/3, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/4, 1/4, 0, 0, 3/4, 1/4, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/4, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/4, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 1/4, 1, 0}, 
   {0, 1, 0, 3/4, 0, 0, 3/4, 0, 1}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 1, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 1/2, 0, 0, 0, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1, 1/2, 0, 0, 1/2, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, {1/2, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 1, 0, 0}, {1, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1, 1}, {1, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1/2}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1/2, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1, 1/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1/3, 0, 0, 2/3}, {1/3, 0, 0, 0, 1, 2/3, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1/3, 1/3, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0}, {2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1, 0, 1, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 1, 1/2, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {1, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 1, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 1, 0, 0}, {1, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 2/3, 0, 1/3, 0, 0, 1/3}, 
   {0, 2/3, 0, 0, 0, 1, 2/3, 0, 1}, {0, 0, 0, 1, 1/3, 0, 1, 1, 0}, 
   {2/3, 0, 0, 1/3, 1/3, 0, 0, 0, 1}, {0, 0, 0, 0, 2/3, 1, 1/3, 1/3, 0}, 
   {0, 2/3, 0, 0, 0, 1/3, 1/3, 1/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/6}, 
   {0, 1/6, 0, 1/2, 1/6, 0, 5/6, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1/6}, 
   {0, 1/2, 1/3, 0, 1/3, 0, 1/6, 0, 1/6}, {1/6, 0, 0, 1/2, 5/6, 0, 1/2, 0, 
    0}, {0, 2/3, 2/3, 0, 0, 1/6, 0, 0, 1/2}, {0, 0, 1/6, 1/3, 1/3, 5/6, 0, 
    1/6, 0}, {1/3, 0, 0, 1/3, 0, 1, 1/3, 1/3, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 5/6}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 1, 0, 0, 1/2, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 1/2}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/3, 0, 1/3, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/3, 0, 1/3}, 
   {2/3, 2/3, 0, 0, 0, 1, 1/3, 0, 1/3}, {1/3, 0, 1/3, 0, 1/3, 0, 0, 2/3, 1}, 
   {0, 0, 1/3, 1, 2/3, 0, 0, 1, 0}, {0, 0, 2/3, 0, 0, 1, 1, 1/3, 0}, 
   {0, 2/3, 1/3, 1/3, 0, 1, 0, 2/3, 0}, {0, 1/3, 0, 1, 1, 0, 2/3, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 1/3, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 2/3, 1/3, 0, 0, 0, 0}, {0, 1, 0, 0, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 1/3, 0, 1/3, 0, 2/3, 0, 2/3}, {1/3, 0, 1, 2/3, 1/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 1, 0, 1, 2/3, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 0, 0, 0, 0, 0, 2/3, 2/3, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1, 1/2, 0, 1/2, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1}, {1, 0, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1/4, 0, 0, 0, 3/4, 1/2}, {1/2, 0, 3/4, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 3/4}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1/2, 1, 0, 0, 1/4, 0, 1, 0, 1/4}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 0, 1, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 1, 1/2, 1, 0, 0, 0, 1, 0}, 
   {1, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 1, 0, 1, 1/2, 1/2, 0}, 
   {1, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1/3, 2/3, 0, 1/3, 1/3, 0, 0, 1/3}, 
   {0, 0, 1, 0, 0, 1/3, 0, 0, 2/3}, {2/3, 0, 0, 2/3, 0, 0, 1, 1/3, 0}, 
   {0, 1, 1/3, 1, 0, 0, 1/3, 0, 0}, {1, 0, 1/3, 0, 1, 0, 1/3, 0, 0}, 
   {1/3, 2/3, 0, 0, 0, 0, 0, 2/3, 1/3}, {2/3, 1/3, 0, 1/3, 0, 0, 0, 1/3, 
    2/3}, {0, 1, 0, 0, 1, 2/3, 2/3, 0, 0}, {1/3, 0, 2/3, 1/3, 0, 1, 1/3, 2/3, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{9/10, 3/10, 0, 0, 1/10, 0, 1/10, 0, 1/2}, {0, 0, 1/10, 0, 7/10, 0, 0, 
    3/10, 4/5}, {7/10, 3/10, 0, 1/2, 0, 1/10, 0, 3/10, 0}, 
   {1/10, 0, 0, 0, 1, 0, 0, 1/10, 1/2}, {0, 1/10, 1/2, 0, 2/5, 2/5, 1/10, 0, 
    0}, {0, 1/2, 9/10, 0, 0, 0, 3/10, 0, 0}, {0, 1/10, 0, 9/10, 0, 9/10, 0, 
    0, 3/10}, {1/5, 1/10, 0, 0, 1/10, 2/5, 9/10, 9/10, 0}, 
   {1/10, 0, 3/10, 0, 1/10, 0, 1, 3/5, 1/10}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1/3, 0, 0, 2/3, 0, 0}, {0, 0, 1/3, 1, 2/3, 0, 0, 0, 1/3}, 
   {1/3, 0, 1/3, 0, 1/3, 0, 0, 2/3, 2/3}, {1/3, 1/3, 0, 0, 1/3, 1/3, 0, 1/3, 
    0}, {0, 1, 0, 0, 0, 2/3, 1/3, 0, 0}, {2/3, 0, 1, 0, 0, 1, 0, 0, 1/3}, 
   {1/3, 1/3, 0, 0, 0, 0, 1, 0, 0}, {0, 1/3, 0, 1/3, 0, 0, 2/3, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 1, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1, 1, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {1, 0, 1/2, 0, 0, 0, 1, 0, 0}, {1, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, 
   {1, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 1, 1/2, 0, 1/2, 0, 1, 0}, 
   {1, 1/2, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 2/3, 0, 1/3, 0, 0}, {1/3, 0, 1, 0, 0, 0, 0, 2/3, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 1/3, 0, 1, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 1/3, 0, 0, 1, 0}, {0, 1, 0, 0, 1/3, 1, 2/3, 0, 0}, 
   {1, 0, 1, 0, 1/3, 0, 1, 0, 1}, {2/3, 1, 0, 0, 0, 1, 0, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 1, 1, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 2/3, 0, 0}, {1, 2/3, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/3, 0, 1/3, 0, 2/3, 0}, {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/3, 0, 2/3, 0, 2/3}, {0, 1, 1/3, 1/3, 0, 1, 0, 2/3, 0}, 
   {1, 2/3, 0, 0, 1/3, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 3/4, 1}, 
   {0, 3/4, 1/2, 1/4, 0, 0, 0, 0, 1/4}, {1/4, 1, 0, 1/4, 0, 0, 1/2, 1/2, 0}, 
   {1/4, 0, 1/4, 1/4, 1/4, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 1/4, 0, 1/4, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/4, 3/4}, {1/2, 0, 0, 0, 0, 1/4, 1, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/4, 0, 1/4, 0, 1, 3/4, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 1/2, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, 
   {1/3, 2/3, 1/3, 0, 0, 0, 1/3, 0, 0}, {0, 1/3, 0, 0, 0, 2/3, 0, 1/3, 1/3}, 
   {0, 1, 0, 2/3, 2/3, 0, 0, 1/3, 0}, {0, 0, 0, 1/3, 0, 1/3, 2/3, 2/3, 2/3}, 
   {1, 0, 2/3, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 2/3, 1/3, 0, 0}, 
   {0, 1/3, 0, 2/3, 0, 2/3, 1/3, 0, 0}, {1, 0, 1/3, 0, 0, 0, 0, 1, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1, 1/2, 1, 0, 1, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1/2, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 0, 1, 1/2}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 1, 0, 1/2}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 0, 2/3, 1, 0, 0}, {1, 0, 1/3, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 2/3, 0, 1/3, 1}, 
   {1/3, 2/3, 1/3, 2/3, 0, 0, 1/3, 0, 0}, {1/3, 0, 1/3, 2/3, 2/3, 0, 1, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 0, 1/3, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1/3, 1, 0}, {0, 0, 2/3, 1, 0, 1/3, 1/3, 1/3, 0}, 
   {2/3, 0, 0, 0, 1, 0, 0, 0, 1}, {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 1}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 1, 1/2, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 1/3, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 1/3, 0, 0, 1/3}, 
   {1/3, 1/3, 0, 0, 2/3, 0, 0, 1/3, 0}, {0, 0, 2/3, 1/3, 0, 0, 1, 2/3, 0}, 
   {1/3, 2/3, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1/3, 0, 0, 1/3, 0, 1/3, 2/3}, 
   {2/3, 2/3, 0, 2/3, 0, 2/3, 1/3, 0, 0}, {0, 0, 1/3, 0, 0, 0, 1/3, 1/3, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1/2, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 0, 1}, {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 0, 0, 0, 1/3, 0}, {0, 1/3, 0, 0, 1/3, 0, 0, 0, 0}, 
   {1, 0, 1/3, 0, 2/3, 1, 0, 1/3, 0}, {0, 2/3, 1, 2/3, 0, 0, 1/3, 0, 1/3}, 
   {1, 0, 0, 0, 0, 1/3, 2/3, 2/3, 0}, {0, 2/3, 1, 0, 1/3, 2/3, 0, 1/3, 0}, 
   {1, 0, 0, 1/3, 0, 0, 1/3, 0, 1}, {1, 0, 0, 2/3, 1/3, 0, 0, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 0, 1/2}, {1, 1, 0, 1, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 1}, {1/2, 1, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, 
   {0, 0, 1, 1/2, 1, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 1/3, 1, 0, 1/3, 0, 2/3, 0}, 
   {1/3, 0, 0, 1/3, 0, 2/3, 2/3, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 1, 2/3, 0, 0}, {0, 1/3, 0, 1, 0, 0, 0, 2/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 1/2, 1/2, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {1, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1/3, 0, 2/3, 0}, {0, 1, 1, 2/3, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/3, 1, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 0, 2/3, 0, 1, 0, 0, 0}, {1/3, 0, 0, 0, 0, 1/3, 2/3, 2/3, 0}, 
   {0, 1/3, 1, 1/3, 1/3, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 1/3, 1/3, 0, 0, 1}, {0, 0, 2/3, 1/3, 1/3, 0, 2/3, 1/3}, 
   {0, 2/3, 1/3, 0, 2/3, 1/3, 1, 0}, {0, 0, 1/3, 2/3, 0, 0, 2/3, 1/3}, 
   {2/3, 0, 0, 1/3, 1/3, 1/3, 1, 0}, {0, 2/3, 1/3, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 2/3, 0, 0, 2/3, 1/3, 1/3, 0}, {0, 0, 0, 0, 2/3, 1, 0, 1/3, 0}, 
   {0, 1/3, 0, 1/3, 1, 0, 1, 0, 1}, {0, 1/3, 0, 1, 2/3, 0, 0, 1, 0}, 
   {2/3, 0, 0, 0, 0, 1, 1, 0, 1}, {1/3, 0, 1, 1, 0, 0, 0, 0, 1/3}, 
   {2/3, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 2/3, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 2/3}, {2/3, 2/3, 0, 1, 1, 0, 0, 1/3, 1}, 
   {2/3, 0, 2/3, 2/3, 0, 1/3, 1/3, 0, 0}, {0, 0, 2/3, 0, 0, 1/3, 0, 1, 1/3}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1/3}, {0, 2/3, 0, 1, 1/3, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1/2, 1}, 
   {1, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1, 1/2, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, {1/3, 1/3, 0, 2/3, 0, 0, 1/3, 1, 0}, 
   {2/3, 0, 1/3, 0, 2/3, 0, 0, 0, 1/3}, {0, 0, 1/3, 2/3, 2/3, 0, 0, 0, 1/3}, 
   {0, 0, 1/3, 0, 0, 2/3, 1/3, 1/3, 0}, {2/3, 0, 1, 0, 0, 0, 1/3, 1/3, 0}, 
   {1, 1/3, 0, 0, 0, 0, 2/3, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 1, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, {0, 1, 1, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 1, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/4, 0, 3/4, 3/4, 0, 0}, 
   {0, 1/4, 0, 0, 0, 3/4, 3/4, 0, 0}, {0, 1/4, 3/4, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/4, 0, 1/4, 0, 3/4, 3/4, 0}, {1/2, 1/4, 0, 1/4, 0, 1/4, 0, 1, 0}, 
   {0, 3/4, 1/4, 3/4, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1/4, 0, 1}, 
   {1, 3/4, 0, 3/4, 1, 0, 0, 0, 0}, {0, 0, 1/4, 1/4, 0, 1, 0, 0, 3/4}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1/2, 1, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1/2, 1, 0}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, {1/3, 0, 1/3, 2/3, 0, 2/3, 2/3, 0, 
    1/3}, {1, 0, 1/3, 2/3, 0, 2/3, 0, 0, 1/3}, {0, 1, 0, 2/3, 2/3, 0, 1/3, 
    1/3, 0}, {0, 1/3, 0, 0, 0, 2/3, 2/3, 0, 1/3}, 
   {1/3, 0, 1, 0, 0, 0, 1/3, 1/3, 0}, {0, 1/3, 2/3, 0, 0, 0, 0, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2}, {0, 0, 1, 0, 1, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1, 1/2, 0, 0, 1/2}, {1, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1/2, 1, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1/2, 0, 1/2, 1/2, 1, 0, 0}, {0, 0, 1, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}, {0, 1/2, 1, 1/2, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 3/4, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 1/4, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 3/4, 3/4, 1/2, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 1/4, 0}, 
   {1/2, 0, 1/4, 1/4, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 1/2, 1, 3/4, 0}, 
   {0, 1, 1/4, 0, 1/4, 0, 0, 0, 0}, {0, 0, 1/4, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 1, 0, 0, 1/3, 1/3}, {0, 2/3, 0, 1, 0, 1/3, 1, 0, 0}, 
   {2/3, 0, 0, 1, 0, 1/3, 0, 1/3, 1}, {0, 2/3, 0, 0, 1, 0, 1/3, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 2/3, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 1, 0, 1, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1/2}, {0, 1, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1, 1, 0, 1/2, 0, 0}, {1/2, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 0, 0, 1/2, 1, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1, 1/2, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, {1, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 1, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 0, 1, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 1/2, 1, 0, 1, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 1, 1, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 1, 0}, {1, 0, 1/2, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 0, 0, 0, 1/5, 0, 3/5, 3/5}, 
   {0, 2/5, 0, 2/5, 0, 1/5, 0, 1/5, 3/5}, {0, 0, 0, 3/5, 3/5, 0, 1/5, 0, 0}, 
   {0, 0, 4/5, 2/5, 0, 0, 0, 4/5, 2/5}, {0, 0, 0, 2/5, 4/5, 4/5, 0, 0, 0}, 
   {4/5, 2/5, 0, 0, 0, 0, 4/5, 0, 0}, {2/5, 0, 2/5, 0, 2/5, 3/5, 1/5, 0, 0}, 
   {4/5, 4/5, 0, 3/5, 1/5, 0, 0, 1, 1}, {0, 0, 4/5, 0, 0, 3/5, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 2/3, 1/3, 1/3, 0, 1/3, 2/3, 0}, {0, 2/3, 1, 1/3, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {2/3, 0, 1, 1/3, 0, 0, 1/3, 1/3}, 
   {0, 0, 2/3, 0, 1/3, 1/3, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/5, 1/5, 4/5, 4/5, 0, 1/5, 0, 3/5}, {3/5, 0, 0, 0, 0, 0, 2/5, 1, 0}, 
   {0, 3/5, 1, 2/5, 0, 2/5, 0, 1/5, 0}, {1/5, 0, 0, 0, 0, 0, 3/5, 0, 1}, 
   {2/5, 2/5, 0, 0, 0, 0, 0, 4/5, 0}, {0, 0, 0, 0, 2/5, 0, 2/5, 4/5, 0}, 
   {0, 0, 0, 0, 0, 4/5, 0, 0, 2/5}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 1/3, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, {0, 1/3, 1/3, 0, 0, 1, 1/3, 2/3, 0}, 
   {0, 0, 0, 2/3, 1/3, 0, 0, 2/3, 1}, {0, 2/3, 0, 1, 1, 0, 1/3, 1/3, 0}, 
   {2/3, 0, 0, 0, 1/3, 1/3, 0, 2/3, 1/3}, {1/3, 2/3, 0, 0, 0, 1/3, 1/3, 0, 
    2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/2, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 1/3, 0, 2/3, 2/3, 1, 0, 1/3}, 
   {0, 1, 0, 0, 2/3, 1, 0, 1/3}, {1/3, 0, 2/3, 0, 0, 0, 1, 0}, 
   {1/3, 0, 2/3, 0, 0, 1, 0, 1}, {0, 1/3, 0, 2/3, 2/3, 0, 1, 0}, 
   {0, 1, 0, 0, 2/3, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 1/2, 1, 0}, {1/2, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 1/5, 1/5, 1/5, 0, 0, 0, 0}, {0, 1/5, 0, 0, 0, 0, 0, 2/5, 1/5}, 
   {0, 0, 2/5, 3/5, 0, 0, 0, 0, 2/5}, {0, 0, 1/5, 1, 3/5, 0, 0, 2/5, 0}, 
   {3/5, 0, 3/5, 0, 1, 2/5, 2/5, 0, 1/5}, {0, 2/5, 0, 1, 0, 0, 0, 3/5, 2/5}, 
   {0, 2/5, 0, 0, 1, 1, 0, 1/5, 0}, {2/5, 2/5, 0, 0, 0, 1/5, 1, 0, 2/5}, 
   {2/5, 0, 2/5, 2/5, 0, 3/5, 3/5, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 0, 1, 0, 0, 0}, {0, 1/3, 0, 1/3, 0, 1/3, 0, 0, 1/3}, 
   {0, 1/3, 0, 1/3, 0, 0, 0, 1/3, 2/3}, {1/3, 0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 1/3, 0, 0}, {0, 0, 1/3, 0, 1/3, 1/3, 1/3, 0, 
    2/3}, {0, 0, 1/3, 2/3, 1/3, 0, 2/3, 1/3, 0}, {1/3, 1, 0, 0, 0, 2/3, 0, 
    1/3, 0}, {0, 2/3, 0, 0, 0, 1/3, 1/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 1, 1, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1, 1/2, 0, 1, 1/2, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {1/2, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {1/2, 1/2, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{3/5, 0, 3/5, 1/5, 0, 0, 4/5, 0, 0}, 
   {0, 1/5, 0, 0, 3/5, 3/5, 0, 0, 0}, {2/5, 3/5, 2/5, 1/5, 0, 0, 0, 0, 2/5}, 
   {1/5, 0, 3/5, 0, 1/5, 1/5, 0, 2/5, 4/5}, {0, 3/5, 0, 1, 0, 2/5, 2/5, 0, 
    0}, {0, 0, 0, 4/5, 0, 0, 0, 2/5, 2/5}, {0, 0, 0, 0, 2/5, 0, 4/5, 2/5, 0}, 
   {2/5, 2/5, 0, 2/5, 2/5, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {1/2, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, {0, 1, 1, 1/2, 0, 0, 1, 1/2, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 9/11, 0, 0, 7/11, 0, 0, 6/11}, {6/11, 7/11, 5/11, 4/11, 0, 1/11, 0, 
    0, 0}, {7/11, 0, 0, 3/11, 5/11, 0, 6/11, 8/11, 0}, 
   {0, 4/11, 0, 0, 2/11, 4/11, 0, 2/11, 0}, {0, 0, 2/11, 0, 4/11, 0, 0, 0, 
    4/11}, {4/11, 4/11, 0, 0, 0, 0, 2/11, 2/11, 0}, 
   {1, 0, 0, 0, 4/11, 3/11, 2/11, 0, 8/11}, {9/11, 0, 4/11, 2/11, 0, 5/11, 0, 
    0, 2/11}, {0, 7/11, 1, 7/11, 3/11, 0, 6/11, 4/11, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 1/2, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1/2, 0, 0, 1}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {1/2, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 0}, {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/4, 0, 1/4, 0, 0, 0, 3/4, 3/4, 0}, 
   {3/4, 3/4, 0, 0, 0, 0, 0, 1/4, 1/4}, {1, 3/4, 0, 0, 0, 1/4, 0, 0, 0}, 
   {0, 1/4, 1/4, 3/4, 0, 0, 1/4, 0, 0}, {0, 1/4, 0, 1, 0, 0, 1/2, 1/4, 0}, 
   {0, 0, 1, 0, 0, 1/4, 0, 0, 3/4}, {0, 0, 1/4, 0, 0, 0, 1/4, 1/2, 3/4}, 
   {0, 0, 1/2, 1/4, 1/4, 0, 0, 0, 3/4}, {0, 1/4, 0, 0, 1, 3/4, 1/4, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/5, 0, 4/5, 0, 2/5, 0}, 
   {0, 2/5, 0, 0, 0, 0, 2/5, 0, 2/5}, {0, 2/5, 0, 2/5, 0, 0, 2/5, 0, 0}, 
   {1, 1/5, 0, 2/5, 0, 1/5, 2/5, 0, 4/5}, {0, 0, 1, 3/5, 1, 0, 0, 2/5, 0}, 
   {1, 3/5, 0, 0, 0, 1, 0, 0, 0}, {2/5, 0, 1, 0, 2/5, 1/5, 0, 0, 2/5}, 
   {1, 3/5, 0, 3/5, 1, 0, 0, 4/5, 0}, {0, 2/5, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1}, {0, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/7, 0, 2/7, 2/7, 2/7, 0, 0, 0, 0}, 
   {0, 0, 0, 4/7, 0, 0, 2/7, 0, 0}, {4/7, 0, 0, 0, 0, 0, 2/7, 0, 0}, 
   {2/7, 6/7, 6/7, 0, 4/7, 1/7, 1/7, 0, 1/7}, {4/7, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 5/7, 0, 1}, {0, 6/7, 4/7, 0, 4/7, 1/7, 0, 3/7, 2/7}, 
   {4/7, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/5, 0, 1/5, 0, 1/5, 4/5, 0, 3/5, 0}, 
   {2/5, 0, 1/5, 0, 0, 3/5, 0, 4/5, 0}, {4/5, 1, 0, 0, 0, 0, 1/5, 0, 4/5}, 
   {0, 2/5, 0, 4/5, 4/5, 0, 0, 4/5, 0}, {1/5, 0, 1, 0, 0, 0, 3/5, 0, 3/5}, 
   {1/5, 2/5, 0, 1/5, 1/5, 0, 0, 4/5, 3/5}, {0, 0, 4/5, 2/5, 2/5, 0, 0, 0, 
    0}, {0, 1/5, 2/5, 1/5, 0, 1/5, 1/5, 0, 1/5}, {0, 2/5, 0, 0, 0, 1/5, 3/5, 
    0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 1/2}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1/2, 1/2, 0, 1/2, 0}, {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 1, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 1, 0}, {1, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1, 0, 1, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1/2, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {1, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 1/3, 2/3, 0, 0}, 
   {1/3, 0, 1, 1/3, 1/3, 0, 0, 0, 0}, {2/3, 2/3, 0, 1/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 1/3, 1/3, 1/3, 1/3, 1/3}, {0, 0, 0, 1/3, 2/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 1/3, 0, 1, 0, 0, 2/3}, {1/3, 0, 1, 1/3, 0, 1, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1/3, 0, 0, 2/3, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 2/3, 0, 0, 0, 1/3, 1/3}, 
   {1/3, 2/3, 2/3, 0, 0, 0, 1/3, 0, 0}, {1/3, 0, 0, 0, 0, 0, 1, 2/3, 0}, 
   {2/3, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 1/3, 2/3}, 
   {1/3, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 1, 0, 1/3, 0, 2/3, 1/3, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 0, 1/3, 1}, {0, 1, 1/3, 0, 0, 0, 1, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {1, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, {2/3, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1/3, 0, 1, 1/3, 0, 1}, {0, 0, 0, 1, 0, 1/3, 0, 1}, 
   {0, 0, 1/3, 0, 1, 0, 1, 0}, {0, 2/3, 0, 1, 0, 1/3, 0, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 1, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 1, 1/2, 0, 1, 0, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 0, 0, 1/3, 1}, 
   {0, 1/3, 0, 2/3, 0, 1/3, 0, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {1/3, 2/3, 2/3, 0, 0, 1/3, 0, 0}, {1/3, 0, 2/3, 0, 0, 1, 2/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1/2, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 0, 1/4, 0, 0, 0, 1/4, 3/4}, 
   {0, 1/4, 1/4, 0, 0, 3/4, 0, 0, 0}, {0, 1/4, 1/2, 0, 1, 1/4, 1/4, 0, 0}, 
   {1/4, 1/4, 0, 0, 3/4, 0, 1, 1/2, 0}, {1/2, 0, 0, 3/4, 0, 1, 0, 0, 1/2}, 
   {3/4, 1/4, 0, 0, 1, 0, 0, 1/4, 3/4}, {1/2, 0, 1/4, 1/2, 3/4, 0, 0, 0, 0}, 
   {0, 1/4, 1/4, 1, 0, 0, 3/4, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 1/2, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1/2, 1/2, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 4/7, 4/7, 3/7, 1, 0, 0, 0, 3/7}, 
   {5/7, 5/7, 3/7, 0, 0, 1/7, 0, 2/7, 3/7}, {4/7, 0, 0, 2/7, 0, 1, 1/7, 5/7, 
    0}, {0, 0, 2/7, 0, 0, 0, 4/7, 0, 4/7}, {4/7, 0, 0, 4/7, 4/7, 0, 0, 0, 0}, 
   {0, 4/7, 4/7, 0, 0, 4/7, 0, 0, 0}, {4/7, 0, 0, 0, 2/7, 3/7, 0, 0, 1/7}, 
   {0, 2/7, 0, 4/7, 0, 1, 2/7, 0, 3/7}, {0, 0, 0, 1/7, 3/7, 0, 3/7, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 1/2, 1, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {1, 0, 0, 1/2, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 3/4, 3/4, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 3/4, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1/4, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 3/4}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 1/4, 3/4, 0, 0, 1/2, 0}, {0, 3/4, 1/2, 0, 0, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 1}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 1/2, 0, 0}, 
   {0, 1, 1, 1, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 6/7, 2/7, 0, 0, 3/7, 1/7, 0, 1}, 
   {0, 4/7, 0, 2/7, 0, 3/7, 3/7, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1/7, 0, 3/7, 6/7}, {0, 0, 0, 0, 0, 1, 0, 3/7, 0}, 
   {0, 0, 4/7, 1/7, 3/7, 0, 1/7, 0, 1}, {6/7, 0, 4/7, 0, 0, 6/7, 0, 0, 0}, 
   {0, 0, 0, 2/7, 0, 0, 6/7, 4/7, 0}, {4/7, 0, 0, 2/7, 4/7, 0, 6/7, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {1, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1}, 
   {0, 0, 1, 0, 0, 1/2, 1, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 1}, {0, 1, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 0, 1/2, 1, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/3, 0, 0, 0, 0, 0, 1/3}, {1/3, 0, 0, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {1/3, 0, 0, 2/3, 0, 2/3, 2/3, 0, 1/3}, {1, 0, 2/3, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 1, 1/3, 2/3, 2/3, 0, 1/3, 1/3, 0}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1, 1/2}, {1, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 1, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 1, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {1/3, 1/3, 0, 0, 2/3, 2/3, 0, 1/3, 1/3}, {0, 0, 1, 2/3, 0, 0, 1, 2/3, 0}, 
   {1, 1/3, 0, 0, 0, 2/3, 0, 1/3, 1/3}, {1/3, 1/3, 0, 0, 2/3, 2/3, 1/3, 0, 
    0}, {1, 1, 0, 0, 2/3, 0, 1/3, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/3, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, {1, 1/2, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0, 1}, {1, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 1, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 1/3, 0, 0, 0, 2/3}, 
   {1/3, 0, 0, 0, 1/3, 0, 2/3, 2/3}, {0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 1/3, 2/3, 0, 0, 0}, {0, 1/3, 0, 0, 1, 2/3, 0, 0}, 
   {1, 0, 1/3, 1/3, 0, 0, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 
    1/2}, {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 
    1/2}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 2/3, 0, 0, 2/3}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 0, 2/3, 1, 1/3, 0, 1/3, 2/3, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {2/3, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 2/3, 0, 0, 1, 1/3, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 0, 1/2, 1, 0, 0, 1, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1, 1, 1, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 1, 1/2, 0, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 1, 2/3, 0, 1}, 
   {2/3, 0, 0, 1/3, 0, 1/3, 1, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 1/3, 0, 1/3, 1/3, 1, 0}, {0, 0, 0, 1, 2/3, 0, 0, 1/3}, 
   {0, 0, 0, 1, 0, 2/3, 0, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1/3, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1/3, 1, 0}, 
   {0, 2/3, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 2/3, 0, 2/3, 2/3}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 2/3, 0, 1}, 
   {2/3, 0, 0, 2/3, 1/3, 0, 1/3, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/6, 1/2, 0, 1/6, 0, 1/3, 1/3, 0, 1/6}, {1/3, 1/3, 0, 0, 0, 1/6, 1/2, 0, 
    1/3}, {1/6, 1/3, 0, 1/3, 0, 1/2, 0, 2/3, 0}, {1/6, 0, 1/6, 0, 0, 1/3, 0, 
    2/3, 1/3}, {0, 1/2, 0, 1/6, 5/6, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/3, 1/2, 0, 1/2, 1/3, 0, 1/2}, {1/2, 0, 0, 1/3, 5/6, 0, 0, 5/6, 
    0}, {1/2, 0, 5/6, 0, 0, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 3/4, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/4, 0, 3/4}, 
   {1/2, 1/2, 1/4, 0, 0, 0, 1/2, 1/2, 0}, {1/4, 0, 1/4, 1/2, 0, 1/4, 3/4, 1, 
    0}, {1/2, 1, 0, 1/2, 3/4, 0, 0, 0, 0}, {0, 3/4, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 1/4, 0, 1/4, 0, 1/2, 0, 1/4, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 3/4}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1/2, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{3/5, 0, 1/5, 2/5, 0, 0, 1, 1/5, 0}, 
   {0, 3/5, 0, 0, 2/5, 0, 0, 0, 1/5}, {4/5, 0, 4/5, 0, 2/5, 0, 2/5, 2/5, 0}, 
   {0, 0, 2/5, 2/5, 0, 2/5, 0, 4/5, 2/5}, {0, 4/5, 0, 2/5, 0, 0, 0, 0, 4/5}, 
   {0, 3/5, 0, 0, 0, 2/5, 3/5, 3/5, 0}, {3/5, 0, 3/5, 0, 0, 2/5, 0, 0, 3/5}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 2/3, 0}, {1/3, 0, 0, 1, 1/3, 0, 0, 2/3}, 
   {0, 1/3, 0, 1, 1/3, 0, 0, 0}, {1/3, 0, 1/3, 0, 0, 2/3, 0, 0}, 
   {1, 0, 1/3, 0, 2/3, 0, 0, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 2/3, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1, 1}, {1/2, 0, 1, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/7, 0, 0, 0, 1/7, 0, 1/7, 0, 5/7}, 
   {0, 2/7, 0, 3/7, 0, 1/7, 0, 1/7, 0}, {0, 0, 0, 6/7, 0, 0, 0, 6/7, 6/7}, 
   {2/7, 0, 4/7, 0, 4/7, 4/7, 6/7, 0, 0}, {0, 4/7, 2/7, 2/7, 6/7, 0, 0, 0, 
    6/7}, {0, 4/7, 0, 3/7, 0, 5/7, 1, 0, 1/7}, {0, 0, 0, 2/7, 1/7, 0, 6/7, 
    5/7, 0}, {2/7, 0, 2/7, 0, 5/7, 6/7, 0, 1, 2/7}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 1, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1, 0, 0, 0, 0}, {1/3, 0, 1/3, 0, 1/3, 2/3, 0, 0}, 
   {1, 0, 0, 1, 2/3, 0, 0, 0}, {1/3, 0, 2/3, 1/3, 0, 2/3, 0, 2/3}, 
   {0, 1/3, 1, 0, 1/3, 0, 2/3, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 0, 1, 1/2}, 
   {0, 1/2, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 1, 0, 0, 1/2}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 1/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 0, 2/3, 0}, {0, 2/3, 2/3, 0, 0, 1/3, 2/3, 0, 1/3}, 
   {0, 0, 0, 1, 1/3, 0, 1/3, 1, 0}, {0, 0, 2/3, 0, 2/3, 1/3, 0, 0, 1}, 
   {0, 2/3, 0, 1/3, 0, 0, 2/3, 0, 1}, {0, 0, 0, 1, 0, 2/3, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 1/3, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, {0, 0, 1, 1/3, 0, 1/3, 0, 1}, 
   {2/3, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1/3, 2/3, 1/3, 0, 1/3}, 
   {0, 0, 0, 0, 1, 1/3, 0, 1}, {0, 2/3, 1/3, 1/3, 0, 0, 1, 0}, 
   {0, 0, 1, 1/3, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 1, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, {0, 1, 0, 1/2, 1, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/3, 1, 0, 0, 1/3}, 
   {2/3, 1/3, 1/3, 0, 0, 1/3, 2/3, 0, 0}, {1, 2/3, 0, 1, 0, 0, 0, 0, 1/3}, 
   {0, 0, 0, 1/3, 0, 0, 2/3, 2/3, 1/3}, {0, 0, 1/3, 1, 1/3, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 2/3, 1/3, 0, 0, 2/3}, {0, 1/3, 1/3, 0, 0, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 2/3, 0, 1/3, 0, 0, 0, 0}, {0, 0, 0, 0, 1/3, 2/3, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 1/3, 0, 1/3, 1/3, 1/3, 0}, {2/3, 1/3, 0, 1/3, 0, 2/3, 0, 0, 
    0}, {0, 1/3, 0, 2/3, 0, 0, 0, 0, 1/3}, {0, 0, 0, 1, 0, 0, 0, 1/3, 2/3}, 
   {1, 1, 0, 0, 1/3, 0, 2/3, 2/3, 0}, {1/3, 0, 2/3, 0, 1/3, 0, 1/3, 0, 0}, 
   {1/3, 0, 0, 0, 1, 1/3, 0, 0, 2/3}, {0, 1/3, 2/3, 0, 0, 0, 1/3, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1/2, 1}, {1/2, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 1, 1/2, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1/3, 1/3, 2/3, 1/3, 0}, {0, 2/3, 0, 1/3, 0, 0, 0, 1/3, 
    2/3}, {0, 1/3, 2/3, 0, 0, 0, 1/3, 0, 0}, {0, 1/3, 1, 0, 1, 0, 0, 0, 1/3}, 
   {0, 1/3, 0, 0, 1/3, 1/3, 2/3, 0, 2/3}, {1, 0, 0, 2/3, 0, 0, 1, 1/3, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/3, 2/3}, {0, 2/3, 1/3, 2/3, 0, 1, 0, 2/3, 0}, 
   {2/3, 1/3, 0, 0, 1/3, 1/3, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/5, 4/5, 0, 0, 0, 0, 2/5}, {2/5, 0, 0, 0, 0, 0, 2/5, 0, 0}, 
   {1/5, 1/5, 2/5, 4/5, 0, 4/5, 0, 3/5, 0}, {3/5, 1, 0, 0, 0, 0, 2/5, 1, 0}, 
   {0, 2/5, 1, 0, 0, 4/5, 1/5, 0, 3/5}, {0, 2/5, 1, 0, 2/5, 0, 2/5, 3/5, 0}, 
   {0, 0, 1, 0, 4/5, 0, 0, 3/5, 0}, {1, 3/5, 0, 0, 0, 0, 1/5, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 0, 0, 0, 1, 1/2}, 
   {1, 0, 1, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1, 1, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 2/3, 1/3, 1/3, 0}, 
   {1/3, 1/3, 0, 0, 2/3, 0, 0, 0, 1/3}, {1/3, 1/3, 0, 0, 0, 0, 0, 0, 1}, 
   {2/3, 0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 2/3, 2/3, 2/3, 0, 2/3, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 0, 1/3, 0, 0, 2/3, 2/3, 0, 1}, 
   {0, 2/3, 1, 0, 0, 0, 0, 2/3, 1/3}, {1/3, 1/3, 0, 2/3, 0, 0, 1, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 2/3, 0, 1/3, 0, 1/3}, 
   {1/3, 0, 2/3, 0, 0, 0, 0, 1/3, 0}, {0, 0, 0, 2/3, 0, 0, 0, 1, 0}, 
   {1/3, 0, 0, 0, 1, 0, 0, 0, 1}, {1/3, 0, 1/3, 0, 2/3, 0, 0, 0, 1}, 
   {0, 2/3, 0, 1/3, 0, 1, 1, 0, 0}, {1/3, 0, 0, 2/3, 0, 2/3, 1/3, 0, 1}, 
   {1/3, 0, 0, 0, 1, 0, 1, 2/3, 0}, {0, 2/3, 0, 1/3, 0, 1, 0, 1/3, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1, 1, 1/2, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1}, {1, 1/2, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 1/2, 1/2, 0, 1, 1/2, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 1, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/3, 0, 0, 0, 0, 1/3, 1/3}, {0, 1/3, 0, 2/3, 0, 0, 1, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 0, 0, 2/3, 0, 2/3, 2/3, 0}, {0, 1, 0, 0, 2/3, 0, 0, 1/3, 1}, 
   {1, 0, 1/3, 0, 0, 2/3, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 1, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {1, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 1/3, 0, 2/3, 0}, 
   {1/3, 0, 0, 1/3, 0, 2/3, 0, 0}, {1/3, 0, 0, 2/3, 0, 1/3, 1, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 0, 1}, {1, 0, 0, 0, 0, 1/3, 1, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 2/3, 1}, {0, 0, 2/3, 1, 0, 0, 0, 1}, 
   {0, 2/3, 1/3, 0, 1/3, 1, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1/4, 0, 1/4, 0, 3/4, 1/4, 1/4, 0}, {1/2, 0, 1/2, 0, 1/4, 0, 0, 1/2, 
    1/4}, {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 1, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/4}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1/4}, 
   {0, 1/4, 0, 1/4, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 1/2, 0}, {1/2, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1/3, 0, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 1/3, 1, 0}, {0, 2/3, 0, 1/3, 0, 1/3, 0, 1}, 
   {1/3, 0, 2/3, 2/3, 0, 0, 0, 0}, {2/3, 0, 1/3, 0, 0, 0, 1/3, 1/3}, 
   {0, 0, 0, 2/3, 1, 1/3, 0, 0}, {0, 1, 1/3, 0, 0, 0, 1/3, 0}, 
   {0, 2/3, 0, 0, 1/3, 1/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1, 0, 0, 1}, {0, 2/3, 2/3, 1, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 1/3, 0, 1/3, 1/3, 1, 0}, {0, 2/3, 0, 1/3, 0, 0, 2/3, 1/3}, 
   {0, 0, 2/3, 1, 0, 0, 0, 1/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1, 0, 1, 0, 0, 0, 1/2, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 1, 1}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1/2, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 0, 1, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1, 0, 1/2, 0}, {1, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 2/3, 0, 0, 0, 1/3, 0, 0, 1}, 
   {0, 1/3, 2/3, 1, 2/3, 0, 0, 0, 0}, {1/3, 0, 0, 2/3, 1/3, 0, 0, 1/3, 2/3}, 
   {1/3, 0, 2/3, 1/3, 0, 2/3, 1/3, 0, 0}, {0, 1/3, 1, 0, 1/3, 1, 0, 0, 0}, 
   {1, 0, 0, 1/3, 0, 0, 1, 2/3, 0}, {0, 2/3, 1/3, 0, 0, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 0, 1/3, 0, 1/3, 0}, {0, 0, 0, 0, 1/3, 0, 0, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 1, 0, 1/3, 0, 1}, {0, 0, 2/3, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 0, 0, 0, 0, 1, 1/3, 0, 1}, 
   {0, 0, 0, 1/3, 1/3, 0, 0, 1, 2/3}, {2/3, 0, 0, 1/3, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 0, 2/3, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/3, 1, 0}, {1/3, 0, 1, 0, 0, 0, 1, 1/3, 0}, 
   {0, 1/3, 0, 2/3, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 2/3, 1}, 
   {2/3, 0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 2/3, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 0, 0, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 2/3, 1, 0, 0, 0, 1/3}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 2/3, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1/3, 0, 0, 0, 0, 0, 1, 1/3}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1/3, 0, 0, 1, 0, 1}, {1/3, 0, 0, 0, 1, 2/3, 1/3, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 2/3, 2/3, 1/3, 1, 0, 0, 1, 0}, 
   {0, 2/3, 0, 0, 0, 1, 1/3, 0, 1}, {0, 0, 0, 1, 1, 0, 2/3, 1, 0}, 
   {0, 0, 2/3, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 2/3, 1, 0}, 
   {0, 0, 0, 1/3, 1, 0, 1/3, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 2/3, 0, 1, 0, 1/3, 0, 0, 1/3}, {0, 0, 0, 0, 1/3, 0, 1/3, 1, 0}, 
   {0, 2/3, 0, 1/3, 0, 1/3, 1/3, 1/3, 0}, {0, 0, 0, 2/3, 1/3, 2/3, 0, 0, 
    1/3}, {0, 0, 0, 0, 1/3, 2/3, 2/3, 0, 1/3}, {0, 0, 2/3, 0, 0, 0, 0, 0, 
    2/3}, {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, {2/3, 0, 2/3, 2/3, 0, 0, 0, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1/2, 1/2, 0, 1/2, 1}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0}, {0, 1/2, 1, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0}, {0, 1/2, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 0}, {0, 1/3, 0, 0, 1/3, 1, 0}, 
   {1/3, 0, 2/3, 0, 0, 0, 1/3}, {0, 1/3, 0, 2/3, 0, 0, 1}, 
   {1/3, 0, 2/3, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 1}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0, 0}, {1/2, 1/2, 0, 1, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {1/2, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1/2, 1, 1/2, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 1, 2/3, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 0, 1, 0, 0}, {0, 1/3, 0, 0, 1, 0, 0, 0, 1}, 
   {2/3, 0, 2/3, 1/3, 0, 1, 0, 1/3, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {2/3, 1/3, 0, 0, 0, 2/3, 0, 1/3, 1}, {1/3, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 2/3, 0, 1, 0, 1, 1/3, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 1, 0, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/6, 1/2, 0, 0, 1/6, 1/3, 1/6, 0}, {0, 0, 1/2, 1/6, 0, 1/2, 1/3, 0, 
    0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 1/2, 1/2, 0, 1/6, 0, 
    1/2}, {2/3, 0, 0, 1/2, 0, 1, 0, 0, 1/3}, {1, 5/6, 0, 0, 0, 1, 1/2, 0, 0}, 
   {2/3, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 2/3, 0, 2/3, 1/3, 0, 1/3, 0}, 
   {0, 2/3, 1/2, 0, 0, 1/3, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1/3, 1, 1/3, 0}, {0, 0, 0, 1, 1/3, 0, 2/3, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 2/3, 0, 1/3, 1/3, 0, 0, 1}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 1/3, 0, 1/3, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 1, 1/3, 0, 0, 1/3, 1/3, 0}, {0, 1/3, 1, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 1/3, 1, 1/3, 0, 2/3, 0}, {1/3, 1, 0, 0, 0, 1/3, 1/3, 2/3, 0}, 
   {1/3, 0, 1, 2/3, 2/3, 0, 0, 0, 1/3}, {0, 0, 1/3, 0, 0, 2/3, 0, 0, 2/3}, 
   {2/3, 0, 0, 1/3, 0, 2/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1, 0, 1/2, 0, 1, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, {1, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1, 1, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 1, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {1, 0, 1, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1/2, 1/2, 0, 0, 1, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1}, {1/2, 0, 1, 1, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1/3, 0, 2/3, 0, 0, 1/3, 0}, {1, 0, 0, 0, 1, 0, 1/3, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1/3, 1, 0, 1, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 1, 0, 0, 1/3}, {0, 0, 1, 1, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 1, 0, 0, 1/3, 0, 2/3}, {0, 1, 0, 0, 0, 1, 0, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 1/2, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {1, 0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 1, 1, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1, 1/2, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1/6, 0, 1/6, 0, 0, 0}, 
   {0, 1/6, 1/6, 0, 1/2, 0, 2/3, 0, 0}, {1/6, 5/6, 0, 2/3, 1, 0, 0, 0, 5/6}, 
   {0, 0, 1/2, 1/3, 0, 1/3, 1/2, 1/2, 0}, {0, 1/2, 0, 1/6, 0, 5/6, 0, 0, 
    1/2}, {2/3, 1/2, 0, 0, 1/2, 0, 5/6, 5/6, 0}, {1/6, 0, 5/6, 0, 1/2, 0, 0, 
    2/3, 1/2}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1/3, 1/3, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, {0, 0, 0, 1/3, 1/3, 0, 1/3, 1}, 
   {0, 0, 1, 2/3, 0, 1/3, 0, 0}, {2/3, 0, 1/3, 0, 0, 1/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {1/4, 1/2, 0, 3/4, 0, 1, 0, 0, 0}, {1/4, 0, 1, 3/4, 0, 0, 0, 0, 1/2}, 
   {1/4, 0, 1, 0, 0, 1/2, 1/2, 3/4, 0}, {1/2, 1/2, 0, 1/4, 1, 0, 0, 0, 0}, 
   {0, 0, 1/4, 0, 3/4, 1/2, 3/4, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1/4, 0, 0, 0, 1/4, 1/4, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 1, 1/2, 0, 0}, {0, 0, 1, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 2/3, 0, 0, 2/3, 2/3}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {1/3, 1/3, 2/3, 0, 0, 0, 1/3, 0, 0}, {0, 0, 1, 2/3, 0, 0, 0, 1/3, 1/3}, 
   {1/3, 1/3, 0, 2/3, 2/3, 0, 1, 2/3, 0}, {0, 0, 1/3, 0, 0, 2/3, 1/3, 0, 0}, 
   {1, 1/3, 0, 0, 0, 0, 0, 1/3, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 1, 1/3, 0, 0}, 
   {1/3, 1, 0, 0, 1, 0, 0, 0, 2/3}, {0, 2/3, 1/3, 0, 2/3, 0, 0, 1/3, 1}, 
   {0, 0, 2/3, 1, 1, 0, 0, 0, 0}, {2/3, 1, 0, 1/3, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 0, 0, 1/3, 0, 2/3, 2/3, 0}, {2/3, 0, 1/3, 0, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 4/5, 3/5, 1/5, 0, 2/5, 0, 0, 0}, 
   {0, 0, 1, 1/5, 2/5, 0, 0, 0, 2/5}, {1/5, 1/5, 0, 0, 3/5, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 3/5, 0, 2/5, 0}, {4/5, 0, 1, 0, 1/5, 1/5, 2/5, 0, 0}, 
   {1, 1/5, 0, 1, 0, 0, 2/5, 0, 0}, {4/5, 4/5, 0, 0, 2/5, 0, 0, 0, 0}, 
   {0, 4/5, 2/5, 4/5, 0, 0, 2/5, 0, 0}, {0, 0, 2/5, 4/5, 0, 2/5, 0, 2/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 1/4, 0, 0}, {0, 0, 1/4, 1/2, 3/4, 0, 0, 0, 1/4}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/4, 1/2}, {1/4, 1/4, 1/2, 0, 0, 1/2, 0, 0, 1/4}, 
   {1/4, 0, 0, 1/4, 0, 0, 0, 3/4, 1}, {0, 1/2, 0, 1/2, 0, 1, 1/4, 0, 0}, 
   {0, 1/4, 0, 0, 0, 0, 3/4, 1/4, 0}, {1/4, 1, 0, 0, 0, 3/4, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/9, 0, 4/9, 4/9, 2/9, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 4/9, 0}, 
   {4/9, 4/9, 0, 0, 2/3, 0, 4/9, 0, 2/3}, {0, 0, 1/9, 4/9, 2/3, 0, 2/9, 5/9, 
    0}, {8/9, 0, 1/3, 0, 0, 0, 0, 1, 0}, {5/9, 5/9, 0, 4/9, 0, 0, 1/3, 0, 
    1/3}, {7/9, 1, 0, 4/9, 0, 2/9, 0, 7/9, 0}, {1/9, 1, 0, 2/9, 0, 2/3, 0, 
    1/3, 2/9}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/3, 0, 0, 0, 0, 1/3, 0, 1}, 
   {0, 0, 0, 1/3, 1, 1/3, 0, 0}, {0, 1/3, 0, 0, 2/3, 1/3, 0, 2/3}, 
   {0, 2/3, 1/3, 0, 2/3, 0, 0, 0}, {0, 0, 1, 0, 0, 2/3, 1, 0}, 
   {0, 0, 1, 2/3, 0, 0, 0, 0}, {1/3, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 0, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/7, 1/7, 0, 0, 0, 3/7, 2/7, 4/7, 0}, 
   {0, 3/7, 0, 0, 0, 5/7, 0, 6/7, 0}, {5/7, 0, 1, 3/7, 1/7, 0, 0, 0, 0}, 
   {5/7, 0, 1, 0, 6/7, 1, 0, 0, 0}, {0, 1/7, 2/7, 0, 0, 1/7, 5/7, 1/7, 5/7}, 
   {0, 1, 0, 5/7, 5/7, 0, 2/7, 0, 0}, {2/7, 4/7, 0, 0, 0, 0, 0, 0, 4/7}, 
   {0, 4/7, 0, 0, 0, 2/7, 2/7, 0, 2/7}, {2/7, 0, 4/7, 6/7, 0, 0, 0, 4/7, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1, 1/2, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {1, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1/2, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 4/7, 6/7, 0, 0, 0, 0, 2/7, 4/7}, 
   {2/7, 2/7, 0, 4/7, 0, 0, 6/7, 0, 0}, {0, 0, 6/7, 4/7, 0, 4/7, 0, 2/7, 0}, 
   {1/7, 2/7, 0, 0, 6/7, 0, 1/7, 6/7, 0}, {0, 1, 1/7, 0, 0, 0, 0, 5/7, 1}, 
   {3/7, 0, 2/7, 0, 4/7, 4/7, 3/7, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1/7, 1}, 
   {0, 3/7, 1/7, 2/7, 0, 6/7, 1, 0, 0}, {1/7, 0, 4/7, 0, 0, 0, 6/7, 1/7, 
    3/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 2/3, 1/3, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1/3, 1, 0}, {0, 2/3, 0, 1/3, 0, 0, 2/3, 1}, 
   {0, 0, 0, 1, 0, 2/3, 0, 1}, {0, 0, 1/3, 0, 1, 1/3, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 1, 0, 0, 1/2, 1, 0, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 0, 1/3, 1, 0, 0, 0}, 
   {1/3, 0, 1/3, 2/3, 0, 0, 2/3, 0, 0}, {1/3, 0, 0, 1/3, 0, 0, 1, 1/3, 0}, 
   {0, 0, 1/3, 1, 2/3, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {1, 1/3, 0, 0, 1/3, 0, 0, 0, 1/3}, {0, 1/3, 1/3, 0, 0, 2/3, 1/3, 0, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 0, 2/3, 2/3}, {0, 0, 1/3, 0, 1/3, 1, 1/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1, 0, 1, 1, 0, 1}, 
   {0, 1/2, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 1, 1, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 0, 0, 0, 0, 1, 1/3}, 
   {0, 2/3, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 1/3, 0, 0, 2/3}, 
   {1, 1/3, 0, 0, 0, 0, 1, 0, 0}, {1, 2/3, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1/3, 1/3, 0, 2/3, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 1, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 1/2}, {1, 0, 1/2, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1, 1/2}, {1/2, 1, 0, 0, 0, 1, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 1, 0}, {1/2, 0, 0, 1, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 4/5, 0, 4/5, 0, 0, 0, 0}, {0, 4/5, 0, 0, 0, 0, 4/5, 4/5, 0}, 
   {1/5, 1/5, 0, 0, 0, 1/5, 0, 4/5, 4/5}, {2/5, 0, 1, 1, 1/5, 0, 2/5, 2/5, 
    0}, {1/5, 1, 0, 0, 0, 1/5, 0, 0, 4/5}, {4/5, 0, 1/5, 0, 0, 1, 4/5, 0, 0}, 
   {3/5, 1, 0, 1/5, 1/5, 0, 0, 0, 0}, {0, 0, 1/5, 4/5, 0, 3/5, 0, 0, 2/5}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 1, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1, 1/2, 0}, {0, 1/2, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1/2, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 0, 1, 0, 1/2, 0, 1/2, 1}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/3, 2/3, 1, 0, 0, 0, 1/3, 0, 1/3}, {0, 0, 0, 1, 0, 1, 0, 2/3, 1}, 
   {0, 0, 0, 2/3, 1, 0, 1, 1/3, 0}, {0, 0, 0, 1/3, 0, 1, 1, 1/3, 0}, 
   {1/3, 0, 0, 0, 1, 0, 0, 1/3, 1}, {0, 1/3, 0, 0, 1/3, 0, 1/3, 0, 1}, 
   {2/3, 0, 0, 0, 0, 2/3, 1/3, 0, 0}, {1/3, 0, 1/3, 0, 0, 0, 0, 1/3, 0}, 
   {0, 0, 0, 0, 1/3, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/7, 0, 3/7, 1/7, 4/7, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 3/7, 2/7, 1/7, 4/7, 0}, {0, 0, 3/7, 3/7, 0, 0, 4/7, 0, 0}, 
   {0, 0, 2/7, 4/7, 1, 2/7, 0, 1/7, 0}, {0, 0, 3/7, 0, 0, 3/7, 3/7, 0, 1}, 
   {1, 1, 0, 6/7, 0, 4/7, 0, 0, 0}, {3/7, 5/7, 0, 0, 3/7, 0, 0, 1/7, 2/7}, 
   {0, 0, 4/7, 3/7, 0, 5/7, 0, 1, 0}, {4/7, 6/7, 0, 0, 4/7, 0, 0, 0, 1/7}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/3, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1/3, 0, 0, 1}, {0, 1/3, 0, 2/3, 1/3, 0, 1/3, 1/3, 0}, 
   {1/3, 1/3, 0, 1, 0, 1/3, 0, 0, 0}, {0, 0, 0, 1, 0, 2/3, 0, 0, 1/3}, 
   {0, 0, 1, 0, 1/3, 2/3, 0, 1, 0}, {1, 0, 2/3, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 2/3, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1/3, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/5, 0, 1/2, 0, 4/5, 0, 0, 0, 2/5}, 
   {1/5, 2/5, 2/5, 0, 3/5, 0, 1/10, 0, 0}, {7/10, 2/5, 0, 0, 0, 2/5, 1/10, 
    2/5, 0}, {1/5, 0, 0, 2/5, 3/5, 0, 1/2, 3/5, 0}, 
   {0, 0, 0, 0, 0, 1/10, 4/5, 3/5, 3/5}, {0, 0, 4/5, 3/5, 0, 7/10, 0, 0, 
    3/5}, {1/5, 2/5, 0, 0, 0, 0, 1/10, 0, 3/5}, {1/10, 1/2, 0, 1/10, 1/10, 0, 
    0, 0, 3/5}, {0, 0, 2/5, 1/5, 0, 3/5, 1/2, 1/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1, 0, 0, 0, 1/3, 1, 0}, {0, 1/3, 0, 0, 0, 2/3, 0, 0, 1}, 
   {0, 1, 2/3, 0, 2/3, 0, 1/3, 1/3, 0}, {1/3, 0, 1, 0, 2/3, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {2/3, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0, 2/3}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/5, 1/5, 0, 0, 4/5, 0, 1/5, 2/5}, {1/5, 0, 2/5, 0, 0, 2/5, 1/5, 0, 
    3/5}, {3/5, 2/5, 0, 2/5, 0, 0, 1/5, 0, 1/5}, {0, 0, 4/5, 2/5, 2/5, 0, 0, 
    2/5, 0}, {0, 0, 2/5, 2/5, 2/5, 2/5, 0, 0, 0}, 
   {0, 0, 0, 0, 2/5, 4/5, 4/5, 0, 2/5}, {3/5, 2/5, 0, 0, 0, 0, 0, 3/5, 0}, 
   {0, 1/5, 1/5, 4/5, 2/5, 0, 1/5, 0, 1/5}, {1/5, 0, 0, 0, 0, 2/5, 2/5, 1, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 2/3, 0, 0, 1/3, 0, 0, 2/3}, 
   {0, 0, 1/3, 1/3, 0, 0, 1/3, 1/3, 0}, {1/3, 1/3, 0, 2/3, 1/3, 0, 0, 0, 
    1/3}, {0, 1/3, 0, 0, 1/3, 0, 2/3, 0, 1/3}, {2/3, 0, 0, 1/3, 0, 1, 0, 0, 
    1/3}, {0, 1, 2/3, 0, 1/3, 0, 1/3, 1, 0}, {2/3, 0, 1/3, 1/3, 0, 0, 2/3, 0, 
    1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 0, 1/2}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 1, 1/2, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 1/3, 1, 0, 1/3, 1/3}, 
   {2/3, 0, 0, 1/3, 0, 0, 1/3, 0, 0}, {0, 1, 1/3, 0, 1/3, 2/3, 0, 0, 1/3}, 
   {0, 0, 2/3, 1, 1/3, 0, 0, 1/3, 1/3}, {0, 2/3, 2/3, 0, 0, 1/3, 1/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 1/3, 0, 1/3, 0, 0}, {1, 0, 0, 0, 1/3, 2/3, 0, 1/3, 0}, 
   {0, 2/3, 0, 1, 1/3, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 1, 0, 0, 1, 0, 1/2, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1/2, 1/2}, {0, 0, 1, 0, 0, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 1, 0, 1/2, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 0, 1, 1/3}, {2/3, 0, 2/3, 0, 1/3, 0, 0, 1/3, 1/3}, 
   {0, 0, 2/3, 1/3, 0, 1, 1/3, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 2/3}, 
   {2/3, 0, 0, 1, 0, 1, 0, 1/3, 1/3}, {2/3, 0, 0, 0, 1/3, 0, 1, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 1, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/7, 0, 0, 0, 2/7, 1, 5/7, 0}, {0, 1, 0, 0, 0, 0, 0, 3/7}, 
   {5/7, 0, 0, 2/7, 0, 0, 0, 1}, {0, 1/7, 6/7, 0, 4/7, 3/7, 1/7, 0}, 
   {3/7, 0, 0, 0, 0, 0, 2/7, 1}, {4/7, 0, 0, 0, 0, 0, 2/7, 6/7}, 
   {6/7, 0, 2/7, 0, 0, 0, 0, 6/7}, {0, 0, 0, 6/7, 0, 4/7, 2/7, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1/3, 0, 0}, {0, 0, 1/3, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 2/3, 0, 0, 0, 1/3, 1, 0}, {1, 0, 1, 0, 1/3, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 1/3, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 2/3, 0, 1/3, 0, 1}, {2/3, 1, 0, 0, 2/3, 0, 0, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 0, 0, 0, 0, 0, 0, 2/5}, 
   {0, 0, 0, 2/5, 0, 0, 0, 0, 0}, {0, 0, 0, 3/5, 1, 0, 1, 1/5, 0}, 
   {4/5, 0, 0, 0, 2/5, 1/5, 4/5, 0, 3/5}, {2/5, 0, 2/5, 2/5, 0, 1, 0, 0, 1}, 
   {0, 2/5, 4/5, 1/5, 3/5, 4/5, 0, 0, 1/5}, {0, 0, 0, 1/5, 1, 0, 0, 4/5, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 1, 0, 1, 0, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 1/3, 0, 1/3, 2/3}, 
   {0, 0, 2/3, 1, 1/3, 0, 1/3, 0, 1}, {0, 0, 0, 2/3, 0, 1, 0, 1/3, 0}, 
   {0, 0, 2/3, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1/3, 1, 0, 2/3, 1, 0}, 
   {0, 2/3, 0, 1/3, 1, 0, 2/3, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, {1, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 1, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1/2, 0, 1, 0}, {0, 1, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, {1, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 0, 3/5, 0, 0, 0, 1, 1}, {0, 2/5, 1, 0, 0, 1/5, 3/5, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {3/5, 0, 0, 1, 0, 1/5, 2/5, 0, 0}, 
   {4/5, 0, 0, 1, 0, 0, 3/5, 0, 0}, {0, 0, 2/5, 0, 0, 3/5, 0, 3/5, 1}, 
   {0, 2/5, 0, 0, 3/5, 0, 2/5, 2/5, 0}, {2/5, 0, 0, 0, 3/5, 2/5, 0, 2/5, 0}, 
   {2/5, 3/5, 0, 0, 0, 0, 3/5, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 1, 1/2, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 1}, {1, 1/2, 0, 0, 0, 1, 0, 1, 0}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/4, 1, 0, 0, 0, 3/4, 0, 1}, {1, 0, 0, 1/4, 3/4, 0, 1/4, 1, 0}, 
   {0, 1/4, 1, 0, 3/4, 0, 0, 0, 1}, {0, 0, 0, 1/4, 0, 3/4, 0, 3/4, 0}, 
   {3/4, 1/4, 0, 0, 0, 0, 0, 0, 1/2}, {0, 3/4, 1/2, 1/4, 3/4, 0, 3/4, 0, 0}, 
   {1/4, 0, 0, 1/2, 0, 3/4, 0, 0, 1/4}, {0, 1/4, 1/2, 1/2, 0, 0, 1/4, 1, 0}, 
   {1, 1/2, 0, 0, 0, 0, 3/4, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 1, 0, 0, 1/2, 0}, {1, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 1/2}, 
   {0, 1, 1, 1, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 1/2, 1/2, 0, 1/2, 1/2, 0, 
    1}, {0, 1/2, 0, 0, 1/2, 1, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 1, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 2/3, 1/3, 0, 1, 0, 1, 0}, {2/3, 0, 0, 1/3, 2/3, 1/3, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 1, 0}, {0, 2/3, 1/3, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/5, 2/5, 3/5, 0, 0, 1/5, 0, 2/5, 0}, 
   {0, 3/5, 0, 3/5, 3/5, 0, 0, 4/5, 0}, {1/5, 0, 1, 2/5, 0, 3/5, 0, 0, 0}, 
   {1, 0, 1, 1/5, 1, 0, 0, 2/5, 0}, {0, 3/5, 0, 0, 2/5, 1/5, 0, 0, 4/5}, 
   {2/5, 1, 0, 0, 0, 1, 0, 0, 0}, {2/5, 0, 2/5, 2/5, 0, 2/5, 0, 0, 0}, 
   {2/5, 0, 0, 0, 0, 0, 4/5, 0, 2/5}, {0, 2/5, 0, 2/5, 2/5, 0, 4/5, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 1, 1/3, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 2/3, 2/3, 1/3, 2/3, 0, 0, 0, 0}, {2/3, 0, 0, 1, 0, 1/3, 0, 1, 0}, 
   {0, 0, 1, 0, 2/3, 0, 1, 0, 0}, {0, 2/3, 2/3, 1/3, 1/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 2/3, 0, 1, 0}, {1/3, 1, 0, 0, 0, 1/3, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 1/3, 0, 0, 1/3}, {0, 0, 1/3, 0, 1/3, 1, 0}, 
   {0, 2/3, 0, 1/3, 0, 1/3, 0}, {0, 0, 1, 0, 1/3, 0, 1/3}, 
   {1/3, 1/3, 0, 0, 0, 1/3, 1/3}, {2/3, 0, 0, 2/3, 1/3, 0, 0}, 
   {0, 2/3, 0, 0, 1/3, 0, 2/3}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1/2, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/6, 7/18, 2/3, 0, 2/9, 2/9, 0, 0, 1/18}, {1/6, 7/18, 0, 2/3, 0, 2/3, 0, 
    2/9, 1/18}, {0, 0, 13/18, 0, 2/9, 0, 11/18, 1/6, 0}, 
   {5/6, 11/18, 0, 0, 0, 5/18, 0, 1/18, 0}, {2/9, 0, 5/18, 11/18, 11/18, 0, 
    0, 1/18, 0}, {0, 0, 1/18, 2/3, 0, 1/18, 5/6, 0, 1/6}, 
   {0, 0, 1/9, 1/6, 11/18, 7/9, 5/18, 0, 2/9}, {7/9, 1, 0, 5/18, 17/18, 0, 
    1/18, 0, 0}, {0, 0, 1, 0, 0, 7/18, 0, 11/18, 11/18}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 0, 1, 2/3, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1/3, 1/3, 0, 2/3, 2/3, 0}, {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {2/3, 1/3, 0, 1, 1/3, 0, 0, 0, 2/3}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1/3, 0, 2/3, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 4/5, 0, 1/5, 2/5, 0, 1/5, 0}, {2/5, 0, 0, 1, 0, 3/5, 1, 0, 1}, 
   {0, 4/5, 4/5, 0, 1/5, 0, 0, 3/5, 0}, {0, 0, 0, 2/5, 2/5, 0, 2/5, 2/5, 0}, 
   {0, 2/5, 0, 4/5, 0, 2/5, 0, 0, 0}, {4/5, 2/5, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 2/5, 0, 3/5, 0, 3/5, 0, 1}, {4/5, 0, 0, 1/5, 0, 1/5, 0, 1, 0}, 
   {2/5, 0, 0, 0, 1, 2/5, 1/5, 0, 1/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1/2}, {1, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1/2}, {0, 1, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1, 1/2}, {1/2, 0, 0, 1, 1/2, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, {1/3, 1, 0, 0, 0, 2/3, 0, 1, 1}, 
   {0, 2/3, 1, 0, 2/3, 0, 1/3, 0, 0}, {0, 0, 1, 2/3, 0, 0, 1/3, 2/3, 0}, 
   {0, 0, 1, 0, 0, 2/3, 0, 1/3, 1}, {1, 1/3, 0, 2/3, 0, 0, 1/3, 0, 2/3}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1, 1/2}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1/2, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 1, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, {0, 1/2, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1/2, 0, 0, 1, 0, 1, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1, 0, 1, 1/2}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 1, 1/2, 1, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 1, 1, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {1, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/5, 0, 0, 1, 1/5, 0, 0, 0}, 
   {1/5, 0, 1, 1/5, 0, 0, 0, 2/5, 0}, {4/5, 0, 0, 4/5, 0, 1, 0, 0, 0}, 
   {2/5, 2/5, 0, 2/5, 0, 1/5, 2/5, 0, 2/5}, {0, 0, 0, 0, 4/5, 1/5, 0, 4/5, 
    4/5}, {1/5, 0, 3/5, 0, 3/5, 0, 4/5, 0, 2/5}, {0, 1, 0, 1, 0, 3/5, 0, 0, 
    0}, {1/5, 0, 1/5, 0, 1, 0, 4/5, 2/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {1/2, 0, 1, 1, 0, 0, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 1/2}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 1/2, 0, 1, 0, 1, 1/2}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1, 0, 1}, {1/2, 1, 0, 0, 1/2, 1/2, 0, 1/2, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 2/3, 0, 0, 1, 1/3, 0, 0, 0}, 
   {0, 1/3, 1, 0, 0, 0, 1/3, 0, 2/3}, {2/3, 0, 0, 2/3, 1, 0, 0, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 0, 0, 1/3}, {1/3, 0, 0, 0, 0, 1, 1/3, 2/3, 0}, 
   {1/3, 1, 0, 0, 0, 0, 1/3, 0, 0}, {1/3, 0, 2/3, 0, 1/3, 1/3, 0, 1/3, 1/3}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1/3, 0, 0, 2/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/7, 2/7, 0, 4/7, 0, 0, 0, 6/7}, 
   {2/7, 0, 0, 0, 2/7, 0, 2/7, 0, 4/7}, {2/7, 4/7, 0, 4/7, 0, 0, 2/7, 2/7, 
    0}, {0, 2/7, 2/7, 0, 3/7, 1, 1, 0, 1/7}, {0, 0, 0, 1, 0, 2/7, 0, 5/7, 
    4/7}, {2/7, 0, 0, 5/7, 2/7, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 5/7, 0, 1}, 
   {0, 0, 0, 0, 5/7, 1, 0, 1, 0}, {0, 0, 4/7, 1, 0, 2/7, 3/7, 0, 1/7}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {1/3, 2/3, 0, 1/3, 0, 1/3, 0, 1, 0}, {1/3, 0, 0, 0, 1, 0, 1/3, 0, 1}, 
   {0, 1/3, 1/3, 0, 1/3, 2/3, 0, 1/3, 0}, {1/3, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1/3, 0, 2/3, 0, 1/3, 2/3, 0, 1/3, 0}, {1/3, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1, 1, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1/2, 1, 0}, {1, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1, 1/2, 0, 0}, {1/2, 1, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {1, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1/2, 0}, {1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 5/6, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/6, 0, 1/2, 0, 5/6, 1/6, 0, 0, 1/6}, {1/3, 0, 1/2, 0, 2/3, 0, 0, 1/6, 
    0}, {0, 0, 5/6, 1, 0, 5/6, 0, 0, 0}, {0, 1/3, 1/2, 1/3, 0, 1/6, 0, 1/3, 
    0}, {1/3, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, {1/6, 0, 0, 0, 1/6, 0, 1/2, 0, 
    1/2}, {0, 1/6, 1/6, 1/6, 0, 1/3, 1/3, 0, 1/6}, 
   {0, 1/3, 0, 1/2, 0, 1/2, 0, 1/6, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {1, 0, 1, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 2/3, 1/3, 0, 0}, 
   {0, 1, 0, 1/3, 0, 1/3, 0, 1/3, 1/3}, {0, 2/3, 1/3, 0, 1/3, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 0, 1/3, 0, 0}, {1/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {1, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {2/3, 0, 1, 1, 0, 1/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 1, 2/3, 0, 1/3, 1/3}, {0, 0, 0, 0, 1/3, 0, 2/3, 1, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1/2, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 1}, {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1/2, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1/2, 1, 0, 1/2, 0}, {1, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/8, 0, 0, 1/8, 1/8, 1/8, 3/8, 7/8}, {3/8, 5/8, 0, 3/8, 0, 1, 1/8, 0, 
    0}, {1/8, 0, 1/2, 1/4, 1/4, 0, 0, 0, 1}, {1/4, 0, 7/8, 0, 0, 1/4, 0, 1/8, 
    0}, {0, 1/8, 1, 1/8, 0, 0, 1/8, 0, 1/8}, {0, 0, 0, 5/8, 1, 0, 1/4, 0, 0}, 
   {3/8, 1/2, 0, 0, 1/8, 3/8, 1/4, 1/8, 0}, {5/8, 3/4, 0, 0, 0, 1/2, 0, 0, 
    1/8}, {0, 0, 0, 0, 1/2, 0, 3/4, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1, 1/3, 0, 1, 1/3}, 
   {0, 0, 2/3, 1/3, 0, 0, 1, 0, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 2/3, 0, 0, 1/3, 1/3, 1, 2/3, 0}, 
   {0, 0, 2/3, 1, 0, 0, 0, 1, 1}, {2/3, 2/3, 0, 0, 1/3, 1/3, 1, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 1}, {0, 0, 0, 1/2, 0, 1, 1, 0, 1}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 1, 0}, {1/2, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 1, 1, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 0, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 1, 0, 0, 0, 0, 0, 1, 1/3}, 
   {1/3, 0, 1, 2/3, 0, 0, 1, 0, 0}, {1/3, 0, 1, 0, 0, 0, 0, 1, 1/3}, 
   {2/3, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 2/3, 0, 1, 0, 2/3}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1, 0}, {0, 0, 1/2, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1, 1/2, 0}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 0, 1/3, 1/3, 2/3, 0}, {0, 0, 1/3, 0, 0, 1, 0, 1, 0}, 
   {2/3, 0, 0, 1, 0, 0, 1, 0, 2/3}, {0, 0, 0, 0, 0, 0, 1/3, 0, 1}, 
   {1, 1/3, 0, 0, 0, 0, 0, 0, 0}, {1/3, 0, 0, 1/3, 1/3, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 1, 1, 2/3, 0, 2/3}, {0, 2/3, 2/3, 0, 0, 0, 2/3, 1/3, 0}, 
   {0, 0, 1/3, 2/3, 2/3, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 2/3, 0, 2/3}, {2/3, 2/3, 0, 0, 1/3, 1/3, 0, 1/3, 
    0}, {2/3, 0, 0, 0, 1/3, 1, 0, 1/3, 0}, {0, 0, 0, 1/3, 0, 0, 1, 0, 1}, 
   {0, 2/3, 2/3, 1/3, 0, 2/3, 0, 1/3, 0}, {2/3, 2/3, 0, 0, 1, 1, 1/3, 0, 1}, 
   {0, 0, 0, 1, 2/3, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, {1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 2/3, 0, 0, 0, 0, 1/3}, {1/3, 1/3, 0, 1, 0, 0, 0, 0, 0}, 
   {2/3, 0, 1, 0, 1/3, 1/3, 0, 0, 0}, {1/3, 2/3, 0, 0, 1/3, 0, 1/3, 1/3, 0}, 
   {1/3, 0, 1/3, 0, 0, 0, 0, 2/3, 2/3}, {0, 2/3, 0, 0, 1, 0, 1/3, 0, 1/3}, 
   {0, 0, 2/3, 1/3, 0, 1, 2/3, 0, 0}, {1, 0, 1, 1/3, 0, 0, 2/3, 0, 0}, 
   {0, 1, 0, 0, 2/3, 1, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1, 0, 0}, {1/2, 1, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 0, 0, 1, 0, 2/3, 0}, 
   {0, 1, 0, 1, 1/3, 0, 0, 0, 0}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 2/3}, 
   {2/3, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 1, 0, 2/3, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 2/3, 0, 0}, 
   {1/3, 0, 1, 1/3, 1/3, 0, 0, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 1, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1/2, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 1, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {1, 1, 0, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 2/3, 1, 0, 0, 1/3}, {0, 1, 1/3, 1, 1/3, 0, 0, 0, 0}, 
   {1/3, 1, 0, 0, 0, 0, 1/3, 0, 2/3}, {0, 2/3, 2/3, 0, 2/3, 2/3, 1/3, 0, 0}, 
   {2/3, 0, 1/3, 2/3, 0, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 1, 0, 2/3}, 
   {0, 0, 0, 0, 0, 1/3, 1/3, 1, 0}, {0, 1/3, 0, 0, 1/3, 1/3, 0, 1, 0}, 
   {1/3, 0, 2/3, 1/3, 1/3, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1}, {0, 1/2, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 1, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 0, 0, 1, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 5/7, 5/7, 1/7, 0}, 
   {1/7, 2/7, 0, 1/7, 0, 1/7, 4/7, 0, 4/7}, {3/7, 0, 5/7, 2/7, 2/7, 0, 0, 0, 
    1}, {0, 0, 2/7, 2/7, 2/7, 0, 0, 4/7, 0}, {0, 0, 4/7, 0, 0, 0, 2/7, 6/7, 
    0}, {6/7, 2/7, 0, 0, 0, 2/7, 0, 0, 4/7}, {0, 3/7, 1, 0, 0, 4/7, 0, 0, 1}, 
   {4/7, 1, 0, 3/7, 3/7, 0, 0, 4/7, 0}, {1, 0, 3/7, 0, 1/7, 0, 1, 3/7, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/11, 0, 0, 7/11, 3/11, 1/11, 1, 0}, 
   {0, 0, 0, 1, 6/11, 0, 4/11, 0, 1/11}, {0, 0, 4/11, 1/11, 0, 0, 0, 10/11, 
    3/11}, {0, 0, 4/11, 4/11, 0, 6/11, 0, 0, 0}, {0, 2/11, 0, 0, 0, 0, 4/11, 
    0, 10/11}, {0, 0, 8/11, 0, 0, 2/11, 4/11, 0, 0}, 
   {0, 0, 0, 0, 5/11, 1, 6/11, 0, 1}, {8/11, 8/11, 0, 3/11, 0, 0, 3/11, 1, 
    0}, {2/11, 0, 0, 1/11, 6/11, 0, 5/11, 1, 8/11}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 1, 1, 1/3, 0, 0, 2/3, 0}, {2/3, 1/3, 1/3, 1/3, 1/3, 0, 0, 0, 
    2/3}, {1, 0, 0, 0, 0, 1, 2/3, 0, 0}, {0, 1/3, 1, 0, 0, 1/3, 0, 0, 2/3}, 
   {1, 0, 0, 1, 1, 0, 0, 2/3, 0}, {1, 0, 2/3, 1, 1/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1/4, 0}, 
   {1/4, 0, 1, 0, 0, 0, 0, 0, 1/4}, {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1/4, 0, 3/4, 1, 1, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 1/4, 1/2, 1/4, 0}, 
   {1/2, 1/4, 0, 0, 0, 1, 0, 3/4, 3/4}, {1/4, 3/4, 0, 1, 0, 0, 0, 1/4, 1/2}, 
   {1, 0, 1/2, 0, 0, 1, 3/4, 0, 0}, {0, 1/4, 0, 1/2, 0, 1/4, 1/2, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 1/2, 1/2, 1/2, 1/2}, {1/2, 0, 0, 0, 1, 1, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 1, 1, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 1/2, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1, 1/2, 0, 1}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 1, 1/2, 0, 0, 1, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 1}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 1, 1, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1, 0, 0, 1}, {2/3, 0, 0, 1, 0, 1, 1/3, 0}, 
   {0, 2/3, 1/3, 2/3, 0, 0, 0, 0}, {0, 0, 1/3, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 1, 0, 0, 0, 2/3, 0}, {0, 0, 1/3, 1, 0, 0, 2/3, 1}, 
   {0, 2/3, 1/3, 1/3, 0, 0, 0, 1/3}, {0, 0, 0, 0, 1, 1, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/5, 1, 0, 0, 2/5, 4/5, 0, 0, 1/5}, 
   {0, 4/5, 1/5, 0, 0, 4/5, 1/5, 1/5, 0}, {0, 0, 1, 4/5, 0, 0, 1/5, 1, 0}, 
   {2/5, 0, 0, 4/5, 2/5, 0, 0, 0, 2/5}, {4/5, 0, 4/5, 0, 0, 0, 0, 0, 0}, 
   {4/5, 0, 0, 0, 4/5, 0, 0, 4/5, 0}, {0, 0, 1/5, 0, 0, 0, 4/5, 0, 1}, 
   {0, 0, 1, 0, 4/5, 4/5, 0, 0, 1/5}, {1/5, 1, 0, 4/5, 0, 0, 1/5, 1/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {1, 1/3, 0, 1/3, 1, 0, 0, 0, 2/3}, {2/3, 0, 1/3, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {0, 0, 1, 1/3, 1/3, 0, 0, 0, 2/3}, {1, 1/3, 0, 2/3, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0, 2/3}, {0, 2/3, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1, 1/2, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1/2, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1/2, 1/2}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/4, 0, 1/4, 3/4, 0}, {1/4, 0, 3/4, 0, 3/4, 1/2, 0, 0, 0}, 
   {1/2, 3/4, 0, 1/4, 0, 0, 0, 1, 0}, {0, 0, 1/4, 1/4, 3/4, 1/2, 0, 0, 1/4}, 
   {0, 1/2, 0, 1/4, 0, 0, 1, 0, 3/4}, {1/4, 0, 3/4, 0, 1/4, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/4, 0, 0, 1/4}, {1/2, 1, 0, 0, 0, 1/4, 1/4, 0, 1/4}, 
   {1/4, 0, 1/4, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 0, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1/2, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1/2, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 5/9, 7/9, 1/3, 4/9, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 5/9, 8/9, 0, 0}, {0, 1/3, 1/3, 1/3, 0, 0, 4/9, 0, 
    2/9}, {2/3, 0, 0, 0, 2/9, 2/9, 0, 2/9, 4/9}, {0, 0, 2/9, 2/3, 4/9, 2/9, 
    0, 0, 0}, {0, 2/9, 4/9, 0, 2/9, 0, 2/3, 0, 0}, 
   {0, 1/9, 1/9, 0, 1/9, 7/9, 0, 2/3, 2/3}, {5/9, 0, 0, 5/9, 0, 2/9, 0, 2/9, 
    2/9}, {1, 2/9, 0, 5/9, 0, 0, 0, 2/9, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, {1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 1, 0, 3/4}, {0, 0, 1/2, 1, 3/4, 0, 0, 1/4, 1/2}, 
   {1/2, 0, 1, 1/4, 1/4, 0, 1/4, 3/4, 0}, {0, 0, 0, 0, 1/4, 1/2, 0, 1/4, 
    1/4}, {0, 3/4, 0, 1/4, 1/2, 0, 1/2, 0, 0}, {1/4, 0, 1/2, 0, 0, 3/4, 0, 0, 
    1/2}, {3/4, 0, 1/2, 1/4, 0, 0, 1/2, 0, 1/4}, {0, 1/2, 0, 0, 0, 1/2, 0, 
    3/4, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 3/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 0, 2/3, 1, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 1/3, 1, 0}, 
   {0, 1/3, 0, 0, 1/3, 2/3, 1/3, 1/3, 0}, {0, 0, 0, 2/3, 1/3, 0, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 0, 1/3, 0, 2/3, 0}, {1/3, 0, 1/3, 1/3, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 1/3, 0, 0, 0, 0, 1/3}, {0, 1/3, 2/3, 1/3, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 0, 0, 2/3, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 0, 1}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1}, 
   {0, 0, 1/2, 1, 0, 1, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1, 1/2}, 
   {1, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 1, 0, 1/2, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1, 1/2, 0, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 1, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/3, 0, 2/3, 0, 0, 0}, 
   {0, 1/3, 2/3, 0, 0, 0, 1/3, 1/3, 0}, {0, 1/3, 0, 2/3, 1, 0, 1/3, 0, 0}, 
   {0, 0, 1/3, 0, 0, 0, 1/3, 0, 2/3}, {0, 0, 0, 1/3, 0, 1, 1/3, 0, 0}, 
   {1/3, 1/3, 0, 0, 0, 1, 0, 1/3, 0}, {1/3, 1/3, 0, 0, 1/3, 1/3, 0, 1/3, 
    1/3}, {1, 1, 0, 0, 0, 2/3, 0, 0, 1/3}, {1/3, 0, 0, 1/3, 1, 0, 0, 2/3, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 1, 0, 0, 1/3, 2/3, 0, 0}, {0, 1/3, 0, 2/3, 1/3, 2/3, 0, 0}, 
   {1, 0, 1/3, 1, 0, 0, 2/3, 0}, {1/3, 0, 0, 0, 1, 2/3, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 2/3, 0, 2/3}, {0, 1, 1/3, 1/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, {1, 1, 0, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 1, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 1, 0, 0, 0, 1/3, 0, 1}, {1/3, 0, 1/3, 1, 2/3, 0, 0, 2/3, 2/3}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1/3, 0, 1, 0, 0, 0, 1, 0}, 
   {1/3, 0, 1, 0, 1/3, 1/3, 0, 1/3, 1/3}, {1, 1/3, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 4/7, 6/7, 3/7, 0, 6/7, 0, 0, 0}, 
   {0, 5/7, 0, 0, 0, 0, 6/7, 0, 6/7}, {4/7, 3/7, 0, 0, 1/7, 2/7, 6/7, 0, 0}, 
   {4/7, 0, 0, 0, 1/7, 0, 0, 6/7, 4/7}, {0, 1/7, 1, 4/7, 0, 1/7, 0, 0, 0}, 
   {0, 0, 5/7, 0, 1/7, 0, 4/7, 1/7, 4/7}, {5/7, 0, 0, 3/7, 2/7, 1/7, 0, 0, 
    0}, {0, 0, 3/7, 0, 1, 0, 0, 6/7, 0}, {1, 2/7, 0, 1/7, 0, 1/7, 0, 0, 
    2/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 1, 1/2}, 
   {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 1, 1/2, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{3/5, 0, 1/5, 2/5, 4/5, 0, 0, 1/5, 2/5}, {0, 1, 0, 4/5, 0, 2/5, 1, 0, 
    1/5}, {3/5, 0, 1, 0, 0, 0, 2/5, 1, 0}, {0, 0, 2/5, 0, 0, 2/5, 0, 0, 2/5}, 
   {0, 0, 2/5, 0, 2/5, 0, 2/5, 2/5, 0}, {0, 0, 0, 0, 2/5, 2/5, 2/5, 0, 0}, 
   {2/5, 1, 0, 0, 2/5, 0, 0, 1/5, 0}, {1, 0, 3/5, 2/5, 0, 2/5, 3/5, 0, 3/5}, 
   {0, 3/5, 0, 0, 0, 0, 0, 1, 2/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 1/3, 0, 1/3, 1, 0}, {0, 0, 2/3, 0, 1/3, 0, 1, 1, 0}, 
   {0, 2/3, 0, 1, 0, 1/3, 0, 0, 1}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 1, 2/3, 0, 0, 1}, {2/3, 0, 0, 1/3, 0, 1/3, 1/3, 1, 0}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 2/3, 0, 0, 1/3, 1/3, 0, 1}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {2/3, 2/3, 0, 0, 0, 1, 0, 1/3, 0}, 
   {2/3, 0, 0, 1, 1/3, 0, 1/3, 0, 1}, {0, 0, 0, 0, 0, 1, 2/3, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 1, 0, 0, 0, 0, 2/3}, 
   {1/3, 0, 0, 0, 1, 1, 0, 2/3, 0}, {0, 1/3, 1, 0, 1/3, 1, 0, 0, 2/3}, 
   {1/3, 0, 0, 1, 0, 0, 0, 2/3, 0}, {1, 2/3, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 3/4, 0, 1/4, 0, 1/2, 0, 1}, {1/4, 1/2, 0, 0, 1/2, 1/2, 0, 1/4, 0}, 
   {0, 0, 3/4, 0, 1/4, 0, 1/2, 1/2, 0}, {1/4, 1/2, 0, 3/4, 0, 0, 0, 0, 0}, 
   {0, 0, 3/4, 0, 1/4, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 3/4, 0, 1/4, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/4, 1/4, 1/4, 0, 1/4}, {1/4, 0, 1/2, 1/2, 0, 0, 0, 1/2, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1, 1/2, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1/3, 0, 0, 1/3, 0, 1/3, 0, 0}, 
   {2/3, 0, 0, 1/3, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {1, 0, 1/3, 1, 1, 0, 1/3, 0, 0}, {0, 0, 1/3, 0, 0, 1/3, 0, 1, 1/3}, 
   {0, 1/3, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 1, 2/3, 2/3, 1/3, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 1, 0, 0, 1, 2/3}, {1/3, 0, 1/3, 0, 0, 1, 1, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 1, 0, 0, 1, 1/2, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1/2}, {1, 0, 0, 0, 1/2, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 1/2, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, {1/2, 1, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1, 1/2, 0, 1/2, 0}, {1, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{10/13, 0, 10/13, 0, 0, 2/13, 0, 10/13, 10/13}, 
   {0, 12/13, 0, 0, 0, 0, 10/13, 6/13, 0}, {10/13, 0, 0, 10/13, 0, 12/13, 0, 
    0, 0}, {0, 1, 0, 0, 6/13, 0, 0, 7/13, 1}, {0, 9/13, 6/13, 4/13, 0, 0, 0, 
    7/13, 7/13}, {7/13, 0, 1, 2/13, 12/13, 0, 11/13, 0, 0}, 
   {0, 1/13, 4/13, 0, 0, 0, 3/13, 0, 6/13}, {6/13, 1/13, 0, 0, 0, 0, 7/13, 0, 
    0}, {3/13, 0, 3/13, 0, 4/13, 2/13, 0, 1/13, 1/13}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 1, 0, 0, 1/2, 1/2, 1/2, 0, 
    1/2}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1, 1, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1, 1, 1/2, 0, 0, 1/2, 0, 1/2}, {1, 0, 1, 0, 1/2, 1/2, 0, 1, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 1, 0, 0, 0, 1, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/5, 2/5, 4/5, 0, 1/5, 0, 0}, {1/5, 2/5, 0, 0, 0, 2/5, 0, 4/5, 
    3/5}, {2/5, 2/5, 1/5, 0, 0, 2/5, 0, 1/5, 1/5}, 
   {3/5, 4/5, 0, 1/5, 0, 0, 0, 1/5, 2/5}, {1/5, 0, 2/5, 2/5, 0, 1, 0, 0, 0}, 
   {1/5, 0, 3/5, 1/5, 3/5, 0, 0, 0, 0}, {0, 0, 2/5, 1/5, 2/5, 0, 1/5, 1/5, 
    0}, {0, 1/5, 0, 0, 0, 3/5, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1}, {1, 1, 0, 1/2, 1, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1/3, 1/3, 0, 1/3, 0, 1}, {0, 0, 2/3, 0, 0, 1, 0, 1/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 2/3, 0, 2/3, 0, 1, 1/3, 0, 1/3}, 
   {0, 0, 2/3, 1, 1, 0, 0, 1, 0}, {1, 1, 1/3, 0, 0, 1/3, 0, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 0, 0, 0, 1/3, 1, 0, 0}, 
   {1/3, 1, 0, 0, 0, 0, 1, 0, 1/3}, {1/3, 0, 1/3, 2/3, 0, 2/3, 0, 1, 0}, 
   {0, 2/3, 1/3, 0, 1/3, 0, 0, 2/3, 1/3}, {1/3, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 0, 1, 2/3}, {1/3, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1/3, 1, 0, 1/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 1/3, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 1, 1, 1/2, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1, 1, 0, 1/2, 0, 0, 1, 1/2}, {1, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 1, 1/3, 0, 2/3, 0, 0, 2/3, 1/3}, {1, 0, 2/3, 0, 0, 2/3, 1/3, 1/3, 0}, 
   {0, 1/3, 1/3, 0, 2/3, 2/3, 0, 0, 1/3}, {0, 1, 1/3, 2/3, 0, 2/3, 1/3, 1/3, 
    0}, {1, 0, 2/3, 0, 2/3, 0, 0, 0, 1/3}, {1/3, 2/3, 0, 0, 0, 0, 2/3, 0, 
    1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1/2, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1/2, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 1/3, 1, 1/3, 0, 0, 0, 2/3}, {1, 0, 0, 0, 1, 0, 2/3, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {2/3, 1/3, 2/3, 0, 1/3, 0, 0, 2/3}, 
   {1, 0, 1, 1, 0, 2/3, 2/3, 0}, {0, 1, 0, 0, 1, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 1/2, 0, 1/2, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {1/3, 1/3, 1/3, 0, 1/3, 2/3, 0, 0, 1/3}, {0, 0, 2/3, 1/3, 0, 1/3, 2/3, 0, 
    1}, {2/3, 2/3, 0, 0, 1/3, 0, 1, 1, 0}, {0, 0, 2/3, 1/3, 0, 1/3, 1/3, 1, 
    0}, {0, 2/3, 0, 2/3, 1/3, 0, 0, 0, 1}, {0, 2/3, 2/3, 0, 1/3, 0, 2/3, 0, 
    1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, {0, 1, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1, 1, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 3/7, 0, 0, 4/7, 4/7, 0, 1/7, 3/7}, {0, 2/7, 1, 6/7, 0, 0, 1/7, 0, 0}, 
   {1, 3/7, 0, 0, 4/7, 0, 0, 5/7, 1}, {2/7, 0, 0, 0, 0, 0, 4/7, 2/7, 0}, 
   {0, 0, 2/7, 4/7, 0, 2/7, 0, 0, 0}, {0, 4/7, 0, 0, 0, 4/7, 0, 2/7, 0}, 
   {0, 0, 1, 0, 6/7, 4/7, 0, 1/7, 1/7}, {1, 5/7, 0, 4/7, 0, 0, 3/7, 0, 0}, 
   {2/7, 0, 1/7, 4/7, 2/7, 0, 2/7, 3/7, 5/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 1, 2/5, 3/5, 0, 0, 0, 2/5}, {0, 0, 0, 3/5, 0, 3/5, 3/5, 2/5, 0}, 
   {2/5, 4/5, 1, 0, 0, 0, 1/5, 0, 0}, {2/5, 3/5, 0, 0, 0, 0, 0, 0, 3/5}, 
   {0, 0, 1/5, 2/5, 1, 0, 2/5, 2/5, 0}, {1/5, 0, 0, 0, 4/5, 2/5, 1/5, 0, 
    1/5}, {1/5, 0, 3/5, 1/5, 0, 2/5, 0, 0, 0}, {0, 0, 2/5, 1/5, 0, 3/5, 0, 
    1/5, 0}, {3/5, 1/5, 0, 0, 3/5, 0, 0, 0, 1/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 1/3, 0, 2/3, 2/3, 1, 1/3, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 2/3, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 2/3, 1/3, 0, 0, 2/3, 2/3, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 0, 1/3, 1/3, 0}, {0, 0, 0, 1, 1/3, 0, 0, 1/3, 1}, 
   {1/3, 1, 0, 1, 1/3, 0, 0, 0, 0}, {0, 2/3, 0, 0, 1/3, 1/3, 1, 1, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 1/3}, {0, 0, 1, 1/3, 0, 0, 2/3, 1/3, 0}, 
   {1/3, 0, 2/3, 0, 0, 1/3, 1/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 2/3, 1/3, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/3, 0, 0}, {1/3, 1/3, 0, 0, 0, 2/3, 0, 1/3, 1/3}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3, 2/3}, {0, 2/3, 2/3, 2/3, 0, 0, 0, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 1/3, 0, 0, 0, 2/3, 1/3, 1}, 
   {0, 0, 1, 0, 2/3, 2/3, 0, 1/3, 1/3}, {1, 1/3, 0, 2/3, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 1, 1/2, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 1, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1/2}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 2/3, 2/3, 2/3, 0, 0, 0, 2/3}, 
   {0, 1/3, 0, 0, 1, 0, 2/3, 2/3}, {1, 0, 1/3, 1, 0, 0, 2/3, 0}, 
   {1/3, 0, 1, 1, 0, 2/3, 0, 0}, {1/3, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 2/3, 0, 1/3, 0, 0, 0}, {0, 1/3, 1/3, 1/3, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 1, 0, 1/2, 1, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1/2, 1, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 1/2, 1/2, 1, 0}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1/2}, 
   {1, 1, 0, 1/2, 0, 0, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1/3, 1/3}, {0, 1/3, 0, 1/3, 1/3, 0, 1, 0, 0}, 
   {1/3, 0, 0, 0, 2/3, 0, 1, 1/3, 0}, {2/3, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 2/3}, 
   {0, 1/3, 2/3, 2/3, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 2/3, 1}, 
   {1, 2/3, 0, 2/3, 2/3, 0, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/3, 0, 0, 2/3, 1, 1/3, 0, 0}, 
   {1/3, 0, 0, 0, 2/3, 0, 0, 1, 2/3}, {1, 0, 2/3, 0, 0, 0, 0, 1/3, 0}, 
   {0, 1/3, 1/3, 2/3, 0, 2/3, 0, 1/3, 0}, {1/3, 0, 1, 0, 1/3, 1/3, 0, 1/3, 
    2/3}, {0, 1, 0, 1, 1/3, 0, 1, 0, 0}, {0, 2/3, 0, 1/3, 0, 0, 0, 0, 1/3}, 
   {0, 0, 1/3, 1/3, 2/3, 0, 2/3, 0, 0}, {1/3, 1, 0, 0, 0, 1/3, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 1, 0, 0, 1/2}, {0, 1, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 1/3, 0, 0, 0, 0, 1}, {1/3, 0, 2/3, 0, 1/3, 1/3, 0, 0, 1/3}, 
   {1, 0, 0, 0, 2/3, 0, 1/3, 2/3, 0}, {1/3, 0, 0, 0, 2/3, 2/3, 0, 0, 1}, 
   {0, 1/3, 1, 1/3, 0, 0, 1, 1, 0}, {1, 0, 1/3, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 1/3, 0}, {0, 2/3, 1/3, 1/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 2/3, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1/2, 0, 0, 1, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 1, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 1, 1/2, 0, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1, 1}, {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 0, 1, 1/2}, {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1/2, 1, 0, 1/2}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 1/2, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 0, 0, 1/2, 1}, 
   {1/2, 1, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1/3, 1, 0, 1/3, 1, 0}, {0, 0, 2/3, 0, 1, 1, 1/3, 0}, 
   {0, 2/3, 0, 0, 1/3, 1/3, 1/3, 2/3}, {0, 0, 1, 1/3, 0, 2/3, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 1, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1, 1, 0, 0, 1/2, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1, 0, 0}, {0, 1/2, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1/3, 2/3, 0, 0, 2/3, 0}, {0, 1, 2/3, 1/3, 0, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 1, 1/3, 0, 0, 0}, {0, 1/3, 0, 0, 1/3, 1, 0, 0, 2/3}, 
   {0, 0, 1/3, 0, 0, 1, 0, 0, 1}, {1, 0, 1/3, 1, 0, 0, 2/3, 0, 0}, 
   {1, 0, 0, 1, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 2/3, 1, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 0, 2/3, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 2/3, 0, 0, 1, 0, 0}, {1/3, 0, 0, 0, 0, 2/3, 0, 1/3, 1}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3, 2/3}, {0, 0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 1/3, 1, 0, 2/3, 0, 0, 1/3, 1/3}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 1/3, 0, 0}, {1/3, 0, 0, 0, 0, 0, 1, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1/3}, {1, 1/3, 0, 0, 0, 2/3, 1, 0, 0}, 
   {0, 0, 1/3, 0, 2/3, 0, 0, 1, 1/3}, {2/3, 0, 1/3, 2/3, 2/3, 0, 1/3, 0, 0}, 
   {1/3, 1, 0, 2/3, 0, 0, 0, 1, 1}, {0, 2/3, 1, 0, 0, 0, 1/3, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1}, {0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1/2, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1, 0, 1/2, 1/2, 0}, {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 2, 2}, {2, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 0, 1/3, 1, 1, 1/3, 0}, {2/3, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/3, 1, 0, 0, 1}, {0, 2/3, 0, 1/3, 1/3, 0, 0, 1}, 
   {2/3, 0, 1, 0, 0, 1, 1/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 1}, {1, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1/2, 0, 1/2, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1/2, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1/2, 1, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1/2, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1/3}, {0, 1/3, 0, 1/3, 0, 0, 1, 0, 0}, 
   {0, 0, 2/3, 0, 0, 1/3, 0, 0, 1/3}, {2/3, 2/3, 0, 2/3, 0, 0, 0, 1, 0}, 
   {0, 1/3, 0, 0, 0, 1/3, 0, 2/3, 2/3}, {0, 0, 1/3, 0, 1, 2/3, 0, 0, 2/3}, 
   {1/3, 0, 1, 1, 0, 0, 2/3, 0, 0}, {1/3, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 1/2, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 4/9, 2/9, 0, 4/9, 0, 2/9, 0, 4/9}, 
   {0, 0, 0, 4/9, 8/9, 0, 4/9, 0, 0}, {0, 0, 8/9, 2/9, 0, 2/9, 0, 2/9, 8/9}, 
   {0, 0, 5/9, 0, 1/9, 0, 0, 2/9, 0}, {1/9, 1/9, 0, 5/9, 0, 5/9, 0, 2/9, 0}, 
   {0, 0, 7/9, 0, 1/3, 0, 0, 0, 0}, {1, 5/9, 0, 0, 1/9, 4/9, 2/9, 0, 0}, 
   {7/9, 7/9, 0, 0, 1/9, 0, 0, 2/9, 4/9}, {0, 0, 1/9, 5/9, 0, 1, 8/9, 4/9, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 1/2, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 1/2, 1, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 0, 0, 4/5, 2/5, 0, 0, 0}, {0, 2/5, 2/5, 0, 2/5, 0, 0, 0, 0}, 
   {2/5, 0, 2/5, 0, 0, 0, 0, 2/5, 4/5}, {2/5, 0, 2/5, 3/5, 0, 3/5, 1/5, 0, 
    0}, {0, 2/5, 0, 0, 3/5, 0, 0, 1/5, 3/5}, {2/5, 0, 0, 3/5, 0, 3/5, 3/5, 0, 
    0}, {0, 4/5, 0, 1, 0, 1, 0, 1/5, 1/5}, {2/5, 0, 0, 2/5, 1/5, 0, 3/5, 2/5, 
    0}, {4/5, 0, 4/5, 0, 3/5, 0, 3/5, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 1/3, 1/3, 0, 0, 1/3, 0}, {1/3, 0, 1/3, 0, 2/3, 0, 2/3, 0, 
    0}, {1/3, 0, 0, 1, 0, 2/3, 0, 0, 1}, {2/3, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 2/3, 0, 0, 0, 0, 1/3}, {0, 5/6, 0, 1/6, 0, 1/3, 1, 1/2, 0}, 
   {2/3, 0, 0, 1/2, 0, 1/3, 0, 1/2, 0}, {0, 1/3, 0, 0, 2/3, 1, 0, 0, 1/2}, 
   {2/3, 0, 1/2, 0, 0, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 0, 1, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 1, 1/2, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/3, 1/3, 1, 0, 0, 0, 2/15}, 
   {7/15, 0, 2/15, 0, 0, 1, 8/15, 4/15, 0}, {7/15, 0, 0, 0, 4/15, 1, 2/3, 0, 
    0}, {2/3, 0, 0, 0, 0, 2/3, 0, 2/5, 8/15}, {0, 2/15, 2/5, 2/3, 0, 4/15, 0, 
    0, 2/5}, {0, 0, 2/3, 2/5, 2/5, 0, 4/15, 0, 0}, 
   {0, 7/15, 1/3, 0, 0, 11/15, 0, 4/15, 2/15}, {1, 4/15, 0, 3/5, 1/3, 0, 0, 
    0, 0}, {1, 0, 0, 3/5, 3/5, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 1/3, 1/3, 0, 1/3, 0, 1/3, 2/3, 0}, {2/3, 2/3, 0, 1, 0, 1, 1/3, 0, 
    2/3}, {0, 0, 1, 2/3, 1, 0, 0, 0, 0}, {0, 0, 0, 1/3, 0, 2/3, 0, 1/3, 1/3}, 
   {1, 1/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 1/3, 1/3, 1/3, 0, 1, 0, 1/3, 0}, 
   {0, 0, 1, 0, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 1, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 1, 0, 1}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1/2, 0}, {0, 1, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 0, 1, 1/2, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0, 1}, {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1, 0, 0, 1/2}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 1, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 2/3, 0, 0, 2/3, 2/3}, 
   {2/3, 1/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 1/3, 1, 1/3, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 1, 1, 0, 2/3, 0, 0, 0}, {1/3, 0, 0, 0, 1, 1/3, 2/3, 2/3, 0}, 
   {1/3, 1/3, 0, 1/3, 0, 2/3, 0, 0, 0}, {1/3, 1/3, 0, 1/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 1/3, 0, 1/3, 1/3, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 0, 0, 1/3, 1, 0}, {1/3, 0, 1/3, 0, 0, 1/3, 0, 1/3, 0}, 
   {1, 2/3, 0, 1/3, 0, 0, 1/3, 0, 1/3}, {0, 1/3, 1/3, 1/3, 1/3, 0, 1/3, 0, 
    0}, {1/3, 1, 0, 0, 0, 1/3, 0, 0, 2/3}, {1/3, 0, 2/3, 1/3, 0, 0, 2/3, 2/3, 
    0}, {0, 0, 1, 0, 0, 0, 1/3, 0, 1}, {1/3, 0, 2/3, 0, 1/3, 0, 0, 0, 1}, 
   {2/3, 1, 0, 0, 0, 1/3, 2/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 1, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 1, 1, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 0}, {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 1/3, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 1/3, 2/3, 0}, {0, 1, 0, 2/3, 0, 0, 0, 1}, 
   {1, 0, 0, 2/3, 0, 1/3, 1, 0}, {0, 1, 0, 0, 0, 2/3, 0, 1}, 
   {0, 1/3, 2/3, 0, 0, 0, 1/3, 0}, {1/3, 0, 0, 0, 0, 1/3, 0, 1}, 
   {0, 1, 0, 0, 0, 2/3, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 1/3, 0, 0, 2/3, 0, 0, 1/3, 1}, {0, 0, 1, 2/3, 0, 0, 1/3, 0, 0}, 
   {0, 2/3, 2/3, 0, 2/3, 2/3, 0, 0, 0}, {2/3, 2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, {0, 0, 1/3, 0, 0, 0, 0, 1/3, 1}, 
   {1/3, 1/3, 0, 0, 0, 2/3, 1/3, 0, 0}, {0, 0, 1/3, 0, 0, 2/3, 0, 1/3, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1/2, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 0, 0, 1, 0, 1/3}, {1/3, 1, 0, 0, 0, 2/3, 0, 1/3, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1/3, 2/3, 0, 0, 0, 1, 0}, 
   {1/3, 1, 0, 0, 0, 2/3, 1, 0, 1}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, {2/3, 2/3, 0, 0, 2/3, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 1/2, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 2/3, 0, 0, 0, 1/3, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 1, 0, 2/3, 1, 0, 0, 0}, {0, 0, 1/3, 0, 0, 1/3, 1/3, 0, 2/3}, 
   {0, 1, 0, 1, 0, 0, 2/3, 0, 0}, {1/3, 0, 2/3, 0, 1/3, 1/3, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/3, 2/3, 0}, {0, 0, 1, 0, 0, 0, 2/3, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{3/7, 0, 3/7, 0, 0, 2/7, 0, 0, 5/7}, 
   {3/7, 0, 1/7, 0, 2/7, 0, 2/7, 0, 3/7}, {0, 5/7, 0, 4/7, 0, 0, 3/7, 3/7, 
    0}, {0, 3/7, 0, 0, 4/7, 4/7, 0, 0, 3/7}, {4/7, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {5/7, 0, 1, 0, 2/7, 0, 5/7, 1, 0}, {0, 0, 4/7, 4/7, 0, 4/7, 0, 0, 0}, 
   {2/7, 4/7, 0, 0, 0, 0, 4/7, 6/7, 0}, {0, 0, 6/7, 4/7, 0, 0, 0, 0, 4/7}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1/2, 0, 0, 0, 1, 1, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 3/4, 1/2, 0, 0, 1/2, 0}, {1/2, 3/4, 0, 0, 0, 1, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 3/4, 0, 0}, {0, 0, 1, 0, 1/4, 1, 0, 3/4, 3/4}, 
   {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, {1/2, 1/4, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1/4, 0, 1/2, 1/4, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1/3, 0, 1}, 
   {0, 2/3, 0, 1, 1/3, 0, 0, 1/3, 0}, {0, 0, 0, 2/3, 2/3, 1/3, 0, 1/3, 0}, 
   {0, 0, 2/3, 1, 1/3, 0, 1/3, 0, 1/3}, {0, 2/3, 0, 0, 0, 1/3, 0, 1, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 1, 1/3, 0, 0, 2/3, 0, 0}, {0, 0, 1/3, 1, 0, 2/3, 0, 0, 2/3}, 
   {1/3, 1, 0, 0, 1, 1/3, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 2/3}, 
   {0, 0, 1, 0, 1, 1/3, 0, 2/3, 2/3}, {1, 1, 0, 1, 0, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 1/2, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1, 1/2, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 1/2, 1, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {1, 0, 1, 0, 1, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 1, 1, 0, 1, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 0, 3/5, 0, 0, 3/5, 2/5, 0}, {0, 4/5, 0, 3/5, 0, 2/5, 1/5, 0, 0}, 
   {3/5, 0, 4/5, 0, 0, 0, 0, 4/5, 2/5}, {0, 1/5, 0, 2/5, 2/5, 1, 2/5, 2/5, 
    0}, {2/5, 0, 3/5, 3/5, 0, 3/5, 1, 1/5, 0}, {0, 1, 0, 0, 4/5, 0, 0, 0, 1}, 
   {2/5, 0, 2/5, 0, 0, 1/5, 0, 0, 3/5}, {1/5, 0, 0, 1/5, 0, 2/5, 0, 1/5, 
    3/5}, {0, 0, 0, 0, 3/5, 0, 2/5, 3/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 4/5, 4/5, 0, 2/5, 1/5, 0}, {2/5, 1/5, 0, 0, 0, 2/5, 0, 1, 2/5}, 
   {1, 0, 1, 0, 0, 2/5, 1/5, 0, 3/5}, {1, 0, 1/5, 2/5, 2/5, 0, 2/5, 3/5, 0}, 
   {1, 0, 1/5, 2/5, 4/5, 0, 0, 3/5, 0}, {0, 1, 0, 0, 0, 4/5, 3/5, 0, 1/5}, 
   {0, 0, 4/5, 0, 0, 0, 2/5, 0, 0}, {0, 0, 0, 0, 0, 0, 2/5, 0, 4/5}, 
   {0, 0, 2/5, 2/5, 0, 2/5, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/4, 1, 0, 1/2, 0, 3/4, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 1/4, 1/2, 3/4, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1, 1}, {3/4, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 0, 1/4, 1/4, 3/4, 0, 1, 0, 
    3/4}, {0, 0, 0, 0, 0, 0, 0, 0, 3/4}, {0, 3/4, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 3/4, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {0, 1, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1, 0, 0, 0, 1, 0, 1/2, 1/2}, 
   {1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1, 1, 0, 0, 1, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {1, 1/2, 0, 1/2, 1/2, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 0, 2/3, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1/3, 1, 0, 0}, {0, 1, 1/3, 0, 0, 0, 1, 0, 1/3}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1/3, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 1/2, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 1, 0}, {1/2, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 1/3, 0, 1, 0, 1/3}, 
   {0, 2/3, 0, 1, 0, 1, 0, 1/3, 0}, {2/3, 0, 2/3, 0, 1/3, 0, 1/3, 0, 1/3}, 
   {0, 2/3, 2/3, 0, 1, 0, 0, 1/3, 0}, {2/3, 0, 0, 1/3, 0, 1, 1/3, 0, 1/3}, 
   {0, 2/3, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, {1, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 1, 0, 0, 0, 1/2}, {1, 0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 1/2, 0, 1/2}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 1, 0, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 6/7, 1/7, 1/7, 0, 0, 0, 5/7}, 
   {0, 0, 2/7, 0, 5/7, 1/7, 3/7, 0}, {2/7, 0, 0, 0, 5/7, 0, 4/7, 1}, 
   {0, 0, 3/7, 1, 0, 1, 1, 0}, {6/7, 0, 0, 4/7, 1/7, 0, 0, 3/7}, 
   {0, 0, 2/7, 0, 2/7, 6/7, 0, 0}, {0, 2/7, 0, 0, 0, 4/7, 0, 2/7}, 
   {0, 0, 4/7, 6/7, 0, 0, 0, 2/7}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 1/3, 0, 1, 0}, {0, 0, 1, 1/3, 0, 1/3, 0, 1}, 
   {0, 0, 0, 2/3, 1, 1/3, 0, 1}, {0, 0, 1/3, 1, 0, 0, 1, 2/3}, 
   {2/3, 0, 1/3, 1/3, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1/2, 1}, {0, 1/2, 0, 0, 1, 0, 1, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1/2, 1, 0, 0, 0}, {1, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1, 0, 1/2}, 
   {1, 1, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 1, 0, 1, 1/2, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 3/5, 0, 2/5, 0, 1}, {0, 1, 2/5, 2/5, 0, 3/5, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 2/5, 1, 0}, {0, 1/5, 0, 0, 4/5, 0, 0, 1/5, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 2/5, 0}, {1/5, 1/5, 0, 1/5, 3/5, 0, 0, 0, 1}, 
   {1/5, 0, 0, 3/5, 0, 4/5, 0, 0, 0}, {4/5, 4/5, 0, 0, 0, 0, 3/5, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 3/5, 4/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1, 0, 1/2, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/3, 2/3, 0, 0, 0, 0, 0, 1/3, 2/3}, {0, 1/3, 1/3, 2/3, 0, 1, 0, 0, 0}, 
   {1/3, 1/3, 0, 1/3, 0, 1/3, 0, 0, 1/3}, {0, 0, 1/3, 0, 2/3, 0, 1/3, 0, 0}, 
   {0, 0, 1/3, 0, 0, 1/3, 0, 1/3, 2/3}, {0, 0, 0, 1/3, 2/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 0, 2/3, 1/3, 0}, {0, 0, 1/3, 1/3, 1, 0, 0, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 1/3, 2/3, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1/2, 0}, {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 2}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/3, 1, 1/3, 0, 0}, 
   {0, 0, 1/3, 0, 0, 2/3, 1/3, 1/3, 0}, {0, 0, 1/3, 1/3, 1/3, 0, 0, 0, 2/3}, 
   {0, 1/3, 0, 2/3, 1, 0, 0, 0, 0}, {2/3, 0, 0, 1/3, 0, 0, 0, 1/3, 1/3}, 
   {2/3, 0, 1/3, 0, 0, 1/3, 0, 0, 2/3}, {1/3, 0, 0, 1/3, 2/3, 0, 1, 2/3, 0}, 
   {0, 2/3, 1/3, 0, 0, 1, 0, 1/3, 1/3}, {0, 2/3, 1/3, 1/3, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/3, 0, 1, 1, 0, 2/3, 0}, 
   {1, 2/3, 0, 1/3, 2/3, 0, 0, 2/3, 0}, {1/3, 0, 0, 1, 0, 2/3, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 1/3, 1/3, 1/3, 0, 2/3, 2/3, 2/3, 0}, 
   {0, 1/3, 1, 1/3, 2/3, 0, 2/3, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/4, 1/4, 0, 1/4, 1/4, 0, 0, 1/2, 0}, 
   {0, 0, 1/4, 0, 0, 1/4, 0, 0, 1/2}, {1/4, 0, 0, 0, 3/4, 1/4, 0, 1, 0}, 
   {0, 3/4, 1/4, 1/4, 0, 0, 1, 0, 1/2}, {0, 1/4, 0, 3/4, 0, 3/4, 0, 1, 0}, 
   {1/4, 1/2, 3/4, 1/2, 1/4, 0, 0, 1/2, 0}, {3/4, 0, 1/4, 0, 1/4, 0, 1, 0, 
    1/2}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 4/5, 4/5, 0, 0, 0, 0, 0, 0}, {0, 4/5, 0, 4/5, 0, 0, 0, 0, 4/5}, 
   {0, 0, 0, 0, 4/5, 0, 0, 4/5, 0}, {4/5, 4/5, 0, 0, 1/5, 0, 0, 1, 0}, 
   {4/5, 0, 0, 1/5, 0, 1, 3/5, 0, 1/5}, {0, 0, 4/5, 2/5, 1, 0, 2/5, 1/5, 0}, 
   {0, 0, 4/5, 1/5, 0, 3/5, 0, 1/5, 2/5}, {4/5, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 4/5, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 1, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 1, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1/2, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 1, 1, 1/3, 0}, {2/3, 0, 1/3, 0, 0, 0, 0, 1}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 1/3, 1/3, 0, 0, 1}, {0, 0, 0, 1, 1/3, 2/3, 0, 1}, 
   {0, 0, 1, 2/3, 0, 1, 1/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1/2, 1, 0, 0, 1/2}, {1, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, {1/2, 1/2, 0, 1, 0, 0, 0, 1/2, 1/2}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/7, 3/7, 5/7, 0, 1, 0, 0, 4/7}, {1, 0, 0, 0, 1, 0, 4/7, 0, 0}, 
   {3/7, 0, 6/7, 0, 1/7, 2/7, 2/7, 2/7, 0}, {0, 0, 0, 2/7, 6/7, 0, 0, 2/7, 
    0}, {0, 0, 0, 0, 4/7, 0, 0, 2/7, 2/7}, {0, 6/7, 0, 2/7, 0, 0, 4/7, 0, 0}, 
   {0, 5/7, 1, 0, 1, 0, 2/7, 0, 2/7}, {3/7, 0, 0, 5/7, 0, 1, 0, 4/7, 0}, 
   {0, 3/7, 3/7, 2/7, 3/7, 0, 0, 4/7, 4/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 1, 0, 0, 1/2, 1, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 1, 0}, {1, 0, 1/2, 1, 0, 1, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 2/3, 0, 0, 1/3}, {0, 1/3, 2/3, 0, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 1/3, 0, 2/3}, {1/3, 2/3, 1/3, 1/3, 0, 0, 0, 0, 0}, 
   {0, 1/3, 1/3, 1/3, 0, 1/3, 0, 1/3, 0}, {2/3, 0, 0, 0, 1/3, 0, 1/3, 1/3, 
    0}, {2/3, 1/3, 0, 1/3, 2/3, 0, 0, 1/3, 0}, {0, 1/3, 2/3, 0, 0, 2/3, 2/3, 
    0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1/2, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 1, 1/3, 0, 1, 1/3, 0}, {0, 2/3, 0, 0, 0, 1/3, 0, 0, 1}, 
   {2/3, 0, 2/3, 1/3, 1/3, 0, 1, 1/3, 0}, {0, 0, 2/3, 1/3, 1/3, 0, 0, 2/3, 
    1}, {0, 0, 2/3, 1, 1/3, 2/3, 0, 0, 1/3}, {0, 2/3, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1, 1/2, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 1, 0, 1/2, 0, 1}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 1, 0}, {1, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1, 0, 1/2, 1, 1/2, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 1, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 1}, {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1/2, 1, 0, 1/2, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/4, 0, 1/4, 1/2, 0, 0, 1/2, 0, 3/4}, {0, 1/4, 0, 0, 0, 1, 1, 1/4, 0}, 
   {0, 0, 3/4, 1, 1/4, 0, 0, 0, 1/4}, {0, 3/4, 0, 1, 1, 0, 1/4, 3/4, 0}, 
   {1/4, 0, 1/4, 0, 0, 0, 0, 1/2, 3/4}, {0, 0, 3/4, 0, 0, 1/2, 0, 0, 1}, 
   {3/4, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {3/4, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 3/4, 1, 0, 3/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/7, 0, 5/7, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 5/7, 1/7, 0, 0, 4/7}, 
   {6/7, 5/7, 0, 3/7, 0, 2/7, 0, 0, 0}, {0, 3/7, 2/7, 5/7, 6/7, 0, 0, 0, 
    4/7}, {1/7, 0, 3/7, 0, 5/7, 1, 0, 4/7, 0}, {0, 2/7, 2/7, 2/7, 0, 6/7, 
    4/7, 0, 0}, {6/7, 0, 4/7, 0, 2/7, 4/7, 0, 0, 0}, 
   {2/7, 0, 0, 0, 2/7, 0, 4/7, 4/7, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1/2, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1, 0, 0, 1}, {1, 1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 1, 1/2}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 1/2, 0, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1, 0, 1/2, 0}, 
   {1, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 1, 1, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1/4, 1/2, 0, 0, 0, 3/4, 1/2, 3/4, 
    0}, {1, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 0, 1/2, 1/4, 0, 0, 0, 0}, 
   {1/4, 1/2, 0, 1/2, 0, 0, 0, 1/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {1/2, 0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, {1, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 1, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1, 1/2, 1, 0, 1/2, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1, 0, 1/2, 1/2, 0}, {1, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {1, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 1, 0, 0, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1/2, 0, 0, 0, 1, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{5/17, 0, 7/17, 10/17, 0, 14/17, 3/17, 0, 2/17}, 
   {0, 13/17, 0, 0, 8/17, 4/17, 0, 7/17, 9/17}, {5/17, 0, 13/17, 10/17, 0, 0, 
    1, 0, 0}, {2/17, 9/17, 0, 10/17, 0, 0, 13/17, 0, 0}, 
   {0, 5/17, 0, 8/17, 0, 4/17, 9/17, 2/17, 0}, {13/17, 0, 1, 0, 14/17, 0, 0, 
    7/17, 9/17}, {0, 0, 0, 4/17, 0, 0, 0, 10/17, 12/17}, 
   {6/17, 4/17, 0, 0, 4/17, 0, 0, 6/17, 4/17}, {0, 0, 0, 0, 12/17, 10/17, 
    4/17, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 2/3, 0, 1, 0, 0, 0}, {1, 0, 0, 1/3, 1, 0, 2/3, 0, 0}, 
   {1/3, 0, 0, 0, 2/3, 1/3, 0, 0, 2/3}, {1, 2/3, 0, 2/3, 0, 1/3, 0, 0, 0}, 
   {0, 1, 1/3, 1/3, 1, 0, 0, 0, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 1, 0, 1/3, 1/3}, 
   {0, 0, 1/3, 2/3, 0, 1/3, 2/3, 1, 0}, {2/3, 1/3, 0, 0, 1/3, 0, 2/3, 0, 0}, 
   {1/3, 1, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 1, 0, 0, 0, 0, 1}, 
   {1/3, 0, 0, 0, 2/3, 0, 1, 0, 0}, {0, 2/3, 1, 0, 0, 1/3, 1/3, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 2/3, 2/3}, {0, 2/3, 0, 1, 0, 1, 1/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 1/2, 0, 1}, {1/2, 0, 1/2, 1/2, 0, 1/2, 1, 0, 0}, 
   {1, 1/2, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{4/5, 0, 2/5, 0, 0, 0, 0, 2/5}, {0, 0, 0, 0, 2/5, 4/5, 2/5, 0}, 
   {0, 2/5, 1/5, 0, 2/5, 0, 1/5, 1}, {2/5, 0, 0, 3/5, 3/5, 3/5, 2/5, 0}, 
   {0, 4/5, 1/5, 0, 0, 0, 1/5, 1}, {0, 0, 0, 3/5, 1/5, 0, 1/5, 1}, 
   {0, 2/5, 3/5, 0, 0, 1/5, 2/5, 0}, {0, 0, 1, 2/5, 0, 1/5, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/7, 0, 0, 5/7, 0, 1, 0, 0, 0}, 
   {0, 1, 3/7, 2/7, 1/7, 0, 4/7, 0, 0}, {0, 0, 0, 0, 6/7, 0, 0, 6/7, 4/7}, 
   {4/7, 2/7, 2/7, 0, 2/7, 2/7, 0, 0, 0}, {6/7, 0, 4/7, 2/7, 0, 0, 0, 0, 0}, 
   {0, 1, 3/7, 1/7, 0, 3/7, 0, 0, 0}, {3/7, 0, 0, 2/7, 1, 0, 0, 0, 0}, 
   {1/7, 0, 0, 0, 1, 0, 2/7, 0, 2/7}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 1/4, 3/4, 0}, {1/4, 0, 1/4, 0, 0, 1/2, 0, 3/4, 1/4}, 
   {1/2, 1/2, 0, 1, 1/4, 0, 0, 0, 1}, {0, 0, 0, 1/2, 3/4, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 1/4, 0, 1, 0, 0, 1/4}, {0, 1/4, 0, 0, 0, 1, 3/4, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/4, 0, 0, 0, 1/4}, {1/4, 0, 3/4, 0, 0, 0, 0, 0, 1/4}, 
   {0, 1/4, 0, 0, 3/4, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/5, 1/5, 0, 0, 2/5, 3/5, 0, 0, 2/5}, {0, 2/5, 1, 1/5, 3/5, 0, 0, 0, 0}, 
   {3/5, 1/5, 0, 0, 0, 3/5, 0, 0, 2/5}, {2/5, 0, 3/5, 0, 0, 3/5, 2/5, 2/5, 
    0}, {0, 0, 1, 2/5, 0, 3/5, 0, 0, 2/5}, {1, 1/5, 0, 1/5, 3/5, 0, 4/5, 0, 
    0}, {0, 2/5, 0, 2/5, 0, 0, 2/5, 2/5, 0}, {0, 0, 2/5, 2/5, 4/5, 2/5, 0, 0, 
    0}, {2/5, 4/5, 0, 0, 0, 0, 0, 4/5, 2/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 2/3, 0, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 1/3, 0, 1/3}, {0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {1/3, 0, 2/3, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 2/3}, 
   {0, 1, 2/3, 0, 0, 1/3, 0, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/4, 0, 1/4, 1/4, 0, 0, 3/4, 0, 1/4}, {0, 1/4, 1/4, 1, 0, 1, 0, 0, 0}, 
   {3/4, 0, 0, 0, 1/4, 0, 1, 0, 0}, {0, 1/4, 0, 0, 1, 0, 0, 1/4, 0}, 
   {1/4, 0, 0, 0, 3/4, 1/4, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 3/4, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 3/4, 1/4, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/4, 0, 1/4, 0, 1, 3/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1, 1, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 1/2, 0}, {1, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 1/2}, {0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 1, 1, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1, 1, 0, 1/2, 0}, {0, 1/2, 1/2, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 1/2, 1/2}, {0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 0, 1/2, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 2/3, 1, 0, 0, 1/3, 2/3, 0}, 
   {0, 2/3, 0, 0, 1/3, 1, 0, 1, 1}, {2/3, 0, 0, 1/3, 0, 0, 1, 0, 0}, 
   {0, 2/3, 2/3, 0, 1/3, 1, 1, 0, 0}, {0, 2/3, 0, 1/3, 0, 2/3, 2/3, 1/3, 
    1/3}, {2/3, 0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1, 1, 1/2, 0, 0, 1/2, 1, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 1/2, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 1, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 1, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1}, {1, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 2/3, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 1/3, 2/3, 0, 1/3, 0, 1/3, 0, 0}, {0, 0, 1/3, 0, 1/3, 0, 1/3, 0, 1/3}, 
   {0, 1/3, 1/3, 2/3, 1/3, 0, 1/3, 0, 0}, {1/3, 0, 0, 1/3, 0, 1/3, 1/3, 2/3, 
    0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 1/3}, {0, 0, 0, 1/3, 1/3, 1, 1/3, 0, 0}, 
   {1, 1/3, 0, 0, 1/3, 0, 1/3, 2/3, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 1/3, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 1, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 3/4, 0, 3/4, 1, 0, 0, 0, 0}, 
   {0, 3/4, 1/4, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 3/4}, 
   {0, 0, 1/4, 0, 1/2, 1/2, 0, 0, 1/4}, {0, 0, 3/4, 0, 0, 0, 0, 0, 3/4}, 
   {0, 0, 0, 1/4, 0, 1, 3/4, 0, 0}, {3/4, 0, 0, 0, 0, 1/4, 1, 0, 1/4}, 
   {0, 1, 1/4, 1/2, 0, 1, 0, 0, 0}, {1/4, 0, 0, 0, 1/4, 0, 1, 3/4, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 1, 0, 1}, 
   {1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 
    0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1/2, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, {0, 1, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {0, 1/2, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 1, 0, 2/3, 0, 0, 1/3, 2/3}, 
   {0, 0, 1, 2/3, 2/3, 0, 0, 1/3, 0}, {1/3, 1, 0, 0, 0, 2/3, 1, 0, 1/3}, 
   {1, 1, 0, 0, 2/3, 0, 0, 1/3, 2/3}, {1, 1, 0, 2/3, 2/3, 0, 0, 1/3, 0}, 
   {0, 0, 1, 0, 0, 2/3, 1, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 1, 0, 1/3, 0, 1/3, 2/3}, 
   {0, 0, 1, 0, 1, 0, 1/3, 0}, {0, 2/3, 0, 1/3, 0, 1/3, 0, 1}, 
   {0, 0, 0, 1/3, 0, 2/3, 1, 0}, {2/3, 0, 1/3, 0, 1/3, 1/3, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 2/3, 0, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1/3, 0, 2/3, 2/3, 0, 0, 1/3}, {0, 0, 1, 2/3, 0, 1/3, 1/3, 0, 2/3}, 
   {1, 2/3, 0, 1/3, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1/3, 0, 0, 1/3, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 1/3, 0, 0}, 
   {0, 1/3, 1, 0, 0, 0, 1/3, 2/3, 0}, {1/3, 1, 0, 2/3, 0, 0, 0, 0, 1}, 
   {0, 0, 2/3, 0, 2/3, 1/3, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1, 0}, {0, 1/2, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 1, 0, 1/2, 1/2, 1/2, 0, 0}, {1, 0, 1, 1, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 1, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1/2, 1, 1, 1, 0}, 
   {1, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, {0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1/2}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 1, 0, 1}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1/2, 1}, {1/2, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 1/2, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 2/3, 0, 1/3, 0, 1/3}, {0, 2/3, 0, 2/3, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 2/3, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 1/3, 0}, 
   {0, 1/3, 1/3, 0, 1/3, 1/3, 0, 0, 0}, {0, 0, 1/3, 0, 2/3, 0, 1/3, 0, 0}, 
   {0, 1/3, 0, 1, 0, 1, 0, 0, 0}, {2/3, 0, 1/3, 0, 1/3, 0, 0, 2/3, 1/3}, 
   {2/3, 1/3, 0, 1/3, 0, 2/3, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 2/9, 2/9, 0, 2/9, 1, 0, 7/9}, 
   {0, 1, 5/9, 0, 2/9, 0, 0, 1/9, 0}, {0, 7/9, 1/9, 0, 2/3, 0, 1/9, 0, 1/9}, 
   {7/9, 0, 2/9, 0, 0, 0, 0, 7/9, 0}, {5/9, 0, 0, 2/9, 0, 0, 0, 7/9, 2/9}, 
   {0, 2/9, 0, 8/9, 0, 8/9, 2/9, 0, 0}, {8/9, 0, 4/9, 0, 2/9, 0, 0, 0, 0}, 
   {8/9, 0, 2/9, 0, 0, 2/9, 0, 2/9, 2/9}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 1, 0, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 1/3, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1/3, 0, 0, 0, 2/3, 1/3, 0, 1/3}, {0, 1/3, 0, 0, 0, 1/3, 2/3, 1}, 
   {1, 0, 2/3, 2/3, 0, 0, 1/3, 0}, {0, 1, 2/3, 0, 0, 1/3, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 1, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 1/2, 1, 0}, 
   {1, 1, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 1, 1, 1/2, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1/3, 2/3, 0, 1, 0, 0, 0, 1/3}, {0, 0, 0, 0, 1, 1/3, 0, 0, 1}, 
   {2/3, 1/3, 0, 0, 0, 1/3, 1/3, 0, 0}, {2/3, 1/3, 0, 0, 0, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 2/3, 0, 0, 2/3}, {0, 0, 0, 1, 0, 1/3, 0, 0, 1}, 
   {1/3, 0, 1, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 2/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {1/3, 1, 0, 0, 0, 0, 2/3, 1, 0}, {1/3, 1, 0, 2/3, 0, 0, 0, 1, 0}, 
   {2/3, 0, 1, 0, 0, 0, 1/3, 0, 1}, {1/3, 1, 0, 0, 0, 0, 1/3, 0, 1}, 
   {0, 0, 1/3, 0, 0, 2/3, 0, 1, 2/3}, {2/3, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1, 1, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 1, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 1/2}, {1/2, 0, 1, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 1/2, 0, 1}, 
   {0, 1, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 1, 0}, {0, 1, 2/3, 0, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 0, 2/3, 1/3, 0, 1/3, 0, 1/3}, {0, 2/3, 1/3, 1/3, 0, 0, 1/3, 0, 0}, 
   {1/3, 0, 0, 0, 2/3, 2/3, 0, 1/3, 0}, {2/3, 0, 1/3, 0, 1/3, 2/3, 0, 1/3, 
    0}, {0, 1/3, 0, 0, 1/3, 0, 2/3, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 2/3, 0, 1/3, 0, 1/3}, {0, 1/3, 0, 0, 0, 0, 1, 0}, 
   {1/3, 0, 2/3, 2/3, 0, 0, 1, 0}, {1/3, 0, 0, 2/3, 0, 0, 1, 2/3}, 
   {0, 1/3, 0, 0, 2/3, 1/3, 0, 1}, {2/3, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {1/2, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1, 1/2}, 
   {1, 0, 0, 1/2, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 1, 0, 1/2, 0, 0}, {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 2/3, 0, 1, 0}, {0, 1/3, 2/3, 2/3, 2/3, 0, 1, 0, 1/3}, 
   {0, 1, 0, 2/3, 0, 2/3, 1/3, 0, 1/3}, {0, 1, 0, 0, 2/3, 0, 0, 1/3, 0}, 
   {1/3, 0, 1, 0, 0, 2/3, 1, 0, 1}, {0, 1/3, 0, 2/3, 2/3, 0, 0, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/5, 4/5, 1/5, 0, 0, 1/5, 1/5}, {2/5, 0, 0, 0, 2/5, 1, 0, 0}, 
   {3/5, 0, 3/5, 0, 3/5, 0, 0, 0}, {0, 0, 0, 0, 3/5, 0, 3/5, 0}, 
   {0, 3/5, 0, 3/5, 0, 0, 0, 0}, {4/5, 0, 1, 1, 0, 1/5, 0, 0}, 
   {0, 1, 3/5, 0, 4/5, 4/5, 0, 3/5}, {1/5, 0, 0, 3/5, 4/5, 0, 2/5, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1, 0}, 
   {1, 0, 1, 1/2, 1/2, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 1/3, 1, 0, 0, 0, 1/3, 0, 1}, 
   {0, 1, 1, 0, 2/3, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 2/3, 1, 0}, 
   {1, 0, 0, 2/3, 2/3, 0, 1/3, 0, 1/3}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{3/5, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1/5, 1, 0, 0, 2/5, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 2/5, 4/5}, {2/5, 0, 1, 4/5, 0, 1, 0, 0, 0}, 
   {3/5, 1, 0, 1/5, 1, 0, 0, 0, 0}, {0, 0, 4/5, 0, 0, 2/5, 4/5, 0, 0}, 
   {0, 0, 0, 4/5, 0, 0, 2/5, 0, 2/5}, {2/5, 0, 0, 4/5, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1, 1}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 1, 0}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1}, {0, 0, 1, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {1, 0, 1/2, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1/2, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{3/8, 3/8, 0, 0, 0, 1/4, 0, 7/8, 5/8}, {0, 0, 3/8, 1/2, 1, 0, 5/8, 0, 0}, 
   {1, 0, 5/8, 0, 0, 1/4, 3/8, 1/4, 0}, {0, 1, 0, 1/8, 0, 3/8, 7/8, 1/8, 0}, 
   {0, 0, 3/4, 1/4, 5/8, 0, 0, 3/4, 3/8}, {0, 1/4, 0, 0, 3/8, 1/2, 1, 0, 
    3/8}, {3/8, 1/8, 0, 3/8, 0, 1/8, 1/8, 0, 3/8}, 
   {0, 0, 3/8, 3/8, 0, 5/8, 0, 1/8, 0}, {3/8, 3/8, 0, 0, 1/8, 0, 0, 1/8, 
    1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 2/7, 3/7, 6/7, 0, 2/7, 3/7, 1/7, 0}, 
   {2/7, 0, 3/7, 4/7, 0, 0, 1, 1/7, 0}, {0, 0, 0, 0, 6/7, 4/7, 0, 4/7, 0}, 
   {2/7, 0, 0, 0, 0, 0, 0, 4/7, 4/7}, {0, 0, 4/7, 0, 2/7, 4/7, 0, 0, 4/7}, 
   {0, 0, 1, 0, 2/7, 0, 0, 2/7, 3/7}, {0, 2/7, 1, 0, 4/7, 0, 0, 0, 1/7}, 
   {1/7, 3/7, 0, 0, 0, 0, 1, 3/7, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 1/2, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/3, 1, 0, 0, 0, 0, 0, 1/3, 1/3}, {0, 0, 0, 1/3, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1/3}, {2/3, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1/3, 0, 0, 2/3, 2/3, 0, 1/3, 1/3}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 2/3, 0, 0, 1, 0, 1}, {1/3, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 1, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1/2, 0, 1/2, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 3/4, 1/4, 1/4, 3/4, 0, 0, 3/4, 0}, 
   {1/4, 1/4, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {3/4, 0, 0, 1/2, 0, 3/4, 0, 0, 0}, 
   {0, 0, 3/4, 0, 1/2, 0, 0, 1/4, 1/4}, {0, 3/4, 3/4, 0, 0, 1/4, 0, 0, 3/4}, 
   {1/4, 0, 0, 0, 1, 0, 3/4, 1/4, 0}, {1, 1/4, 0, 1/4, 1/4, 0, 0, 0, 3/4}, 
   {0, 1/4, 0, 1/2, 0, 3/4, 1/4, 1/4, 0}, {0, 0, 0, 1/4, 1/4, 0, 1, 0, 3/4}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1/2, 0, 0, 1/2, 1}, 
   {1, 0, 1, 0, 1/2, 0, 0, 0, 0}, {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1/2, 1, 0, 0, 0, 1, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 3/5, 0, 1, 0, 0, 1}, 
   {2/5, 0, 0, 0, 1, 0, 1/5, 3/5, 0}, {0, 0, 2/5, 2/5, 1, 0, 2/5, 0, 1/5}, 
   {0, 0, 0, 1, 0, 1/5, 3/5, 1, 0}, {2/5, 0, 4/5, 0, 3/5, 0, 0, 0, 3/5}, 
   {0, 0, 0, 2/5, 0, 4/5, 2/5, 2/5, 0}, {0, 4/5, 0, 0, 2/5, 0, 0, 0, 4/5}, 
   {0, 2/5, 0, 0, 0, 4/5, 2/5, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1, 1}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/3, 0, 1/3, 2/3, 0}, 
   {0, 1/3, 2/3, 0, 0, 1/3, 0, 0, 1/3}, {1, 1, 1/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 2/3, 1, 0}, {2/3, 0, 0, 1/3, 2/3, 0, 2/3, 0, 1}, 
   {1/3, 0, 0, 1/3, 0, 1/3, 0, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 0, 0, 1/3, 1/3, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1, 0, 1/3, 0, 1/3, 0, 0, 0}, {0, 0, 1/3, 0, 1/3, 0, 0, 2/3, 0}, 
   {0, 0, 1, 1, 0, 1/3, 2/3, 0, 0}, {0, 0, 1, 1/3, 0, 1/3, 2/3, 0, 2/3}, 
   {1, 1, 0, 0, 1/3, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 2/3, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/7, 2/7, 0, 0, 0, 2/7}, 
   {0, 0, 2/7, 0, 0, 0, 2/7, 0, 4/7}, {4/7, 2/7, 0, 0, 0, 0, 0, 2/7, 0}, 
   {2/7, 0, 0, 0, 5/7, 0, 4/7, 0, 5/7}, {0, 0, 6/7, 3/7, 0, 5/7, 1/7, 3/7, 
    0}, {2/7, 0, 2/7, 0, 3/7, 2/7, 2/7, 0, 3/7}, 
   {0, 2/7, 2/7, 0, 3/7, 0, 1/7, 5/7, 0}, {4/7, 4/7, 0, 5/7, 0, 1, 0, 0, 
    1/7}, {0, 0, 2/7, 2/7, 5/7, 0, 3/7, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/3, 0, 2/3, 0}, {0, 1/3, 0, 1/3, 0, 0, 0, 2/3, 1/3}, 
   {1/3, 2/3, 0, 0, 2/3, 0, 0, 0, 1/3}, {0, 1/3, 0, 0, 1/3, 0, 1/3, 1, 0}, 
   {0, 0, 0, 0, 1/3, 1, 0, 0, 0}, {1/3, 0, 2/3, 0, 0, 1/3, 1/3, 0, 0}, 
   {2/3, 0, 2/3, 1/3, 2/3, 0, 0, 0, 1/3}, {1/3, 0, 2/3, 0, 1, 1/3, 1/3, 1/3, 
    0}, {0, 1/3, 0, 1, 0, 0, 2/3, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1, 1/2}, {0, 1/2, 1/2, 0, 1/2, 1, 1/2, 1/2, 
    0}, {1, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 1/3, 0, 1, 1/3, 0, 2/3, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1/3, 2/3, 2/3, 0, 1/3, 2/3, 1, 0}, {1, 0, 1/3, 1, 1, 0, 0, 0, 2/3}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 2/3, 1/3}, {0, 0, 1/3, 0, 1, 1/3, 1, 0}, 
   {0, 0, 0, 1, 0, 2/3, 0, 1}, {0, 0, 2/3, 1, 0, 1/3, 1, 0}, 
   {0, 2/3, 1, 0, 1/3, 0, 0, 1}, {0, 0, 0, 1/3, 0, 1/3, 1, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 1}, 
   {1, 1/2, 0, 0, 0, 1/2, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 5/6, 1/6, 0, 1/2, 0, 1/6, 1/3}, {1/6, 2/3, 5/6, 1/6, 0, 0, 0, 0, 
    0}, {0, 0, 0, 1/2, 1/3, 0, 1/2, 5/6, 0}, {0, 0, 0, 0, 1/6, 1/2, 0, 1/6, 
    1/2}, {0, 0, 2/3, 1/6, 0, 1, 1/6, 0, 0}, {1/2, 1/6, 0, 0, 1/6, 0, 0, 0, 
    1}, {1/6, 0, 0, 1/3, 2/3, 0, 1/2, 1/6, 0}, {0, 0, 1/6, 1/2, 5/6, 0, 1/3, 
    1/3, 0}, {5/6, 5/6, 0, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1/3, 1}, 
   {1/3, 0, 1/3, 1/3, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/3, 0}, {0, 0, 0, 1/3, 0, 0, 0, 0, 1}, 
   {1/3, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1/3, 0, 1/3, 0, 2/3, 2/3, 0, 2/3}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {2/3, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/3, 0, 0, 1/3, 0, 1}, 
   {2/3, 0, 0, 1/3, 1, 0, 1, 0}, {2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 1/3, 1, 1/3, 0, 1/3}, {2/3, 0, 1/3, 0, 0, 0, 1/3, 0}, 
   {0, 0, 1/3, 0, 2/3, 2/3, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 1, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1, 1/2, 0, 1/2, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 1/3, 0, 0, 1, 2/3, 2/3, 0}, 
   {1/3, 0, 0, 0, 1/3, 1, 1/3, 1/3}, {1/3, 0, 1, 1/3, 0, 0, 0, 2/3}, 
   {0, 1/3, 1, 1, 0, 2/3, 2/3, 0}, {1, 0, 2/3, 0, 1/3, 2/3, 0, 0}, 
   {1/3, 0, 0, 0, 1, 0, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {0, 1, 1, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 1, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 0, 1/2, 1, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {1, 1, 0, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 1/3, 0, 2/3, 0, 1, 0, 1/3}, 
   {0, 1/3, 2/3, 2/3, 0, 1/3, 0, 1/3}, {1/3, 0, 0, 0, 0, 2/3, 1, 0}, 
   {1/3, 0, 2/3, 0, 0, 1/3, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/3, 0, 0, 0, 0, 1, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 3/4, 0, 3/4, 0, 0, 0, 0, 1/2}, {1/2, 3/4, 0, 1/2, 0, 0, 1/4, 0, 0}, 
   {3/4, 1/2, 1/2, 0, 1/4, 0, 1/4, 0, 1/4}, {0, 1/4, 1/2, 0, 3/4, 1/2, 0, 0, 
    0}, {3/4, 0, 0, 1/4, 0, 1, 0, 0, 1/4}, {0, 1/4, 1, 0, 1/2, 0, 1/2, 1/4, 
    0}, {1/2, 0, 0, 0, 1, 0, 0, 1/4, 0}, {3/4, 0, 0, 1/4, 1, 0, 0, 0, 0}, 
   {0, 0, 3/4, 0, 0, 1/2, 1/4, 1/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 0, 1, 0}, {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1/2, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1/2, 1, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1, 1}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 1, 0, 1/2, 1/2, 0, 0, 1}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 1/3, 1/3, 0, 0, 2/3, 0, 1, 1}, {1/3, 0, 0, 2/3, 0, 2/3, 1/3, 0, 0}, 
   {1, 0, 2/3, 0, 0, 0, 1, 0, 0}, {1/3, 0, 0, 2/3, 0, 0, 0, 1, 1}, 
   {1/3, 0, 0, 2/3, 0, 2/3, 0, 1/3, 1}, {0, 1, 1/3, 0, 2/3, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 1, 1/2, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1/3, 1/3, 0, 1/3, 0, 0}, 
   {0, 0, 0, 2/3, 1/3, 0, 1/3, 1}, {0, 0, 0, 0, 2/3, 0, 1/3, 2/3}, 
   {0, 2/3, 0, 0, 0, 0, 1/3, 0}, {0, 0, 0, 0, 1/3, 1, 1/3, 0}, 
   {0, 0, 1/3, 1/3, 0, 2/3, 0, 1/3}, {2/3, 0, 1, 1/3, 0, 0, 0, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1, 1/2, 0}, {1, 0, 1/2, 1, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 1/2, 0, 1, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0}, {1/2, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 0, 0, 1, 1/3}, {1/3, 0, 2/3, 0, 0, 1/3, 0, 0}, 
   {1, 0, 2/3, 0, 0, 0, 1, 1}, {0, 1/3, 0, 0, 2/3, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, {2/3, 0, 0, 2/3, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/3, 2/3, 0, 0, 0, 1, 0, 1/3}, 
   {0, 0, 1/3, 1, 0, 0, 0, 1/3, 1/3}, {2/3, 1/3, 0, 0, 1/3, 1/3, 1/3, 1/3, 
    0}, {0, 1/3, 2/3, 0, 1/3, 0, 0, 2/3, 0}, {2/3, 0, 1/3, 1/3, 2/3, 0, 0, 0, 
    0}, {0, 1/3, 0, 0, 0, 0, 0, 2/3, 2/3}, {1/3, 0, 0, 1/3, 0, 2/3, 2/3, 0, 
    0}, {0, 0, 2/3, 0, 1, 1, 0, 1/3, 2/3}, {1/3, 2/3, 0, 0, 0, 0, 2/3, 0, 
    1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {0, 0, 1/2, 1, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 1}, 
   {0, 1, 1, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1/2}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 3/5, 2/5, 2/5, 2/5, 0, 3/5, 0, 0}, 
   {3/5, 1/5, 0, 0, 0, 3/5, 0, 4/5, 0}, {0, 1/5, 0, 0, 0, 0, 3/5, 4/5, 0}, 
   {0, 2/5, 3/5, 2/5, 0, 2/5, 0, 0, 2/5}, {1/5, 0, 0, 4/5, 1/5, 0, 1/5, 0, 
    4/5}, {0, 0, 1/5, 0, 0, 1/5, 4/5, 0, 4/5}, {0, 0, 1/5, 0, 2/5, 0, 0, 4/5, 
    1/5}, {1/5, 0, 0, 0, 3/5, 1/5, 0, 2/5, 0}, {3/5, 0, 0, 0, 0, 3/5, 3/5, 0, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/3, 0}, {1/3, 0, 2/3, 0, 1/3, 0, 1}, 
   {2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 0, 0}, 
   {1, 0, 0, 0, 2/3, 1/3, 0}, {0, 1/3, 2/3, 0, 1/3, 0, 1/3}, 
   {1, 0, 0, 2/3, 0, 1/3, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/3, 0, 1, 2/3, 0, 0, 0}, {1, 0, 1/3, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1/3, 0, 0, 0, 2/3}, {0, 1/3, 0, 1/3, 2/3, 1/3, 1/3, 1/3}, 
   {1, 0, 2/3, 1, 0, 0, 0, 0}, {0, 1, 1/3, 0, 1/3, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 2/3, 0, 0, 0, 1/3, 1/3, 0}, 
   {0, 0, 1, 1, 2/3, 0, 0, 0, 0}, {2/3, 1/3, 0, 0, 1/3, 1, 0, 1/3, 2/3}, 
   {2/3, 0, 1/3, 0, 1/3, 0, 1/3, 1/3, 0}, {1, 0, 0, 2/3, 1/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 1, 0, 1/3, 2/3}, {0, 0, 0, 0, 0, 1, 2/3, 0, 0}, 
   {0, 0, 0, 1/3, 0, 1, 1/3, 0, 0}, {0, 1, 0, 1/3, 1/3, 0, 0, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 1}, 
   {0, 0, 1, 1/2, 1, 0, 1, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 1/3, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 0, 1, 1, 1/3, 0}, {0, 2/3, 0, 0, 0, 1, 0, 0, 1}, 
   {2/3, 0, 0, 0, 0, 1/3, 2/3, 0, 1}, {2/3, 0, 0, 1/3, 1, 0, 1/3, 1/3, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 2/3, 2/3}, {2/3, 0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, 
   {0, 2/3, 0, 2/3, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 1, 1/3, 0, 1/3, 0, 0, 2/3, 2/3}, 
   {0, 1, 1, 2/3, 1, 0, 0, 0, 0}, {1, 2/3, 0, 1/3, 0, 1, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 1/3, 0, 1, 2/3, 0, 0}, {1, 0, 0, 0, 1/3, 0, 0, 0, 2/3}, 
   {1, 0, 0, 2/3, 1/3, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 1, 1, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1/2, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1/2, 1/2, 1/2, 0, 1, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 
    0}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 1, 0, 1/2}, 
   {1/2, 0, 1/2, 1, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 1/3, 1, 0, 1, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0}, {0, 1/3, 2/3, 1/3, 0, 0, 0, 2/3}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1/3, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1/2}, {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 1/3, 0, 2/3, 2/3, 1/3, 0, 0}, {1, 0, 0, 0, 2/3, 0, 1/3, 1/3}, 
   {0, 1/3, 0, 0, 0, 1, 0, 2/3}, {0, 1, 2/3, 0, 0, 0, 1, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 1/3, 2/3, 0}, {1, 0, 0, 2/3, 2/3, 1/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 1, 1/3, 0}, 
   {2/3, 0, 0, 1, 1, 0, 0, 1/3}, {0, 2/3, 1/3, 2/3, 0, 0, 0, 1/3}, 
   {0, 0, 1, 0, 0, 0, 2/3, 1}, {2/3, 0, 0, 1, 1, 1, 1/3, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1/2, 0, 1, 0, 0, 1/2, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 2/3, 1}, {1/3, 0, 2/3, 0, 0, 1/3, 0, 0, 2/3}, 
   {1, 2/3, 0, 1, 1, 0, 1, 1/3, 0}, {0, 1/3, 1, 0, 1/3, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/3, 1}, {1/3, 1/3, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 1, 1/3, 0}, {1, 2/3, 0, 0, 1, 0, 0, 1/3, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1}, {1/2, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 1}, {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1, 0}, {0, 0, 1/2, 1, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 2/3}, {2/3, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1/3, 0, 0, 2/3, 2/3}, {1/3, 0, 1, 1/3, 0, 1, 0, 2/3, 0}, 
   {2/3, 1, 0, 1, 0, 1, 2/3, 0, 0}, {0, 1/3, 0, 1, 2/3, 1, 0, 0, 0}, 
   {1/3, 0, 1, 0, 1, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, {1/3, 0, 1/3, 2/3, 0, 0, 1/3, 0, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 0, 1/3, 1/3}, {2/3, 0, 2/3, 0, 0, 0, 1/3, 1, 0}, 
   {0, 1, 0, 0, 1/3, 0, 2/3, 0, 2/3}, {1/3, 0, 1, 1/3, 0, 1, 0, 0, 1/3}, 
   {2/3, 0, 2/3, 0, 1, 0, 2/3, 0, 1}, {0, 2/3, 0, 0, 0, 1/3, 1/3, 1/3, 1/3}, 
   {0, 1, 0, 1/3, 0, 1/3, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 3/4, 3/4, 0, 0, 0, 0, 1/4}, 
   {0, 1, 0, 0, 1, 1/4, 1/2, 0, 0}, {0, 0, 3/4, 1, 0, 0, 0, 1/4, 1/4}, 
   {0, 3/4, 0, 1/4, 3/4, 0, 1/4, 0, 0}, {0, 0, 1/2, 0, 3/4, 3/4, 0, 0, 0}, 
   {3/4, 3/4, 0, 1/2, 0, 0, 0, 0, 0}, {1, 0, 3/4, 0, 0, 0, 1/4, 0, 0}, 
   {1/2, 0, 0, 0, 1/4, 1/4, 0, 3/4, 3/4}, {0, 0, 0, 1, 0, 3/4, 1/4, 1/4, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{3/4, 0, 3/4, 0, 1, 1/4, 0, 0, 0}, {1/2, 3/4, 0, 3/4, 0, 1/4, 1/4, 0, 0}, 
   {0, 3/4, 0, 1/4, 0, 0, 1, 1/2, 0}, {0, 3/4, 0, 0, 1/4, 0, 0, 1/4, 3/4}, 
   {3/4, 0, 0, 1, 0, 3/4, 0, 0, 0}, {1/4, 1, 0, 0, 0, 1/4, 0, 0, 3/4}, 
   {0, 0, 1/4, 0, 3/4, 1/4, 1/4, 0, 0}, {0, 0, 0, 0, 1, 1/4, 1/4, 1/4, 0}, 
   {0, 0, 3/4, 1/4, 0, 0, 0, 1/4, 1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1, 0, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1, 1, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 1, 1/2, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/4, 0, 0, 1/4, 1/4}, {1/4, 0, 0, 1/4, 0, 0, 1/4, 0, 0}, 
   {0, 0, 0, 0, 3/4, 3/4, 0, 1/4, 1/4}, {1/4, 0, 1, 0, 0, 0, 1/4, 1, 0}, 
   {0, 0, 0, 1/4, 1, 0, 3/4, 0, 1}, {0, 1/4, 1/4, 1/2, 3/4, 3/4, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, {1/2, 1, 0, 1/2, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 2/3, 0, 0, 1/3, 0}, 
   {0, 0, 1, 0, 0, 1/3, 0, 0, 2/3}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/3, 0, 0, 2/3, 1, 0}, {0, 2/3, 2/3, 2/3, 1/3, 0, 1/3, 0, 1/3}, 
   {2/3, 0, 0, 0, 0, 0, 1/3, 0, 1/3}, {1, 0, 0, 0, 1/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 1, 0, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1/2}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1/2}, {1/2, 1/2, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1, 2/3, 0, 1/3, 2/3, 0, 0, 0}, {0, 2/3, 2/3, 1/3, 0, 1, 1/3, 0, 0}, 
   {1, 0, 0, 2/3, 2/3, 0, 1/3, 1/3, 0}, {0, 0, 0, 0, 0, 1/3, 0, 1/3, 2/3}, 
   {0, 0, 1, 1/3, 1/3, 0, 1/3, 0, 0}, {1/3, 1/3, 0, 0, 0, 1, 0, 0, 0}, 
   {2/3, 0, 0, 1/3, 0, 1/3, 0, 1/3, 2/3}, {2/3, 0, 1/3, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1/3, 2/3, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 1/3, 1/3, 0, 1/3, 2/3}, {0, 0, 1, 2/3, 0, 1/3, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1/3, 1, 1, 0, 1}, {2/3, 0, 1/3, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/7, 0, 0, 5/7, 1, 0, 0, 5/7}, 
   {0, 1, 0, 0, 1/7, 0, 3/7, 1, 0}, {5/7, 0, 1, 0, 0, 0, 3/7, 0, 1}, 
   {2/7, 0, 0, 3/7, 3/7, 0, 1/7, 0, 2/7}, {1, 0, 0, 0, 0, 2/7, 0, 3/7, 0}, 
   {0, 1/7, 0, 1/7, 0, 0, 1/7, 2/7, 6/7}, {0, 1, 0, 4/7, 0, 0, 3/7, 0, 6/7}, 
   {0, 0, 1, 0, 0, 3/7, 5/7, 4/7, 0}, {3/7, 3/7, 5/7, 2/7, 1/7, 0, 0, 4/7, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 1, 0, 1, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1, 1/2, 0, 1, 1, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 1, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 4/5, 0, 0, 3/5, 1/5, 0, 3/5}, {0, 0, 0, 3/5, 1/5, 0, 0, 3/5, 0}, 
   {2/5, 2/5, 0, 1/5, 1/5, 0, 3/5, 0, 1}, {0, 0, 0, 0, 2/5, 1, 0, 3/5, 0}, 
   {0, 0, 2/5, 4/5, 2/5, 0, 0, 0, 0}, {2/5, 0, 0, 0, 0, 2/5, 2/5, 0, 2/5}, 
   {0, 0, 0, 2/5, 2/5, 0, 2/5, 2/5, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1/2, 0, 1, 1/2, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 1/3, 2/3, 0, 1/3, 0}, 
   {0, 2/3, 1, 0, 0, 0, 0, 0, 1/3}, {1/3, 1/3, 0, 2/3, 2/3, 0, 1, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 2/3, 1/3, 0, 0}, {1, 1/3, 0, 1/3, 0, 0, 0, 2/3, 2/3}, 
   {0, 1/3, 0, 0, 0, 2/3, 1/3, 0, 0}, {1, 1/3, 0, 0, 0, 0, 0, 0, 1/3}, 
   {0, 0, 1/3, 1, 2/3, 0, 0, 1/3, 0}, {2/3, 1/3, 0, 0, 0, 0, 0, 1/3, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 0, 1/3, 1, 0, 0, 0}, 
   {0, 1/3, 0, 0, 0, 1/3, 2/3, 0, 1/3}, {1/3, 0, 0, 1/3, 2/3, 0, 1, 0, 0}, 
   {0, 1/3, 0, 1, 1, 0, 0, 0, 1}, {2/3, 0, 1, 1/3, 0, 0, 0, 1/3, 0}, 
   {1, 1/3, 0, 0, 2/3, 1, 0, 0, 0}, {0, 0, 1/3, 0, 0, 0, 0, 2/3, 1}, 
   {0, 1/3, 1, 0, 0, 2/3, 0, 0, 0}, {0, 1, 0, 2/3, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1, 0, 1, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 1, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 1, 0, 0, 2/3, 1}, 
   {1/3, 0, 0, 1, 0, 1/3, 2/3, 0, 0}, {0, 0, 1/3, 1/3, 0, 1, 0, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 2/3, 0, 1/3, 0}, {1/3, 2/3, 0, 0, 1/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 2/3, 0, 0, 0, 2/3, 2/3}, {0, 1/3, 0, 0, 2/3, 2/3, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 1, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1/2, 1}, {0, 0, 1, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1/2, 1}, {0, 0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1/2, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1/2, 1, 0, 1/2, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 1/4, 0}, 
   {0, 0, 1/4, 0, 1/4, 1, 0, 1/4, 0}, {1/2, 0, 0, 1/4, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 1, 0}, {1/2, 0, 1/4, 1, 0, 1/4, 1/4, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/4, 1/2, 1, 0, 1}, {0, 0, 1/2, 0, 3/4, 0, 0, 3/4, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/4, 1/4}, {0, 1/2, 0, 3/4, 1/4, 0, 1/2, 0, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 1, 1/2, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 1, 0, 1, 0}, {0, 1, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1/2, 0, 1, 1/2}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 1/3, 0, 1/3, 0, 0, 1/3, 0}, {1/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 2/3, 1, 0, 2/3, 1/3, 0}, {0, 1/3, 2/3, 2/3, 1/3, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 2/3, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {1/2, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 0, 1, 0, 0, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/5, 3/5, 0, 0, 2/5, 0, 3/5, 0}, {0, 1/5, 3/5, 0, 0, 4/5, 0, 1/5, 0}, 
   {1, 0, 0, 0, 2/5, 0, 3/5, 0, 1/5}, {1/5, 0, 3/5, 0, 0, 0, 1/5, 1, 0}, 
   {0, 1/5, 2/5, 0, 0, 4/5, 0, 0, 1/5}, {0, 1, 0, 2/5, 0, 0, 2/5, 0, 1/5}, 
   {4/5, 4/5, 3/5, 0, 0, 2/5, 1/5, 0, 0}, {0, 0, 1, 4/5, 4/5, 0, 1/5, 0, 
    4/5}, {1, 3/5, 0, 0, 0, 2/5, 0, 3/5, 1/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 
    0}, {0, 1/2, 1/2, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 2/3, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1/3}, {0, 0, 1/3, 2/3, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {2/3, 0, 1, 2/3, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1/3}, {0, 1, 0, 1, 0, 0, 1, 0, 1/3}, 
   {1/3, 0, 0, 0, 2/3, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 2/3, 1/3, 1/3, 0, 1/3}, 
   {1, 0, 1, 1/3, 0, 2/3, 0, 1/3, 0}, {1/3, 1, 0, 0, 1, 0, 0, 0, 1/3}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 1/3, 0, 0}, {0, 0, 1/3, 1/3, 0, 2/3, 0, 1/3, 
    1/3}, {0, 1/3, 0, 2/3, 0, 1, 0, 0, 0}, {0, 0, 1/3, 1/3, 1, 0, 0, 0, 1/3}, 
   {0, 2/3, 0, 0, 0, 0, 1/3, 1/3, 0}, {0, 1, 0, 1/3, 0, 0, 0, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 1, 1/2, 0, 1, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1}, {0, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 1/3, 0, 0, 0}, 
   {0, 0, 0, 1/3, 0, 0, 0, 0, 1/3}, {0, 1, 0, 0, 1, 1, 1, 0, 1}, 
   {1/3, 0, 0, 2/3, 0, 0, 2/3, 1, 0}, {1, 2/3, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/3, 2/3, 0, 2/3, 1/3, 0, 1, 0}, {1, 0, 2/3, 0, 0, 0, 1/3, 0, 1}, 
   {0, 1/3, 0, 1, 0, 0, 1, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1/2, 0, 1}, {1, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1, 0, 0, 1/2, 1/2}, {1, 1/2, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 1, 1/2, 0}, {0, 0, 1, 1, 0, 0, 0, 1/2, 1}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 1, 
    0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, {2/3, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 1/3, 1/3, 0, 1/3, 1, 0}, {0, 2/3, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1/3, 1, 0, 1/3, 1, 0}, {0, 0, 2/3, 1/3, 1/3, 0, 0, 0, 1}, 
   {0, 2/3, 0, 0, 0, 1, 1/3, 1, 0}, {0, 0, 0, 1/3, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 2/3}, 
   {1, 0, 0, 0, 2/3, 1/3, 0, 0}, {0, 1, 2/3, 2/3, 0, 0, 1/3, 1/3}, 
   {1/3, 0, 2/3, 0, 0, 1, 2/3, 0}, {0, 1/3, 2/3, 0, 2/3, 1/3, 2/3, 0}, 
   {1, 0, 2/3, 2/3, 0, 0, 1/3, 1}, {0, 1, 0, 0, 2/3, 1/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 1, 1/2, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, {0, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1/3}, {1/3, 0, 0, 2/3, 2/3, 1/3, 1, 0}, 
   {0, 1, 0, 2/3, 2/3, 1/3, 1/3, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1/3, 0, 2/3, 0, 2/3, 2/3, 0, 1/3}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1/2, 0}, {1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1, 0, 0, 1/2, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1}, {1, 0, 0, 0, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 1, 1/2, 0, 0, 0, 1}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1, 1, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 0, 1, 0, 0, 0, 1/3}, {1, 1/3, 0, 1/3, 0, 1/3, 1/3, 2/3, 0}, 
   {0, 0, 2/3, 0, 2/3, 1/3, 0, 1/3, 1/3}, {2/3, 0, 2/3, 0, 0, 0, 1/3, 1/3, 
    0}, {1, 1/3, 0, 0, 1/3, 0, 0, 0, 2/3}, {0, 0, 2/3, 2/3, 0, 1, 1/3, 0, 0}, 
   {0, 0, 0, 1/3, 0, 1/3, 1/3, 0, 2/3}, {0, 2/3, 1/3, 0, 0, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 1/3, 1/3, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 1, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/3, 1/3, 0, 1, 0, 0, 0}, 
   {0, 1, 1/3, 1/3, 0, 1/3, 2/3, 0, 0}, {1/3, 0, 0, 0, 1/3, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, {1, 0, 0, 1/3, 0, 1/3, 0, 0, 2/3}, 
   {1, 2/3, 0, 1/3, 0, 1, 0, 0, 0}, {0, 1/3, 1/3, 0, 1, 0, 0, 2/3, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 1, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 2/3, 0, 0, 0, 1, 0, 1, 0}, {0, 1/3, 0, 0, 0, 1, 1/3, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 2/3, 0, 1}, 
   {1/3, 0, 2/3, 0, 1/3, 0, 0, 0, 0}, {1/3, 0, 0, 0, 1, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/3, 0, 1}, {0, 0, 1/3, 1/3, 0, 1, 0, 0, 1/3}, 
   {1/3, 2/3, 0, 1, 0, 0, 1/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/3, 0, 2/3, 0, 2/3}, {0, 0, 1, 0, 1/3, 2/3, 0, 0, 2/3}, 
   {1/3, 1, 0, 1/3, 0, 1/3, 0, 2/3, 0}, {1, 1, 0, 0, 1/3, 0, 0, 0, 2/3}, 
   {0, 0, 1, 1, 0, 1/3, 0, 2/3, 0}, {0, 0, 1, 1/3, 0, 1/3, 2/3, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 2/3, 0, 0, 0, 2/3, 0, 1/3}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0, 1/3}, {0, 1/3, 0, 1/3, 0, 0, 2/3, 2/3, 0}, 
   {1/3, 0, 1/3, 0, 1/3, 1, 0, 2/3, 0}, {2/3, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/3, 0, 1/3, 0, 2/3, 1/3, 1/3, 0}, {1/3, 0, 1, 1, 0, 0, 0, 0, 1/3}, 
   {0, 1/3, 0, 0, 1/3, 1, 2/3, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1}, {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 1}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1}, {0, 1, 0, 1, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/3, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1/3, 0, 1, 0, 0, 2/3}, {2/3, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 2/3}, {1/3, 0, 1, 1/3, 0, 1, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/11, 8/11, 3/11, 0, 2/11, 4/11, 3/11, 1/11, 0}, 
   {0, 1, 0, 0, 6/11, 6/11, 0, 0, 1/11}, {5/11, 0, 7/11, 8/11, 0, 0, 7/11, 1, 
    0}, {1/11, 0, 5/11, 0, 4/11, 0, 0, 0, 3/11}, 
   {0, 3/11, 0, 0, 6/11, 0, 1/11, 5/11, 0}, {3/11, 0, 5/11, 0, 0, 0, 0, 0, 
    7/11}, {4/11, 0, 0, 6/11, 0, 0, 4/11, 0, 8/11}, 
   {10/11, 0, 10/11, 0, 4/11, 8/11, 0, 2/11, 0}, {2/11, 4/11, 0, 10/11, 0, 
    4/11, 0, 2/11, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 1, 0, 0}, {2/3, 1, 0, 0, 1, 0, 0, 2/3, 0}, 
   {0, 0, 1, 2/3, 1, 0, 1/3, 0, 0}, {0, 0, 1/3, 0, 1/3, 0, 1/3, 0, 2/3}, 
   {1/3, 0, 0, 0, 0, 2/3, 0, 1/3, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1/3}, 
   {1/3, 1/3, 0, 2/3, 2/3, 0, 1/3, 0, 0}, {0, 0, 0, 1, 0, 1/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1, 0}, {1, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1/2, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 1, 1/3, 0, 2/3, 0, 1}, {0, 0, 2/3, 0, 0, 1/3, 1, 1/3, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 1/3, 0, 0, 1}, {2/3, 2/3, 0, 0, 0, 1, 0, 0, 1/3}, 
   {2/3, 2/3, 0, 1/3, 1/3, 0, 1/3, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1, 1/2, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/3, 0, 1, 0, 0, 2/3, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 1/3, 1, 0, 1/3, 2/3, 0, 0}, {0, 1/3, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/3, 0, 0, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/3, 1, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 1/3, 1/3, 2/3, 0, 0, 1/3, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 1/3, 1/3, 0}, {1/3, 0, 2/3, 0, 0, 2/3, 1/3, 0, 0}, 
   {0, 0, 0, 1/3, 1/3, 0, 0, 1/3, 2/3}, {0, 1/3, 1/3, 0, 0, 2/3, 1/3, 0, 
    2/3}, {0, 0, 2/3, 1/3, 0, 1, 0, 0, 1/3}, {1/3, 1/3, 0, 1/3, 1/3, 0, 2/3, 
    0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, {0, 0, 0, 1, 1/2, 0, 1, 1, 0}, 
   {1/2, 1, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1, 1/2}, {0, 0, 1/2, 1, 0, 1, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1, 1/2, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1, 1/2, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1, 1}, {0, 0, 0, 0, 1, 1/2, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {1, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1/2, 1, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, {1, 0, 0, 1/2, 1, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 3/5, 0, 4/5, 0, 0}, 
   {3/5, 0, 1/5, 0, 1, 0, 0, 0}, {1/5, 0, 0, 3/5, 0, 0, 2/5, 4/5}, 
   {0, 1, 1/5, 0, 1, 0, 2/5, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {2/5, 0, 4/5, 0, 0, 2/5, 0, 0}, {0, 4/5, 0, 2/5, 0, 0, 2/5, 4/5}, 
   {0, 0, 4/5, 2/5, 0, 0, 2/5, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1, 0, 1}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1, 0, 1, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 2/3, 1/3, 1/3, 0, 2/3, 1/3}, 
   {0, 2/3, 1, 0, 0, 1/3, 1/3, 0}, {0, 0, 0, 1/3, 1, 1, 1, 0}, 
   {2/3, 0, 1, 0, 0, 2/3, 0, 1/3}, {0, 2/3, 1/3, 0, 2/3, 0, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 7/9, 0, 4/9, 1/9, 2/9, 2/9, 0}, 
   {0, 5/9, 5/9, 4/9, 0, 1/9, 0, 0, 4/9}, {1/9, 0, 0, 1/3, 1/3, 0, 2/9, 2/3, 
    0}, {1/3, 0, 0, 0, 2/9, 1/9, 0, 2/9, 2/3}, {0, 1/9, 1/9, 1, 5/9, 0, 0, 
    2/3, 0}, {5/9, 0, 0, 0, 0, 1/3, 0, 0, 2/3}, {0, 0, 0, 0, 0, 8/9, 4/9, 
    4/9, 0}, {0, 0, 0, 4/9, 4/9, 8/9, 0, 0, 0}, {2/9, 4/9, 0, 0, 4/9, 0, 2/3, 
    0, 8/9}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 1, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {1, 1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 1, 1/2, 1/2, 0, 1, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 1/2, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 0, 1, 2/3, 0, 1/3, 1, 0}, 
   {0, 0, 0, 1/3, 1, 2/3, 0, 1}, {2/3, 0, 2/3, 1/3, 1/3, 0, 2/3, 1/3}, 
   {0, 2/3, 1/3, 0, 0, 0, 0, 1/3}, {0, 0, 1/3, 2/3, 0, 0, 0, 1}, 
   {0, 0, 0, 1/3, 1, 1/3, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 3/5, 3/5, 0, 0, 0, 0}, 
   {0, 0, 0, 3/5, 0, 0, 3/5, 0, 3/5}, {0, 0, 3/5, 0, 0, 0, 0, 0, 3/5}, 
   {0, 4/5, 1, 0, 0, 0, 1, 0, 1/5}, {1, 0, 1/5, 0, 0, 0, 0, 4/5, 1}, 
   {4/5, 2/5, 0, 0, 0, 3/5, 1/5, 2/5, 0}, {4/5, 0, 2/5, 0, 0, 0, 1, 1/5, 0}, 
   {1, 1/5, 0, 0, 3/5, 0, 4/5, 0, 2/5}, {0, 1, 1/5, 0, 0, 3/5, 0, 1, 1/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 2/3, 0, 0, 1/3, 0, 0}, {1/3, 1, 0, 0, 1/3, 0, 0, 0, 1}, 
   {2/3, 0, 1, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 2/3, 2/3}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 1, 0}, {1/3, 1, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 1/3, 0, 2/3, 0, 0, 1/3, 1}, {0, 2/3, 0, 0, 1/3, 0, 1/3, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1, 0, 0, 1, 0}, {1/2, 1/2, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 0, 1/3, 1/3}, {0, 1/3, 0, 1/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 1/3, 0, 1/3, 1/3, 0, 1/3, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 2/3, 0, 0, 1, 1}, {1/3, 2/3, 0, 0, 1, 1, 1, 0, 2/3}, 
   {1/3, 0, 2/3, 0, 1, 2/3, 0, 0, 0}, {1, 2/3, 0, 2/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 1/2, 1/2, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, {1/2, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1, 0, 1/2}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1/2, 1, 0, 0, 1, 0, 1}, 
   {1/2, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1, 1}, {0, 1/2, 1/2, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1/2, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 1, 1/2, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {1/2, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 1, 0, 0, 2/3}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1/3, 0, 0, 2/3, 2/3, 0}, {0, 1/3, 0, 1/3, 1, 0, 2/3, 0}, 
   {1, 0, 1, 2/3, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, {1, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 1}, {1/2, 1/2, 0, 0, 1, 1, 1/2, 0, 0}, 
   {0, 1, 1/2, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/4, 1/2, 0, 0, 0, 0, 0, 1/4, 3/4}, 
   {0, 0, 0, 3/4, 0, 0, 1/4, 0, 0}, {1/4, 0, 0, 3/4, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1/4, 1/4, 0, 1/4}, {0, 1/4, 0, 0, 0, 1, 3/4, 1, 0}, 
   {1/4, 0, 1, 0, 1, 0, 0, 0, 1/4}, {0, 0, 1/4, 1/2, 0, 1, 0, 0, 1}, 
   {1/4, 0, 1/4, 0, 3/4, 3/4, 1/2, 1/4, 0}, {1/2, 1, 0, 1/4, 1, 0, 0, 1/4, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 2/3, 1/3, 1/3, 0}, 
   {0, 1, 0, 1/3, 1/3, 0, 1/3, 0, 2/3}, {0, 1/3, 2/3, 1/3, 0, 2/3, 0, 1/3, 
    0}, {0, 0, 1/3, 1/3, 2/3, 0, 0, 2/3, 0}, {2/3, 1/3, 0, 0, 0, 1/3, 0, 0, 
    2/3}, {2/3, 0, 0, 0, 1/3, 0, 1/3, 0, 2/3}, {2/3, 0, 1, 0, 1/3, 0, 0, 0, 
    0}, {0, 0, 2/3, 0, 0, 1/3, 1/3, 0, 2/3}, {1/3, 0, 0, 1/3, 0, 0, 1/3, 1, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1/2, 1, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{7/11, 0, 0, 0, 5/11, 0, 4/11, 0}, 
   {0, 1/11, 3/11, 1, 0, 0, 0, 4/11}, {0, 6/11, 4/11, 4/11, 0, 0, 0, 0}, 
   {0, 0, 2/11, 0, 0, 4/11, 0, 10/11}, {2/11, 0, 0, 0, 0, 6/11, 0, 10/11}, 
   {0, 1/11, 0, 2/11, 7/11, 4/11, 6/11, 0}, {0, 7/11, 6/11, 0, 1, 0, 0, 0}, 
   {7/11, 0, 1/11, 1/11, 0, 6/11, 10/11, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 1, 1, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 1, 0}, {1, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 1, 1/2, 1, 0, 0, 1/2, 0}, {1, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/15, 1/15, 0, 2/3, 2/15, 1/3, 0, 13/15}, {13/15, 0, 2/5, 0, 8/15, 0, 
    0, 1/15, 0}, {1/3, 2/15, 0, 8/15, 0, 2/15, 14/15, 1/3, 0}, 
   {1/15, 0, 3/5, 0, 8/15, 2/5, 1/15, 0, 0}, {0, 1/5, 0, 0, 4/15, 4/15, 0, 
    1/15, 3/5}, {0, 7/15, 0, 0, 0, 0, 0, 1/3, 13/15}, 
   {0, 0, 1/3, 14/15, 0, 8/15, 0, 0, 1/3}, {0, 4/15, 1/15, 2/3, 0, 8/15, 0, 
    4/15, 1/15}, {1/15, 1, 0, 0, 2/15, 0, 3/5, 13/15, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 1, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, {2/3, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 2/3, 0}, {2/3, 0, 1, 1/3, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1/3, 1/3, 0, 0, 0, 2/3}, {1/3, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/3, 1, 0, 1, 1/3, 0, 2/3, 0, 0}, {2/3, 0, 1, 0, 0, 1, 2/3, 0, 0}, 
   {0, 0, 1, 0, 2/3, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 1, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 1, 0, 0, 1, 1}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{3/4, 1/4, 0, 1/4, 3/4, 0, 1/4, 0, 1/4}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 1/4, 0, 3/4, 0, 1/4, 1, 0}, 
   {1/2, 1/2, 0, 1/4, 0, 0, 0, 1/4, 0}, {3/4, 0, 0, 0, 1/2, 1/4, 0, 1/4, 
    1/2}, {0, 1/2, 1/4, 0, 0, 0, 3/4, 0, 0}, {0, 1, 1/2, 0, 0, 1/4, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 3/4, 1/2, 0, 0}, {1, 0, 3/4, 0, 0, 0, 1, 1/4, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/5, 0, 2/5, 4/5, 1/5, 3/5, 0}, 
   {1/5, 1, 0, 0, 0, 0, 0, 0, 1/5}, {0, 0, 1/5, 0, 2/5, 0, 1, 1, 0}, 
   {2/5, 0, 2/5, 2/5, 2/5, 0, 0, 0, 0}, {2/5, 0, 2/5, 2/5, 0, 0, 2/5, 0, 0}, 
   {0, 0, 0, 0, 2/5, 2/5, 4/5, 0, 4/5}, {2/5, 0, 3/5, 2/5, 0, 0, 0, 0, 1}, 
   {0, 2/5, 1/5, 0, 0, 2/5, 0, 4/5, 1/5}, {1/5, 3/5, 0, 0, 2/5, 2/5, 1/5, 1, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 1, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 1, 2/3, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 1/3, 1/3, 0, 1/3, 0, 1/3}, {0, 0, 2/3, 2/3, 0, 1/3, 1/3, 0, 
    0}, {0, 1/3, 0, 0, 0, 2/3, 0, 1/3, 1}, {0, 0, 1, 2/3, 0, 0, 1/3, 1/3, 0}, 
   {0, 2/3, 1, 0, 0, 0, 0, 1/3, 1}, {1/3, 1, 0, 0, 2/3, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 1, 2/3, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{4/5, 0, 1, 0, 3/5, 1/5, 0, 0, 0}, {1/5, 1/5, 0, 3/5, 0, 0, 0, 0, 4/5}, 
   {1/5, 1, 0, 0, 3/5, 3/5, 0, 0, 0}, {0, 0, 1/5, 1, 0, 0, 2/5, 2/5, 0}, 
   {1/5, 1, 0, 0, 1/5, 1/5, 2/5, 0, 0}, {0, 0, 2/5, 0, 2/5, 2/5, 0, 0, 2/5}, 
   {0, 0, 2/5, 0, 2/5, 4/5, 0, 0, 0}, {0, 4/5, 0, 0, 0, 0, 2/5, 4/5, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/5, 1/5, 1/5, 0, 0, 0, 0, 3/5, 2/5}, 
   {0, 0, 1/5, 1/5, 0, 3/5, 0, 4/5, 0}, {3/5, 4/5, 0, 1/5, 4/5, 0, 1/5, 0, 
    0}, {0, 0, 0, 2/5, 1, 0, 0, 2/5, 0}, {1/5, 0, 0, 2/5, 4/5, 0, 0, 1/5, 0}, 
   {0, 0, 0, 1/5, 0, 2/5, 1, 0, 1}, {0, 0, 0, 3/5, 1/5, 4/5, 0, 0, 1/5}, 
   {0, 1/5, 0, 2/5, 0, 1, 0, 1/5, 0}, {0, 0, 4/5, 0, 1/5, 0, 4/5, 0, 2/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 0, 1/2, 0, 1, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 1/2, 0, 1, 1, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1, 1, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 0, 1/3, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 2/3, 1/3, 1/3, 1/3, 0, 0, 1/3, 0}, {1/3, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1/3, 0}, {1/3, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {2/3, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1/2, 1, 0, 1/2}, {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{4/9, 0, 0, 0, 2/9, 7/9, 1/3, 0, 7/9}, 
   {1/3, 5/9, 1/3, 0, 0, 1/9, 0, 1/9, 4/9}, {0, 0, 0, 7/9, 1/3, 0, 4/9, 7/9, 
    0}, {0, 2/9, 4/9, 0, 0, 1/9, 0, 5/9, 4/9}, {0, 2/9, 0, 0, 4/9, 1, 0, 1, 
    0}, {0, 0, 0, 1, 7/9, 0, 5/9, 0, 1}, {4/9, 0, 2/9, 2/9, 0, 2/9, 2/9, 0, 
    0}, {4/9, 2/9, 0, 2/3, 2/9, 0, 0, 4/9, 0}, {0, 2/9, 0, 0, 0, 4/9, 2/3, 0, 
    2/9}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/4, 3/4, 1/4, 0, 0}, {1/4, 3/4, 0, 1, 0, 0, 0, 1/4, 0}, 
   {1/4, 0, 1/4, 0, 0, 0, 0, 0, 3/4}, {3/4, 1/4, 0, 0, 1, 0, 1, 3/4, 0}, 
   {1/4, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 3/4, 0, 1/4, 1/2, 0, 1/4, 1/4}, 
   {3/4, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 3/4, 1/4, 0, 1, 1, 0}, 
   {1/2, 1, 0, 1/4, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1, 0, 1, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 1/3, 0, 1/3, 1, 0, 0, 1/3}, 
   {1, 0, 1/3, 0, 0, 0, 0, 1}, {0, 1, 1/3, 0, 0, 1, 1, 0}, 
   {1, 0, 1/3, 0, 0, 1, 1, 0}, {1/3, 0, 1/3, 0, 2/3, 1/3, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1}, {1, 1, 0, 0, 1, 0, 1, 1/2, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/3, 1, 1/3, 0, 0, 2/3, 0}, {2/3, 2/3, 0, 0, 2/3, 0, 0, 1/3, 1/3}, 
   {1, 0, 1/3, 1, 0, 1, 1/3, 0, 0}, {2/3, 0, 2/3, 0, 1, 0, 1/3, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 1, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {1/3, 0, 1, 0, 1/3, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 1/3, 2/3, 0, 0}, 
   {1/3, 0, 0, 2/3, 0, 0, 1/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/5, 0, 0, 0, 1/5, 2/5, 0, 4/5}, {1, 0, 0, 0, 4/5, 0, 0, 1/5, 0}, 
   {0, 0, 0, 1/5, 0, 1/5, 3/5, 0, 4/5}, {0, 4/5, 0, 0, 1/5, 0, 3/5, 0, 1}, 
   {3/5, 0, 1/5, 3/5, 0, 4/5, 0, 1, 0}, {0, 4/5, 1, 1/5, 1/5, 0, 2/5, 0, 0}, 
   {0, 1/5, 0, 1/5, 0, 0, 2/5, 4/5, 0}, {1, 0, 1, 0, 0, 0, 2/5, 0, 2/5}, 
   {0, 2/5, 2/5, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 2/3, 1/3, 2/3, 0, 0, 0, 0}, {0, 2/3, 2/3, 1/3, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 0, 1/3, 0, 1, 1}, {1/3, 0, 1/3, 1/3, 1/3, 0, 1/3, 0, 0}, 
   {0, 0, 2/3, 2/3, 2/3, 0, 0, 1/3, 0}, {2/3, 0, 0, 0, 0, 1/3, 1, 0, 0}, 
   {0, 0, 0, 1/3, 0, 2/3, 1/3, 0, 1/3}, {0, 1/3, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 2/3, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 1, 1/2, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 2/3, 0, 0, 1/3, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 1, 2/3, 2/3, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1/3, 1/3, 0, 1}, 
   {1/3, 0, 1, 0, 0, 2/3, 0, 0, 1/3}, {0, 0, 2/3, 1/3, 1/3, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1/3, 0, 0, 2/3, 1/3, 2/3, 0}, 
   {2/3, 1, 0, 0, 0, 0, 0, 0, 1/3}, {2/3, 0, 0, 1/3, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 0, 1, 0, 1, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1/2, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 0, 1, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 1, 0, 1, 0, 0, 1/2}, 
   {0, 1, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 1, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 1, 1/2, 0, 1/2}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1/2, 1/2, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {2/3, 0, 1, 1/3, 2/3, 0, 0, 0, 1/3}, {1/3, 0, 1/3, 0, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 2/3, 1/3, 0, 0, 0, 0}, {0, 0, 0, 0, 1/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 2/3, 1/3, 0, 1, 0, 1/3, 0}, {0, 2/3, 1/3, 0, 1/3, 1/3, 0, 0, 
    2/3}, {1/3, 1, 0, 1/3, 0, 0, 2/3, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 1, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {1, 1, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, 
   {0, 0, 2/3, 1/3, 1/3, 0, 0, 0, 1/3}, {0, 0, 0, 1/3, 1, 0, 0, 0, 1}, 
   {0, 2/3, 0, 0, 0, 1, 1/3, 1, 0}, {2/3, 0, 2/3, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 2/3, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1, 0, 1/3, 1/3, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 2/3, 0, 1}, {0, 0, 1/3, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1/3, 1, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 2/3, 2/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1/2, 1, 1, 0}, 
   {1, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 1, 1/2, 0, 1, 1/2}, 
   {1/2, 1, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 2/5, 0, 0, 3/5, 0}, {0, 1, 0, 0, 2/5, 3/5, 0, 3/5}, 
   {0, 0, 4/5, 4/5, 0, 0, 0, 0}, {4/5, 0, 0, 0, 0, 0, 0, 2/5}, 
   {0, 0, 2/5, 0, 0, 0, 4/5, 0}, {1/5, 2/5, 0, 0, 2/5, 3/5, 0, 1/5}, 
   {0, 1, 0, 2/5, 0, 0, 3/5, 0}, {1/5, 0, 2/5, 0, 2/5, 3/5, 0, 3/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0}, {0, 1/2, 1, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 1/3, 0, 0, 2/3, 0}, {2/3, 1/3, 0, 1, 0, 1/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 0, 0, 2/3, 1/3, 1/3, 0, 0}, 
   {1/3, 2/3, 0, 0, 0, 0, 1/3, 2/3, 0}, {0, 1/3, 0, 0, 1/3, 1/3, 1/3, 0, 
    2/3}, {0, 1/3, 1/3, 1/3, 1/3, 0, 0, 0, 1/3}, {0, 0, 1, 1, 0, 2/3, 0, 2/3, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 1, 1/2, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{4/5, 0, 2/5, 1/5, 0, 2/5, 0, 0}, {0, 4/5, 0, 1/5, 4/5, 0, 0, 0}, 
   {4/5, 0, 0, 0, 1/5, 1/5, 0, 3/5}, {0, 0, 1, 3/5, 0, 0, 1/5, 0}, 
   {0, 0, 0, 1/5, 1, 0, 3/5, 0}, {0, 2/5, 0, 1/5, 1/5, 0, 1/5, 2/5}, 
   {0, 4/5, 1/5, 0, 0, 1/5, 0, 1/5}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 6/7, 0, 0, 0, 0, 6/7, 0}, {0, 0, 2/7, 0, 6/7, 0, 0, 6/7}, 
   {0, 1/7, 0, 0, 3/7, 4/7, 2/7, 0}, {1/7, 0, 1/7, 3/7, 0, 6/7, 0, 0}, 
   {1, 0, 3/7, 5/7, 0, 0, 0, 0}, {0, 1/7, 3/7, 5/7, 0, 0, 0, 6/7}, 
   {1/7, 0, 1/7, 1/7, 0, 1/7, 3/7, 5/7}, {1, 0, 0, 0, 1/7, 2/7, 4/7, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/3, 0, 1, 0, 0, 0, 0, 1/3, 1}, 
   {0, 1/3, 2/3, 1/3, 0, 0, 0, 0, 2/3}, {0, 1, 0, 1, 2/3, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 0, 2/3, 2/3, 0}, {1/3, 2/3, 0, 0, 1/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 1/3, 2/3, 1/3, 0}, {2/3, 0, 1, 1/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/3, 1/3, 0}, {1/3, 1/3, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {1, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/5, 0, 0, 0, 2/5, 4/5, 3/5, 0}, 
   {0, 1, 0, 0, 0, 2/5, 0, 3/5, 0}, {1/5, 0, 1, 0, 4/5, 0, 1/5, 0, 1/5}, 
   {0, 4/5, 0, 0, 2/5, 0, 0, 4/5, 4/5}, {4/5, 4/5, 0, 0, 2/5, 0, 0, 0, 0}, 
   {2/5, 0, 2/5, 0, 0, 4/5, 0, 0, 4/5}, {3/5, 0, 3/5, 4/5, 0, 0, 0, 1/5, 0}, 
   {0, 3/5, 0, 2/5, 0, 0, 3/5, 0, 3/5}, {1/5, 0, 1, 0, 0, 0, 4/5, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 1, 0, 0, 0, 1}, 
   {2/3, 0, 1/3, 0, 1, 1/3, 1, 0}, {0, 2/3, 1/3, 0, 1/3, 0, 2/3, 1/3}, 
   {0, 0, 1/3, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1/3, 1, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, {0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 1, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1/2, 1, 1}, 
   {1, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 1, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, {1/2, 1, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 1, 1, 0, 0}, {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 1, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1/2, 1, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 2/3, 0, 1/3, 1/3, 0, 2/3, 0}, {0, 0, 0, 1, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 2/3, 0, 0, 1/3, 0, 0}, {0, 0, 0, 0, 1, 0, 2/3, 0, 1}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 1, 1/3}, {2/3, 1/3, 0, 0, 0, 1, 0, 1, 0}, 
   {1/3, 0, 1/3, 0, 0, 1, 1/3, 0, 2/3}, {0, 0, 0, 1/3, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1/3, 0, 1, 2/3, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 0, 0, 0, 3/5, 0, 0, 2/5}, {1/5, 0, 1/5, 1, 1, 0, 2/5, 0, 0}, 
   {2/5, 1, 0, 0, 0, 1/5, 0, 0, 0}, {0, 1/5, 2/5, 1/5, 3/5, 4/5, 0, 0, 0}, 
   {3/5, 0, 1, 0, 0, 1, 2/5, 2/5, 0}, {0, 1, 0, 1/5, 3/5, 0, 0, 0, 4/5}, 
   {2/5, 0, 4/5, 2/5, 0, 0, 0, 2/5, 0}, {4/5, 0, 4/5, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/5, 0, 0, 4/5, 4/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 1/3, 0, 2/3, 1/3}, 
   {1/3, 1, 0, 0, 1/3, 0, 0, 0, 0}, {0, 0, 0, 1/3, 0, 0, 0, 2/3, 1}, 
   {0, 0, 0, 1/3, 0, 2/3, 2/3, 1/3, 1/3}, {0, 0, 1, 2/3, 0, 0, 1/3, 2/3, 0}, 
   {1, 0, 0, 0, 1/3, 1/3, 0, 0, 2/3}, {0, 0, 1, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 1, 0, 2/3, 2/3, 0, 0, 0}, {2/3, 0, 0, 1/3, 1/3, 0, 2/3, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 0, 0, 0, 1, 0, 2/3, 0}, 
   {0, 0, 1, 1, 1/3, 0, 0, 0, 0}, {0, 2/3, 1/3, 0, 0, 1, 0, 0, 2/3}, 
   {2/3, 0, 1, 0, 2/3, 1/3, 0, 0, 0}, {1, 1/3, 0, 1/3, 1/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1, 0, 1/2, 0}, {1, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, {1, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 2/3, 0, 0, 2/3, 1, 0, 0, 1/3}, {0, 2/3, 1/3, 1/3, 0, 1/3, 1/3, 0, 
    0}, {1/3, 0, 1/3, 0, 0, 0, 2/3, 1, 0}, {0, 0, 2/3, 0, 1/3, 1/3, 0, 1/3, 
    1/3}, {0, 1/3, 0, 2/3, 1/3, 0, 0, 1/3, 0}, {1/3, 0, 1, 0, 1/3, 0, 1/3, 0, 
    1/3}, {1/3, 0, 0, 1/3, 0, 0, 0, 0, 2/3}, {1/3, 2/3, 0, 0, 1/3, 2/3, 1/3, 
    0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 1/3, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 1/3, 1/3, 0, 1/3, 2/3}, {0, 0, 0, 1, 0, 1/3, 2/3, 1/3, 
    0}, {2/3, 0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, {0, 1, 0, 0, 1, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1/3, 2/3, 0, 1/3, 0, 1/3, 0, 0, 1}, 
   {1/3, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 2/3, 1/3, 2/3, 0}, 
   {0, 0, 0, 1/3, 1/3, 0, 0, 1/3, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1/2, 1/6, 0, 1/2, 2/3, 1/3, 1/2, 0}, 
   {2/3, 0, 1, 1, 0, 0, 0, 0, 1/3}, {1, 1/3, 0, 0, 1/6, 0, 5/6, 2/3, 0}, 
   {0, 2/3, 1/6, 1/6, 1/6, 0, 1/6, 0, 0}, {1/3, 5/6, 0, 1/2, 0, 0, 0, 0, 
    1/6}, {0, 0, 1/3, 0, 5/6, 2/3, 1/3, 0, 0}, {0, 0, 5/6, 2/3, 0, 0, 1/6, 
    1/3, 0}, {1/6, 0, 0, 0, 1/6, 1/3, 0, 0, 2/3}, 
   {0, 1/6, 0, 0, 0, 1/6, 0, 1/6, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 1, 1/2}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 3/5, 3/5, 0, 1, 2/5, 0, 0}, {3/5, 0, 0, 0, 3/5, 2/5, 4/5, 0, 4/5}, 
   {1, 2/5, 0, 2/5, 3/5, 0, 0, 0, 0}, {2/5, 1/5, 1/5, 0, 1/5, 4/5, 0, 2/5, 
    0}, {0, 3/5, 1, 0, 1, 0, 0, 0, 2/5}, {3/5, 0, 0, 1/5, 0, 3/5, 2/5, 2/5, 
    0}, {0, 0, 0, 2/5, 0, 0, 0, 0, 2/5}, {0, 0, 2/5, 0, 2/5, 0, 0, 2/5, 0}, 
   {2/5, 0, 2/5, 0, 0, 0, 0, 2/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 1, 0, 1/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/3, 2/3, 0, 1/3, 0}, 
   {1/3, 1/3, 2/3, 0, 0, 1/3, 0, 0, 1/3}, {0, 0, 1, 2/3, 0, 0, 1/3, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 0, 1, 1}, {1/3, 1/3, 0, 0, 1/3, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1/3, 1, 0, 0, 1/3}, {1/3, 0, 1, 2/3, 1/3, 0, 0, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1, 1}, {0, 1/2, 0, 0, 1, 0, 1, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1/2, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 0, 1, 1/2, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 1, 1, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 2/3, 0, 1/3, 0}, 
   {1/3, 1, 0, 0, 2/3, 0, 1/3, 0, 1}, {0, 0, 1, 0, 2/3, 0, 1/3, 0, 1}, 
   {1, 1, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 2/3, 1/3, 0, 0, 2/3, 1, 0, 1}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, {0, 1, 1, 1/2, 0, 0, 0, 0, 1}, 
   {1, 1/2, 0, 1/2, 0, 0, 1, 1, 0}, {0, 0, 0, 1/2, 1, 1, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1/3, 1/3, 1/3, 1/3, 0, 2/3, 1/3}, 
   {2/3, 0, 1, 0, 0, 2/3, 1/3, 1/3, 0}, {1, 1, 0, 2/3, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 1/3, 0, 2/3, 2/3, 0, 0, 1/3}, 
   {1/3, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 2/3, 0, 0, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1, 1/2, 0, 0, 1/2, 0, 1, 1/2}, 
   {1, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1, 1}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 1/2, 0, 1, 0, 1, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 1, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1/2, 0, 1, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1, 1, 0}, {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1, 0, 1, 0}, {1/2, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/3, 1/3, 0, 0, 1, 1, 2/3, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, 
   {1, 1/3, 0, 1/3, 2/3, 0, 2/3, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 1/3, 1/3, 1/3, 2/3, 0, 0, 2/3}, {1, 0, 0, 0, 1, 2/3, 2/3, 0}, 
   {0, 1, 1/3, 1, 0, 0, 2/3, 0}, {1/3, 0, 1/3, 1/3, 0, 2/3, 0, 2/3}, 
   {0, 1, 0, 0, 1, 2/3, 2/3, 0}, {1, 0, 1/3, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 1/2}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 1/2, 1, 0, 0, 1, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, {1/3, 0, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {1/3, 2/3, 0, 0, 1/3, 0, 0, 0, 1/3}, {0, 0, 2/3, 0, 0, 0, 0, 1/3, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 1/3, 1/3}, {0, 1/3, 0, 1/3, 0, 2/3, 0, 0, 1/3}, 
   {0, 0, 0, 2/3, 2/3, 1/3, 1/3, 0, 1/3}, {1/3, 2/3, 0, 2/3, 2/3, 0, 1/3, 
    1/3, 0}, {1/3, 0, 2/3, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {1, 1, 0, 1/2, 1, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {1, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 1}, {0, 0, 1, 0, 1, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1, 1, 0, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1}, 
   {0, 0, 1, 1, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 1, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 2/5, 0, 0, 0, 2/5, 4/5, 0}, 
   {0, 0, 2/5, 4/5, 0, 2/5, 2/5, 0, 0}, {4/5, 2/5, 0, 0, 0, 0, 0, 0, 2/5}, 
   {4/5, 0, 2/5, 1/5, 0, 2/5, 3/5, 1/5, 0}, {0, 0, 4/5, 0, 1/5, 3/5, 0, 0, 
    1}, {2/5, 0, 0, 3/5, 0, 0, 1, 3/5, 0}, {0, 0, 2/5, 3/5, 4/5, 0, 0, 0, 
    3/5}, {2/5, 2/5, 0, 1/5, 0, 0, 0, 2/5, 3/5}, 
   {0, 2/5, 0, 0, 3/5, 3/5, 3/5, 1/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1/2, 1, 1, 0, 0, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1/2, 0, 1, 1, 0, 0, 0, 1}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, {1, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1, 1, 0, 1/2, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1, 0, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 0, 2/3}, {0, 1, 0, 1/3, 1, 2/3, 2/3, 0}, 
   {1, 0, 1, 2/3, 0, 0, 0, 0}, {0, 1/3, 1/3, 0, 2/3, 0, 0, 2/3}, 
   {1, 0, 0, 1/3, 1, 0, 2/3, 0}, {0, 1, 1, 0, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/3, 1/3, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 2/3, 0, 0, 1/3, 0}, {0, 0, 2/3, 1, 1, 0, 0, 2/3, 1/3}, 
   {2/3, 2/3, 1/3, 0, 0, 0, 1/3, 0, 2/3}, {0, 0, 0, 0, 1/3, 1, 1, 2/3, 0}, 
   {0, 0, 1/3, 0, 0, 1, 0, 1/3, 1}, {1/3, 2/3, 0, 1, 0, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 1/3, 1/3, 0, 0, 2/3, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 1/5, 1/3, 0, 0, 1/5, 0, 2/15, 2/15}, {0, 1/3, 7/15, 0, 0, 11/15, 
    2/3, 4/5, 0}, {1, 0, 0, 1/3, 1/5, 0, 0, 0, 8/15}, 
   {0, 2/3, 2/3, 0, 2/15, 0, 2/15, 0, 8/15}, {2/15, 0, 0, 0, 0, 2/3, 0, 4/5, 
    2/5}, {4/15, 2/15, 0, 4/15, 4/15, 0, 8/15, 8/15, 0}, 
   {0, 1/3, 7/15, 7/15, 7/15, 0, 0, 0, 0}, {0, 3/5, 7/15, 1/5, 1/3, 0, 0, 0, 
    4/15}, {1/5, 0, 0, 0, 0, 7/15, 4/5, 0, 4/15}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/5, 0, 1/5, 3/5, 0, 1/5, 1, 0}, 
   {0, 2/5, 0, 0, 3/5, 0, 0, 1}, {0, 2/5, 0, 0, 3/5, 1, 1, 0}, 
   {0, 0, 3/5, 1, 0, 0, 2/5, 1}, {4/5, 0, 1/5, 3/5, 0, 0, 0, 1}, 
   {0, 0, 2/5, 0, 0, 4/5, 0, 0}, {0, 0, 2/5, 0, 4/5, 0, 0, 0}, 
   {0, 2/5, 0, 0, 0, 2/5, 0, 2/5}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 1/2, 0, 1, 1/2, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 1, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 1/2, 0, 1/2}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 1, 0, 1/3}, 
   {0, 1/2, 0, 0, 1, 1/6, 0, 1, 1/3}, {0, 0, 1/6, 1/3, 1/3, 0, 2/3, 1/2, 0}, 
   {0, 0, 0, 1/6, 0, 1/2, 0, 1, 1/2}, {5/6, 0, 0, 0, 1/2, 1/6, 1/6, 0, 2/3}, 
   {1/2, 0, 0, 1/6, 1/3, 0, 0, 1/6, 5/6}, {0, 0, 1/2, 5/6, 0, 1/3, 0, 0, 
    1/6}, {1/6, 1/2, 0, 0, 0, 1/6, 5/6, 0, 0}, {0, 1/6, 0, 0, 1/6, 0, 5/6, 
    1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1/3, 0, 1, 1/3, 1, 0}, 
   {2/3, 0, 0, 0, 1/3, 0, 0, 0, 1}, {0, 0, 2/3, 0, 1, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 2/3, 1, 0, 1/3, 1/3, 0}, {0, 0, 0, 1/3, 0, 1/3, 2/3, 0, 1}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1/2, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/4, 0, 0, 1/2, 0, 1/4, 1/4, 0, 0}, 
   {0, 3/4, 0, 0, 1/4, 1/2, 0, 3/4, 0}, {1/4, 1/2, 0, 0, 0, 1/4, 3/4, 0, 1}, 
   {0, 0, 1, 1, 0, 1/4, 0, 1/4, 0}, {1, 1/4, 0, 0, 3/4, 0, 0, 1/4, 1/4}, 
   {0, 1/4, 1/2, 0, 1/2, 0, 1/2, 0, 1/4}, {3/4, 1, 0, 1, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1, 0, 3/4, 1/4, 0, 0, 1/4}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 4/5, 1, 1/5, 0, 0}, {3/5, 1, 0, 0, 0, 0, 0, 4/5, 1}, 
   {0, 2/5, 3/5, 0, 2/5, 0, 1/5, 1/5, 2/5}, {0, 0, 3/5, 2/5, 1/5, 1/5, 1/5, 
    0, 0}, {0, 1/5, 0, 1, 1/5, 0, 1, 0, 0}, {1/5, 0, 1, 0, 0, 2/5, 0, 1/5, 
    2/5}, {3/5, 4/5, 0, 0, 0, 1/5, 0, 0, 0}, {3/5, 0, 0, 4/5, 0, 0, 0, 1/5, 
    0}, {0, 0, 0, 3/5, 0, 3/5, 1/5, 1/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {2/3, 1/3, 0, 0, 0, 0, 1/3, 0}, {1, 0, 2/3, 0, 0, 1/3, 0, 1/3}, 
   {0, 1/3, 0, 2/3, 0, 2/3, 1, 0}, {1/3, 0, 2/3, 0, 2/3, 0, 1/3, 0}, 
   {0, 1/3, 0, 0, 2/3, 1/3, 0, 1}, {1, 0, 0, 0, 0, 2/3, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 0, 2/3, 1, 0, 0, 0}, 
   {0, 1/3, 0, 1/3, 1/3, 0, 2/3, 0, 0}, {0, 1, 2/3, 0, 0, 1/3, 0, 0, 0}, 
   {1/3, 0, 1/3, 1, 1/3, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3, 2/3}, {2/3, 0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 2/3, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1, 1, 0}, {1/2, 1/2, 0, 1, 0, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 2/3, 0, 1/3, 0, 1}, {0, 2/3, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 2/3, 2/3}, {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {1, 2/3, 0, 0, 0, 2/3, 0, 1, 0}, {0, 1/3, 1/3, 2/3, 0, 0, 1/3, 0, 1}, 
   {1, 0, 0, 2/3, 2/3, 0, 2/3, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 2/3, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 2/3, 1/3, 1/3, 1/3, 2/3}, 
   {2/3, 1/3, 0, 0, 1/3, 0, 1/3, 0, 1}, {1/3, 0, 1/3, 0, 0, 0, 0, 1/3, 1/3}, 
   {0, 0, 0, 2/3, 0, 0, 1/3, 0, 0}, {1/3, 0, 0, 1/3, 0, 1/3, 0, 0, 0}, 
   {2/3, 1/3, 0, 0, 1/3, 0, 1/3, 1, 0}, {0, 1/3, 2/3, 0, 0, 1/3, 2/3, 0, 1}, 
   {0, 0, 0, 1/3, 1, 0, 1/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 1/3, 0, 0, 1/3, 0, 0}, {1/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, 
   {1/3, 1/3, 0, 1/3, 2/3, 2/3, 0, 0, 0}, {1, 0, 0, 2/3, 1, 0, 1/3, 0, 2/3}, 
   {0, 1/3, 1/3, 0, 0, 1, 2/3, 1, 0}, {0, 1/3, 2/3, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 2/3, 1, 0, 0, 2/3, 0}, {0, 0, 1/3, 1/3, 0, 1/3, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/5, 0, 0, 0, 0, 0, 1/5, 0}, {0, 0, 1/5, 4/5, 0, 2/5, 1/5, 0, 3/5}, 
   {0, 0, 2/5, 0, 4/5, 2/5, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/5, 4/5, 0}, 
   {1/5, 3/5, 2/5, 0, 0, 0, 1/5, 0, 3/5}, {0, 4/5, 1, 0, 2/5, 0, 0, 1/5, 0}, 
   {1/5, 1/5, 0, 2/5, 0, 0, 3/5, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, {0, 0, 1, 0, 1/2, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 1, 1, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1, 0}, {1/2, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 1/2, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1/2, 1, 0, 0, 1/2, 1/2, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1, 0, 0, 0, 2/3, 1/3, 0}, 
   {0, 2/3, 0, 1/3, 0, 1/3, 1/3, 0, 1}, {0, 0, 1, 2/3, 2/3, 0, 0, 1/3, 0}, 
   {1, 0, 0, 1/3, 0, 1, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 1/3, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1/3, 0, 0}, {0, 1/3, 0, 0, 0, 0, 2/3, 1, 0}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 1/2, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1/2, 0, 1, 0, 1, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 1, 1/2, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 1/2, 0, 0, 1, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 1, 1/2, 0, 1}, 
   {0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 1/2, 1, 0}, {0, 0, 1, 1/2, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/5, 0, 4/5, 2/5, 0, 0, 0, 2/5}, 
   {0, 0, 2/5, 0, 0, 0, 0, 2/5, 0}, {0, 0, 0, 0, 0, 1, 1, 1/5, 0}, 
   {2/5, 4/5, 0, 0, 0, 1/5, 3/5, 1/5, 0}, {0, 0, 2/5, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 2/5, 1}, {2/5, 2/5, 0, 0, 2/5, 3/5, 0, 0, 3/5}, 
   {2/5, 0, 2/5, 1, 1, 0, 1, 3/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 1/2, 1/2, 0}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 1, 0, 1, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 2/3, 1/3, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 2/3, 0, 2/3, 0, 0, 1}, {0, 1/3, 0, 0, 2/3, 0, 1/3, 2/3, 0}, 
   {0, 0, 1/3, 1/3, 1, 0, 1/3, 0, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 0, 1, 0}, 
   {1, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 1, 0, 0, 0, 1/3, 1, 0, 1/3}, 
   {1/3, 1/3, 0, 0, 2/3, 0, 0, 0, 1/3}, {1/3, 0, 1/3, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, {1, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 1, 0, 0, 1/2, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1/2, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {2/3, 0, 1, 2/3, 0, 0, 1, 0, 1}, 
   {1/3, 1/3, 2/3, 0, 2/3, 0, 0, 1/3, 2/3}, {1/3, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/3, 0, 2/3, 2/3, 0, 1/3, 2/3}, {2/3, 0, 1, 0, 0, 2/3, 0, 1, 0}, 
   {1/3, 1, 0, 0, 0, 0, 1/3, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 1, 1, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 3/5, 0, 1, 2/5, 0, 0, 0}, 
   {0, 0, 3/5, 2/5, 1, 0, 0, 0, 2/5}, {1, 1, 0, 1/5, 0, 1, 0, 2/5, 0}, 
   {0, 0, 1, 3/5, 0, 1, 0, 0, 0}, {2/5, 0, 1/5, 1/5, 0, 3/5, 2/5, 0, 4/5}, 
   {3/5, 3/5, 0, 0, 1, 0, 4/5, 0, 0}, {0, 0, 2/5, 2/5, 0, 2/5, 0, 0, 0}, 
   {2/5, 0, 0, 0, 2/5, 0, 0, 2/5, 4/5}, {0, 0, 0, 4/5, 0, 0, 2/5, 2/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1/3, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 1, 0, 1/3, 2/3, 0, 0, 1/3, 1/3}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 1, 0, 2/3, 0}, {1/3, 0, 0, 1/3, 0, 2/3, 1/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 2/3, 0, 2/3, 0, 0, 0, 0, 1/3}, 
   {1, 0, 0, 0, 0, 0, 0, 2/3, 1}, {0, 1/3, 2/3, 0, 0, 1/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 2/3, 0}, {0, 0, 1, 0, 0, 0, 0, 1/3, 0}, 
   {0, 0, 1/3, 0, 0, 2/3, 1, 0, 1/3}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 2/3, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, 
   {1, 1, 0, 0, 1/2, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {1, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 1, 0, 1/3, 1, 0}, 
   {2/3, 0, 1, 1, 0, 0, 0, 1/3, 0}, {1, 1, 0, 0, 1, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 0, 1/3, 0, 2/3, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/3, 0, 0}, {0, 2/3, 0, 1, 0, 0, 1/3, 0, 1}, 
   {1/3, 1, 0, 1, 0, 2/3, 0, 0, 0}, {0, 0, 1, 0, 1, 2/3, 0, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 1, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 2/3, 0, 1/3, 0, 0, 0, 1/3, 0}, 
   {0, 0, 2/3, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 2/3, 1/3, 1/3, 0, 2/3}, 
   {1/3, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1/3, 1/3, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1/3}, {0, 0, 0, 0, 1/3, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 1, 0, 0, 1, 1, 0, 1}, {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 1, 0}, {1/2, 1, 0, 0, 0, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 1/3, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1/3, 0, 0}, {1, 0, 1, 0, 0, 0, 1/3, 0, 0}, 
   {0, 0, 1, 0, 2/3, 0, 0, 1/3, 0}, {0, 0, 1/3, 0, 1, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 1, 1/3, 1/3, 0}, {0, 1/3, 1, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 1, 0, 1, 0, 0, 1/3}, {0, 1, 0, 0, 1, 0, 2/3, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1/3, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1/3, 0, 1, 1, 2/3, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {2/3, 2/3, 0, 1/3, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 2/3, 1, 0}, 
   {0, 1/3, 0, 0, 1/3, 0, 0, 0, 1/3}, {1/3, 0, 0, 1/3, 0, 0, 0, 0, 0}, 
   {0, 0, 1/3, 0, 0, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 1, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 1, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 1, 0, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {1, 1, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1, 1, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 2/3, 0, 1/3, 0, 0, 0, 1}, 
   {2/3, 2/3, 0, 1/3, 0, 1/3, 0, 0, 1/3}, {0, 0, 0, 0, 1/3, 0, 1, 1, 0}, 
   {0, 1/3, 1/3, 1, 0, 0, 1, 0, 0}, {1, 0, 2/3, 0, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1/2}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 1/2, 1/2, 0}, 
   {1, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 1/2}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1/2, 0, 0, 0}, {1, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 3/5, 0, 0, 2/5, 0, 1, 1}, {1/5, 3/5, 0, 2/5, 2/5, 0, 1/5, 0, 2/5}, 
   {1, 1, 0, 0, 0, 0, 3/5, 0, 0}, {0, 0, 4/5, 0, 2/5, 0, 0, 2/5, 0}, 
   {0, 0, 0, 0, 0, 2/5, 2/5, 4/5, 0}, {2/5, 0, 4/5, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 2/5, 1, 0, 0}, {2/5, 0, 1, 0, 0, 0, 1, 2/5, 0}, 
   {3/5, 1, 0, 2/5, 0, 0, 0, 1/5, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{3/7, 1/7, 0, 0, 0, 2/7, 0, 0, 5/7}, {3/7, 3/7, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 3/7, 3/7, 0}, {4/7, 0, 2/7, 0, 6/7, 2/7, 0, 0, 4/7}, 
   {0, 6/7, 0, 4/7, 4/7, 0, 4/7, 0, 0}, {2/7, 4/7, 0, 0, 0, 2/7, 2/7, 2/7, 
    0}, {0, 6/7, 5/7, 0, 0, 4/7, 0, 0, 5/7}, {2/7, 0, 5/7, 6/7, 0, 2/7, 0, 0, 
    3/7}, {1, 1/7, 0, 2/7, 2/7, 0, 3/7, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 1, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1, 0, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {1, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {1, 1, 0, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 1, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 1, 0, 0}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1, 0}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 1, 0, 0, 2/3}, 
   {0, 0, 1/3, 2/3, 0, 1/3, 1/3, 0, 0}, {1/3, 0, 0, 1/3, 0, 0, 1, 0, 0}, 
   {0, 1/3, 1/3, 0, 0, 2/3, 0, 0, 1}, {0, 0, 1/3, 0, 0, 2/3, 0, 1/3, 1}, 
   {0, 1/3, 0, 1/3, 1, 0, 0, 1, 0}, {0, 0, 1/3, 0, 0, 2/3, 1, 1, 0}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 0, 0, 1}, {2/3, 0, 1/3, 0, 1/3, 2/3, 2/3, 1/3, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 1}, {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 1, 0, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, {0, 1, 1, 1, 0, 1/2, 0, 1, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 1/2}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1, 1/2, 0}, {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/9, 4/9, 0, 0, 0, 4/9, 2/3, 0}, {0, 0, 4/9, 2/9, 0, 0, 2/3, 4/9, 0}, 
   {4/9, 0, 0, 2/9, 0, 2/3, 0, 0, 4/9}, {0, 0, 1/3, 2/9, 1, 0, 0, 0, 2/3}, 
   {1, 1, 0, 1/9, 0, 5/9, 2/3, 2/3, 0}, {0, 4/9, 1/9, 0, 5/9, 0, 2/9, 0, 
    4/9}, {5/9, 1/3, 0, 4/9, 5/9, 0, 0, 2/9, 0}, {0, 2/9, 1/3, 1/3, 0, 5/9, 
    0, 0, 2/9}, {0, 0, 5/9, 5/9, 0, 5/9, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 1, 0, 1, 0, 1/2, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0}, {1, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1, 0, 1/2}, {0, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 1, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 1/2}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1/3, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2/3, 0, 2/3, 2/3, 0, 0, 1/3, 0}, 
   {0, 0, 0, 0, 0, 1, 1/3, 0, 2/3}, {1, 0, 2/3, 0, 0, 0, 1/3, 0, 0}, 
   {0, 0, 1/3, 0, 1/3, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 2/3, 1/3, 0, 1/3, 0}, {0, 0, 1/3, 1/3, 0, 0, 1/3, 0, 2/3}, 
   {0, 1/3, 1/3, 2/3, 0, 1/3, 0, 0, 0}, {0, 1/3, 0, 2/3, 0, 1/3, 0, 0, 1/3}, 
   {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 0, 1, 2/3, 0, 0, 0}, 
   {1/3, 0, 0, 1/3, 0, 0, 1/3, 2/3, 0}, {1/3, 0, 1/3, 0, 1/3, 0, 0, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 1, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 1/2}, {0, 0, 1, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {1, 1/3, 0, 1/3, 1/3, 0, 0, 0, 2/3}, {2/3, 0, 1/3, 2/3, 2/3, 1/3, 0, 0, 
    0}, {0, 2/3, 1/3, 2/3, 0, 1/3, 0, 2/3, 0}, {1/3, 1/3, 0, 0, 2/3, 1/3, 0, 
    2/3, 0}, {0, 0, 1, 1/3, 1, 0, 0, 0, 2/3}, {1, 1/3, 0, 2/3, 0, 1, 0, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1/2, 0, 1/2}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1/2}, 
   {1, 0, 1, 0, 1, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 1, 1, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1, 1, 1/2, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/2, 0, 1/2, 1, 0, 2/3, 0}, {1/3, 1/2, 1, 1/2, 0, 1/3, 0, 1/6, 
    1/6}, {2/3, 1, 0, 1/3, 1, 0, 1/6, 0, 0}, {1/3, 0, 1, 1, 1/3, 0, 0, 0, 0}, 
   {2/3, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1/3, 0, 0, 1/6, 1/3, 1/2, 0, 2/3}, 
   {1/6, 1/6, 1/2, 0, 0, 0, 0, 1/6, 1/6}, {0, 1/6, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 1/3, 0, 1/6, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 1, 1, 0, 1/3, 0}, {2/3, 1, 0, 0, 1/3, 0, 0, 1/3, 0}, 
   {2/3, 0, 1/3, 0, 0, 0, 0, 0, 1}, {0, 0, 2/3, 0, 0, 0, 2/3, 0, 1/3}, 
   {0, 2/3, 2/3, 2/3, 1/3, 0, 0, 0, 1/3}, {1/3, 0, 0, 1/3, 0, 0, 2/3, 2/3, 
    0}, {0, 0, 1, 2/3, 0, 0, 1/3, 1, 0}, {0, 1/3, 0, 0, 0, 1/3, 0, 2/3, 2/3}, 
   {1/3, 1, 0, 0, 0, 0, 1/3, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1/2, 0, 0, 1, 1/2, 0, 1, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1, 1/2, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1, 0, 1/2, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 1, 1/2, 0, 0, 0, 1, 0}, {0, 1, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 1/3, 0}, {1, 2/3, 0, 1, 1/3, 0, 0, 0, 1/3}, 
   {0, 1/3, 0, 0, 2/3, 0, 1/3, 0, 1/3}, {1, 0, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {1/3, 1/3, 0, 0, 2/3, 0, 1/3, 0, 0}, {2/3, 1/3, 0, 0, 0, 1, 2/3, 0, 2/3}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 2/3, 2/3, 0, 0, 0, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, {1/3, 0, 2/3, 1/3, 1, 0, 0, 2/3, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1/3, 1, 0, 0, 1/3, 2/3, 2/3, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1/3, 0, 0, 0, 0, 1, 0, 0, 2/3}, 
   {0, 1, 1, 1/3, 1/3, 0, 2/3, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 1, 1/2, 0}, {1/2, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 0, 2/3, 1/3, 0, 0}, {1/3, 0, 0, 0, 2/3, 0, 0, 1/3, 1}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 1/3, 1/3, 0}, {0, 1, 1, 0, 0, 0, 0, 1/3, 1}, 
   {1/3, 0, 1/3, 2/3, 0, 0, 1/3, 0, 2/3}, {0, 2/3, 1/3, 2/3, 2/3, 0, 2/3, 0, 
    0}, {2/3, 0, 0, 0, 0, 2/3, 0, 2/3, 1/3}, {0, 0, 1/3, 0, 0, 0, 2/3, 2/3, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 1/3, 0, 2/3, 0, 1/3, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1/3, 1/3}, 
   {0, 0, 1/3, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 2/3, 0, 2/3, 0, 1/3, 1}, 
   {1/3, 1/3, 0, 2/3, 2/3, 0, 1/3, 2/3, 0}, {1, 1/3, 0, 0, 0, 0, 1, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 1, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 1, 1/2, 0, 1/2, 1, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {2/3, 0, 2/3, 0, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 0, 2/3, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1/3, 0, 1}, 
   {0, 0, 0, 1/3, 0, 0, 0, 1, 1}, {1, 1/3, 0, 1/3, 0, 1, 0, 0, 0}, 
   {0, 2/3, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1/3, 2/3, 0, 1, 2/3, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 1, 0, 0, 0}, {1, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, {1, 0, 1/2, 0, 1/2, 1/2, 0, 1, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1, 0}, {0, 1/2, 1/2, 1, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 0, 1, 1/3, 1, 0}, {2/3, 0, 0, 0, 1/3, 0, 0, 2/3, 1/3}, 
   {2/3, 0, 0, 0, 1, 0, 0, 0, 1/3}, {0, 2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 1, 0, 1, 1, 0}, {0, 2/3, 0, 1/3, 0, 1/3, 0, 2/3, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 1, 0, 0, 2/3, 0, 0, 1, 0}, 
   {1/3, 0, 1, 0, 0, 2/3, 1, 0, 1/3}, {0, 1/3, 0, 2/3, 2/3, 0, 0, 1, 0}, 
   {1/3, 0, 1, 0, 0, 2/3, 0, 1, 0}, {1/3, 0, 1/3, 2/3, 0, 2/3, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1, 0, 1/2, 0, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {1, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 1, 0, 0, 0}, {0, 0, 2/3, 0, 0, 1, 0, 0, 2/3}, 
   {2/3, 1, 0, 0, 0, 0, 1, 0, 0}, {2/3, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/3, 0, 0, 1, 1/3, 0, 0, 0, 1}, {0, 0, 1, 2/3, 0, 1/3, 2/3, 0, 0}, 
   {1/3, 1, 0, 0, 0, 1/3, 0, 2/3, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1/3, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/5, 0, 1, 0, 0, 0, 1}, {2/5, 0, 0, 1/5, 0, 1, 1/5, 1, 0}, 
   {0, 0, 0, 2/5, 1, 0, 0, 0, 1}, {0, 2/5, 2/5, 0, 3/5, 0, 3/5, 1, 0}, 
   {0, 0, 0, 2/5, 1, 0, 1, 1, 0}, {0, 2/5, 0, 3/5, 0, 1, 0, 0, 1}, 
   {0, 0, 2/5, 2/5, 0, 0, 2/5, 0, 0}, {2/5, 0, 0, 0, 4/5, 0, 0, 0, 2/5}, 
   {0, 0, 0, 2/5, 0, 0, 4/5, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 1, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1/3, 0, 0, 1, 0, 1/3, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 1, 0, 0, 2/3, 0, 1/3}, {0, 1/3, 0, 2/3, 1/3, 0, 0, 2/3, 0}, 
   {0, 0, 1/3, 2/3, 0, 0, 0, 2/3, 1/3}, {2/3, 0, 2/3, 0, 1/3, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 0, 0, 2/3}, {0, 1/3, 1/3, 1/3, 0, 0, 0, 1/3, 1/3}, 
   {1/3, 0, 1/3, 0, 2/3, 1/3, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1, 0, 1, 1, 0, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 0, 0, 0, 1, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 0, 1/5, 0, 0, 4/5, 0, 2/5, 3/5}, 
   {2/5, 0, 1/5, 2/5, 0, 2/5, 0, 0, 1/5}, {3/5, 3/5, 0, 0, 0, 0, 1/5, 3/5, 
    0}, {0, 2/5, 0, 0, 0, 2/5, 4/5, 0, 2/5}, {0, 0, 4/5, 4/5, 2/5, 0, 0, 0, 
    2/5}, {2/5, 4/5, 0, 2/5, 0, 4/5, 2/5, 0, 0}, {1/5, 3/5, 0, 2/5, 4/5, 0, 
    0, 0, 1/5}, {1/5, 3/5, 0, 0, 2/5, 0, 0, 2/5, 3/5}, 
   {0, 0, 1, 0, 0, 0, 3/5, 3/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1/2, 1, 1, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 1/3, 1, 0, 0, 1/3}, {0, 2/3, 0, 1/3, 0, 0, 1/3, 1, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 2/3, 2/3, 1/3, 0, 0, 2/3, 0, 1/3}, 
   {0, 0, 2/3, 0, 1/3, 1/3, 1/3, 1/3, 0}, {0, 0, 0, 1, 2/3, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 5/13, 0, 6/13, 2/13, 0, 2/13, 0, 1/13}, 
   {2/13, 7/13, 0, 6/13, 0, 0, 0, 0, 1/13}, {7/13, 0, 1/13, 0, 8/13, 0, 1, 
    5/13, 0}, {0, 12/13, 4/13, 0, 9/13, 9/13, 0, 2/13, 1/13}, 
   {10/13, 0, 12/13, 1, 2/13, 0, 1/13, 5/13, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1/13, 0, 7/13, 0, 2/13, 2/13, 0, 10/13}, {5/13, 0, 7/13, 0, 3/13, 1, 
    0, 8/13, 0}, {2/13, 1, 0, 7/13, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 1/3, 1, 0, 1, 1}, {0, 2/3, 1/3, 2/3, 0, 1/3, 0, 2/3}, 
   {0, 0, 1, 0, 2/3, 1, 0, 0}, {0, 2/3, 1/3, 0, 0, 0, 1/3, 1}, 
   {0, 0, 0, 1, 1/3, 1, 0, 0}, {0, 0, 1, 2/3, 0, 0, 1/3, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/3, 0, 1, 1/3, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1/3, 0, 1}, {2/3, 0, 0, 0, 0, 1/3, 1/3, 0, 1}, 
   {0, 0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 2/3}, {0, 2/3, 0, 0, 0, 1/3, 0, 1, 0}, 
   {0, 0, 0, 2/3, 0, 1/3, 2/3, 1/3, 0}, {0, 0, 2/3, 1, 1/3, 0, 1/3, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1/2, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 6/7, 1, 2/7, 0, 3/7}, 
   {2/7, 1, 2/7, 0, 0, 0, 0, 0, 1/7}, {3/7, 5/7, 0, 3/7, 1/7, 0, 1/7, 2/7, 
    0}, {0, 3/7, 0, 0, 2/7, 0, 0, 0, 4/7}, {0, 1/7, 0, 0, 0, 0, 0, 2/7, 4/7}, 
   {1/7, 0, 4/7, 3/7, 1/7, 0, 1/7, 0, 0}, {3/7, 0, 3/7, 4/7, 0, 2/7, 2/7, 0, 
    0}, {5/7, 0, 6/7, 4/7, 0, 0, 0, 0, 2/7}, {0, 1/7, 0, 0, 2/7, 3/7, 5/7, 1, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 2/3, 0, 0, 1/3, 1/3, 0}, {0, 2/3, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, {2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 1/3, 1/3, 0, 2/3, 1/3}, {0, 1, 2/3, 0, 0, 0, 0, 1}, 
   {1/3, 0, 0, 0, 2/3, 1/3, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {2/3, 0, 1, 1/3, 0, 0, 0, 0, 2/3}, {2/3, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1/3, 0, 0, 1/3, 1/3, 0, 2/3, 2/3}, {0, 0, 1/3, 1/3, 0, 2/3, 1/3, 1/3, 
    1/3}, {0, 0, 1, 0, 1/3, 1, 0, 2/3, 0}, {1/3, 1, 0, 1/3, 0, 0, 2/3, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1/3, 2/3}, 
   {0, 0, 1/3, 0, 2/3, 0, 0, 1/3, 2/3}, {2/3, 0, 0, 2/3, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 2/3, 1, 0}, {0, 0, 0, 0, 1, 1/3, 1/3, 2/3, 0}, 
   {2/3, 1, 0, 1/3, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 2/3, 0, 1/3}, 
   {1/3, 1, 0, 1/3, 0, 2/3, 0, 1, 0}, {0, 0, 1, 1/3, 0, 0, 1/3, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1, 1, 0, 1/2, 1/2, 0}, {1, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1/2, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1, 0, 1, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 1/2}, 
   {1, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 1/2, 1, 0, 0, 1, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 1/2, 1/2, 1, 0, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/13, 2/13, 0, 0, 12/13, 4/13, 0, 7/13}, 
   {11/13, 0, 11/13, 0, 6/13, 0, 9/13, 1, 0}, {2/13, 1/13, 2/13, 0, 4/13, 
    8/13, 0, 4/13, 1/13}, {0, 7/13, 0, 6/13, 0, 2/13, 1/13, 9/13, 0}, 
   {4/13, 7/13, 0, 5/13, 1/13, 1/13, 0, 4/13, 1/13}, 
   {1/13, 0, 1/13, 12/13, 12/13, 0, 0, 0, 9/13}, {0, 4/13, 0, 4/13, 6/13, 0, 
    2/13, 0, 0}, {8/13, 0, 6/13, 0, 0, 4/13, 0, 0, 0}, 
   {0, 0, 2/13, 0, 4/13, 0, 4/13, 0, 4/13}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 3/4, 0, 0, 0, 1/4, 0, 1/2, 1/4}, {1/2, 1/2, 0, 0, 1/4, 0, 1/4, 1/4, 
    0}, {1/4, 0, 0, 3/4, 1/2, 0, 1/4, 0, 1/4}, {0, 1/2, 0, 1/4, 0, 0, 1/4, 1, 
    0}, {0, 1/4, 1/4, 1/4, 0, 3/4, 0, 0, 0}, {0, 0, 1/2, 0, 1/4, 1, 1/4, 0, 
    1/2}, {0, 0, 0, 1/4, 1/4, 0, 1/2, 0, 1}, {0, 0, 3/4, 0, 0, 1/4, 0, 1/4, 
    1/4}, {1/4, 0, 3/4, 0, 0, 1/4, 0, 1/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 2/3, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1/3, 1, 0}, 
   {0, 1, 2/3, 0, 0, 2/3, 0, 0, 1}, {1, 0, 1/3, 2/3, 0, 0, 1/3, 1, 0}, 
   {2/3, 1, 0, 2/3, 2/3, 0, 0, 0, 1/3}, {2/3, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 1/2}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/5, 0, 1, 1/5, 0, 2/5, 2/5, 0}, {3/5, 0, 1, 0, 0, 1/5, 0, 0, 0}, 
   {0, 2/5, 0, 0, 0, 2/5, 0, 0, 0}, {0, 0, 2/5, 0, 0, 0, 4/5, 2/5, 0}, 
   {2/5, 1, 0, 0, 4/5, 3/5, 0, 0, 0}, {1/5, 0, 1/5, 3/5, 3/5, 0, 0, 2/5, 
    4/5}, {0, 1/5, 0, 1/5, 1/5, 0, 1/5, 1/5, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 2/3, 1/3, 0, 0, 0, 2/3}, {0, 2/3, 0, 1, 0, 0, 1/3, 0, 1}, 
   {2/3, 2/3, 0, 0, 1, 0, 1/3, 1, 0}, {0, 0, 0, 0, 1, 1, 2/3, 0, 1}, 
   {1/3, 0, 2/3, 0, 1/3, 2/3, 0, 0, 1/3}, {0, 0, 0, 1, 0, 0, 2/3, 1, 0}, 
   {1/3, 0, 0, 0, 0, 1, 0, 0, 0}, {1/3, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 2/3, 0, 0, 1/3, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{4/5, 0, 0, 0, 2/5, 0, 0, 2/5, 0}, {0, 0, 0, 0, 0, 2/5, 0, 0, 2/5}, 
   {0, 2/5, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 4/5, 1/5, 1/5, 0, 4/5, 0, 1/5}, 
   {0, 2/5, 0, 0, 0, 1, 1, 1, 0}, {0, 4/5, 0, 1, 3/5, 0, 1, 3/5, 0}, 
   {0, 0, 2/5, 0, 0, 3/5, 0, 4/5, 3/5}, {4/5, 4/5, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 5/7, 3/7, 0, 0, 2/7, 3/7, 0, 0}, 
   {1/7, 0, 0, 4/7, 6/7, 0, 0, 1/7, 1}, {0, 1/7, 1/7, 2/7, 0, 0, 0, 5/7, 
    5/7}, {5/7, 0, 0, 2/7, 0, 0, 1/7, 6/7, 0}, {5/7, 2/7, 0, 0, 0, 4/7, 3/7, 
    0, 0}, {4/7, 0, 0, 0, 0, 6/7, 0, 4/7, 4/7}, {2/7, 0, 4/7, 0, 2/7, 6/7, 0, 
    0, 0}, {0, 0, 2/7, 2/7, 2/7, 0, 6/7, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 
    1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 1/3, 0, 0, 0, 0, 1, 1}, {2/3, 0, 1/3, 2/3, 0, 0, 0, 1, 1/3}, 
   {1, 1, 0, 0, 2/3, 0, 1/3, 0, 0}, {1, 1, 0, 0, 2/3, 2/3, 0, 1/3, 1/3}, 
   {0, 0, 1/3, 0, 0, 2/3, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1, 1/2, 1, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 2/3, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 2/3, 0, 1/3, 0, 2/3, 2/3}, 
   {1/3, 0, 0, 1/3, 2/3, 0, 1/3, 1, 0}, {0, 1/3, 1/3, 0, 1/3, 2/3, 1/3, 0, 
    0}, {1/3, 2/3, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1/3, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 2/3, 1/3, 0, 2/3, 0, 0}, {1/3, 2/3, 0, 0, 0, 2/3, 0, 1/3, 2/3}, 
   {0, 0, 0, 1/3, 0, 1/3, 1/3, 1/3, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1/2, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 1/3, 0, 1/3, 1/3}, {0, 0, 1/3, 0, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 1/3, 0, 0, 1/3}, {0, 0, 1/3, 1, 0, 1/3, 1, 0}, 
   {0, 0, 2/3, 0, 1, 0, 0, 1}, {2/3, 0, 0, 1, 0, 1/3, 0, 1}, 
   {0, 0, 1, 2/3, 1/3, 0, 1/3, 2/3}, {0, 0, 1/3, 0, 1, 2/3, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 2/5, 0, 1, 1/5, 0, 4/5, 3/5}, 
   {3/5, 3/5, 0, 1, 0, 2/5, 2/5, 0, 0}, {1, 0, 2/5, 3/5, 0, 0, 0, 0, 3/5}, 
   {2/5, 2/5, 0, 0, 1, 3/5, 0, 0, 0}, {0, 0, 3/5, 2/5, 0, 4/5, 0, 3/5, 0}, 
   {0, 1/5, 3/5, 1/5, 2/5, 0, 4/5, 0, 1/5}, {0, 0, 0, 0, 2/5, 4/5, 3/5, 0, 
    0}, {0, 1, 0, 3/5, 0, 0, 0, 0, 2/5}, {0, 0, 0, 0, 2/5, 0, 3/5, 4/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1, 1, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 1, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 1, 1/2, 1/2, 1/2, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1/2, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 5/18, 5/6, 0, 0, 1/3, 0, 1/9, 1/18}, {0, 5/18, 7/18, 0, 1/9, 0, 1/3, 
    0, 1/18}, {1/18, 0, 0, 1/9, 1/3, 0, 11/18, 1/6, 0}, 
   {8/9, 11/18, 0, 5/18, 0, 7/18, 0, 0, 1/6}, {5/18, 0, 7/18, 2/3, 11/18, 0, 
    0, 1/9, 1/18}, {0, 1/18, 0, 2/9, 17/18, 0, 7/18, 1/18, 0}, 
   {1/3, 0, 1/18, 0, 1/18, 1/3, 1/18, 7/18, 11/18}, 
   {7/18, 7/18, 0, 0, 1/6, 0, 0, 7/9, 1}, {0, 0, 1/2, 13/18, 0, 17/18, 1/9, 
    0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 6/7, 0, 2/7, 0, 2/7, 0, 0, 0}, 
   {0, 4/7, 0, 2/7, 0, 0, 0, 0, 2/7}, {0, 0, 0, 0, 4/7, 0, 0, 4/7, 2/7}, 
   {0, 3/7, 1, 5/7, 1, 0, 2/7, 0, 2/7}, {1, 0, 0, 0, 0, 1/7, 0, 6/7, 2/7}, 
   {1, 0, 2/7, 2/7, 0, 5/7, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/7, 5/7, 0, 6/7, 0, 2/7}, {0, 1/7, 5/7, 4/7, 0, 3/7, 2/7, 4/7, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {1, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1/2, 0, 0, 1, 0, 1/2, 1, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 0, 1, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{3/8, 1/2, 1/2, 1/8, 0, 1/4, 0, 1/8, 3/8}, 
   {1/4, 3/8, 0, 3/4, 0, 5/8, 1/8, 0, 7/8}, {0, 3/4, 1, 0, 3/8, 0, 0, 5/8, 
    0}, {0, 1/8, 0, 1/8, 0, 0, 5/8, 3/4, 0}, {5/8, 0, 1/8, 1/8, 1/2, 0, 0, 
    1/8, 1/8}, {1/8, 1/4, 0, 0, 3/4, 0, 5/8, 0, 0}, 
   {7/8, 0, 1/4, 0, 0, 1/8, 1/4, 0, 0}, {0, 0, 1/4, 1/4, 0, 3/8, 0, 0, 5/8}, 
   {1, 1/8, 0, 0, 1/8, 0, 1/8, 3/8, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1/3, 0, 2/3, 0, 1/3, 0}, {0, 1/3, 0, 1/3, 0, 2/3, 0, 1/3, 1}, 
   {1, 0, 0, 1/3, 1, 0, 0, 0, 0}, {2/3, 0, 1/3, 0, 1/3, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1/3, 0, 2/3, 0}, {0, 0, 0, 1/3, 2/3, 0, 1/3, 0, 1/3}, 
   {0, 0, 0, 2/3, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 2/3, 0, 1/3, 0, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 0, 0, 0, 0, 0, 0, 4/5, 0}, {0, 0, 2/5, 0, 0, 2/5, 0, 0, 0}, 
   {0, 3/5, 3/5, 1, 0, 2/5, 0, 2/5, 2/5}, {0, 3/5, 1/5, 3/5, 2/5, 0, 2/5, 0, 
    2/5}, {3/5, 0, 0, 0, 1, 3/5, 4/5, 0, 0}, {0, 3/5, 1/5, 0, 1, 1/5, 0, 2/5, 
    4/5}, {3/5, 0, 0, 1, 0, 2/5, 2/5, 0, 0}, {3/5, 2/5, 0, 3/5, 0, 0, 2/5, 0, 
    2/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 1, 1}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 1}, {1/2, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1/2, 0, 1/2, 1/2, 0}, {1/2, 1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, {0, 1/2, 1, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 1/2, 0, 0, 1, 0, 1, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 0, 4/5, 9/10, 0, 1/5, 1/5, 0}, 
   {0, 1/2, 1/5, 9/10, 7/10, 0, 0, 0, 0}, {3/10, 0, 7/10, 3/10, 0, 0, 1/2, 0, 
    2/5}, {0, 1/5, 0, 0, 3/10, 3/10, 0, 1/2, 1/10}, 
   {3/10, 0, 2/5, 1/5, 3/5, 0, 0, 1, 0}, {1/5, 7/10, 0, 0, 0, 4/5, 1/10, 0, 
    1/10}, {1/5, 0, 0, 0, 3/10, 1/2, 0, 0, 1/10}, 
   {0, 0, 0, 1/10, 0, 7/10, 0, 1/2, 0}, {1/5, 0, 0, 0, 3/10, 0, 1/2, 0, 
    3/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 1, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 1, 0, 0, 0, 1/3}, {2/3, 0, 2/3, 0, 1, 0, 1/3, 1, 0}, 
   {0, 1/3, 0, 1, 0, 1, 0, 0, 2/3}, {1/3, 0, 2/3, 1/3, 1, 0, 2/3, 2/3, 0}, 
   {1/3, 1, 0, 0, 2/3, 0, 0, 0, 0}, {1/3, 0, 0, 1, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 4/7, 0, 0, 3/7, 0, 0, 3/7}, 
   {2/7, 0, 0, 1/7, 3/7, 0, 1, 3/7, 0}, {0, 2/7, 0, 0, 2/7, 5/7, 3/7, 3/7, 
    0}, {2/7, 4/7, 0, 0, 0, 5/7, 3/7, 3/7, 0}, {0, 0, 0, 3/7, 3/7, 0, 0, 4/7, 
    1}, {4/7, 4/7, 0, 0, 0, 0, 0, 0, 6/7}, {0, 0, 2/7, 4/7, 2/7, 0, 4/7, 0, 
    0}, {2/7, 0, 4/7, 4/7, 0, 0, 4/7, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 1, 0, 1/2, 1, 1/2, 0, 1}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, {1, 0, 1/2, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 3/5, 0, 4/5, 0, 2/5, 3/5, 1, 0}, 
   {1/5, 0, 1, 0, 0, 0, 0, 0, 3/5}, {0, 2/5, 0, 0, 4/5, 0, 4/5, 4/5, 0}, 
   {4/5, 0, 0, 2/5, 2/5, 0, 0, 0, 0}, {4/5, 2/5, 0, 0, 0, 0, 2/5, 0, 0}, 
   {0, 3/5, 0, 0, 0, 2/5, 0, 0, 1}, {1/5, 0, 1, 0, 0, 2/5, 3/5, 3/5, 0}, 
   {0, 1, 0, 0, 2/5, 0, 0, 0, 3/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1, 1, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 1, 0, 0, 0, 1/3}, 
   {0, 0, 0, 2/3, 0, 1/3, 0, 1, 0}, {0, 0, 0, 1/3, 0, 1, 1/3, 0, 1}, 
   {2/3, 1/3, 0, 0, 1, 0, 0, 2/3, 0}, {1/3, 0, 2/3, 0, 0, 1, 1/3, 0, 1/3}, 
   {0, 1/3, 2/3, 0, 1/3, 0, 1/3, 2/3, 0}, {0, 0, 0, 1, 0, 0, 2/3, 0, 2/3}, 
   {1/3, 2/3, 0, 1/3, 0, 2/3, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 
    0}, {0, 0, 1, 0, 1/2, 0, 1, 0, 1}, {0, 1/2, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 1, 0}, {1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{4/5, 1/5, 0, 0, 0, 3/5, 0, 0, 4/5}, 
   {0, 1/5, 0, 4/5, 0, 1/5, 2/5, 0, 4/5}, {3/5, 0, 1, 1/5, 1/5, 0, 0, 0, 0}, 
   {0, 3/5, 0, 1/5, 1/5, 2/5, 0, 4/5, 0}, {2/5, 1, 0, 1/5, 1/5, 0, 0, 4/5, 
    0}, {1/5, 0, 1, 0, 0, 3/5, 2/5, 0, 4/5}, {0, 0, 2/5, 2/5, 2/5, 0, 0, 2/5, 
    0}, {0, 0, 0, 0, 0, 0, 4/5, 4/5, 0}, {0, 4/5, 0, 0, 4/5, 0, 4/5, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {1, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 
    0}, {0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/3, 1}, {1, 0, 0, 0, 0, 1, 2/3, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 2/3}, {1/3, 0, 2/3, 1/3, 0, 1/3, 0, 0}, 
   {1/3, 0, 0, 0, 0, 1, 2/3, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 2/3, 1/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1/3}, 
   {0, 2/3, 0, 1, 0, 0, 1, 2/3}, {0, 2/3, 1/3, 0, 1, 1, 0, 1/3}, 
   {0, 0, 2/3, 1, 0, 0, 1, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 2/3, 2/3, 0}, {0, 0, 2/3, 0, 0, 0, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1, 1, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/3, 1/3, 0, 2/3, 0, 1}, 
   {0, 1, 0, 0, 0, 2/3, 1/3, 1/3, 0}, {0, 1, 0, 1/3, 0, 0, 0, 1, 0}, 
   {0, 0, 2/3, 0, 1/3, 1/3, 0, 2/3, 0}, {1/3, 0, 1/3, 1/3, 0, 1/3, 0, 1/3, 
    0}, {1, 0, 0, 2/3, 0, 0, 1/3, 0, 0}, {2/3, 0, 0, 0, 2/3, 1, 0, 0, 1/3}, 
   {2/3, 0, 1, 1/3, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 2/3, 0, 2/3, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 1, 0, 0, 1/2, 0}, {0, 1/2, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 1, 1}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 0, 1, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 1, 0, 1}, {1/2, 0, 0, 0, 1/2, 1, 0, 1}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 1, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 1/3, 0, 0, 2/3, 0, 0, 0, 1/3}, 
   {0, 0, 0, 2/3, 1, 0, 0, 1/3, 0}, {0, 1/3, 0, 0, 0, 0, 2/3, 0, 1}, 
   {0, 0, 0, 2/3, 0, 1, 1/3, 1/3, 0}, {1/3, 0, 1/3, 2/3, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 1, 0, 0, 0, 2/3, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2}, {1/2, 0, 1, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 2/5, 0, 2/5, 0, 0, 1/5, 2/5}, {0, 2/5, 0, 0, 0, 0, 0, 1, 4/5}, 
   {4/5, 0, 4/5, 2/5, 0, 0, 0, 1/5, 0}, {0, 4/5, 3/5, 2/5, 1/5, 0, 2/5, 0, 
    0}, {1/5, 1, 0, 1/5, 0, 1/5, 4/5, 0, 0}, {2/5, 0, 1, 0, 3/5, 0, 0, 0, 
    2/5}, {1/5, 1/5, 0, 1/5, 0, 3/5, 1/5, 0, 1/5}, 
   {3/5, 1, 0, 0, 1/5, 0, 0, 1/5, 0}, {0, 0, 1/5, 1/5, 0, 3/5, 2/5, 1/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 0, 0, 1/3, 0, 0, 0, 0}, 
   {0, 0, 1/3, 1/3, 0, 1, 2/3, 0, 0}, {1/3, 1/3, 0, 1/3, 0, 1, 0, 2/3, 0}, 
   {1/3, 1, 0, 1/3, 0, 1, 0, 0, 0}, {2/3, 0, 1, 0, 1/3, 0, 0, 2/3, 0}, 
   {0, 2/3, 2/3, 0, 2/3, 0, 0, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/3, 0, 1/3, 1/3, 0, 2/3, 0}, 
   {1/3, 0, 1/3, 1, 0, 0, 2/3, 2/3, 0}, {0, 2/3, 0, 0, 0, 1, 0, 0, 1/3}, 
   {0, 1/3, 0, 2/3, 1, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 1, 0, 0, 0, 1}, 
   {2/3, 0, 2/3, 0, 0, 1, 1/3, 1/3, 0}, {0, 0, 0, 1/3, 0, 2/3, 0, 0, 1}, 
   {1/3, 0, 0, 0, 1, 0, 1/3, 1/3, 0}, {0, 1, 0, 1/3, 0, 0, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 2/3, 0, 0, 0}, {1, 1/3, 0, 1, 0, 2/3, 1/3, 1/3, 0}, 
   {0, 0, 1/3, 0, 0, 0, 2/3, 0, 1}, {0, 2/3, 0, 0, 0, 0, 0, 0, 1/3}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3, 2/3}, {0, 2/3, 0, 0, 0, 1/3, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1/3, 1, 0}, {2/3, 0, 1/3, 1/3, 1/3, 1/3, 0, 0, 1/3}, 
   {1, 1/3, 0, 0, 1, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 0, 0, 0, 1/3, 0, 2/3}, {0, 0, 0, 2/3, 1, 0, 0, 0, 0}, 
   {0, 1, 2/3, 0, 1/3, 0, 1/3, 0, 0}, {0, 1/3, 0, 0, 1/3, 2/3, 0, 1/3, 0}, 
   {1/3, 0, 0, 1/3, 0, 1, 0, 0, 0}, {0, 0, 0, 1/3, 0, 1, 1/3, 2/3, 0}, 
   {2/3, 0, 1/3, 0, 0, 0, 0, 1/3, 1/3}, {1, 0, 1/3, 0, 1/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 2/5, 0, 2/5, 3/5, 3/5, 0, 2/5}, 
   {2/5, 0, 4/5, 0, 0, 1/5, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 3/5, 1}, 
   {2/5, 2/5, 0, 0, 0, 0, 2/5, 2/5, 0}, {0, 0, 0, 0, 0, 2/5, 0, 4/5, 2/5}, 
   {2/5, 0, 2/5, 2/5, 0, 0, 0, 0, 0}, {0, 2/5, 0, 1/5, 3/5, 2/5, 1/5, 0, 0}, 
   {0, 4/5, 0, 1/5, 1/5, 0, 3/5, 0, 0}, {2/5, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1/2, 1, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 1}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1, 0, 1/2}, {0, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1, 1/2, 0, 1, 1, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {1, 1, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/3, 0, 1, 0, 0, 1/3}, 
   {0, 0, 1/3, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1/3, 0, 1/3, 0}, {1/3, 0, 0, 2/3, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/3, 1, 0, 1/3, 0, 0}, {0, 1, 1, 1/3, 2/3, 0, 2/3, 0, 0}, 
   {1, 1/3, 0, 0, 0, 1, 0, 1/3, 0}, {1, 0, 0, 1/3, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 1, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 1, 1, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {1/2, 1, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 1/2, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 0, 1, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 1/2}, {1, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 1, 0, 0, 0, 1, 2/3}, {2/3, 0, 0, 1, 1, 1/3, 0, 1}, 
   {0, 2/3, 1/3, 0, 0, 2/3, 1/3, 0}, {0, 2/3, 0, 1, 1/3, 0, 1/3, 0}, 
   {0, 0, 0, 1/3, 1/3, 2/3, 1, 0}, {2/3, 0, 1, 0, 0, 1, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/7, 1/7, 0, 2/7, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 3/7, 1, 1/7, 0, 0}, {1, 1/7, 0, 1/7, 0, 0, 0, 2/7, 6/7}, 
   {2/7, 0, 1/7, 1, 0, 0, 6/7, 3/7, 0}, {0, 0, 1, 1, 2/7, 0, 0, 3/7, 0}, 
   {1/7, 0, 0, 0, 4/7, 1, 0, 0, 1}, {0, 1/7, 1/7, 6/7, 0, 2/7, 3/7, 0, 3/7}, 
   {0, 6/7, 0, 6/7, 3/7, 0, 0, 1/7, 0}, {0, 0, 0, 0, 4/7, 0, 6/7, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0}, {1/3, 0, 0, 1, 0, 2/3, 0, 0}, 
   {0, 1, 1/3, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1/3, 0, 2/3, 0, 2/3}, {1/3, 0, 1, 0, 1/3, 0, 0, 0}, 
   {0, 1/3, 2/3, 1/3, 0, 0, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 1/2, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 1, 0}, {1, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 2/5, 0, 0, 0, 3/5, 0, 1/5, 3/5}, {0, 2/5, 2/5, 0, 0, 1/5, 0, 1/5, 
    3/5}, {2/5, 0, 0, 3/5, 1/5, 0, 3/5, 0, 2/5}, {2/5, 0, 2/5, 0, 2/5, 0, 0, 
    2/5, 0}, {2/5, 0, 0, 2/5, 0, 2/5, 0, 4/5, 2/5}, 
   {0, 2/5, 0, 4/5, 4/5, 0, 2/5, 0, 2/5}, {0, 0, 2/5, 0, 0, 3/5, 3/5, 0, 0}, 
   {2/5, 2/5, 0, 3/5, 1, 0, 0, 1, 1/5}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 2/3, 0, 1, 0, 1}, 
   {0, 1/3, 0, 0, 2/3, 0, 1/3, 0}, {0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/3, 0, 1}, {1/3, 0, 2/3, 2/3, 0, 0, 1, 0}, 
   {1/3, 0, 2/3, 0, 2/3, 2/3, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1, 1/2, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1, 1, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 1/3, 0, 0, 0, 0, 1, 0}, {2/3, 2/3, 0, 1/3, 0, 1/3, 0, 0, 0}, 
   {2/3, 1, 0, 0, 0, 1/3, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/3, 0, 1, 2/3, 0, 1}, {1/3, 0, 2/3, 0, 1/3, 0, 0, 0, 1}, 
   {0, 0, 2/3, 1/3, 1/3, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 1, 1/2, 0, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 1, 0, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {2/3, 2/3, 1/3, 0, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 1, 0, 1/3, 0, 1/3, 2/3, 2/3, 0}, {0, 0, 1, 2/3, 1, 0, 0, 0, 2/3}, 
   {0, 0, 1/3, 1/3, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1/3, 0, 0, 0, 2/3}, 
   {0, 0, 1/3, 1/3, 0, 1/3, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 1/2, 0}, {1, 1, 0, 0, 1, 1/2, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 7/11, 7/11, 0, 0, 2/11, 3/11, 0, 0}, 
   {0, 3/11, 3/11, 4/11, 2/11, 0, 5/11, 2/11, 0}, 
   {5/11, 2/11, 0, 4/11, 0, 0, 0, 7/11, 3/11}, {5/11, 0, 8/11, 0, 6/11, 0, 
    3/11, 6/11, 0}, {0, 1/11, 1, 8/11, 8/11, 0, 0, 3/11, 5/11}, 
   {1, 2/11, 0, 0, 0, 4/11, 7/11, 0, 4/11}, {0, 0, 4/11, 6/11, 0, 8/11, 0, 
    2/11, 0}, {0, 2/11, 4/11, 0, 0, 6/11, 0, 0, 6/11}, 
   {6/11, 8/11, 0, 0, 4/11, 0, 0, 4/11, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/4, 0, 1/4, 1, 0, 0, 0}, 
   {0, 1/4, 0, 0, 0, 3/4, 1/2, 1, 0}, {0, 1/4, 0, 1, 0, 0, 1, 0, 3/4}, 
   {0, 0, 0, 3/4, 0, 0, 0, 1, 1/4}, {1/2, 0, 1/2, 1/4, 0, 0, 0, 1/2, 0}, 
   {0, 3/4, 3/4, 0, 1, 1/4, 0, 0, 0}, {0, 1/4, 0, 0, 0, 3/4, 1/2, 0, 1}, 
   {0, 0, 0, 1, 3/4, 0, 0, 3/4, 0}, {3/4, 3/4, 0, 0, 1/2, 0, 0, 0, 1/4}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1, 1, 0, 1/2}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1/2, 1, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 3/5, 0, 0, 0, 3/5, 2/5, 2/5, 0}, 
   {0, 0, 0, 3/5, 0, 0, 3/5, 0, 3/5}, {1/5, 1/5, 0, 2/5, 0, 0, 2/5, 0, 2/5}, 
   {0, 2/5, 0, 3/5, 4/5, 0, 0, 0, 0}, {1/5, 0, 1/5, 0, 0, 0, 2/5, 3/5, 2/5}, 
   {3/5, 0, 3/5, 0, 2/5, 2/5, 0, 1/5, 0}, {0, 0, 0, 0, 0, 3/5, 0, 2/5, 2/5}, 
   {0, 1/5, 0, 0, 1/5, 1, 0, 0, 2/5}, {2/5, 0, 3/5, 2/5, 0, 0, 0, 3/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 1, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 1, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 1, 0, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 0, 0, 1/2, 1}, 
   {0, 1, 1/2, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, {0, 1, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1, 1}, {0, 0, 1, 1/2, 0, 0, 1, 1, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 1, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 1/3, 0, 1, 0, 0, 1}, 
   {2/3, 0, 2/3, 1, 0, 1/3, 1, 0}, {1/3, 1/3, 0, 1/3, 0, 0, 2/3, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 0, 2/3, 1/3}, {0, 0, 1/3, 0, 1, 1/3, 1, 0}, 
   {0, 0, 2/3, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 0, 0, 0, 0, 1, 1}, {1/3, 0, 0, 2/3, 2/3, 0, 1/3, 1/3, 0}, 
   {1, 1, 0, 0, 0, 1/3, 1, 0, 0}, {0, 0, 1, 0, 0, 2/3, 1, 0, 0}, 
   {1, 0, 0, 0, 1/3, 0, 0, 2/3, 1}, {1/3, 2/3, 0, 2/3, 1, 0, 0, 0, 1/3}, 
   {0, 1/3, 0, 1/3, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 1/3, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1/2, 1/2, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 1/3, 2/3, 0, 2/3, 2/3, 0}, 
   {2/3, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 2/3}, 
   {1, 0, 0, 1/3, 0, 0, 0, 1, 0}, {0, 2/3, 2/3, 0, 1/3, 0, 1/3, 1/3, 0}, 
   {0, 1, 0, 0, 0, 2/3, 0, 1, 0}, {1/3, 0, 0, 1, 1, 0, 0, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1/2}, {1/2, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1/2, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 0, 2/3, 1/3, 1/3, 0}, 
   {2/3, 1/3, 0, 0, 1/3, 0, 0, 1/3, 0}, {1/3, 1/3, 0, 1/3, 0, 0, 2/3, 1/3, 
    0}, {2/3, 0, 1/3, 0, 0, 1/3, 1/3, 1/3, 0}, {0, 0, 1/3, 1/3, 2/3, 0, 0, 0, 
    1/3}, {0, 0, 0, 1/3, 0, 2/3, 0, 0, 2/3}, {0, 0, 0, 0, 0, 1/3, 1/3, 1/3, 
    2/3}, {0, 1/3, 1, 1/3, 2/3, 0, 1/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/3, 1, 0, 2/3, 1/3}, {0, 1/3, 0, 2/3, 1, 0, 1, 0, 1/3}, 
   {1/3, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1/3, 0, 0, 0, 1/3, 1/3, 0, 1/3}, 
   {0, 1/3, 2/3, 1/3, 0, 0, 0, 1/3, 0}, {1/3, 0, 0, 0, 1/3, 0, 0, 0, 2/3}, 
   {0, 0, 0, 1/3, 0, 1, 2/3, 0, 2/3}, {2/3, 0, 0, 1, 2/3, 0, 0, 1, 0}, 
   {0, 0, 1/3, 0, 1/3, 1/3, 1, 1/3, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 2/3, 0, 2/3, 0, 0, 1, 1/3}, {0, 1/3, 0, 0, 2/3, 0, 0, 1, 1}, 
   {1/3, 0, 1/3, 2/3, 0, 2/3, 1, 0, 0}, {1/3, 0, 1/3, 0, 0, 2/3, 0, 1/3, 1}, 
   {0, 1/3, 2/3, 0, 0, 0, 1/3, 0, 2/3}, {2/3, 1/3, 0, 0, 2/3, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 9/11, 0, 0, 7/11, 1/11, 1, 0, 5/11}, 
   {0, 0, 0, 1, 0, 0, 0, 10/11, 6/11}, {6/11, 6/11, 0, 5/11, 0, 0, 0, 4/11, 
    0}, {0, 0, 6/11, 0, 1/11, 0, 0, 9/11, 5/11}, {9/11, 0, 6/11, 3/11, 1/11, 
    0, 0, 0, 5/11}, {0, 0, 0, 5/11, 0, 1, 1/11, 4/11, 0}, 
   {0, 0, 0, 0, 10/11, 1, 0, 2/11, 1/11}, {0, 0, 0, 1/11, 1, 0, 1, 4/11, 0}, 
   {0, 0, 3/11, 2/11, 0, 1/11, 10/11, 0, 8/11}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/5, 4/5, 0, 2/5, 0, 1/5, 0}, {1, 0, 0, 2/5, 0, 3/5, 0, 1}, 
   {0, 2/5, 0, 2/5, 2/5, 0, 0, 0}, {0, 0, 0, 4/5, 0, 2/5, 2/5, 0}, 
   {2/5, 0, 2/5, 0, 0, 0, 0, 4/5}, {1/5, 0, 0, 4/5, 2/5, 0, 3/5, 0}, 
   {3/5, 0, 0, 0, 2/5, 4/5, 3/5, 0}, {0, 1, 0, 2/5, 0, 1/5, 0, 3/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, {0, 0, 1, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 1, 1/2, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1, 0, 1, 0, 1/2}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 1, 0, 1/2, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 1/2, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2}, {1, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 1/2, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 0, 1}, {0, 1/2, 1, 1/2, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1/2, 0, 0}, {0, 0, 1/4, 0, 3/4, 0, 1/4, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1/4}, 
   {1/2, 0, 0, 0, 0, 0, 1/4, 1, 1/2}, {1, 0, 1/2, 0, 0, 0, 1/4, 1, 0}, 
   {0, 1, 1/2, 0, 0, 3/4, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 1/4, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 3/4, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/7, 1, 5/7, 0, 0, 3/7, 0}, {2/7, 0, 0, 0, 1/7, 1/7, 0, 5/7}, 
   {0, 0, 4/7, 2/7, 5/7, 2/7, 3/7, 0}, {0, 2/7, 0, 0, 5/7, 4/7, 5/7, 0}, 
   {4/7, 0, 3/7, 1/7, 0, 3/7, 0, 5/7}, {0, 6/7, 0, 0, 0, 0, 0, 2/7}, 
   {0, 0, 0, 2/7, 2/7, 0, 4/7, 0}, {2/7, 0, 0, 0, 0, 2/7, 6/7, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1, 1/2}, {1/2, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 1, 0, 1, 1/2, 0}, 
   {1/2, 1, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 0}, {1, 0, 0, 1/2, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1, 1/2, 1, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1/2, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 2/3, 1/3, 0, 0, 1, 0, 0}, {2/3, 0, 0, 0, 0, 1, 0, 1/3, 0}, 
   {0, 0, 0, 0, 0, 1/3, 2/3, 1/3, 0}, {0, 2/3, 2/3, 0, 1/3, 0, 0, 2/3, 1}, 
   {2/3, 0, 0, 2/3, 1, 0, 0, 0, 2/3}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1/3, 0, 0, 0, 1/3, 0}, {0, 0, 0, 1/3, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1/3, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 1, 1, 0, 0, 1/3}, {2/3, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {2/3, 0, 2/3, 1, 0, 0, 1/3, 1, 0}, {2/3, 0, 0, 0, 1, 1/3, 1/3, 1/3, 0}, 
   {0, 2/3, 0, 1, 0, 0, 0, 0, 1/3}, {0, 0, 0, 1, 0, 0, 2/3, 0, 1}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 0, 1/3, 1, 0, 1/3, 0}, {0, 0, 0, 1, 0, 2/3, 1/3, 1, 0}, 
   {2/3, 1/3, 0, 2/3, 2/3, 0, 1/3, 0, 1/3}, {2/3, 0, 0, 0, 1, 0, 0, 1/3, 0}, 
   {0, 1/3, 1/3, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 2/3, 0, 0, 0, 0, 1/3}, 
   {2/3, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 0, 2/3, 2/3, 0, 2/3}, 
   {0, 1/3, 2/3, 1/3, 2/3, 0, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1/2, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1, 1/2, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/3, 0, 2/3, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 1, 1/3, 0, 0}, {0, 0, 0, 0, 1/3, 0, 2/3, 1, 0}, 
   {0, 1/3, 0, 2/3, 1/3, 0, 0, 1/3, 1/3}, {1/3, 0, 0, 0, 1, 0, 1/3, 0, 1}, 
   {0, 2/3, 0, 1, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/3, 1, 0}, 
   {0, 1/3, 0, 2/3, 0, 1, 0, 0, 0}, {1, 0, 2/3, 1, 0, 0, 0, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 1/3, 0, 0, 0, 1/3, 1/3, 0, 0}, {0, 0, 1/3, 1/3, 1/3, 0, 1/3, 0, 
    1/3}, {0, 1/3, 0, 1/3, 1, 0, 0, 2/3, 0}, {0, 0, 1/3, 1/3, 0, 1, 0, 0, 
    2/3}, {0, 1/3, 2/3, 0, 0, 2/3, 1/3, 0, 1/3}, {0, 0, 0, 2/3, 0, 2/3, 1/3, 
    2/3, 0}, {2/3, 0, 0, 1/3, 2/3, 0, 1/3, 0, 2/3}, 
   {1/3, 0, 1/3, 0, 0, 0, 1/3, 2/3, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 1, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 1, 0, 1, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 1, 0, 0, 1, 0}, {1, 1/2, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {1, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 1, 0, 0, 1, 1/3, 0, 0, 0}, 
   {0, 0, 1/3, 1, 0, 1/3, 0, 2/3, 2/3}, {2/3, 0, 1, 1, 0, 0, 0, 1/3, 0}, 
   {0, 2/3, 2/3, 0, 1/3, 0, 1/3, 0, 1/3}, {1/3, 1/3, 0, 1, 0, 2/3, 0, 0, 0}, 
   {0, 0, 1, 0, 1/3, 1, 0, 0, 0}, {0, 0, 0, 1/3, 1/3, 0, 1/3, 0, 1/3}, 
   {1/3, 0, 0, 0, 2/3, 0, 0, 1/3, 0}, {0, 2/3, 0, 1/3, 0, 0, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 2/3, 0, 0, 1/3, 1/3}, 
   {2/3, 1, 0, 2/3, 0, 2/3, 1/3, 0, 0}, {2/3, 1, 2/3, 0, 0, 0, 1/3, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 0, 1/3, 1/3}, {0, 1/3, 0, 0, 0, 0, 0, 1, 1/3}, 
   {1/3, 0, 1, 0, 0, 2/3, 1/3, 0, 0}, {0, 0, 0, 2/3, 0, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 4/5, 2/5, 0, 3/5, 2/5, 2/5, 0, 2/5}, {0, 4/5, 0, 2/5, 0, 1, 2/5, 1, 
    0}, {1/5, 0, 3/5, 1, 4/5, 0, 0, 1/5, 2/5}, {2/5, 0, 4/5, 0, 1/5, 2/5, 0, 
    1/5, 0}, {0, 0, 0, 3/5, 0, 3/5, 1/5, 0, 1}, {2/5, 3/5, 0, 3/5, 1, 0, 2/5, 
    0, 0}, {2/5, 0, 0, 0, 0, 1/5, 2/5, 0, 0}, {0, 3/5, 0, 1/5, 2/5, 0, 0, 
    1/5, 0}, {2/5, 0, 2/5, 0, 0, 3/5, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1, 0, 1/2, 0, 1, 1, 0}, {1/2, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 4/5, 1, 0}, 
   {2/5, 4/5, 0, 1/5, 1, 0, 1/5, 0, 1/5}, {2/5, 0, 4/5, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 4/5, 0, 2/5, 0, 0, 2/5}, {2/5, 0, 0, 0, 0, 0, 2/5, 4/5, 0}, 
   {0, 2/5, 2/5, 1/5, 1/5, 0, 0, 1/5, 2/5}, {0, 0, 4/5, 1, 1, 0, 0, 1/5, 0}, 
   {0, 0, 0, 0, 0, 3/5, 1/5, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1/9, 2/3, 0, 2/3, 0, 1/3, 4/9, 0}, {1/3, 5/9, 0, 8/9, 2/3, 0, 1/9, 
    0, 0}, {0, 0, 1, 0, 0, 4/9, 0, 1/9, 1}, {0, 2/9, 4/9, 2/3, 0, 2/9, 2/9, 
    8/9, 0}, {2/9, 0, 8/9, 8/9, 8/9, 0, 2/9, 0, 4/9}, 
   {8/9, 8/9, 0, 0, 0, 8/9, 0, 0, 0}, {5/9, 1/3, 0, 0, 2/9, 0, 0, 1/9, 1/3}, 
   {1/9, 1/3, 0, 0, 2/3, 0, 0, 1/3, 1/3}, {0, 0, 1/3, 0, 0, 4/9, 7/9, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1/2, 1, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 1}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 1, 0, 1, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 1/2, 1, 0, 0, 1, 0, 1/2, 0}, 
   {1, 0, 0, 1, 0, 0, 1/2, 1, 0}, {1, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1, 0}, {0, 1/2, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 2/3, 0, 1/3, 1/3}, {1/3, 0, 0, 0, 2/3, 2/3, 1/3, 2/3, 0}, 
   {1, 2/3, 0, 0, 2/3, 0, 1/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3, 2/3}, 
   {1, 0, 0, 2/3, 0, 0, 0, 1/3, 1/3}, {1/3, 0, 0, 1/3, 1/3, 1/3, 1/3, 0, 0}, 
   {0, 1/3, 1/3, 0, 2/3, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1/2, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1/2}, {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1, 1/2}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1/3, 0, 0, 1, 2/3, 0, 1, 0, 0}, 
   {1/3, 0, 2/3, 0, 0, 0, 1, 1, 0}, {1/3, 1/3, 0, 1, 0, 0, 0, 1/3, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 1, 0, 1, 0, 0, 1/3}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 2/3, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 1, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 0, 0, 1, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1, 0, 1/2, 0}, {1, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 1, 1/4, 1/2, 0, 0, 3/4, 0, 1/2}, 
   {1/4, 0, 1/2, 3/4, 1, 0, 1/2, 0, 0}, {1, 3/4, 0, 0, 0, 1, 0, 1/4, 0}, 
   {1/4, 1/2, 0, 1, 1/2, 0, 0, 1/4, 1/2}, {0, 0, 3/4, 1/4, 0, 1/2, 0, 0, 
    1/2}, {0, 1/4, 1, 0, 0, 3/4, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 1, 0, 1, 1/2, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1/2, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1, 1, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1, 1/2, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 0, 1/3, 0, 1, 0, 0}, 
   {1, 0, 0, 2/3, 0, 1/3, 0, 1, 2/3}, {0, 0, 0, 2/3, 2/3, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 1, 0, 0, 2/3, 0, 1, 1}, {2/3, 0, 1/3, 1/3, 2/3, 0, 0, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 0, 1/3, 1, 0, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 1/3, 0}, {0, 2/3, 0, 0, 0, 1/3, 0, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1, 0, 1/2, 0}, {1/2, 1/2, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 1/2}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1, 1/2, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {1, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 1/2, 1/2, 0}, {1/2, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {1, 0, 1/2, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 3/5, 4/5, 0, 1, 0, 1/5, 0, 1/5}, 
   {0, 0, 0, 1, 0, 0, 2/5, 1, 0}, {0, 1/5, 2/5, 2/5, 1, 0, 0, 0, 1/5}, 
   {4/5, 0, 0, 0, 1, 2/5, 0, 1/5, 0}, {3/5, 0, 1/5, 0, 3/5, 1/5, 0, 2/5, 
    1/5}, {0, 0, 0, 1, 0, 2/5, 2/5, 0, 1}, {1/5, 0, 0, 1/5, 0, 2/5, 1/5, 0, 
    1/5}, {0, 1/5, 0, 0, 0, 3/5, 1/5, 0, 0}, {0, 2/5, 0, 0, 0, 0, 1/5, 3/5, 
    3/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 2/3, 0, 0, 1/3, 0, 0, 1/3, 0}, {0, 1/3, 1/3, 0, 0, 2/3, 0, 0, 2/3}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 0, 0, 1/3}, {0, 0, 2/3, 1/3, 0, 0, 1/3, 2/3, 0}, 
   {1/3, 0, 0, 0, 0, 2/3, 1/3, 0, 0}, {0, 0, 2/3, 0, 1/3, 0, 1/3, 0, 2/3}, 
   {1/3, 0, 2/3, 0, 1/3, 1/3, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 1, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {1, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1/2, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 2/3, 0, 1/3, 0, 0, 1/3, 0}, 
   {2/3, 0, 0, 0, 1/3, 0, 2/3, 1, 0}, {0, 0, 0, 1/3, 0, 1, 1/3, 0, 1}, 
   {0, 2/3, 2/3, 0, 0, 1/3, 0, 1, 0}, {0, 0, 0, 1/3, 1, 0, 1/3, 0, 1}, 
   {0, 0, 0, 0, 0, 1/3, 0, 1, 2/3}, {0, 0, 0, 1/3, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 0, 1/3, 0, 0, 2/3, 2/3, 0}, {0, 2/3, 0, 1/3, 2/3, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/7, 2/7, 0, 6/7, 0}, 
   {2/7, 4/7, 0, 6/7, 0, 0, 2/7, 0, 0}, {2/7, 0, 0, 6/7, 0, 4/7, 0, 0, 0}, 
   {0, 0, 3/7, 5/7, 4/7, 2/7, 0, 0, 2/7}, {1/7, 1/7, 0, 0, 3/7, 5/7, 4/7, 0, 
    6/7}, {0, 2/7, 1, 5/7, 0, 0, 0, 2/7, 2/7}, {5/7, 5/7, 0, 3/7, 0, 0, 0, 
    4/7, 0}, {2/7, 0, 1/7, 0, 3/7, 1/7, 2/7, 0, 0}, 
   {0, 0, 1/7, 0, 3/7, 3/7, 2/7, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1, 1, 1/2, 0}, {0, 1, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1, 1/2, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1/5, 0, 0, 2/5, 0, 3/5, 0}, 
   {1/5, 1, 0, 2/5, 0, 0, 3/5, 0, 3/5}, {4/5, 0, 3/5, 0, 2/5, 0, 3/5, 0, 
    1/5}, {1/5, 1/5, 0, 4/5, 4/5, 0, 0, 3/5, 0}, {4/5, 2/5, 1, 0, 0, 0, 1/5, 
    0, 1/5}, {0, 4/5, 0, 0, 0, 2/5, 0, 0, 0}, {0, 2/5, 0, 0, 0, 2/5, 0, 0, 
    2/5}, {0, 0, 2/5, 2/5, 0, 0, 2/5, 0, 2/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1/2, 0, 1, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 2/3, 0, 1/3, 2/3, 0, 1/3, 0}, {1/3, 2/3, 0, 2/3, 0, 0, 2/3, 2/3, 
    0}, {1, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 0, 0, 1/3, 1, 0, 0, 1, 0}, 
   {1/3, 0, 0, 0, 0, 1, 1/3, 0, 1}, {0, 0, 1, 1/3, 0, 0, 0, 0, 0}, 
   {1/3, 0, 0, 1/3, 1/3, 1, 0, 0, 0}, {2/3, 1/3, 0, 0, 0, 1, 0, 1/3, 0}, 
   {0, 1, 0, 1/3, 1/3, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/4, 1/4, 0, 0, 1/4, 1}, 
   {1/2, 0, 1/4, 0, 1/2, 1/2, 0, 0, 0}, {1/4, 0, 1/4, 0, 0, 1/4, 0, 0, 1/2}, 
   {3/4, 0, 3/4, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 3/4, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 3/4, 0, 0}, {1/4, 1/2, 1/4, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/4, 0, 3/4, 3/4}, {0, 0, 1/4, 1, 1/4, 0, 1/2, 1/4, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 3/5, 0, 3/5, 0, 0}, 
   {3/5, 0, 0, 0, 3/5, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {1/5, 0, 4/5, 4/5, 0, 1/5, 4/5, 0}, {0, 2/5, 3/5, 0, 1, 0, 0, 2/5}, 
   {0, 1/5, 1, 2/5, 0, 0, 0, 4/5}, {1, 0, 0, 3/5, 1/5, 0, 0, 4/5}, 
   {0, 1/5, 0, 0, 4/5, 2/5, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 1/2, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/3, 0, 0, 0, 0, 0, 1, 1/3}, {0, 0, 1, 2/3, 0, 0, 1/3, 0, 0}, 
   {0, 2/3, 1, 0, 0, 2/3, 0, 1/3, 1/3}, {0, 0, 1/3, 2/3, 0, 2/3, 0, 1/3, 
    1/3}, {1/3, 1/3, 0, 0, 0, 0, 1, 0, 2/3}, {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 5/7, 0, 2/7, 0, 1, 0}, 
   {3/7, 0, 0, 1, 0, 2/7, 0, 5/7}, {0, 0, 0, 0, 1, 4/7, 0, 2/7}, 
   {0, 3/7, 0, 0, 4/7, 1/7, 0, 2/7}, {3/7, 0, 2/7, 2/7, 0, 2/7, 1, 0}, 
   {0, 0, 1, 0, 0, 6/7, 0, 5/7}, {0, 3/7, 4/7, 6/7, 0, 0, 0, 2/7}, 
   {0, 0, 0, 5/7, 5/7, 1/7, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1/2, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {1/2, 1, 0, 0, 1, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1/2, 0, 0, 1, 1/2, 0, 1, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, {0, 0, 1, 1, 1/2, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1, 1, 0, 0, 0}, {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 1/2}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 0, 1, 1}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 1/3, 1/3, 0}, {0, 0, 0, 1/3, 0, 0, 1, 0}, 
   {0, 2/3, 0, 2/3, 1/3, 1, 0, 0}, {0, 0, 0, 0, 1/3, 1, 0, 2/3}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 2/3, 1, 0, 0, 1}, 
   {2/3, 0, 1/3, 0, 0, 1, 0, 0}, {0, 0, 2/3, 0, 1/3, 2/3, 2/3, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/9, 0, 0, 0, 0, 0, 4/9, 0, 4/9}, 
   {2/3, 0, 4/9, 4/9, 0, 0, 0, 0, 0}, {0, 4/9, 0, 0, 2/9, 4/9, 0, 0, 2/9}, 
   {0, 1/3, 0, 8/9, 2/3, 0, 0, 0, 5/9}, {8/9, 1, 0, 0, 0, 0, 2/9, 0, 5/9}, 
   {1/3, 0, 5/9, 2/9, 2/3, 0, 1/3, 7/9, 0}, {1/9, 0, 7/9, 0, 0, 2/3, 0, 2/9, 
    1/3}, {1/9, 0, 1, 0, 0, 2/3, 0, 0, 1/3}, {0, 1, 0, 2/9, 0, 0, 5/9, 1, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {1, 1, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 2/5, 0, 0, 3/5, 0, 3/5, 3/5}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 2/5, 4/5, 3/5, 1/5, 0, 3/5, 0, 0}, 
   {4/5, 0, 0, 0, 0, 2/5, 0, 0, 0}, {4/5, 0, 2/5, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 4/5, 0, 0, 2/5, 4/5}, {0, 2/5, 0, 0, 0, 3/5, 1, 0, 0}, 
   {2/5, 0, 0, 3/5, 3/5, 0, 0, 1, 1}, {0, 4/5, 2/5, 4/5, 0, 1/5, 1/5, 2/5, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1/2, 0, 1, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1/2, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1/2, 0, 1, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 1, 0, 1, 1/2, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1/3, 0, 0, 1, 0}, {0, 0, 1, 0, 1/3, 1, 0, 1/3}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 0, 1, 0, 1, 2/3, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {2/3, 0, 1/3, 0, 1/3, 0, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1}, {0, 1/2, 0, 0, 1/2, 1, 0, 1/2}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1/3, 1, 0, 0, 0, 0}, 
   {1, 1/3, 0, 0, 0, 0, 1, 1, 0}, {1, 1/3, 0, 0, 0, 0, 1/3, 0, 0}, 
   {1, 2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 1, 0, 0, 1}, {0, 2/3, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 1/3, 1/3, 0, 1/3, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1, 0, 1, 1/2, 0}, {1, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, {0, 1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1, 1, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 1, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, {0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, {1, 1/2, 0, 0, 1, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, {1/2, 0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1/3, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1/3, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 1, 0, 0, 0, 1}, {0, 2/3, 1/3, 0, 1/3, 1/3, 1/3, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/6, 0, 0, 1, 0, 1, 5/6, 0}, {5/6, 1/6, 5/6, 1/6, 1/6, 0, 1/6, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/3, 1}, {0, 2/3, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 1/6, 0}, {0, 2/3, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1/6, 0, 1/6, 0, 1/2, 1/6, 1/3, 0, 1/6}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/6, 
    1/2}, {0, 2/3, 0, 0, 0, 1/2, 1/2, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 1, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/6, 0, 1/2, 5/6, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/6, 1/3, 1/3, 0}, {0, 0, 0, 1/2, 1/3, 0, 1/2, 0}, 
   {2/3, 0, 1/2, 0, 5/6, 1/6, 0, 1/2}, {0, 1/3, 0, 1/6, 0, 0, 5/6, 0}, 
   {1/6, 0, 0, 1/6, 1/6, 1/2, 0, 5/6}, {5/6, 0, 1/2, 0, 2/3, 0, 1/6, 0}, 
   {0, 1/6, 1/6, 0, 0, 5/6, 0, 5/6}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 2/3}, {1/3, 1/3, 0, 0, 1, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 1/3, 0, 1, 2/3, 0, 0, 2/3}, 
   {1/3, 1, 0, 1/3, 0, 1, 0, 2/3, 0}, {0, 0, 1/3, 0, 1, 0, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 2/3, 0, 0, 2/3, 1/3, 0, 1/3}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1/3, 1, 0, 0, 0, 2/3, 1, 0}, 
   {0, 1, 1, 2/3, 0, 0, 1/3, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, 
   {0, 2/3, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 1/2, 1, 0}, {1/2, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1}, {1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 
    1/2}, {0, 0, 1, 1, 0, 1, 1/2, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 1, 1, 1/2, 0, 1/2, 0, 0}, {0, 1, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {1, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1, 0, 1}, {0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1/2, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1/2, 0, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1, 1/2, 0, 1/2}, 
   {1, 1, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {1, 1, 0, 0, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1/2, 1, 0, 1, 0, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 1, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 3/4, 0, 1/2, 0, 0}, 
   {0, 1/4, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1/4, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 3/4, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 1/2}, {0, 1/4, 1, 0, 0, 3/4, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1, 0, 1/4, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1/3, 0, 0, 1, 1, 0, 0, 0, 1}, {2/3, 1, 0, 0, 1/3, 1, 0, 0, 0}, 
   {1/3, 0, 2/3, 0, 0, 1/3, 0, 0, 1}, {1, 1/3, 0, 2/3, 2/3, 0, 0, 1, 0}, 
   {0, 1/3, 1/3, 1/3, 0, 0, 0, 2/3, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/5, 3/5, 1/5, 3/5, 0, 1/5, 0, 2/5, 0}, {0, 0, 0, 4/5, 1/5, 0, 0, 4/5, 
    0}, {0, 0, 4/5, 0, 1, 0, 4/5, 0, 0}, {0, 4/5, 0, 0, 3/5, 1, 1/5, 1, 0}, 
   {4/5, 0, 0, 1, 2/5, 0, 0, 0, 1}, {0, 0, 2/5, 1, 0, 4/5, 2/5, 0, 3/5}, 
   {0, 0, 0, 0, 2/5, 1, 0, 0, 1}, {0, 4/5, 0, 1, 1/5, 0, 1, 1/5, 0}, 
   {4/5, 0, 0, 0, 0, 1, 2/5, 0, 1/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/5, 2/5, 3/5, 0, 2/5, 2/5, 0, 0, 3/5}, {2/5, 4/5, 0, 3/5, 0, 1/5, 1/5, 
    0, 2/5}, {3/5, 0, 3/5, 2/5, 1, 0, 0, 0, 0}, {1/5, 0, 1, 2/5, 0, 1, 0, 0, 
    0}, {0, 3/5, 0, 0, 3/5, 0, 2/5, 2/5, 0}, {0, 2/5, 2/5, 0, 1/5, 1/5, 2/5, 
    2/5, 0}, {2/5, 1/5, 0, 0, 0, 2/5, 0, 0, 0}, {0, 0, 2/5, 2/5, 2/5, 0, 0, 
    0, 2/5}, {0, 0, 0, 1/5, 0, 2/5, 1/5, 2/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, {1/2, 0, 1, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 1/2, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 1}, 
   {0, 1/2, 0, 1, 0, 1/2, 1, 0, 0}, {1/2, 1/2, 0, 1, 0, 0, 0, 1/2, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 4/5, 0, 0, 0, 4/5}, 
   {0, 2/5, 0, 0, 4/5, 0, 2/5, 0}, {1/5, 0, 3/5, 3/5, 0, 0, 2/5, 0}, 
   {0, 1/5, 4/5, 0, 1/5, 0, 0, 4/5}, {0, 3/5, 0, 0, 1/5, 0, 2/5, 4/5}, 
   {1/5, 0, 0, 0, 1/5, 4/5, 2/5, 0}, {0, 1/5, 1/5, 1/5, 0, 4/5, 4/5, 0}, 
   {3/5, 0, 0, 0, 3/5, 2/5, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1/2, 1, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1, 0, 1}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 6/7, 0, 0, 2/7, 0, 2/7, 0}, {0, 2/7, 4/7, 2/7, 0, 0, 0, 0, 0}, 
   {0, 2/7, 0, 0, 0, 0, 6/7, 6/7, 0}, {4/7, 2/7, 1/7, 0, 0, 3/7, 4/7, 2/7, 
    0}, {1, 5/7, 0, 1/7, 3/7, 0, 0, 0, 0}, {0, 0, 1/7, 0, 2/7, 1, 6/7, 4/7, 
    0}, {1/7, 1/7, 0, 0, 0, 3/7, 0, 0, 6/7}, {0, 0, 1, 1, 5/7, 0, 0, 0, 0}, 
   {0, 0, 3/7, 3/7, 1/7, 0, 0, 0, 4/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 
    1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 0, 0, 1/3, 0, 2/3, 0, 1/3}, 
   {0, 0, 0, 1, 0, 1, 0, 1/3, 1/3}, {1/3, 0, 0, 1/3, 1/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 0, 0, 0, 0, 1, 2/3}, {0, 0, 0, 1/3, 0, 1/3, 0, 2/3, 2/3}, 
   {0, 2/3, 2/3, 1/3, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 1/3, 0, 1/3}, 
   {0, 0, 1/3, 0, 1, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 1/3, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 1/2, 0, 1/2, 1, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 1/2}, {0, 1/2, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 2/3, 0, 2/3, 0, 0, 0, 2/3}, {1/3, 1/3, 0, 1/3, 0, 1/3, 1/3, 0, 
    0}, {2/3, 0, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 0, 2/3, 1, 2/3, 0, 1/3, 0, 0}, 
   {0, 2/3, 1, 1/3, 0, 1/3, 0, 2/3, 0}, {1/3, 0, 0, 0, 1, 1/3, 0, 0, 1}, 
   {0, 0, 0, 2/3, 0, 1, 1/3, 0, 2/3}, {2/3, 1/3, 0, 1, 0, 0, 0, 1/3, 0}, 
   {0, 0, 0, 0, 2/3, 1/3, 1, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/3, 0, 1/3, 1, 0}, {2/3, 0, 0, 0, 0, 1, 0, 0, 1/3}, 
   {0, 0, 0, 2/3, 1/3, 0, 2/3, 0, 2/3}, {0, 2/3, 0, 0, 1/3, 2/3, 0, 0, 0}, 
   {0, 0, 0, 1, 2/3, 0, 0, 0, 1/3}, {0, 0, 2/3, 0, 1/3, 1/3, 1/3, 1/3, 0}, 
   {0, 0, 2/3, 1/3, 0, 0, 0, 2/3, 1/3}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/4, 1/2, 0, 3/4}, {0, 3/4, 0, 0, 3/4, 0, 0, 0, 0}, 
   {3/4, 0, 0, 0, 0, 1/4, 0, 1, 0}, {0, 0, 0, 3/4, 0, 1, 1/2, 1, 0}, 
   {3/4, 0, 0, 1/4, 1, 0, 0, 0, 1/4}, {0, 1/2, 3/4, 1/4, 0, 1/4, 0, 0, 1/4}, 
   {0, 0, 0, 3/4, 0, 1, 1/2, 0, 1/4}, {0, 0, 3/4, 1/4, 1/4, 0, 1/4, 3/4, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {1, 0, 1, 0, 1/2, 1, 0, 0, 1/2}, {0, 1/2, 1, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 2, 2}, {2, 2, 3}}}, {{{1/3, 0, 0, 2/3, 0, 1/3, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/3, 0}, {0, 0, 0, 2/3, 2/3, 1/3, 0, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 1/3, 0, 0}, {2/3, 0, 0, 0, 0, 1/3, 2/3, 0}, 
   {1/3, 0, 2/3, 0, 0, 1/3, 1/3, 0}, {0, 1/3, 2/3, 0, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 0, 1/3, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 1, 0, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 0, 1, 1/2}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 2/3, 1/3, 0, 1/3}, 
   {1/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/3, 0, 0, 0, 2/3, 0}, 
   {1, 0, 1, 0, 0, 1/3, 0, 1, 0}, {0, 1/3, 1/3, 2/3, 1/3, 0, 0, 0, 1}, 
   {0, 2/3, 0, 2/3, 0, 0, 1/3, 0, 1}, {0, 2/3, 0, 0, 2/3, 1, 0, 1/3, 0}, 
   {2/3, 0, 1, 0, 1/3, 0, 2/3, 0, 2/3}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, {1/3, 1/3, 0, 0, 0, 2/3, 1/3, 0, 1/3}, 
   {1/3, 1/3, 0, 0, 0, 0, 1/3, 0, 1}, {0, 0, 1, 2/3, 0, 0, 0, 1/3, 0}, 
   {0, 0, 1/3, 0, 2/3, 2/3, 1/3, 0, 1/3}, {1, 1/3, 0, 2/3, 2/3, 0, 0, 1, 0}, 
   {2/3, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 1/3, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1/3}, {0, 0, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {0, 0, 1/3, 0, 0, 1/3, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 0, 1/3, 1, 0}, {1/3, 0, 2/3, 0, 1/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/3, 0, 0}, 
   {0, 0, 1/3, 1/3, 0, 0, 1/3, 1}, {2/3, 0, 0, 2/3, 1, 0, 1/3, 1/3}, 
   {0, 2/3, 1, 1/3, 0, 1, 0, 0}, {0, 0, 0, 2/3, 1/3, 2/3, 1/3, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 2/5, 0, 4/5, 0}, 
   {0, 2/5, 0, 0, 4/5, 0, 2/5, 0, 0}, {2/5, 0, 3/5, 0, 1/5, 0, 4/5, 0, 2/5}, 
   {1/5, 1/5, 0, 1/5, 0, 1/5, 4/5, 0, 4/5}, {0, 0, 1, 2/5, 1, 0, 0, 2/5, 0}, 
   {0, 0, 1/5, 3/5, 0, 3/5, 0, 0, 2/5}, {0, 2/5, 1/5, 3/5, 0, 1, 0, 0, 0}, 
   {1, 3/5, 0, 0, 1/5, 0, 0, 4/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {1/3, 1/3, 2/3, 0, 1/3, 0, 0, 0, 0}, {1/3, 1/3, 0, 2/3, 1/3, 0, 0, 2/3, 
    0}, {0, 0, 1, 1/3, 0, 1/3, 0, 0, 0}, {2/3, 0, 1, 2/3, 1, 0, 0, 0, 0}, 
   {0, 2/3, 1/3, 0, 1/3, 0, 0, 2/3, 2/3}, {1/3, 1, 0, 1/3, 0, 1/3, 2/3, 0, 
    2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 1/3, 1/3, 1/3, 0, 0}, {1/3, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1/3, 2/3, 0, 0, 1/3, 1/3, 1/3, 0}, {0, 1/3, 0, 2/3, 0, 0, 1, 0, 2/3}, 
   {2/3, 0, 0, 0, 1, 1, 0, 0, 1/3}, {0, 0, 1, 1, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 0, 0, 1/3}, {0, 1/3, 0, 0, 1/3, 2/3, 0, 1/3, 0}, 
   {0, 1/3, 0, 0, 0, 2/3, 0, 2/3, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/2, 1, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1/2, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 1/2}, {0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 1/2, 1/2, 0}, {1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 1}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1/2, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1/2, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 1, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 1/2, 1, 0, 0, 0, 1/2}, {1/2, 1, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1, 1, 1, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 1, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 1}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 1, 1/2, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/3, 1/3, 0, 1/3, 1/3, 0, 0}, 
   {0, 0, 1, 0, 1/3, 2/3, 0, 1/3, 1/3}, {0, 1, 0, 1/3, 0, 0, 2/3, 0, 0}, 
   {0, 1, 0, 0, 2/3, 1/3, 0, 2/3, 2/3}, {1, 0, 1, 2/3, 0, 0, 1/3, 0, 0}, 
   {2/3, 0, 2/3, 1, 0, 1/3, 0, 0, 1/3}, {0, 0, 0, 0, 1/3, 0, 1, 0, 0}, 
   {0, 2/3, 0, 1, 0, 0, 0, 1/3, 0}, {1, 0, 0, 0, 2/3, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 4/5, 1/5, 0, 4/5, 0, 0, 0, 1/5}, 
   {1/5, 1, 0, 0, 4/5, 2/5, 1/5, 1/5, 0}, {0, 0, 3/5, 0, 0, 0, 0, 0, 1}, 
   {2/5, 0, 4/5, 0, 2/5, 0, 0, 0, 0}, {2/5, 0, 4/5, 0, 0, 0, 0, 2/5, 0}, 
   {0, 0, 0, 4/5, 0, 2/5, 2/5, 2/5, 0}, {0, 0, 1/5, 2/5, 0, 2/5, 1, 3/5, 0}, 
   {3/5, 1, 0, 0, 0, 0, 0, 0, 1/5}, {2/5, 0, 1/5, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1/2}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1, 0, 0, 0, 0, 1}, {0, 1/3, 1/3, 0, 0, 1/3, 1, 0, 1/3}, 
   {1/3, 0, 0, 0, 0, 1, 2/3, 1/3, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 2/3, 0, 0, 0, 0, 1/3, 0}, {0, 0, 0, 0, 2/3, 0, 1, 1, 0}, 
   {0, 1/3, 1/3, 0, 0, 0, 0, 0, 2/3}, {1/3, 0, 0, 1, 1, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 1/3, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 1/3, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 2/3, 0, 1/3, 2/3, 0, 1/3, 2/3}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {2/3, 0, 1/3, 0, 1/3, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 0, 1, 1/2, 1, 0}, {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1, 1, 0, 0, 1/2, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 1, 1/2}, {1, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1/3, 1/3, 0, 0, 2/3, 0, 2/3, 0, 1/3}, {2/3, 0, 0, 0, 1, 0, 1, 1/3, 0}, 
   {0, 0, 1/3, 1, 0, 0, 0, 0, 1/3}, {1, 0, 1/3, 0, 0, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 0, 2/3, 1, 1/3, 0}, {0, 2/3, 1/3, 1, 1, 0, 0, 2/3, 0}, 
   {1, 0, 0, 1, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 2/3, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 0, 0, 0}, {0, 0, 1/3, 0, 2/3, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/3, 0, 0, 2/3}, {1, 1/3, 0, 1/3, 1, 0, 0, 0, 0}, 
   {0, 2/3, 1/3, 0, 1, 2/3, 0, 0, 0}, {1, 1, 0, 1/3, 0, 1, 0, 0, 0}, 
   {0, 2/3, 1, 0, 1/3, 0, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {1, 1, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 1/2, 0, 0}, {1, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1, 1/2, 0, 1/2, 0}, {1/2, 1, 0, 1/2, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 1, 1/2, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1/2, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 1/5, 0, 4/5, 0, 1/5, 0, 3/5}, {3/5, 3/5, 0, 2/5, 0, 0, 0, 1/5, 
    0}, {2/5, 2/5, 0, 0, 2/5, 0, 2/5, 2/5, 0}, {0, 0, 4/5, 4/5, 0, 4/5, 0, 0, 
    0}, {4/5, 2/5, 0, 0, 2/5, 0, 0, 2/5, 0}, {0, 0, 1/5, 0, 0, 2/5, 2/5, 1/5, 
    2/5}, {0, 0, 1, 0, 2/5, 0, 0, 1/5, 0}, {1/5, 1/5, 0, 2/5, 0, 2/5, 3/5, 0, 
    3/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 9/10, 7/10, 3/10, 0, 0, 0, 1, 0}, 
   {3/10, 2/5, 7/10, 0, 1/5, 2/5, 3/10, 3/10, 0}, 
   {7/10, 3/10, 0, 0, 4/5, 3/10, 1, 0, 7/10}, {9/10, 0, 1/5, 3/10, 0, 1/2, 0, 
    0, 0}, {0, 3/10, 7/10, 0, 1/5, 0, 1, 0, 7/10}, 
   {4/5, 0, 0, 0, 1/5, 1/5, 0, 1/2, 3/10}, {0, 0, 1/10, 3/10, 1/10, 0, 0, 
    1/10, 3/10}, {0, 3/10, 0, 0, 1/10, 3/10, 0, 1/2, 0}, 
   {0, 1/10, 0, 1/2, 0, 0, 1/10, 0, 3/10}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, {0, 0, 1/2, 0, 0, 1, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1/2}, 
   {1/2, 0, 1, 1, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1, 0, 1/2}, {0, 1, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/3, 0, 2/3, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1/3, 1/3, 0, 2/3, 0}, 
   {1/3, 1/3, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 0, 0, 0, 1/3, 1/3, 2/3, 0, 2/3}, 
   {1/3, 0, 1, 0, 0, 0, 0, 1/3, 0}, {0, 0, 2/3, 0, 0, 1/3, 1/3, 0, 1/3}, 
   {0, 1/3, 0, 1/3, 0, 1/3, 1/3, 0, 1/3}, {2/3, 0, 1/3, 0, 0, 1, 2/3, 0, 0}, 
   {1/3, 1, 0, 1/3, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 1/2, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 2/3, 1/3, 0, 0}, {0, 1/3, 0, 0, 0, 1/3, 1}, 
   {2/3, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 0, 2/3, 0, 1, 1}, {1/3, 0, 1, 1/3, 1/3, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{1/3, 0, 0, 0, 2/3, 1/3, 1, 0}, {0, 1/3, 2/3, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 1/3, 2/3, 0, 0, 1, 1, 0}, {1/3, 0, 0, 2/3, 2/3, 0, 0, 1}, 
   {1, 0, 0, 0, 2/3, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 1, 1/2, 0}, {0, 0, 1/2, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, {0, 1, 0, 1, 0, 0, 2/3, 2/3, 0}, 
   {1, 0, 1/3, 0, 1/3, 1, 0, 0, 0}, {0, 1, 2/3, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/3, 1, 2/3, 2/3, 0}, {1, 0, 1/3, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1/3, 1/3, 0, 0, 2/3, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1, 1/2, 0}, {0, 1/2, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1, 1, 0, 1/2, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/4, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1, 0, 1/4}, {0, 0, 3/4, 1/4, 3/4, 0, 0, 1/2, 1/4}, 
   {0, 1/4, 1/4, 1/4, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 1/4, 0, 0}, 
   {0, 1/4, 0, 0, 0, 1/4, 0, 1, 3/4}, {1/4, 0, 0, 1/2, 0, 3/4, 0, 0, 0}, 
   {1, 3/4, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1/4}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/5, 0, 0, 4/5, 0, 0, 0}, {0, 0, 0, 0, 0, 2/5, 2/5, 2/5, 0}, 
   {0, 0, 2/5, 0, 0, 0, 4/5, 0, 0}, {0, 1, 1/5, 0, 2/5, 1/5, 0, 0, 4/5}, 
   {1, 0, 0, 1, 1, 0, 0, 4/5, 0}, {0, 1, 3/5, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 2/5, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 2/5, 0, 1/5, 0, 0, 4/5}, 
   {0, 1, 3/5, 1, 1, 0, 0, 4/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1}, {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1}, {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 0, 0, 0}, {0, 1/3, 1, 1/3, 0, 1, 0, 0, 2/3}, 
   {1/3, 0, 2/3, 0, 1, 2/3, 0, 0, 0}, {1, 0, 0, 2/3, 1, 0, 0, 2/3, 0}, 
   {0, 1/3, 1, 1/3, 1, 0, 0, 0, 2/3}, {1, 0, 0, 0, 0, 1, 0, 2/3, 0}, 
   {1/3, 0, 0, 0, 0, 1, 2/3, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 1, 1/2, 1, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 1, 1/2, 0}, {0, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 1/3, 0, 1/3, 1/3, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, {0, 2/3, 2/3, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 1/3, 1/3, 0, 0, 0, 1}, {0, 0, 0, 2/3, 1, 1/3, 1, 0}, 
   {0, 0, 0, 0, 1/3, 1/3, 1, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 1, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 0, 1/3, 0, 0, 0, 1/3, 1, 0}, {1/3, 2/3, 0, 1, 0, 2/3, 1/3, 0, 1/3}, 
   {0, 1/3, 0, 0, 1/3, 0, 0, 1/3, 1/3}, {0, 1/3, 0, 0, 2/3, 1/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0, 1}, {1/3, 0, 0, 1/3, 1/3, 0, 1/3, 0, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 1/3, 1/3, 1/3, 0}, {0, 1/3, 0, 0, 2/3, 0, 2/3, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 1, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1, 1, 1/3, 0}, {0, 2/3, 0, 1, 0, 0, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 0, 0, 0, 0}, {0, 1/3, 0, 0, 2/3, 2/3, 1/3, 0}, 
   {0, 0, 2/3, 0, 1/3, 0, 1/3, 1/3}, {0, 0, 1/3, 0, 2/3, 0, 1/3, 1}, 
   {0, 0, 2/3, 1, 0, 2/3, 1/3, 0}, {2/3, 1/3, 0, 0, 0, 0, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 1/2, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 1/2, 1, 0}, {0, 1/2, 0, 1, 0, 1/2, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 2/3, 0, 0, 0, 0, 1/3, 1/3}, 
   {1/3, 0, 0, 0, 2/3, 1, 2/3, 0, 0}, {0, 0, 1/3, 1/3, 1/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 1/3, 0, 1/3, 0, 0, 1/3}, {0, 0, 1/3, 0, 1/3, 1/3, 1, 0, 0}, 
   {1/3, 1/3, 0, 2/3, 1/3, 0, 0, 0, 0}, {0, 1/3, 0, 0, 1/3, 2/3, 0, 2/3, 
    2/3}, {0, 1/3, 0, 2/3, 1/3, 2/3, 0, 0, 0}, {1/3, 0, 0, 1, 0, 0, 2/3, 2/3, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1}, {1/2, 0, 0, 0, 1, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1, 1, 0, 0, 1/2, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1, 1/2, 1, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1}, {1, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 3/4, 0, 0, 1/2, 0, 0, 0}, {1/4, 1/2, 0, 1/2, 0, 0, 3/4, 1/4, 0}, 
   {0, 0, 3/4, 0, 1/4, 0, 0, 1/2, 1/4}, {1/4, 1/2, 0, 0, 0, 0, 0, 3/4, 1}, 
   {1, 1/2, 0, 0, 3/4, 0, 0, 0, 1}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/4, 0, 3/4, 1/4, 0, 0}, {3/4, 3/4, 0, 0, 0, 0, 1/4, 3/4, 0}, 
   {0, 0, 1/4, 0, 1/2, 1/2, 3/4, 0, 1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 1, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1, 0, 1, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 1/2, 1/2, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1/2, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1/2, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 1, 0, 1, 1/3, 0}, {0, 2/3, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 1, 1/3, 1/3, 0}, 
   {0, 0, 2/3, 0, 1, 1, 1/3, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 1, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {1/2, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 1, 1/2, 0, 0}, {1, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1, 1/2, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, {1, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 1, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 1/3, 0, 1/3, 1/3, 0, 1}, {0, 0, 0, 2/3, 1/3, 0, 1/3, 2/3}, 
   {0, 2/3, 0, 0, 1/3, 0, 1, 0}, {2/3, 0, 1/3, 1, 0, 1/3, 0, 1}, 
   {0, 0, 1/3, 0, 0, 2/3, 2/3, 0}, {0, 0, 1/3, 0, 2/3, 2/3, 0, 0}, 
   {0, 2/3, 1/3, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 1/2}, {0, 1, 0, 1/2, 1, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 
    1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 2/3, 2/3, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1/3, 2/3, 0, 2/3, 2/3}, {1, 0, 1, 1, 0, 1/3, 2/3, 2/3, 0}, 
   {0, 1, 0, 1, 0, 1/3, 2/3, 0, 0}, {1, 0, 1/3, 0, 1/3, 0, 0, 0, 2/3}, 
   {1, 0, 1/3, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {1, 1, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 1/2, 0, 1/2}, {0, 1, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 1, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/3, 1/3, 0, 2/3, 0, 0}, {0, 1/3, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 2/3, 0, 0}, {0, 1/3, 1/3, 1, 0, 0, 2/3, 0}, 
   {0, 1, 1/3, 1, 0, 0, 0, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 0, 2/3, 2/3, 0, 0, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 1/2, 1/2, 0, 1, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 1/2, 1/2, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{2/7, 0, 2/7, 0, 0, 0, 0, 2/7, 4/7}, 
   {0, 4/7, 0, 6/7, 0, 0, 0, 4/7, 0}, {4/7, 0, 2/7, 0, 2/7, 2/7, 0, 0, 2/7}, 
   {0, 1, 0, 0, 2/7, 1, 0, 0, 0}, {3/7, 0, 3/7, 5/7, 3/7, 0, 4/7, 0, 0}, 
   {2/7, 1, 0, 0, 0, 1, 0, 0, 0}, {5/7, 0, 1, 0, 0, 3/7, 0, 2/7, 0}, 
   {1/7, 0, 3/7, 0, 4/7, 3/7, 4/7, 2/7, 0}, {0, 5/7, 0, 5/7, 1, 0, 0, 0, 
    4/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 1, 1/2, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 
    0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1/2, 0, 1, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 1/3, 1, 0, 1, 1/3, 0}, 
   {0, 0, 2/3, 0, 0, 1, 0, 0, 1/3}, {0, 0, 2/3, 1, 1, 0, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 0, 1, 1, 1/3, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1, 0}, {1, 0, 1/2, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/5, 0, 0, 0, 0, 2/5, 4/5}, 
   {2/5, 4/5, 0, 0, 4/5, 0, 2/5, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 3/5, 0}, 
   {3/5, 1, 0, 4/5, 0, 0, 0, 0, 1/5}, {0, 0, 1, 0, 2/5, 0, 1, 1/5, 0}, 
   {0, 0, 3/5, 2/5, 0, 2/5, 2/5, 0, 1/5}, {3/5, 1/5, 0, 0, 0, 4/5, 3/5, 1/5, 
    0}, {2/5, 0, 3/5, 0, 0, 0, 0, 2/5, 1/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 2/3, 0, 0, 1/3}, {0, 2/3, 0, 1/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 1/3, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 1, 0, 0, 2/3, 0, 1, 1}, 
   {1, 1/3, 0, 2/3, 0, 0, 1/3, 0, 2/3}, {1, 1, 0, 0, 1/3, 0, 1, 0, 0}, 
   {0, 0, 1, 2/3, 0, 0, 1/3, 0, 0}, {1, 1, 0, 0, 0, 1/3, 0, 1, 2/3}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 0, 0, 2/3, 1, 0, 1/3}, {0, 1, 1, 1/3, 0, 0, 2/3, 0, 0}, 
   {1, 0, 0, 0, 2/3, 1, 0, 0, 1}, {0, 1, 0, 0, 1/3, 1/3, 0, 1, 1/3}, 
   {2/3, 0, 1/3, 0, 0, 0, 1, 1, 0}, {2/3, 0, 0, 1, 1/3, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/3, 0, 0, 1/3}, {1/3, 0, 0, 1, 0, 0, 0, 1/3, 0}, 
   {1/3, 0, 0, 0, 1/3, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 0, 1/2, 1}, {1/2, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 0, 0, 0, 1/3, 0}, 
   {0, 0, 0, 0, 1/3, 0, 0, 0, 0}, {1, 2/3, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 2/3, 0, 2/3, 1/3, 0, 2/3, 1/3, 0}, {0, 1/3, 1, 0, 1/3, 2/3, 0, 1/3, 
    1/3}, {1/3, 0, 1/3, 1/3, 0, 1/3, 1/3, 0, 1/3}, 
   {0, 1/3, 1, 2/3, 0, 0, 1/3, 0, 0}, {1, 2/3, 0, 0, 0, 2/3, 0, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {1, 1, 0, 1, 0, 1, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 3/5, 3/5, 0, 0, 1/5, 0, 2/5, 0}, 
   {1/5, 0, 2/5, 3/5, 1/5, 0, 2/5, 0, 0}, {0, 2/5, 0, 0, 0, 4/5, 4/5, 0, 0}, 
   {4/5, 0, 2/5, 2/5, 0, 0, 0, 2/5, 0}, {4/5, 0, 0, 2/5, 2/5, 0, 0, 0, 0}, 
   {3/5, 0, 0, 0, 2/5, 1, 0, 0, 2/5}, {1/5, 2/5, 0, 0, 0, 1/5, 0, 2/5, 4/5}, 
   {0, 1, 3/5, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 0, 0, 0, 2/5, 0, 0, 2/5}, {0, 2/5, 0, 2/5, 0, 4/5, 0, 0, 0}, 
   {0, 0, 4/5, 2/5, 0, 0, 2/5, 0, 0}, {0, 1, 0, 2/5, 0, 4/5, 0, 0, 1/5}, 
   {0, 3/5, 0, 0, 0, 2/5, 0, 2/5, 3/5}, {1, 0, 1/5, 2/5, 4/5, 0, 1/5, 1/5, 
    0}, {1, 0, 1, 0, 0, 4/5, 0, 0, 1/5}, {0, 1, 0, 4/5, 4/5, 0, 1/5, 1/5, 0}, 
   {0, 1, 0, 0, 4/5, 0, 1, 3/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 1/2, 1, 1, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1, 1}, {0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 1/2, 1/2, 1/2, 0}, {1, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 1, 0, 1/2, 0, 0}, {1/2, 0, 1, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 0}, {1, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 1, 0, 0, 2/3, 1, 0, 1/3}, {0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 2/3, 0, 2/3, 1/3, 0}, 
   {0, 1, 0, 0, 2/3, 0, 1, 0}, {1, 0, 2/3, 0, 2/3, 1/3, 0, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/5, 2/5, 0, 2/5}, {2/5, 0, 0, 0, 2/5, 0, 0, 0, 2/5}, 
   {2/5, 0, 2/5, 2/5, 0, 0, 2/5, 0, 0}, {0, 1, 0, 0, 3/5, 1/5, 0, 4/5, 0}, 
   {0, 1/5, 0, 3/5, 0, 0, 1/5, 1, 3/5}, {1/5, 0, 1, 1/5, 4/5, 0, 4/5, 0, 
    2/5}, {2/5, 1, 0, 1/5, 0, 0, 4/5, 0, 2/5}, {0, 1/5, 0, 3/5, 0, 4/5, 2/5, 
    0, 0}, {3/5, 0, 1, 0, 1/5, 3/5, 0, 4/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1}, 
   {1/2, 0, 1, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 3/7, 1, 0}, 
   {0, 4/7, 4/7, 3/7, 0, 1/7, 0, 2/7, 3/7}, {2/7, 2/7, 0, 5/7, 0, 1, 4/7, 0, 
    1}, {2/7, 2/7, 0, 0, 3/7, 0, 0, 2/7, 3/7}, {4/7, 0, 0, 2/7, 3/7, 0, 0, 0, 
    1/7}, {0, 0, 0, 3/7, 0, 1/7, 5/7, 3/7, 0}, {2/7, 2/7, 4/7, 0, 0, 2/7, 0, 
    0, 2/7}, {4/7, 0, 0, 4/7, 0, 6/7, 0, 4/7, 0}, 
   {0, 0, 0, 0, 4/7, 0, 4/7, 0, 6/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 0, 2/3, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 2/3, 1/3, 0, 2/3, 2/3, 0, 0, 1/3}, 
   {2/3, 0, 1, 0, 0, 0, 0, 0, 1}, {1/3, 1, 0, 0, 2/3, 0, 1/3, 1, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 2/3, 1/3, 0, 0, 0, 1/3, 2/3}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {2/3, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {2/3, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/3, 2/3, 0, 0}, 
   {1/3, 0, 0, 0, 0, 0, 1/3, 0, 1}, {0, 0, 0, 1, 0, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 0, 1/3, 1/3, 0, 1/3, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 3/4, 1/2, 0, 0, 1/4, 0, 0, 1/4}, 
   {1/4, 0, 0, 1/4, 0, 0, 0, 3/4, 0}, {0, 0, 0, 3/4, 1/2, 0, 1/4, 3/4, 0}, 
   {1, 0, 1/4, 0, 1/4, 1/4, 1/4, 0, 1/4}, {3/4, 1/4, 1/4, 1/4, 1/4, 0, 0, 0, 
    0}, {0, 1/2, 1/4, 0, 1/4, 3/4, 0, 0, 0}, {0, 1/4, 1/4, 0, 0, 1/4, 1/4, 0, 
    1/2}, {0, 0, 0, 1/4, 0, 0, 3/4, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0, 1/2}, {1/2, 1, 0, 1/2, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 0, 0, 1, 0, 0, 0, 2/3}, 
   {0, 0, 1/3, 1, 0, 1/3, 0, 2/3, 0}, {2/3, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 2/3, 1/3, 0, 1, 0, 0, 2/3, 0}, 
   {1/3, 1/3, 0, 1, 0, 1/3, 0, 0, 2/3}, {0, 0, 1/3, 0, 1, 2/3, 0, 2/3, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 4/5, 0, 0, 3/5, 0, 2/5, 1/5}, {0, 2/5, 0, 1, 1, 0, 3/5, 1, 0}, 
   {0, 0, 0, 2/5, 0, 1, 0, 0, 1}, {0, 0, 0, 3/5, 3/5, 0, 2/5, 0, 3/5}, 
   {2/5, 0, 2/5, 3/5, 1/5, 0, 0, 0, 1/5}, {4/5, 0, 0, 0, 0, 3/5, 3/5, 3/5, 
    0}, {0, 2/5, 0, 0, 2/5, 0, 0, 0, 2/5}, {0, 0, 0, 0, 4/5, 0, 0, 0, 2/5}, 
   {0, 2/5, 0, 0, 0, 2/5, 2/5, 2/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/5, 0, 2/5, 4/5, 0, 4/5, 0}, {4/5, 2/5, 0, 0, 0, 0, 4/5, 0, 0}, 
   {0, 0, 2/5, 4/5, 2/5, 0, 2/5, 0, 4/5}, {1/5, 3/5, 0, 1/5, 0, 0, 2/5, 4/5, 
    0}, {3/5, 3/5, 0, 3/5, 0, 0, 0, 4/5, 0}, {0, 0, 1, 0, 1/5, 1, 4/5, 0, 0}, 
   {1/5, 3/5, 0, 0, 1/5, 1/5, 0, 0, 4/5}, {0, 0, 1/5, 1/5, 0, 0, 0, 2/5, 
    4/5}, {0, 0, 1, 1, 2/5, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 0, 1, 0, 2/3, 0, 0, 0, 1/3}, 
   {1, 1/3, 0, 0, 0, 0, 1/3, 1, 0}, {0, 0, 1, 0, 0, 0, 2/3, 0, 1}, 
   {0, 0, 1/3, 1, 1/3, 1/3, 0, 2/3, 1/3}, {1, 1/3, 0, 2/3, 2/3, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 2/3, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 1, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 2/3, 2/3, 0}, {2/3, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, 
   {0, 1/3, 1, 0, 0, 0, 0, 0, 1}, {0, 1/3, 1/3, 2/3, 0, 2/3, 0, 0, 1/3}, 
   {1, 0, 0, 0, 0, 0, 1, 1/3, 0}, {0, 1, 1/3, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {1/3, 2/3, 0, 0, 0, 0, 0, 2/3, 1/3}, {1/3, 0, 0, 0, 0, 2/3, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 1/3, 1, 0, 0, 0, 2/3}, 
   {1, 0, 1/3, 0, 0, 1/3, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {0, 1, 0, 2/3, 0, 1/3, 0, 0, 0}, {0, 1, 2/3, 0, 0, 1/3, 0, 0, 0}, 
   {1/3, 0, 1/3, 1/3, 1, 0, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1, 1, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1, 0, 0}, {1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 1/2, 1, 0}, {1/2, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1, 1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1, 0, 1, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 1, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 1/2}, {1, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1/2, 0, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/5, 0, 0, 0, 0, 1, 0, 0, 1/5}, 
   {0, 0, 2/5, 3/5, 1/5, 0, 1, 1/5, 0}, {0, 2/5, 4/5, 0, 0, 1/5, 3/5, 1/5, 
    0}, {0, 0, 4/5, 0, 0, 1/5, 1, 1/5, 0}, {2/5, 0, 0, 1, 1, 0, 0, 0, 1/5}, 
   {0, 2/5, 0, 0, 0, 0, 0, 2/5, 4/5}, {0, 0, 0, 0, 0, 0, 0, 4/5, 4/5}, 
   {2/5, 4/5, 0, 0, 2/5, 2/5, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1, 1, 1, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 1, 1/2, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 4/7, 0, 0, 0, 2/7, 0}, {0, 6/7, 0, 0, 0, 0, 0, 0}, 
   {2/7, 0, 2/7, 5/7, 1/7, 4/7, 0, 1/7}, {4/7, 0, 0, 1, 3/7, 0, 0, 3/7}, 
   {0, 2/7, 5/7, 0, 0, 1, 1, 0}, {0, 0, 3/7, 0, 4/7, 0, 0, 1}, 
   {0, 4/7, 3/7, 0, 0, 0, 4/7, 1}, {2/7, 0, 0, 5/7, 5/7, 3/7, 1/7, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 2/3, 1, 0}, {1/3, 1, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 1/3, 0, 1}, {0, 0, 1, 0, 1/3, 0, 1/3, 2/3, 0}, 
   {2/3, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1/3, 0}, 
   {0, 1/3, 1/3, 1/3, 0, 0, 0, 0, 1}, {0, 0, 1/3, 0, 0, 0, 1/3, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 1, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1/2, 0, 0, 1/2, 1, 0, 1, 0, 0}, {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1, 0, 1/3, 1/3, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 2/3, 1/3, 0}, 
   {0, 0, 1/3, 0, 0, 1/3, 2/3, 0, 1}, {1/3, 1/3, 0, 0, 1/3, 0, 0, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 0, 1/3, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1/3}, 
   {0, 0, 0, 1, 0, 2/3, 0, 0, 1}, {1, 1/3, 0, 0, 1, 1, 0, 2/3, 0}, 
   {2/3, 0, 1, 1/3, 0, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/3, 1/3, 0, 0, 0, 1/3, 2/3, 2/3, 0}, {1/3, 1, 0, 2/3, 0, 1/3, 0, 2/3, 
    0}, {0, 0, 1, 1, 1/3, 0, 2/3, 0, 0}, {0, 0, 1, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 0, 1/3, 0, 2/3, 1, 0, 0, 0}, {1/3, 1, 0, 1/3, 1/3, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3, 2/3}, {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 2/3, 1/3, 0, 0}, 
   {0, 0, 0, 1/3, 1/3, 0, 0, 0, 2/3}, {0, 2/3, 2/3, 0, 2/3, 1, 0, 0, 1/3}, 
   {1/3, 0, 1/3, 1/3, 1/3, 0, 2/3, 0, 0}, {1/3, 0, 0, 0, 2/3, 0, 2/3, 1/3, 
    0}, {0, 1/3, 0, 2/3, 0, 1/3, 0, 1/3, 1/3}, {0, 1/3, 1/3, 2/3, 1/3, 0, 0, 
    2/3, 0}, {2/3, 0, 0, 0, 0, 1/3, 0, 2/3, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 1, 0, 0, 0, 0, 1}, {0, 2/3, 0, 0, 1, 1/3, 1, 1/3, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, {2/3, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 0, 0, 1, 0, 2/3, 1, 1/3, 0}, 
   {0, 0, 2/3, 1, 0, 0, 1, 1/3, 0}, {0, 0, 0, 0, 1, 1/3, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1/2, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 0, 0, 0, 1/3, 0}, {0, 0, 0, 1, 1/3, 1, 0, 1/3}, 
   {0, 0, 0, 1, 1, 0, 1, 2/3}, {2/3, 0, 1, 0, 0, 1/3, 0, 1/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1/2}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1}, 
   {0, 0, 1, 0, 1/2, 1/2, 1, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 1/3, 0, 2/3}, {1/3, 0, 0, 0, 1/3, 2/3, 0, 0, 1/3}, 
   {1/3, 1, 0, 1/3, 1/3, 0, 0, 0, 0}, {0, 0, 1/3, 1/3, 1/3, 0, 1/3, 1/3, 0}, 
   {2/3, 0, 2/3, 1/3, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 2/3, 0, 1, 0, 0}, 
   {0, 1/3, 0, 2/3, 0, 1, 1/3, 1/3, 0}, {0, 2/3, 0, 0, 0, 1/3, 0, 1, 2/3}, 
   {2/3, 0, 1, 1/3, 1/3, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 1/2, 1, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, {1, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1/2, 1, 0, 0, 1, 1, 0, 0, 0}, {1/2, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, {1, 0, 1, 0, 2/3, 0, 1/3, 0, 0}, 
   {0, 1, 0, 2/3, 0, 2/3, 0, 1/3, 1/3}, {0, 1, 0, 0, 0, 2/3, 0, 1/3, 1}, 
   {1, 0, 1/3, 0, 0, 2/3, 0, 1/3, 1/3}, {0, 1, 0, 0, 2/3, 0, 1/3, 0, 0}, 
   {1/3, 0, 1/3, 1/3, 1/3, 1, 1/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1, 1/2}, {0, 1/2, 0, 1/2, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 1, 1, 1, 1/2, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {1, 1/2, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 1, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1, 1/2}, {1, 1, 0, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1/3, 0, 0, 0, 2/3, 0, 1, 1, 0}, 
   {0, 1/3, 1, 0, 0, 2/3, 0, 0, 1}, {0, 1/3, 1/3, 2/3, 0, 0, 1/3, 1, 0}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 0, 0, 1/3}, {1, 2/3, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/3, 1/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 1/3, 2/3, 0, 2/3, 1/3, 0, 0}, {1/3, 1, 2/3, 0, 0, 0, 0, 0, 1/3}, 
   {0, 2/3, 1/3, 0, 0, 0, 2/3, 2/3, 0}, {0, 1/3, 0, 0, 1/3, 1/3, 2/3, 1/3, 
    0}, {2/3, 0, 1, 0, 1, 0, 0, 0, 1/3}, {0, 0, 0, 1/3, 0, 1/3, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 1/3, 0, 0, 1/3, 0}, {0, 0, 0, 0, 0, 1/3, 0, 1/3, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 1, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1, 0, 0, 1/3, 0, 0}, {0, 2/3, 0, 1/3, 2/3, 0, 0, 1/3}, 
   {0, 1/3, 0, 2/3, 2/3, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 1, 0, 1/3, 0}, {2/3, 0, 1/3, 0, 0, 0, 0, 1/3}, 
   {0, 0, 2/3, 1/3, 0, 1/3, 2/3, 0}, {1, 0, 0, 1/3, 0, 1/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 4/5, 1, 0}, 
   {0, 1, 3/5, 0, 0, 2/5, 4/5, 0, 0}, {3/5, 4/5, 0, 0, 1/5, 4/5, 0, 2/5, 0}, 
   {0, 0, 4/5, 2/5, 0, 0, 0, 1, 0}, {3/5, 0, 0, 0, 2/5, 0, 1/5, 0, 2/5}, 
   {0, 2/5, 0, 0, 4/5, 0, 0, 3/5, 0}, {0, 0, 0, 4/5, 0, 0, 1/5, 0, 1}, 
   {2/5, 0, 1, 0, 0, 2/5, 0, 0, 3/5}, {1, 0, 0, 1, 0, 1, 1/5, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1/3, 0, 0, 0, 1, 2/3}, 
   {0, 0, 2/3, 0, 1/3, 1/3, 1, 0, 1}, {0, 0, 0, 1, 2/3, 0, 0, 1, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 2/3, 0, 1/3, 0, 0, 1/3, 0, 1}, 
   {0, 0, 2/3, 0, 1/3, 1, 0, 1, 0}, {0, 0, 0, 0, 1/3, 1, 2/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 13/14, 13/14, 0, 0, 1/2, 1/14, 0, 0}, {0, 5/14, 13/14, 1/14, 1/14, 0, 
    0, 1/2, 1/2}, {1/2, 0, 0, 5/14, 9/14, 0, 5/14, 0, 6/7}, 
   {9/14, 0, 0, 0, 2/7, 1/7, 0, 5/14, 0}, {13/14, 0, 0, 0, 0, 1/7, 0, 5/14, 
    0}, {0, 1/2, 1/2, 1, 1, 0, 1/2, 0, 1/2}, {0, 2/7, 2/7, 0, 0, 1/2, 2/7, 0, 
    5/14}, {0, 0, 0, 5/14, 1/14, 0, 1/2, 1/2, 0}, 
   {0, 4/7, 0, 2/7, 0, 1/2, 0, 0, 1/14}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 5/13, 2/13, 0, 1, 4/13, 0, 0, 0}, {7/13, 0, 0, 2/13, 0, 0, 6/13, 0, 
    0}, {0, 0, 7/13, 11/13, 0, 6/13, 0, 0, 6/13}, 
   {3/13, 0, 4/13, 8/13, 6/13, 0, 0, 9/13, 0}, {11/13, 8/13, 0, 0, 4/13, 
    10/13, 0, 3/13, 0}, {0, 7/13, 9/13, 2/13, 0, 6/13, 0, 6/13, 0}, 
   {3/13, 7/13, 0, 8/13, 6/13, 0, 3/13, 0, 9/13}, 
   {2/13, 0, 11/13, 0, 1, 7/13, 0, 0, 6/13}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1/2, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, {1, 1/2, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/7, 0, 0, 0, 0, 2/7, 0, 0, 2/7}, 
   {0, 0, 0, 0, 2/7, 0, 2/7, 0, 0}, {0, 0, 2/7, 0, 1/7, 5/7, 4/7, 1, 0}, 
   {3/7, 5/7, 5/7, 3/7, 0, 0, 0, 1/7, 2/7}, {4/7, 2/7, 0, 3/7, 6/7, 0, 5/7, 
    0, 1}, {0, 2/7, 4/7, 0, 1/7, 3/7, 1/7, 0, 1}, 
   {2/7, 2/7, 0, 5/7, 2/7, 0, 0, 1, 0}, {0, 0, 0, 4/7, 1/7, 1, 1/7, 0, 3/7}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 1, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1, 1/2}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1, 1/2}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1/2, 0, 0, 0, 1, 1/2, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 1, 1, 1/2, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1/2, 1, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 4/5, 0, 0, 0, 0, 1/5, 2/5}, 
   {0, 0, 2/5, 2/5, 0, 0, 0, 1/5, 0}, {0, 0, 0, 4/5, 2/5, 0, 0, 1/5, 0}, 
   {2/5, 0, 0, 1/5, 3/5, 0, 0, 1/5, 1}, {2/5, 2/5, 0, 0, 2/5, 3/5, 1/5, 0, 
    0}, {0, 0, 0, 2/5, 2/5, 1/5, 1/5, 0, 4/5}, {2/5, 4/5, 0, 0, 0, 1, 0, 0, 
    1/5}, {1/5, 1/5, 1/5, 0, 0, 1/5, 3/5, 1/5, 0}, 
   {0, 0, 2/5, 1/5, 1/5, 0, 1, 3/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 2/3, 0, 1}, 
   {0, 0, 0, 0, 1, 2/3, 0, 1, 0}, {0, 0, 0, 1, 0, 2/3, 1/3, 0, 0}, 
   {0, 1/3, 2/3, 0, 1/3, 0, 0, 1/3, 0}, {0, 0, 1, 0, 0, 2/3, 1/3, 0, 0}, 
   {2/3, 2/3, 0, 0, 1, 1/3, 1/3, 0, 1/3}, {0, 0, 0, 1, 0, 1/3, 0, 1, 0}, 
   {1/3, 0, 0, 0, 1, 1/3, 2/3, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 1/2, 1, 1, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 1, 0, 1/3}, {1/3, 0, 1/3, 1/3, 0, 0, 1, 1/3, 0}, 
   {2/3, 1, 0, 0, 0, 0, 0, 0, 1/3}, {0, 0, 1, 0, 0, 0, 0, 1, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 1, 0, 0}, {0, 1/3, 0, 2/3, 1/3, 0, 1, 0, 0}, 
   {1/3, 0, 1, 0, 0, 2/3, 0, 0, 1/3}, {0, 0, 0, 0, 2/3, 2/3, 1/3, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 0, 0, 1, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 1/2, 1}, {0, 1, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 1/2, 1, 0, 0, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1/3, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1/3, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/3, 2/3}, {2/3, 2/3, 0, 2/3, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/3, 0, 0, 2/3}, {1, 2/3, 0, 1/3, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1/3}, {0, 0, 0, 0, 1, 0, 0, 1, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1/2, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 1, 1/3, 1/3, 0}, {2/3, 0, 1/3, 0, 0, 0, 0, 1/3}, 
   {0, 0, 1/3, 2/3, 2/3, 0, 1/3, 2/3}, {2/3, 0, 0, 1/3, 1, 1/3, 0, 1}, 
   {0, 2/3, 1/3, 0, 0, 0, 1/3, 0}, {0, 2/3, 0, 0, 0, 1/3, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 1/3, 0, 0}, {2/3, 0, 0, 0, 0, 1/3, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 1/3, 0, 0, 1, 0, 0, 0}, {0, 0, 1/3, 2/3, 0, 1/3, 0, 2/3, 0}, 
   {1, 1, 0, 1/3, 1/3, 0, 0, 0, 2/3}, {0, 0, 1, 1, 1/3, 0, 2/3, 0, 2/3}, 
   {1, 1/3, 0, 0, 0, 1, 0, 0, 0}, {1, 1/3, 0, 0, 0, 1/3, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1/3, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 2/3, 0}, {1/3, 2/3, 1, 0, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 2/3, 0}, {1/3, 0, 1/3, 0, 2/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/3, 0, 1/3, 1/3, 0, 2/3}, 
   {2/3, 1/3, 0, 1, 0, 0, 0, 0, 0}, {0, 1/3, 0, 0, 0, 0, 0, 1/3, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 1}, {1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1, 0}, {0, 1/2, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 1, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1, 0}, {0, 0, 1, 0, 1, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {1, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {0, 1, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 1, 0, 0, 1/3}, {0, 2/3, 0, 1, 1/3, 0, 1/3, 1, 0}, 
   {0, 0, 0, 1, 1/3, 0, 0, 2/3, 1/3}, {0, 0, 0, 1, 1, 0, 0, 0, 1/3}, 
   {0, 2/3, 0, 0, 0, 1/3, 1/3, 1, 0}, {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 2/3, 0}, {0, 1/3, 0, 1/3, 0, 1/3, 2/3, 0, 2/3}, 
   {1/3, 0, 1, 0, 1/3, 0, 0, 0, 2/3}, {2/3, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1/3, 0, 2/3, 1/3, 0, 0, 2/3, 0}, {2/3, 1/3, 0, 0, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 1/3, 1/3, 0, 1/3, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/3, 0, 1/3, 0, 0, 1/3, 1/3}, 
   {1/3, 1, 1/3, 0, 0, 1/3, 0, 0, 0}, {1/3, 0, 1/3, 1, 0, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 0, 0, 1/3, 0, 1/3, 2/3}, {1/3, 2/3, 0, 0, 1/3, 0, 0, 0, 2/3}, 
   {1/3, 0, 0, 0, 2/3, 2/3, 1/3, 0, 0}, {1/3, 0, 2/3, 0, 0, 0, 2/3, 0, 1/3}, 
   {1, 0, 2/3, 0, 2/3, 1/3, 0, 0, 0}, {0, 1/3, 0, 2/3, 0, 0, 2/3, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 2/3, 1/3, 0, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 1, 1/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 1/3, 0, 1/3, 1/3}, {1/3, 2/3, 0, 1/3, 1/3, 0, 1, 0, 
    0}, {0, 0, 0, 2/3, 0, 1/3, 1/3, 0, 1}, {1/3, 1, 0, 0, 1/3, 0, 0, 1/3, 1}, 
   {1, 0, 1, 2/3, 0, 0, 1/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/9, 2/9, 0, 0, 4/9, 5/9, 0, 7/9, 0}, 
   {0, 0, 4/9, 7/9, 5/9, 0, 1/9, 0, 5/9}, {0, 2/9, 0, 0, 0, 5/9, 4/9, 7/9, 
    0}, {2/9, 0, 4/9, 5/9, 7/9, 0, 0, 5/9, 0}, {2/9, 0, 0, 2/9, 0, 5/9, 1/3, 
    0, 7/9}, {0, 0, 2/9, 0, 0, 7/9, 5/9, 0, 1}, {2/9, 2/9, 0, 0, 2/9, 2/9, 
    4/9, 0, 0}, {0, 0, 2/9, 2/9, 0, 8/9, 0, 4/9, 0}, 
   {2/9, 4/9, 0, 0, 2/9, 0, 4/9, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {1/3, 0, 1/3, 0, 1, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {1, 0, 2/3, 1/3, 0, 0, 0, 2/3}, {1, 0, 0, 1, 0, 2/3, 0, 0}, 
   {0, 1/3, 1/3, 0, 1, 0, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 3/4}, {3/4, 0, 0, 3/4, 0, 0, 0, 0, 0}, 
   {0, 1/4, 3/4, 0, 3/4, 1/4, 3/4, 1/4, 0}, {0, 1, 0, 0, 0, 1, 3/4, 1, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1/4, 1, 0, 0, 1/2, 
    0}, {0, 1/2, 0, 3/4, 0, 1/2, 1/4, 0, 1}, {1/4, 0, 1, 0, 0, 1/2, 0, 1/2, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 1, 0, 0, 1/2}, {0, 1/2, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 1, 0, 0, 1, 1, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 1, 1}, 
   {0, 1/2, 0, 1, 0, 1/2, 1/2, 0, 1/2}, {1, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 1, 1/2, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 1/2, 1, 0, 1/2, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1/2, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 1, 1, 0}, {1, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 0, 1, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 1/2, 0, 1}, {1/2, 0, 0, 1/2, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1/2, 0, 1, 0, 0, 1, 1/2, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1/2, 1/2, 1, 0, 1/2, 0, 1}, 
   {1/2, 1, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 1/2, 1, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1/2, 1}, {1/2, 1/2, 0, 1, 0, 0, 1, 0, 0}, 
   {1/4, 0, 3/4, 0, 0, 1/4, 0, 1/2, 1/4}, {0, 0, 0, 0, 1, 0, 3/4, 1/2, 0}, 
   {1/2, 3/4, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 3/4, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/3, 2/3, 0, 1/3, 2/3}, {1/3, 0, 1/3, 1, 0, 2/3, 0, 0, 2/3}, 
   {1/3, 1/3, 0, 2/3, 1, 0, 0, 1, 0}, {0, 0, 0, 2/3, 1, 0, 1/3, 0, 1}, 
   {2/3, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1/3, 0, 1/3, 0, 1, 2/3, 2/3, 0}, 
   {0, 1/3, 1/3, 0, 0, 0, 1/3, 0, 1/3}, {1/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1, 1/2}, {1, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, {1, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 1, 0, 1, 2/3}, {1/3, 1/3, 0, 2/3, 1, 0, 2/3, 0, 0}, 
   {0, 1/3, 1, 1, 0, 1/3, 1/3, 0, 0}, {0, 0, 0, 1/3, 0, 0, 1/3, 0, 0}, 
   {0, 1/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, 
   {2/3, 0, 1/3, 1, 0, 0, 0, 2/3, 2/3}, {1, 2/3, 0, 0, 0, 1, 1/3, 0, 0}, 
   {0, 0, 1/3, 0, 1, 2/3, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 0, 1/2, 1}, {1/2, 0, 1, 1/2, 1, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1/2, 1/2, 1, 1, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 1/2, 1, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 0, 1, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1/3, 1/3, 0, 1/3, 0}, {0, 2/3, 0, 0, 2/3, 0, 0, 0, 1/3}, 
   {1/3, 0, 1/3, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 1/3, 2/3, 0, 1/3, 0, 0, 0}, 
   {1/3, 0, 2/3, 1/3, 1/3, 0, 1/3, 0, 1}, {0, 1/3, 0, 0, 1/3, 2/3, 1, 1, 0}, 
   {1/3, 0, 0, 1/3, 0, 1/3, 1/3, 0, 1/3}, {1/3, 1/3, 0, 0, 1/3, 1/3, 0, 0, 
    2/3}, {1/3, 0, 0, 2/3, 1/3, 0, 2/3, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, {1, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1}, {1, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {1, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, {0, 1/2, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {1, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1, 0, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 1, 1/2}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 1/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 1/3, 0, 0, 0, 2/3, 0}, {2/3, 2/3, 0, 0, 1, 2/3, 0, 0, 1/3}, 
   {2/3, 0, 2/3, 2/3, 1/3, 0, 0, 0, 1/3}, {0, 0, 0, 1/3, 0, 1, 1, 1/3, 0}, 
   {0, 0, 0, 0, 0, 1, 2/3, 0, 1}, {0, 2/3, 0, 2/3, 0, 1/3, 0, 0, 1}, 
   {0, 2/3, 0, 1/3, 1, 0, 1/3, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 
    1/2}, {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1/2, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 1, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1/2}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 1/2}, {1/2, 0, 1, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, {1, 1, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1, 0, 0, 1/3, 1, 0}, 
   {0, 0, 0, 1/3, 1, 0, 0, 1}, {0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, 
   {0, 0, 0, 1/3, 1/3, 1/3, 1, 0}, {2/3, 0, 1, 0, 0, 0, 0, 1/3}, 
   {0, 0, 1/3, 2/3, 0, 0, 2/3, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 1, 0, 0, 0, 2/3}, 
   {1/3, 0, 1/3, 0, 1, 2/3, 0, 0}, {0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {1/3, 0, 2/3, 1, 0, 0, 0, 0}, {0, 1/3, 1/3, 0, 1/3, 0, 2/3, 0}, 
   {1/3, 0, 0, 1/3, 0, 0, 2/3, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 0, 1/3, 0, 1/3, 0, 0, 0}, {0, 1/3, 1/3, 1/3, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 0, 0, 1/3, 0, 0, 2/3, 2/3}, {1, 0, 2/3, 2/3, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, {0, 0, 0, 2/3, 2/3, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 1, 0, 1, 0, 1/3}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 2/3, 1, 0, 1/3, 1, 0, 1/3}, {0, 0, 0, 1, 0, 1, 1, 0, 1/3}, 
   {2/3, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1/2, 1, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 2/3, 0, 1, 0, 0}, 
   {2/3, 1, 0, 0, 0, 0, 0, 1, 0}, {2/3, 0, 0, 1/3, 0, 1, 2/3, 0, 0}, 
   {1/3, 1/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 1/3, 0, 0, 0, 2/3}, 
   {1/3, 1, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 1, 2/3, 0, 1/3, 0, 2/3, 0}, 
   {1/3, 0, 1, 0, 0, 0, 0, 1, 1/3}, {1, 1, 0, 2/3, 1, 0, 1, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 1, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 3/4, 0, 0, 0, 1, 0, 3/4}, {3/4, 0, 0, 1, 1/4, 0, 0, 3/4, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/4, 0, 0, 1/4}, {0, 1, 1/4, 0, 0, 0, 1/4, 0, 1/4}, 
   {1/4, 0, 1/4, 0, 0, 0, 1/4, 1, 0}, {0, 1, 0, 0, 1/4, 0, 0, 0, 1/4}, 
   {1, 0, 1/4, 0, 0, 0, 3/4, 0, 1}, {0, 1, 3/4, 0, 0, 0, 1/4, 1, 0}, 
   {0, 1/4, 0, 0, 1/2, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1, 0, 1, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {1, 1, 0, 1/2, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 1/2, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/3, 0, 0, 0, 0}, {0, 1/3, 0, 0, 0, 1, 2/3, 1/3, 0}, 
   {0, 2/3, 2/3, 1/3, 0, 1, 0, 0, 0}, {1, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {1, 0, 1/3, 0, 1/3, 0, 0, 1/3, 0}, {2/3, 1, 0, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 1, 1/3, 0, 1/3}, {0, 1, 0, 2/3, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 1/2, 0, 1, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/3, 0, 2/3, 0}, {1, 0, 2/3, 0, 1/3, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 0, 0, 1/3, 1/3, 1}, {0, 1/3, 1/3, 0, 0, 0, 1/3, 0, 2/3}, 
   {1/3, 0, 1, 1/3, 0, 0, 0, 1/3, 0}, {1/3, 2/3, 0, 0, 1/3, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 1/3, 1/3, 0, 1/3, 0, 1/3}, {2/3, 0, 0, 0, 0, 1/3, 2/3, 2/3, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 2/3, 1/3, 0, 1/3, 0, 1/3, 0}, 
   {0, 2/3, 0, 0, 1, 0, 1, 0, 1}, {0, 2/3, 0, 0, 1/3, 0, 0, 1, 0}, 
   {0, 2/3, 0, 1, 0, 1, 1/3, 0, 1/3}, {2/3, 0, 0, 2/3, 1, 0, 2/3, 1/3, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 0, 0, 0, 3/5, 0, 1/5, 0}, {0, 2/5, 1/5, 3/5, 0, 1/5, 0, 1}, 
   {0, 2/5, 0, 2/5, 3/5, 0, 0, 1/5}, {0, 4/5, 0, 0, 3/5, 0, 0, 3/5}, 
   {0, 0, 3/5, 3/5, 0, 1/5, 3/5, 0}, {0, 2/5, 2/5, 0, 0, 3/5, 2/5, 0}, 
   {2/5, 0, 2/5, 0, 0, 1/5, 0, 2/5}, {0, 0, 0, 0, 0, 3/5, 4/5, 2/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 2/3, 0, 1, 0, 0}, 
   {1/3, 1/3, 0, 2/3, 0, 0, 0, 1, 1/3}, {0, 0, 1/3, 0, 2/3, 0, 0, 1, 1}, 
   {0, 1/3, 0, 1, 0, 2/3, 2/3, 0, 0}, {0, 1/3, 0, 2/3, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 0, 1/3, 2/3, 0, 0, 1/3}, {1/3, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 0, 0, 0, 0, 2/3, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1, 1}, 
   {1/2, 1, 0, 1/2, 0, 1/2, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 1, 1}, 
   {1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {1/2, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1/2}, {1, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 1, 1/2, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1/3, 1, 0, 1, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 1/3, 1/3, 0, 0, 0, 0, 2/3}, {2/3, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/3, 1, 0, 0, 1, 1/3, 0, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 1}, {1, 1, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1/2, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 1}, {1, 0, 1/2, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 2/3, 0, 1/3, 1/3}, {1, 1, 0, 1/3, 0, 1/3, 2/3, 0, 2/3}, 
   {0, 1/3, 1, 0, 1, 0, 0, 1/3, 0}, {0, 1/3, 0, 2/3, 0, 0, 0, 0, 1/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 2/3}, 
   {0, 0, 1, 2/3, 0, 1, 1/3, 0, 0}, {1/3, 0, 1/3, 0, 0, 2/3, 0, 2/3, 0}, 
   {1, 0, 0, 0, 1/3, 0, 1/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/7, 2/7, 2/7, 0, 0, 0, 0, 2/7}, {0, 0, 0, 2/7, 2/7, 0, 0, 0, 2/7}, 
   {2/7, 0, 0, 0, 4/7, 0, 0, 0, 0}, {4/7, 1, 0, 0, 2/7, 0, 0, 6/7, 1}, 
   {5/7, 0, 1, 2/7, 0, 0, 5/7, 1/7, 0}, {0, 3/7, 0, 0, 6/7, 6/7, 4/7, 0, 
    1/7}, {0, 3/7, 2/7, 4/7, 0, 4/7, 1/7, 1/7, 0}, 
   {0, 1, 0, 6/7, 0, 0, 1, 1/7, 0}, {1/7, 0, 1, 0, 0, 2/7, 0, 4/7, 5/7}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, {1/2, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1/2, 1/2, 1, 0}, {1/2, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0, 1/2}, {1, 0, 1/2, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 0, 0, 2/3, 0, 1/3}, 
   {1/3, 1/3, 0, 2/3, 0, 2/3, 0, 1/3, 0}, {0, 0, 1/3, 0, 1/3, 1/3, 0, 2/3, 
    0}, {1/3, 0, 0, 0, 0, 0, 1/3, 2/3, 0}, {1, 2/3, 0, 0, 0, 0, 1/3, 0, 0}, 
   {0, 0, 2/3, 1/3, 1/3, 0, 0, 0, 1/3}, {1/3, 0, 0, 0, 2/3, 0, 0, 2/3, 1/3}, 
   {0, 1/3, 2/3, 1/3, 0, 0, 1/3, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1/3, 1}, {0, 1/3, 0, 2/3, 0, 1/3, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0}, {2/3, 0, 0, 0, 2/3, 2/3, 2/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1/3, 0, 2/3}, 
   {1, 0, 2/3, 0, 0, 1/3, 0, 0}, {0, 1/3, 0, 0, 2/3, 0, 1/3, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 1, 0, 2/3, 0}, 
   {1/3, 0, 1, 1, 1/3, 0, 0, 0, 2/3}, {0, 1/3, 0, 1/3, 0, 2/3, 0, 0, 2/3}, 
   {0, 1, 0, 1/3, 2/3, 0, 0, 2/3, 0}, {1/3, 0, 1/3, 0, 1/3, 1, 0, 0, 0}, 
   {0, 0, 0, 2/3, 1/3, 0, 2/3, 0, 0}, {2/3, 0, 0, 2/3, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 2/3, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 1, 0, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 1, 1/2}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 1, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0, 1}, {1, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 2/3, 2/3, 0, 0, 1/3}, 
   {1, 0, 1, 0, 2/3, 0, 0, 0, 1}, {0, 1, 0, 2/3, 0, 0, 1/3, 1, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 1, 0, 0, 2/3, 0, 0, 0, 1}, 
   {1/3, 0, 1, 2/3, 0, 0, 1/3, 1, 0}, {0, 1, 0, 0, 0, 0, 2/3, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 1, 0, 1, 0, 1/2}, {1, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1, 1/2}, {0, 0, 1/2, 1, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1, 0, 1/2}, {1/2, 1/2, 0, 0, 1, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 1/3, 0, 0, 2/3, 0, 0}, 
   {1, 0, 0, 0, 0, 2/3, 0, 0, 1/3}, {0, 2/3, 1/3, 0, 0, 1/3, 1/3, 1/3, 0}, 
   {0, 1, 0, 0, 1/3, 1/3, 0, 1/3, 0}, {1/3, 0, 1/3, 1, 2/3, 0, 0, 0, 0}, 
   {2/3, 1, 0, 2/3, 1/3, 0, 1/3, 0, 0}, {0, 1/3, 1, 0, 0, 0, 0, 2/3, 1}, 
   {2/3, 0, 1, 0, 1/3, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1/3, 1, 0, 2/3, 0}, {1/3, 1, 0, 1/3, 0, 0, 0, 0, 0}, 
   {0, 0, 1/3, 1, 0, 0, 0, 2/3, 2/3}, {2/3, 0, 1, 1, 0, 0, 0, 0, 2/3}, 
   {1/3, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 2/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1, 1, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1/2, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 1, 1, 0, 1/3, 0, 1/3}, {0, 0, 0, 2/3, 2/3, 1/3, 0, 1/3, 2/3}, 
   {2/3, 2/3, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 2/3, 0, 0, 1, 1/3, 0, 1/3}, 
   {0, 0, 0, 0, 0, 1, 1/3, 0, 1}, {2/3, 0, 0, 1, 1/3, 0, 0, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/3, 0, 0, 1, 0}, 
   {0, 1/3, 1/3, 1, 0, 1, 0, 0, 0}, {2/3, 0, 1/3, 2/3, 0, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 1, 2/3, 0, 0, 0, 1}, {2/3, 0, 1/3, 2/3, 0, 1/3, 1, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 1, 0, 1}, {0, 2/3, 1/3, 0, 1/3, 0, 1, 0, 0}, 
   {0, 2/3, 0, 0, 1/3, 1, 0, 0, 0}, {1/3, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 1/2, 0, 1, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 2/3, 1, 0, 0}, {1/3, 0, 0, 2/3, 0, 2/3, 1/3, 1, 0}, 
   {0, 0, 1/3, 0, 1, 1/3, 0, 0, 0}, {0, 1/3, 1/3, 0, 2/3, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 1}, {1/3, 0, 0, 0, 0, 1/3, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 2/3, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1/3, 0, 2/3, 0, 0, 1/3}, {0, 0, 2/3, 0, 1/3, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/3, 0, 1/3, 2/3, 0}, {1/3, 1, 0, 1/3, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1/3, 1, 0}, {0, 0, 0, 1/3, 0, 2/3, 2/3, 0, 2/3}, 
   {2/3, 0, 1/3, 0, 1/3, 0, 0, 0, 1/3}, {1, 0, 1/3, 0, 2/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 1, 0, 1}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 1/2, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 0, 1, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1/2, 1, 1, 0, 0, 0, 1, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1/2, 0, 1/2, 1, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 1, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 1, 0, 1, 0, 0}, 
   {0, 2/3, 0, 1, 0, 0, 0, 1/3, 2/3}, {0, 0, 2/3, 1, 1, 0, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 1/3, 1/3, 2/3, 1/3, 0}, {1, 0, 2/3, 1, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 1/3, 1/3}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1}, {1/2, 1, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 3/4, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/4, 0, 3/4, 3/4, 0}, {1, 1/4, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1/4, 1, 0, 1/4, 0, 0, 3/4}, {1, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/4, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {0, 3/4, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/4, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/6, 1/6, 0, 5/6, 0, 0, 1/3}, {1/2, 0, 0, 1/2, 0, 1, 1/3, 0}, 
   {0, 0, 0, 2/3, 1/2, 1/6, 5/6, 0}, {0, 0, 5/6, 5/6, 0, 0, 0, 1/2}, 
   {2/3, 0, 0, 0, 1/2, 5/6, 1/6, 0}, {0, 1/2, 1/2, 0, 0, 1/6, 1/6, 0}, 
   {1/6, 0, 1/2, 0, 0, 0, 2/3, 1/2}, {0, 1/2, 0, 1/6, 1/6, 2/3, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/4, 0, 3/4, 0, 3/4, 0, 0, 0, 0}, 
   {0, 0, 0, 1/4, 0, 0, 3/4, 0, 0}, {1/2, 3/4, 1/4, 0, 3/4, 0, 0, 0, 3/4}, 
   {1/4, 0, 0, 3/4, 0, 1, 0, 1, 0}, {0, 0, 1/4, 1/2, 1, 0, 3/4, 0, 3/4}, 
   {0, 1/4, 1/4, 1/4, 0, 1, 0, 0, 3/4}, {1/4, 1/4, 0, 0, 1, 0, 0, 3/4, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/4, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/4, 1/2, 0, 1/4, 0, 0, 0, 1/4}, {0, 1, 3/4, 1/4, 0, 0, 0, 0, 0}, 
   {0, 0, 3/4, 0, 0, 0, 0, 0, 1}, {1, 0, 1/4, 0, 0, 0, 0, 1, 0}, 
   {1/2, 3/4, 0, 0, 1/4, 0, 1/4, 0, 0}, {0, 0, 0, 0, 3/4, 0, 3/4, 1/2, 0}, 
   {0, 1, 0, 1/4, 0, 1/4, 0, 1/4, 3/4}, {1/4, 0, 0, 1/2, 0, 3/4, 1, 0, 0}, 
   {1, 0, 1/4, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 1/2, 1, 1, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, 
   {1, 0, 1/2, 0, 0, 1, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 2/3, 0, 1/3, 0, 0}, {1/3, 0, 2/3, 0, 0, 0, 1, 1}, 
   {1/3, 0, 1/3, 0, 1/3, 2/3, 0, 0}, {0, 1, 0, 1/3, 0, 0, 2/3, 2/3}, 
   {0, 1/3, 0, 1/3, 2/3, 0, 0, 2/3}, {0, 0, 1, 0, 1/3, 1/3, 0, 0}, 
   {0, 0, 1/3, 0, 1/3, 1/3, 2/3, 0}, {2/3, 0, 0, 1/3, 0, 0, 1/3, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 1, 1/2, 0}, {0, 1/2, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 1, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 1, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1/3, 0, 0, 0}, {0, 0, 1/3, 1, 1, 0, 0, 1/3, 0}, 
   {0, 0, 0, 1, 0, 1/3, 0, 0, 1}, {0, 0, 0, 1, 0, 2/3, 1/3, 0, 0}, 
   {1, 0, 0, 0, 0, 2/3, 0, 0, 0}, {2/3, 0, 1/3, 0, 0, 0, 2/3, 1/3, 0}, 
   {0, 2/3, 0, 0, 1, 0, 0, 0, 1/3}, {0, 1/3, 0, 0, 1, 0, 0, 0, 2/3}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1/2, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1}, {0, 0, 0, 1, 0, 0, 1/2, 1, 0}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 0, 3/5, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 3/5, 0, 0}, 
   {4/5, 0, 0, 2/5, 2/5, 0, 4/5, 3/5}, {0, 2/5, 4/5, 0, 3/5, 0, 1/5, 0}, 
   {1/5, 0, 4/5, 0, 0, 2/5, 0, 1}, {2/5, 0, 2/5, 3/5, 0, 0, 1, 0}, 
   {0, 1/5, 0, 4/5, 4/5, 1/5, 0, 1/5}, {2/5, 0, 2/5, 0, 0, 0, 1, 3/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/5, 0, 0, 1, 0, 1/5, 3/5, 1, 0}, 
   {2/5, 4/5, 0, 0, 1/5, 0, 0, 0, 1/5}, {2/5, 0, 4/5, 0, 3/5, 0, 1/5, 1/5, 
    0}, {0, 0, 0, 1/5, 0, 1/5, 2/5, 0, 3/5}, {0, 4/5, 2/5, 0, 0, 0, 0, 2/5, 
    0}, {0, 0, 0, 0, 2/5, 4/5, 2/5, 4/5, 0}, {2/5, 0, 4/5, 0, 0, 0, 0, 0, 
    4/5}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 0, 1/5, 0, 4/5, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 4/5, 1/5, 0}, 
   {3/5, 0, 0, 0, 2/5, 0, 1/5, 1/5, 0}, {3/5, 0, 0, 0, 2/5, 0, 0, 4/5, 4/5}, 
   {0, 0, 0, 0, 1, 0, 0, 4/5, 4/5}, {0, 3/5, 0, 4/5, 0, 4/5, 1, 0, 0}, 
   {0, 0, 3/5, 4/5, 0, 4/5, 0, 1, 0}, {0, 3/5, 3/5, 4/5, 0, 1/5, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 4/5, 0, 1/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1, 0, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 1, 0}, {1, 0, 1, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 2/3, 0, 0}, {1, 0, 1, 2/3, 0, 0, 0, 1, 0}, 
   {1/3, 0, 1/3, 2/3, 0, 2/3, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1/3, 0, 2/3, 2/3, 0, 0, 1/3, 0}, {1, 0, 1/3, 0, 0, 0, 1/3, 0, 1}, 
   {0, 1/3, 0, 0, 2/3, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 1/2, 0, 1, 0, 1/2, 0}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 1, 0, 1/2, 0, 1/2, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/5, 0, 4/5, 0, 2/5}, {0, 2/5, 0, 0, 0, 0, 4/5, 0, 4/5}, 
   {4/5, 0, 0, 2/5, 4/5, 0, 0, 0, 0}, {0, 1/5, 1, 2/5, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 2/5, 3/5, 0, 3/5}, {1, 2/5, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 3/5, 1, 2/5, 0, 0, 1/5, 0, 3/5}, {1/5, 0, 0, 0, 0, 4/5, 0, 1, 0}, 
   {3/5, 4/5, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {1, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 4/7, 0, 2/7, 0, 1, 1/7, 0, 1}, {6/7, 4/7, 0, 1/7, 1/7, 0, 0, 1, 0}, 
   {3/7, 1/7, 1/7, 0, 0, 3/7, 0, 3/7, 4/7}, {0, 2/7, 6/7, 0, 0, 1/7, 4/7, 1, 
    0}, {4/7, 0, 4/7, 4/7, 0, 1/7, 0, 3/7, 2/7}, {0, 0, 0, 5/7, 1, 0, 1/7, 0, 
    1}, {0, 2/7, 6/7, 0, 4/7, 0, 0, 0, 0}, {0, 4/7, 0, 0, 2/7, 6/7, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 6/7, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 1, 1/3, 0, 0, 0, 0, 0, 1/3}, {1, 0, 2/3, 0, 2/3, 0, 1/3, 1, 0}, 
   {0, 1, 1/3, 2/3, 0, 0, 0, 0, 1}, {0, 1, 1/3, 0, 0, 0, 1/3, 1/3, 0}, 
   {1/3, 0, 0, 2/3, 0, 2/3, 0, 0, 1/3}, {1/3, 0, 2/3, 0, 0, 0, 2/3, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/5, 0, 0, 0, 0, 4/5, 0, 1/5, 0}, {0, 3/5, 1, 2/5, 0, 0, 1/5, 0, 1/5}, 
   {1/5, 0, 0, 0, 0, 0, 0, 1, 4/5}, {0, 3/5, 1, 0, 0, 0, 0, 1, 2/5}, 
   {1/5, 0, 0, 4/5, 4/5, 0, 1, 0, 1/5}, {0, 1/5, 3/5, 0, 4/5, 0, 2/5, 1/5, 
    4/5}, {0, 0, 0, 2/5, 0, 4/5, 4/5, 0, 2/5}, {4/5, 2/5, 0, 0, 0, 0, 0, 0, 
    0}, {2/5, 0, 0, 0, 0, 0, 2/5, 2/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1/2, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/9, 1/9, 0, 0, 4/9, 4/9, 0, 5/9, 0}, 
   {0, 0, 1, 0, 0, 2/9, 1/9, 0, 5/9}, {1/3, 5/9, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 4/9, 0, 0, 1/3, 0, 4/9}, {0, 1/9, 1/9, 2/9, 2/9, 0, 0, 7/9, 
    5/9}, {5/9, 4/9, 0, 4/9, 4/9, 0, 1/9, 0, 0}, {0, 1, 0, 0, 0, 2/9, 2/3, 0, 
    7/9}, {0, 1, 0, 0, 0, 4/9, 2/3, 0, 5/9}, {1/9, 0, 1, 0, 0, 0, 5/9, 1, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 2/3, 0, 1/3, 2/3, 0, 1/3, 0}, 
   {0, 2/3, 0, 1, 0, 2/3, 0, 0, 1}, {2/3, 0, 1, 1/3, 0, 0, 1, 1, 0}, 
   {0, 2/3, 0, 2/3, 1/3, 0, 1/3, 1/3, 0}, {2/3, 0, 1/3, 2/3, 0, 0, 0, 0, 
    2/3}, {2/3, 1/3, 0, 0, 0, 1/3, 1/3, 0, 0}, {0, 0, 2/3, 0, 1/3, 0, 0, 0, 
    1/3}, {1/3, 2/3, 0, 1/3, 0, 0, 2/3, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 
    1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 1, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 0, 1/2, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1, 0, 1/2, 1, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, {0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 2/3, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 2/3, 1/3}, {2/3, 0, 1, 1/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 1/3, 2/3, 0, 2/3, 1/3, 0, 1/3}, {1, 0, 2/3, 0, 0, 2/3, 0, 1/3, 
    1/3}, {0, 1, 0, 1, 2/3, 0, 0, 0, 0}, {1/3, 1, 0, 0, 0, 0, 1/3, 0, 0}, 
   {0, 0, 1/3, 0, 2/3, 0, 0, 1/3, 1/3}, {1/3, 0, 0, 1/3, 2/3, 0, 0, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 1/2, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 1/2, 1/2}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 1/4, 0, 1/4, 1/4, 0, 3/4, 3/4}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 1, 1/4, 0, 0}, {1/4, 0, 1/4, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 3/4, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1/3}, {1, 0, 1/3, 0, 1/3, 0, 1/3, 0, 0}, 
   {0, 1, 2/3, 0, 0, 0, 0, 1/3, 0}, {0, 0, 0, 1/3, 0, 1, 0, 0, 2/3}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 2/3, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 2/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 2/3, 2/3, 1/3, 0, 0, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 1/3, 1, 1, 1, 0}, {0, 0, 2/3, 1/3, 0, 0, 2/3, 0, 1/3}, 
   {2/3, 2/3, 0, 0, 1/3, 1/3, 0, 0, 1}, {2/3, 0, 0, 1, 0, 0, 1/3, 1, 0}, 
   {0, 0, 2/3, 1/3, 0, 2/3, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 1/2}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/3, 0, 0, 0, 0, 0, 2/3}, 
   {1/3, 0, 0, 1/3, 0, 0, 1/3, 0, 0}, {0, 0, 1/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 1/3, 1/3}, {1/3, 0, 0, 1/3, 2/3, 0, 2/3, 1, 0}, 
   {0, 2/3, 2/3, 0, 0, 1/3, 0, 0, 1}, {2/3, 0, 0, 1/3, 1/3, 1, 0, 0, 0}, 
   {0, 1/3, 1/3, 0, 0, 2/3, 1, 1, 0}, {1, 1, 0, 0, 1/3, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1/3, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1/3}, 
   {0, 1/3, 1/3, 2/3, 2/3, 0, 0, 0, 0}, {1/3, 1, 0, 0, 0, 0, 1, 0, 1/3}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 2/3, 0, 0, 2/3, 1, 2/3, 0}, 
   {2/3, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 1, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 2/3, 0, 1/3, 1/3, 1, 0, 0}, 
   {0, 0, 2/3, 0, 1/3, 1, 0, 1/3, 1}, {0, 2/3, 0, 1/3, 0, 0, 1, 0, 2/3}, 
   {2/3, 2/3, 0, 1/3, 0, 0, 1, 0, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 1, 0, 0, 1/2, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 2/3, 1, 0, 1/3, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 0, 1/3, 1/3, 1/3, 0}, {1, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 1, 0, 1/3, 0, 0, 1, 0}, {0, 0, 1, 1/3, 0, 1, 0, 0, 1/3}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1/3, 1/3, 0, 0, 1/3, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, {0, 2/3, 0, 0, 0, 2/3, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 2/3, 0, 1/3, 0, 1}, 
   {0, 1/3, 0, 0, 2/3, 0, 1/3, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 2/3, 0, 2/3}, 
   {0, 1/3, 0, 2/3, 0, 1/3, 0, 1}, {1, 0, 2/3, 0, 0, 0, 1/3, 0}, 
   {1, 0, 0, 0, 0, 0, 1/3, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 0, 1, 1/3, 0, 1}, {0, 0, 0, 1/3, 1, 0, 0, 1, 0}, 
   {2/3, 1/3, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 0, 1/3, 0, 0, 2/3, 0, 0}, {0, 1/3, 0, 1/3, 1, 0, 1/3, 0, 1}, 
   {0, 0, 0, 2/3, 0, 1, 1/3, 1, 0}, {0, 1/3, 2/3, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/9, 0, 2/9, 7/9, 2/9, 0, 0, 0, 1/9}, 
   {8/9, 8/9, 0, 0, 1/9, 1/3, 1, 1/9, 0}, {0, 0, 4/9, 1, 0, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 4/9, 2/3, 0, 8/9, 2/9}, {2/3, 8/9, 0, 2/3, 0, 0, 0, 2/9, 0}, 
   {0, 0, 8/9, 0, 2/3, 8/9, 0, 0, 0}, {0, 2/9, 0, 0, 5/9, 7/9, 0, 0, 7/9}, 
   {0, 0, 2/3, 1/9, 2/9, 0, 1/3, 1/9, 0}, {0, 0, 8/9, 1/9, 0, 0, 5/9, 1/3, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2/3, 0, 1, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 1/3, 1}, {1/3, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1/3, 0, 2/3, 0}, {1/3, 0, 2/3, 0, 1/3, 0, 1/3, 0, 0}, 
   {2/3, 0, 0, 1/3, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 2/3, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 1/5, 0, 2/5, 0, 0, 0, 1/5}, {0, 1, 1/5, 0, 0, 0, 0, 0, 1/5}, 
   {1/5, 0, 0, 2/5, 0, 0, 1, 1/5, 0}, {0, 1/5, 3/5, 0, 2/5, 2/5, 3/5, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 3/5, 1}, {0, 3/5, 1, 0, 2/5, 0, 3/5, 0, 0}, 
   {1, 1/5, 3/5, 0, 0, 0, 1/5, 0, 1/5}, {4/5, 2/5, 0, 0, 0, 0, 4/5, 1/5, 0}, 
   {0, 0, 4/5, 2/5, 0, 2/5, 0, 3/5, 2/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1}, {2/3, 0, 1/3, 0, 1, 1/3, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 2/3, 1/3, 0, 1, 0, 1/3, 1/3}, {0, 0, 0, 1/3, 2/3, 1/3, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 2/3, 0, 0, 1/3}, 
   {1/3, 0, 1/3, 1, 0, 1, 0, 2/3, 2/3}, {1/3, 0, 0, 0, 2/3, 0, 1, 1/3, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 2/3, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0, 2/3}, {1/3, 0, 1, 0, 1/3, 0, 0, 0, 1/3}, 
   {0, 1/3, 1/3, 0, 0, 0, 2/3, 1/3, 0}, {0, 1/3, 0, 1/3, 0, 2/3, 2/3, 0, 
    1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 2/3, 1, 0, 2/3, 0, 1/3}, 
   {0, 0, 1, 0, 1/3, 1/3, 1, 0}, {0, 0, 0, 1, 2/3, 1, 1, 0}, 
   {0, 0, 1, 0, 1/3, 2/3, 0, 1}, {1/3, 1, 0, 1/3, 0, 0, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 1, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1}, {1/2, 0, 1, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1, 1, 1, 1, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 3/4, 3/4, 0, 1}, 
   {3/4, 0, 3/4, 1/4, 1/4, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1/4, 1, 0}, 
   {0, 3/4, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/4, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 3/4, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/4, 1, 0}, 
   {0, 3/4, 0, 1, 0, 1/4, 1/4, 0, 1/2}, {0, 0, 0, 0, 0, 0, 1/4, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 1, 1, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 
    0}, {0, 0, 1, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 1, 1, 1, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 1}, {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1/3, 0, 2/3, 0, 1/3, 0, 2/3, 2/3}, 
   {2/3, 1/3, 0, 0, 0, 1, 0, 2/3, 0}, {0, 1/3, 2/3, 1/3, 1/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 1, 0, 0, 1/3, 0, 0, 2/3}, {0, 1/3, 0, 1, 1/3, 0, 2/3, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {1, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 0, 1, 1/2, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 1, 0, 1}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 2/3, 0, 0, 1}, {1, 0, 2/3, 2/3, 0, 1/3, 1, 0}, 
   {0, 1/3, 0, 2/3, 2/3, 2/3, 0, 1/3}, {1, 0, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 1, 2/3, 0, 0, 1, 1, 0}, {1/3, 0, 0, 2/3, 0, 2/3, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 1/2, 1, 0, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1/2, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 1, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 1/3, 0, 0, 0, 1/3}, {0, 0, 1/3, 0, 1/3, 1/3, 1, 0}, 
   {0, 0, 0, 1, 2/3, 1/3, 1, 0}, {0, 2/3, 0, 1/3, 0, 1/3, 1/3, 0}, 
   {0, 0, 1, 0, 1/3, 2/3, 0, 1}, {0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 2/3, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 0, 1/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 1/3, 0}, {0, 2/3, 0, 1/3, 0, 1/3, 0, 0}, 
   {0, 0, 2/3, 1, 0, 1, 2/3, 0}, {0, 2/3, 1/3, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 1/3, 0, 0, 2/3, 1}, {1/3, 0, 0, 0, 0, 0, 1/3, 1}, 
   {2/3, 0, 1/3, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1, 0, 1/2, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {1, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1/2, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 2/3, 0, 1, 0}, {1/3, 0, 0, 2/3, 2/3, 0, 1/3, 0}, 
   {0, 1, 0, 0, 0, 1/3, 0, 1/3}, {0, 1, 0, 0, 2/3, 0, 1/3, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 1/3, 2/3}, {1, 0, 2/3, 0, 0, 1/3, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 1, 0, 1/2}, {1/2, 0, 1, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/4, 0, 3/4, 0, 0, 1/4, 1}, 
   {0, 3/4, 0, 1/2, 0, 1/4, 0, 0, 1/4}, {3/4, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 3/4, 1/4, 0, 0}, {1/4, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1/4, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 1/4, 0, 1, 1, 0, 0, 0, 1/4}, 
   {3/4, 0, 1, 0, 0, 0, 0, 1/4, 0}, {0, 0, 0, 0, 1, 1/4, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 0, 0, 1/2, 1, 1/2}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/3, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 2/3, 0, 2/3, 2/3, 0, 0, 1/3}, 
   {0, 1, 0, 1/3, 0, 0, 2/3, 2/3, 0}, {0, 0, 2/3, 0, 1, 0, 2/3, 0, 0}, 
   {1, 0, 1/3, 1, 1/3, 0, 0, 0, 0}, {0, 0, 2/3, 1, 0, 0, 1/3, 1, 0}, 
   {0, 1, 0, 0, 1/3, 1, 0, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 2/3}, {1, 0, 0, 2/3, 2/3, 0, 1/3, 0, 0}, 
   {2/3, 0, 1/3, 0, 1/3, 0, 1/3, 0, 1/3}, {0, 0, 0, 0, 1/3, 1, 2/3, 1/3, 0}, 
   {0, 1, 0, 1/3, 1/3, 0, 0, 1/3, 0}, {1/3, 1, 0, 1/3, 0, 0, 0, 0, 1/3}, 
   {0, 0, 1, 2/3, 2/3, 0, 0, 0, 0}, {2/3, 1/3, 0, 0, 0, 2/3, 0, 1/3, 1/3}, 
   {2/3, 0, 0, 2/3, 0, 1, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 0, 1, 1/2}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 1, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 0, 1, 2/3, 0, 0}, 
   {0, 1/3, 0, 1, 0, 0, 2/3, 0}, {0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3}, {1/3, 0, 0, 1, 0, 2/3, 0, 2/3}, 
   {0, 1/3, 1, 0, 1, 0, 2/3, 0}, {1, 0, 0, 1, 0, 2/3, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2, 1}, {1, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 1, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/3, 1, 0, 0, 1/3, 0}, 
   {2/3, 0, 0, 0, 0, 1/3, 1, 0, 1/3}, {0, 2/3, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {2/3, 0, 2/3, 0, 2/3, 1, 0, 1/3, 0}, {0, 0, 2/3, 0, 0, 1, 0, 1/3, 2/3}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1/3, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 1/3, 2/3, 0, 0, 0, 1, 2/3, 0}, 
   {0, 0, 2/3, 0, 1/3, 0, 1, 1/3, 0}, {0, 0, 0, 0, 1/3, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/3}, {1/3, 0, 0, 0, 0, 1, 1/3, 0, 0}, 
   {0, 0, 0, 1/3, 0, 2/3, 0, 1/3, 2/3}, {2/3, 2/3, 0, 1/3, 1/3, 0, 0, 0, 0}, 
   {0, 0, 1/3, 0, 0, 2/3, 0, 2/3, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1/2, 1}, {0, 0, 0, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 1, 0, 2/3, 1/3, 0, 0}, {0, 0, 2/3, 1/3, 0, 0, 1/3, 0, 2/3}, 
   {0, 0, 0, 0, 1, 1/3, 0, 1/3, 1}, {0, 2/3, 0, 0, 1/3, 1/3, 1, 0, 0}, 
   {0, 2/3, 0, 1, 0, 2/3, 0, 1/3, 1/3}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 3/5, 0, 0, 3/5, 0, 0, 2/5}, 
   {1/5, 0, 0, 1/5, 3/5, 0, 0, 2/5, 0}, {0, 1, 1, 3/5, 3/5, 0, 0, 2/5, 0}, 
   {1, 0, 0, 4/5, 0, 1, 0, 0, 2/5}, {1, 0, 0, 2/5, 0, 3/5, 2/5, 0, 2/5}, 
   {4/5, 0, 0, 0, 2/5, 0, 0, 0, 0}, {0, 0, 2/5, 0, 0, 0, 4/5, 0, 4/5}, 
   {0, 0, 2/5, 0, 0, 4/5, 2/5, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 1/3, 0, 1/3, 1, 1/3, 0}, 
   {0, 1, 0, 0, 1/3, 2/3, 0, 1/3, 0}, {1/3, 0, 1, 2/3, 2/3, 0, 1/3, 0, 0}, 
   {1/3, 1, 0, 2/3, 0, 0, 1/3, 0, 0}, {0, 1, 0, 2/3, 0, 0, 1/3, 0, 1/3}, 
   {1/3, 0, 1, 0, 0, 2/3, 0, 1/3, 1}, {0, 0, 0, 2/3, 1/3, 0, 0, 2/3, 1/3}, 
   {2/3, 0, 0, 0, 1/3, 0, 0, 0, 1/3}, {1/3, 0, 2/3, 1/3, 0, 0, 0, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 1/4, 0, 1/4}, {0, 0, 3/4, 1/2, 0, 0, 0, 1/4, 1/4}, 
   {1/4, 1/4, 0, 0, 1/4, 1, 1/4, 1/4, 0}, {1/4, 3/4, 0, 0, 1/4, 0, 0, 1/2, 
    1/2}, {3/4, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 
    0}, {1/2, 0, 3/4, 0, 0, 1, 0, 0, 1/4}, {1/2, 3/4, 0, 1/2, 1/4, 0, 1/4, 0, 
    0}, {0, 3/4, 0, 1/2, 1/2, 0, 3/4, 0, 1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1, 0, 0, 1/2, 1, 0}, {0, 1/2, 1, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 4/5, 0, 0, 0, 0, 2/5, 0}, {2/5, 0, 0, 4/5, 2/5, 0, 2/5, 0, 0}, 
   {3/5, 3/5, 0, 0, 0, 3/5, 0, 0, 2/5}, {1, 1/5, 0, 0, 2/5, 1, 0, 0, 0}, 
   {0, 2/5, 1, 1, 3/5, 0, 0, 0, 0}, {0, 0, 3/5, 2/5, 0, 3/5, 2/5, 0, 2/5}, 
   {1, 3/5, 0, 1/5, 1/5, 0, 0, 2/5, 0}, {0, 4/5, 1/5, 0, 2/5, 1, 2/5, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 1/3, 2/3, 0, 1/3, 0, 0}, 
   {0, 2/3, 2/3, 1, 0, 2/3, 0, 0, 0}, {1, 0, 1/3, 0, 1/3, 0, 0, 1/3, 0}, 
   {1, 0, 0, 2/3, 0, 1/3, 2/3, 0, 0}, {2/3, 1/3, 0, 2/3, 1/3, 0, 0, 1/3, 0}, 
   {0, 1, 2/3, 0, 1, 1/3, 0, 0, 1/3}, {0, 0, 0, 0, 0, 2/3, 0, 1/3, 2/3}, 
   {1/3, 0, 0, 0, 1/3, 2/3, 0, 0, 1/3}, {0, 2/3, 1, 0, 0, 0, 0, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 3/11, 1/11, 0, 0, 6/11, 7/11, 2/11, 0}, 
   {0, 1/11, 3/11, 0, 4/11, 4/11, 3/11, 0, 0}, {7/11, 0, 0, 0, 8/11, 0, 0, 
    3/11, 7/11}, {0, 6/11, 4/11, 4/11, 4/11, 0, 4/11, 2/11, 0}, 
   {4/11, 0, 0, 8/11, 0, 8/11, 0, 0, 0}, {0, 4/11, 0, 4/11, 0, 6/11, 4/11, 0, 
    4/11}, {5/11, 0, 2/11, 2/11, 6/11, 0, 3/11, 0, 2/11}, 
   {7/11, 0, 0, 2/11, 10/11, 0, 3/11, 2/11, 0}, {0, 3/11, 3/11, 0, 0, 0, 0, 
    9/11, 7/11}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 1/2, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 0, 1}, {0, 1, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 1/2, 1, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 1/4, 1/2, 0, 1/2, 1/4, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 3/4, 0}, {0, 0, 1/2, 0, 1/4, 1/4, 3/4, 0, 1/4}, 
   {1/2, 0, 0, 0, 0, 1, 1, 1/4, 0}, {0, 0, 0, 1/2, 1, 0, 0, 3/4, 1}, 
   {0, 1/2, 0, 3/4, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {0, 1/4, 0, 1/4, 1/4, 1/4, 1/4, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 0, 0, 0, 0, 1/3, 0}, 
   {1/3, 0, 0, 2/3, 0, 0, 1/3, 0, 1}, {0, 0, 1, 0, 2/3, 0, 1/3, 0, 1/3}, 
   {1/3, 1/3, 0, 0, 2/3, 2/3, 0, 1/3, 0}, {1, 1/3, 0, 0, 0, 0, 2/3, 1, 0}, 
   {0, 1/3, 0, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 1/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1/2, 1, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 1, 1/3, 0, 0}, {0, 2/3, 1/3, 1, 0, 1, 0, 1/3, 0}, 
   {1, 0, 0, 0, 1, 0, 2/3, 0, 1}, {1/3, 1, 0, 2/3, 0, 2/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 0, 1/3, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 2/3, 0, 1/3, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/7, 0, 4/7, 0, 0, 0, 2/7, 6/7, 0}, {0, 0, 0, 2/7, 6/7, 0, 0, 0, 2/7}, 
   {3/7, 5/7, 0, 2/7, 0, 4/7, 0, 1/7, 0}, {0, 0, 1/7, 4/7, 0, 4/7, 3/7, 0, 
    5/7}, {5/7, 1, 0, 0, 0, 0, 4/7, 5/7, 0}, {0, 0, 1/7, 0, 0, 2/7, 2/7, 1/7, 
    2/7}, {1/7, 1/7, 0, 2/7, 0, 2/7, 1/7, 0, 3/7}, 
   {0, 0, 5/7, 0, 2/7, 0, 0, 3/7, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 1/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 2/3, 2/3, 1, 0, 0}, {2/3, 0, 1, 0, 1/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 0, 0, 0, 1/3, 1}, {1/3, 0, 0, 0, 1/3, 0, 0, 0, 1}, 
   {1/3, 1, 0, 0, 0, 0, 1, 1/3, 0}, {0, 0, 0, 1, 0, 1/3, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1/3, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1, 0, 1/2, 0}, {0, 1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1, 1, 0, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/3, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/3, 1, 2/3, 0, 1, 1/3, 0, 0}, {1/3, 0, 0, 0, 1/3, 1/3, 0, 1, 1}, 
   {1/3, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 2/3, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/3, 1, 0, 1/3, 1/3, 1/3, 0, 2/3}, {0, 0, 1, 0, 1, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 1, 1}, {1/2, 0, 1, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1, 1/2}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1/2, 0, 1}, 
   {0, 1/2, 0, 1, 1, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 0, 0, 0, 0, 1, 0, 1/3}, 
   {0, 0, 1/3, 0, 2/3, 0, 0, 1/3, 0}, {0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 2/3, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 2/3, 0, 2/3, 1/3, 0, 1/3}, 
   {1, 1, 0, 2/3, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/5, 1/5, 1, 0, 0, 4/5, 0}, {1, 3/5, 0, 0, 0, 1, 2/5, 0, 0}, 
   {0, 0, 1, 1/5, 1, 0, 0, 0, 0}, {4/5, 2/5, 0, 0, 0, 2/5, 0, 0, 2/5}, 
   {2/5, 2/5, 0, 0, 0, 0, 2/5, 0, 2/5}, {0, 0, 2/5, 4/5, 0, 0, 0, 2/5, 0}, 
   {0, 0, 1, 2/5, 0, 1, 0, 0, 2/5}, {0, 2/5, 3/5, 0, 0, 1, 0, 2/5, 0}, 
   {3/5, 3/5, 0, 1, 1, 0, 2/5, 0, 2/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1, 1}, 
   {1/2, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1, 0, 1/2}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/2, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1/2, 0, 0}, {1, 1/4, 0, 1, 0, 1, 3/4, 0, 3/4}, 
   {1, 1/2, 0, 0, 1/4, 0, 0, 0, 1/2}, {0, 0, 1/4, 0, 0, 1, 0, 3/4, 0}, 
   {0, 3/4, 0, 0, 0, 0, 1, 0, 1}, {1, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 0, 0, 1/3, 0, 0}, 
   {0, 1/3, 0, 1/3, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 1/3, 0}, 
   {1, 1, 0, 1, 0, 2/3, 1/3, 2/3, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 2/3, 0, 1/3, 1/3, 0, 0, 2/3}, {0, 0, 1, 1/3, 0, 0, 1, 1, 0}, 
   {2/3, 1/3, 0, 0, 1, 1/3, 0, 1/3, 0}, {1, 2/3, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 1/2, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 1, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 2/5, 0, 0, 0, 1/5, 0, 0, 1}, {0, 0, 0, 1/5, 1, 0, 1/5, 1/5, 0}, 
   {0, 2/5, 2/5, 3/5, 3/5, 0, 0, 0, 3/5}, {0, 0, 0, 1/5, 1, 0, 0, 2/5, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 3/5, 0}, {0, 0, 2/5, 0, 0, 4/5, 2/5, 0, 4/5}, 
   {0, 0, 0, 4/5, 0, 4/5, 0, 2/5, 0}, {2/5, 0, 0, 4/5, 0, 0, 4/5, 2/5, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1, 1/3, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/3, 0, 0, 2/3}, {1/3, 0, 0, 0, 1, 0, 2/3, 0}, 
   {0, 1, 1, 1/3, 0, 0, 0, 0}, {0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 0, 2/3, 2/3, 2/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1/3, 0, 1, 0, 0, 2/3}, {0, 0, 0, 1, 1, 0, 1/3, 1, 0}, 
   {1/3, 2/3, 0, 0, 0, 1, 0, 0, 2/3}, {0, 0, 0, 0, 0, 0, 2/3, 0, 1}, 
   {2/3, 1/3, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 2/3, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1/3}, {0, 0, 1, 0, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 1/3, 0, 0, 0, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/5, 0, 0, 0, 0, 2/5, 0}, {0, 0, 0, 2/5, 0, 0, 0, 0, 2/5}, 
   {0, 0, 1/5, 1/5, 1, 0, 4/5, 0, 4/5}, {1/5, 1, 0, 2/5, 0, 3/5, 2/5, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {4/5, 0, 1, 2/5, 0, 1, 0, 0, 0}, 
   {0, 0, 3/5, 0, 2/5, 3/5, 0, 2/5, 2/5}, {1/5, 1/5, 0, 3/5, 1, 0, 0, 4/5, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1/2, 1}, 
   {0, 1, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 1, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1/2, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 2/3, 2/3}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {1/3, 1/3, 0, 0, 1, 2/3, 0, 0, 0}, {0, 0, 1, 1/3, 0, 1, 0, 0, 0}, 
   {1/3, 1, 0, 0, 1/3, 0, 0, 0, 2/3}, {1/3, 1, 0, 1/3, 0, 1/3, 2/3, 2/3, 0}, 
   {2/3, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 2/3, 1/3, 0, 1/3, 2/3, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1/2, 1}, {0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1/2, 1}, {1, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1}, {0, 1/2, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/3, 1/3, 0, 1/3}, {2/3, 0, 0, 0, 1/3, 0, 2/3, 1, 0}, 
   {0, 0, 0, 0, 1/3, 2/3, 1/3, 0, 1}, {0, 2/3, 0, 1/3, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1/2, 0, 0}, {1, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1, 0, 1, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1/2, 0, 0}, {1, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 1, 1/2, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {1, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1, 1/2, 0}, {1, 1, 0, 0, 1/2, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 0, 1/2, 1, 1/2, 0, 1/2, 1, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 1/2, 1/2, 1, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1/2, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 1, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 1/2, 0}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 1}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 1, 0, 1/3, 1/3, 0, 2/3, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 2/3}, {0, 0, 1, 0, 1/3, 1, 0, 2/3, 0}, 
   {0, 0, 1, 1/3, 0, 0, 2/3, 0, 2/3}, {0, 0, 1, 1, 0, 0, 0, 0, 2/3}, 
   {1/3, 1, 0, 0, 1/3, 1, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 1, 1, 0, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1, 0, 1/3, 1, 0, 1/3}, {0, 0, 2/3, 0, 1/3, 0, 0, 1, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 2/3, 0, 1/3, 2/3, 1/3, 0, 1/3, 0}, {0, 0, 2/3, 0, 1, 0, 1, 0, 1}, 
   {0, 2/3, 0, 1/3, 0, 1/3, 0, 1, 2/3}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1/2, 1}, {1/2, 1, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 0, 1, 0, 1/2, 0, 0}, 
   {1, 1, 0, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1, 1/2}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1/2, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 1, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 1/2, 1}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 1, 0}, {1, 0, 1, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 1, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, {0, 1/2, 0, 1, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 5/6, 2/3, 0, 1, 1/3, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 1/6, 0, 0, 1/2, 1/6}, {1/6, 1, 0, 0, 1/2, 1/3, 0, 1/2, 
    1/2}, {1/2, 5/6, 0, 0, 0, 1/6, 0, 1/6, 1/6}, {1/2, 0, 1/6, 0, 1, 0, 0, 0, 
    1/3}, {0, 1/3, 1/6, 0, 2/3, 5/6, 1/2, 0, 0}, {0, 0, 0, 1/3, 0, 0, 2/3, 0, 
    0}, {1/3, 0, 1, 0, 0, 1/2, 0, 1/3, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/5, 1, 0, 4/5, 3/5, 0, 2/5, 0}, 
   {2/5, 3/5, 1/5, 2/5, 0, 3/5, 2/5, 0, 0}, {1, 0, 0, 3/5, 1/5, 0, 2/5, 0, 
    2/5}, {0, 3/5, 1, 3/5, 3/5, 0, 2/5, 0, 0}, {1/5, 0, 2/5, 2/5, 0, 1/5, 0, 
    2/5, 0}, {3/5, 0, 0, 0, 4/5, 1, 0, 0, 2/5}, {0, 2/5, 0, 2/5, 0, 0, 0, 0, 
    2/5}, {2/5, 4/5, 0, 0, 2/5, 0, 0, 2/5, 0}, {0, 0, 0, 0, 0, 0, 4/5, 2/5, 
    2/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1, 1/2, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1, 1/2}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 1/2, 0, 0, 0, 0, 1/4, 0}, 
   {0, 0, 0, 3/4, 1/4, 0, 1/4, 0, 0}, {0, 1/4, 1/4, 0, 0, 0, 1/4, 1/2, 0}, 
   {1/4, 1/4, 0, 0, 1/2, 1/2, 0, 1/4, 1/4}, {1, 0, 0, 1/4, 3/4, 0, 0, 3/4, 
    0}, {0, 3/4, 1/2, 1/4, 0, 1, 0, 0, 1/4}, {1/2, 0, 0, 0, 1/4, 1/4, 1/2, 0, 
    3/4}, {0, 1, 1, 1/2, 3/4, 0, 1/4, 0, 0}, {1, 0, 0, 1/2, 0, 1, 0, 1/4, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1, 0, 1/2}, {1, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1/3, 1, 0, 2/3, 0}, 
   {0, 1, 0, 1/3, 0, 0, 2/3, 0, 0}, {1, 0, 1/3, 1/3, 0, 2/3, 2/3, 0, 0}, 
   {1/3, 0, 1, 1, 2/3, 0, 0, 0, 0}, {0, 1, 0, 0, 1/3, 1/3, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 1, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, {1, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 1, 0, 1/2, 1}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 0, 0, 1/3, 0, 0, 2/3}, 
   {1, 0, 0, 1/3, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1/3, 0, 2/3, 2/3}, 
   {1/3, 2/3, 0, 2/3, 0, 1/3, 0, 0, 0}, {0, 1, 1/3, 1/3, 1/3, 0, 2/3, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, {0, 2/3, 2/3, 0, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 0, 1, 1/2}, {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, {1, 1, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 2/3, 1, 0, 0, 0}, {2/3, 0, 1, 1, 1/3, 0, 0, 0, 0}, 
   {1/3, 1/3, 0, 0, 0, 1, 2/3, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 0, 1/3, 0, 0, 1/3, 2/3, 2/3, 0}, {0, 0, 1/3, 0, 0, 1, 0, 2/3, 0}, 
   {1/3, 1, 0, 1/3, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/4, 1/2, 0, 0, 1/2, 1/4, 1/4, 1/4, 0}, {0, 1/4, 0, 1/4, 1/2, 0, 0, 1/2, 
    0}, {1, 0, 1/2, 1/2, 0, 0, 0, 0, 1/4}, {3/4, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 3/4, 0, 3/4, 0, 0, 1/4}, {0, 0, 1/4, 1/4, 1, 0, 1/2, 0, 3/4}, 
   {1/4, 3/4, 0, 0, 1/4, 0, 1/4, 1/4, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/4, 
    0}, {0, 0, 1/2, 1/4, 0, 1, 1/2, 0, 1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 1/2, 1, 0, 0, 1/2, 0}, {1, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 1, 0, 2/3, 0, 1, 0}, {2/3, 0, 1, 0, 0, 0, 0, 1, 1/3}, 
   {2/3, 2/3, 0, 1/3, 1/3, 0, 1, 0, 1}, {0, 1/3, 0, 0, 1, 0, 0, 1/3, 0}, 
   {1, 1/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/3, 0, 0, 1}, 
   {1/3, 1, 0, 0, 2/3, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1/3}, 
   {0, 1/3, 2/3, 0, 0, 1/3, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 1, 0, 1/2, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 1/2, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {1, 0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/3, 0, 1/3, 2/3, 0, 2/3, 0}, 
   {0, 1/3, 0, 1/3, 2/3, 0, 1, 0, 1}, {0, 0, 2/3, 0, 0, 1/3, 0, 1, 0}, 
   {0, 0, 0, 2/3, 1, 2/3, 0, 0, 0}, {1/3, 2/3, 0, 2/3, 1/3, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 2/3, 0, 1}, {2/3, 1/3, 0, 0, 0, 1/3, 0, 0, 0}, 
   {1/3, 1/3, 0, 0, 0, 0, 0, 1/3, 0}, {1/3, 0, 1/3, 1/3, 0, 0, 1/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/5, 1, 0, 2/5, 0, 0, 0, 1/5, 3/5}, 
   {0, 0, 1/5, 0, 2/5, 0, 1, 0, 0}, {4/5, 1, 2/5, 0, 2/5, 0, 1/5, 0, 0}, 
   {0, 1/5, 0, 4/5, 0, 4/5, 1, 0, 0}, {3/5, 0, 3/5, 0, 2/5, 0, 0, 1/5, 1}, 
   {1/5, 0, 2/5, 0, 2/5, 0, 0, 4/5, 0}, {1/5, 0, 0, 0, 0, 2/5, 0, 4/5, 2/5}, 
   {0, 3/5, 1/5, 1/5, 3/5, 1/5, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 1/2, 0, 1}, {0, 1/2, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 3/4, 0, 1/4, 1/2}, {0, 0, 0, 1/2, 0, 3/4, 0, 3/4, 0}, 
   {1, 3/4, 0, 1/4, 0, 0, 3/4, 0, 0}, {0, 0, 0, 3/4, 1, 0, 1/4, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1/2, 0, 3/4, 0, 0, 1/4, 1/2, 1/4, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1, 0, 1}, 
   {1, 0, 1/2, 1, 0, 0, 0, 0, 0}, {0, 1, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 1, 0, 1, 1/2, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/4, 1, 0, 1/4, 0}, 
   {0, 0, 1, 1/4, 0, 0, 1, 1, 0}, {1, 1/2, 0, 0, 0, 3/4, 0, 0, 1/4}, 
   {0, 1/2, 1/4, 1/2, 3/4, 0, 0, 0, 0}, {0, 1/2, 3/4, 1/4, 0, 0, 1/4, 0, 
    3/4}, {0, 0, 0, 3/4, 3/4, 0, 1/4, 0, 0}, {0, 0, 1/4, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1/4, 0, 0, 0, 1/4, 0}, {0, 0, 1/4, 0, 0, 3/4, 0, 0, 1/4}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1}, {0, 0, 1/2, 0, 1, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/5, 0, 1, 0, 1/5, 0, 3/5}, 
   {1/5, 3/5, 0, 3/5, 0, 0, 3/5, 2/5, 0}, {0, 2/5, 3/5, 0, 0, 0, 0, 3/5, 
    1/5}, {0, 0, 0, 3/5, 1, 3/5, 0, 0, 0}, {2/5, 0, 3/5, 3/5, 0, 0, 3/5, 0, 
    2/5}, {3/5, 3/5, 0, 0, 1, 0, 0, 3/5, 0}, {0, 0, 0, 2/5, 0, 1, 0, 0, 0}, 
   {3/5, 1, 0, 0, 0, 0, 2/5, 0, 1}, {1/5, 0, 1, 0, 0, 0, 1/5, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1, 1/2}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 0, 0, 1, 1, 0, 1/2, 0, 1/2}, 
   {1, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 0, 1/2, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1/3, 1/3, 0, 0, 2/3, 1/3, 0, 0}, 
   {1, 1/3, 0, 2/3, 0, 1, 0, 0, 0}, {0, 0, 1, 2/3, 0, 0, 0, 1, 0}, 
   {0, 2/3, 1, 0, 0, 1/3, 0, 0, 0}, {0, 0, 1/3, 0, 0, 0, 0, 2/3, 1/3}, 
   {1/3, 0, 0, 2/3, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1/3, 1/3, 0, 0, 2/3, 2/3, 0, 0, 0}, {2/3, 1, 0, 0, 1/3, 0, 1/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 2/3, 0, 0, 1/3, 0, 1}, {1, 0, 0, 2/3, 0, 0, 1, 0}, 
   {1, 0, 2/3, 0, 0, 1/3, 0, 1}, {1/3, 0, 2/3, 0, 2/3, 1/3, 0, 1/3}, 
   {0, 1, 0, 2/3, 0, 0, 1, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 1, 1, 0}, 
   {1/2, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, {1, 0, 0, 1/2, 1/2, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1/2, 0, 0, 1, 1/2}, {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1/2, 1, 0, 1, 1, 0, 0}, {0, 1, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 1, 0, 0, 0, 1/2}, {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/4, 3/4, 1/4, 0, 1/4, 0, 0, 1}, {0, 1/4, 1/2, 1/4, 0, 0, 1/4, 0, 1}, 
   {1/2, 0, 0, 0, 3/4, 1/4, 1/2, 1/4, 0}, {0, 1/2, 1/2, 0, 1/4, 0, 0, 1/4, 
    1/4}, {1/4, 0, 1/4, 1/4, 0, 0, 0, 1/2, 3/4}, 
   {0, 1/4, 0, 3/4, 0, 1/2, 1/4, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/4, 1/4, 0, 
    1/4}, {3/4, 3/4, 0, 0, 0, 0, 0, 1/2, 1/4}, {0, 0, 1/4, 1/4, 0, 0, 3/4, 1, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {1, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 1/2, 1}, {1/2, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 1, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 1, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 1, 2/3, 0, 1/3, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {2/3, 0, 2/3, 1/3, 0, 1, 1, 0, 1}, 
   {0, 2/3, 0, 1/3, 0, 1, 0, 1/3, 0}, {2/3, 0, 0, 0, 1, 0, 1/3, 0, 1}, 
   {0, 0, 0, 1/3, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1, 0, 1/2}, {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1/2, 0, 1, 1, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 1/2, 0, 0, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1/2, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1/2, 0, 1, 1, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1, 0}, {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1/2, 0, 1}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 1/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 1/3}, 
   {1/3, 2/3, 2/3, 0, 0, 1/3, 0, 0, 0}, {0, 1, 1, 1/3, 1/3, 0, 0, 0, 1/3}, 
   {1/3, 0, 1/3, 0, 0, 1, 2/3, 0, 1/3}, {1/3, 1/3, 0, 1/3, 0, 0, 0, 2/3, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1/3, 1/3, 0, 0, 1/3, 0, 2/3, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1, 0}, {0, 0, 1/2, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1/2}, {0, 0, 1, 0, 1, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, {1, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 1/3, 0, 0, 1/3, 1}, 
   {0, 0, 1, 1, 0, 0, 2/3, 2/3, 0}, {1/3, 0, 1/3, 0, 1, 2/3, 0, 0, 0}, 
   {0, 0, 0, 1/3, 0, 2/3, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 2/3, 1/3, 0}, 
   {1/3, 0, 1/3, 2/3, 1/3, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 2/3, 1/3, 0}, 
   {0, 1, 0, 0, 0, 0, 2/3, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 4/5, 0, 1/5, 0, 3/5, 0}, {0, 0, 3/5, 0, 1/5, 0, 1}, 
   {2/5, 0, 0, 1, 1/5, 0, 1/5}, {0, 0, 1/5, 0, 4/5, 1, 0}, 
   {4/5, 0, 0, 0, 0, 2/5, 0}, {0, 0, 2/5, 0, 0, 0, 4/5}, 
   {0, 2/5, 0, 0, 2/5, 0, 4/5}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1, 1, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/7, 1/7, 0, 0, 6/7, 3/7, 0, 0}, {3/7, 0, 2/7, 0, 4/7, 0, 0, 1, 3/7}, 
   {4/7, 0, 2/7, 0, 0, 0, 0, 6/7, 2/7}, {4/7, 0, 0, 2/7, 2/7, 0, 0, 4/7, 0}, 
   {0, 0, 0, 6/7, 6/7, 0, 0, 0, 0}, {0, 1, 3/7, 0, 0, 4/7, 0, 1/7, 1/7}, 
   {0, 3/7, 1/7, 4/7, 0, 4/7, 0, 1/7, 3/7}, {1/7, 0, 0, 0, 0, 0, 1, 0, 4/7}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 1, 0, 1/2, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 3/5, 0, 3/5, 0, 0}, {3/5, 0, 0, 0, 0, 0, 3/5, 0}, 
   {0, 1/5, 0, 2/5, 2/5, 0, 4/5, 3/5}, {2/5, 0, 1/5, 0, 3/5, 0, 4/5, 0}, 
   {0, 1/5, 4/5, 0, 0, 2/5, 0, 1}, {0, 2/5, 2/5, 3/5, 0, 0, 1, 0}, 
   {0, 1, 2/5, 0, 0, 0, 1, 0}, {1/5, 0, 0, 1/5, 4/5, 4/5, 0, 4/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {0, 1/2, 0, 1, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1/2}, {0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1, 0}, {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1/3, 2/3, 0, 0, 0, 2/3}, {0, 1/3, 1/3, 0, 2/3, 0, 2/3, 0}, 
   {1/3, 0, 0, 1/3, 1, 0, 0, 0}, {1, 0, 1, 2/3, 0, 0, 0, 0}, 
   {0, 1, 0, 1/3, 1, 0, 0, 2/3}, {1/3, 0, 1, 2/3, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 1/2, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1/3, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1/3, 1, 0}, {0, 2/3, 2/3, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 2/3, 0, 1}, {0, 0, 2/3, 1/3, 1, 0, 1/3, 1, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 1/3, 0, 0, 0, 2/3}, {0, 1/3, 2/3, 0, 1, 0, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 2/3, 0}, {0, 1/3, 1/3, 1, 0, 2/3, 0, 0}, 
   {1, 0, 0, 0, 1/3, 2/3, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/3, 0, 1/3, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 1/3, 0, 2/3, 0}, {1/3, 0, 1/3, 1/3, 1, 0, 0, 0, 2/3}, 
   {1/3, 0, 1/3, 1/3, 1/3, 0, 2/3, 0, 2/3}, {2/3, 1, 0, 2/3, 0, 1, 0, 2/3, 
    0}, {0, 0, 0, 0, 0, 2/3, 2/3, 0, 2/3}, {0, 0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/3, 0, 1/3, 2/3}, {1/3, 0, 1, 2/3, 1/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 2/3, 0, 1/3, 0, 1/3, 0, 1/3}, {1/3, 0, 0, 0, 1/3, 2/3, 1/3, 2/3, 
    0}, {1/3, 0, 1/3, 1/3, 0, 0, 0, 2/3, 2/3}, {2/3, 2/3, 0, 0, 1/3, 0, 0, 0, 
    0}, {2/3, 0, 1, 0, 0, 1/3, 0, 0, 1/3}, {0, 0, 2/3, 1/3, 2/3, 1/3, 0, 0, 
    0}, {0, 1/3, 0, 1/3, 0, 0, 2/3, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 4/5, 0, 0, 2/5, 0, 0, 2/5}, {2/5, 0, 0, 0, 4/5, 0, 0, 0, 0}, 
   {0, 2/5, 1, 0, 2/5, 3/5, 2/5, 2/5, 0}, {2/5, 0, 1, 0, 0, 1, 0, 2/5, 0}, 
   {3/5, 1, 0, 1, 1/5, 0, 0, 0, 0}, {0, 0, 1, 3/5, 1/5, 0, 2/5, 0, 2/5}, 
   {0, 0, 1, 1, 1/5, 0, 2/5, 0, 0}, {3/5, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 1/3, 0, 2/3, 0, 1/3, 2/3, 0}, {0, 0, 1, 0, 2/3, 0, 1, 0, 0}, 
   {1, 1/3, 0, 2/3, 0, 0, 0, 1, 1}, {0, 2/3, 1, 0, 0, 0, 0, 1/3, 1/3}, 
   {0, 0, 1/3, 0, 2/3, 2/3, 0, 1, 1/3}, {1/3, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 3/4, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 3/4, 0, 0, 0, 1, 1/4}, {1/4, 1/2, 0, 0, 0, 0, 1/4, 3/4, 0}, 
   {0, 1, 1, 3/4, 1/4, 0, 0, 1/2, 0}, {1/2, 1/4, 0, 0, 0, 3/4, 0, 0, 1/4}, 
   {0, 0, 0, 1/4, 0, 1/2, 1/4, 0, 1/2}, {0, 0, 3/4, 0, 3/4, 1, 0, 0, 0}, 
   {1, 0, 0, 3/4, 3/4, 0, 1/4, 1/2, 0}, {0, 0, 1/4, 0, 0, 1/2, 3/4, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1, 1/2, 1/2, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 1}, {1/2, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 1, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0}, {1, 1/2, 0, 1, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 1/2, 1}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 4/5, 3/5, 1, 0, 0, 1, 1/5}, 
   {4/5, 0, 0, 0, 0, 1, 1/5, 0, 0}, {0, 0, 4/5, 1/5, 3/5, 4/5, 1/5, 4/5, 0}, 
   {0, 4/5, 4/5, 0, 0, 1, 0, 1/5, 1/5}, {4/5, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/5, 0, 4/5}, {0, 0, 0, 2/5, 0, 0, 0, 0, 4/5}, 
   {0, 4/5, 0, 0, 0, 0, 2/5, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1, 1/2}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 1, 0, 0, 1, 1/2, 0}, {0, 1, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1, 0, 1/2}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 1, 1, 1, 0}, {2/3, 0, 0, 1/3, 1, 0, 0, 0, 1/3}, 
   {0, 2/3, 2/3, 0, 0, 1/3, 0, 0, 1/3}, {0, 0, 2/3, 1/3, 1/3, 0, 1, 1/3, 0}, 
   {0, 0, 0, 2/3, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 2/3, 2/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0}, {1/3, 0, 0, 2/3, 0, 1, 1/3, 0}, 
   {0, 1, 2/3, 2/3, 0, 0, 0, 1/3}, {0, 1/3, 0, 0, 0, 2/3, 0, 1/3}, 
   {0, 1/3, 0, 2/3, 2/3, 1/3, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1/3, 0, 2/3, 0, 2/3, 0, 0, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 1/3, 1/3, 0, 1/3, 1/3}, 
   {2/3, 0, 1/3, 0, 2/3, 1/3, 0, 0}, {2/3, 0, 1/3, 0, 0, 1/3, 2/3, 0}, 
   {0, 0, 1, 2/3, 0, 0, 1/3, 1}, {0, 2/3, 1/3, 0, 0, 0, 1/3, 1/3}, 
   {0, 2/3, 0, 1/3, 1/3, 1/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1, 1/2, 0, 0, 1/2, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 1, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 1/3, 1, 0, 0, 1/3, 1}, 
   {0, 0, 2/3, 0, 0, 1/3, 1, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 1/3, 1, 0, 1, 0, 0}, {2/3, 2/3, 0, 1/3, 1/3, 0, 1, 0, 0}, 
   {0, 0, 2/3, 0, 0, 1/3, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 3/5, 0, 0, 2/5, 0, 0}, {3/5, 0, 1/5, 0, 3/5, 1, 0, 0, 2/5}, 
   {0, 2/5, 0, 0, 0, 2/5, 0, 2/5, 2/5}, {0, 2/5, 2/5, 0, 0, 0, 0, 0, 2/5}, 
   {0, 0, 4/5, 2/5, 2/5, 0, 0, 0, 0}, {1, 0, 1/5, 3/5, 2/5, 0, 0, 2/5, 0}, 
   {1, 0, 3/5, 3/5, 0, 0, 0, 0, 0}, {0, 1/5, 0, 0, 3/5, 1, 4/5, 2/5, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {1/3, 0, 2/3, 2/3, 0, 2/3, 0, 0, 1/3}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 1/3, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 1, 0, 0, 1/3, 1/3, 0}, {0, 0, 1, 0, 2/3, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1/3, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1, 1/2, 1/2, 0}, {1/2, 0, 1/2, 1, 1/2, 0, 0, 0, 
    1/2}, {0, 0, 1/2, 0, 0, 1/2, 1, 1/2, 1/2}, {0, 0, 1/2, 0, 0, 1, 0, 1/2, 
    1/2}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 1/2, 1/2, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/5, 0, 4/5, 2/5, 0, 0, 2/5}, {2/5, 0, 0, 0, 0, 0, 2/5, 0, 4/5}, 
   {0, 0, 4/5, 0, 4/5, 4/5, 0, 0, 0}, {3/5, 0, 1/5, 1, 0, 0, 0, 0, 0}, 
   {0, 3/5, 0, 0, 1/5, 3/5, 0, 2/5, 0}, {0, 1, 0, 0, 3/5, 3/5, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 2/5, 0, 2/5}, {4/5, 1/5, 0, 1/5, 0, 0, 2/5, 4/5, 0}, 
   {0, 1, 4/5, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1/2, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 0, 1, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 3/4, 0, 1/2, 1/4, 0}, {1/2, 0, 1/2, 1/4, 0, 0, 0, 0, 1/4}, 
   {3/4, 0, 0, 3/4, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1/4, 0, 1/2}, 
   {0, 3/4, 1/4, 0, 0, 3/4, 0, 0, 1/4}, {0, 0, 0, 1/4, 1, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 1/4, 1, 0, 0, 0, 1}, {1/4, 0, 0, 0, 1/4, 3/4, 0, 3/4, 1/4}, 
   {0, 0, 1/2, 1/4, 0, 1, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, {1/2, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, {0, 1, 0, 0, 0, 1/3, 2/3, 2/3, 0}, 
   {0, 1, 0, 2/3, 0, 1/3, 0, 2/3, 0}, {1/3, 0, 1, 1/3, 1/3, 0, 0, 0, 2/3}, 
   {0, 1, 0, 1/3, 1/3, 0, 2/3, 0, 2/3}, {0, 1, 0, 1/3, 1, 0, 0, 0, 2/3}, 
   {1, 0, 1, 0, 0, 1/3, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 1/2, 0, 0, 1, 1/2}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1, 1, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1/2}, {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 1, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1, 1/3, 0, 0, 1/3, 1/3}, {0, 2/3, 2/3, 0, 0, 1/3, 1/3, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 2/3}, {1/3, 1/3, 1/3, 0, 0, 1/3, 1/3, 2/3, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1/3}, {0, 0, 2/3, 1, 1, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0, 2/3}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/3, 1, 0}, {1/3, 0, 0, 0, 1, 0, 2/3, 0, 1/3}, 
   {1/3, 1/3, 0, 0, 2/3, 0, 2/3, 0, 1/3}, {0, 0, 1, 2/3, 0, 2/3, 0, 1, 0}, 
   {0, 1/3, 1/3, 0, 0, 0, 0, 2/3, 1/3}, {0, 0, 1, 1, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 2/3, 1/3, 1/3, 0, 0, 0, 0, 2/3}, {0, 0, 1, 2/3, 2/3, 0, 2/3, 0, 0}, 
   {1, 0, 0, 0, 0, 1/3, 0, 2/3, 2/3}, {0, 2/3, 1/3, 0, 1/3, 0, 0, 2/3, 1/3}, 
   {1/3, 0, 0, 0, 0, 1, 2/3, 0, 0}, {0, 1, 0, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {0, 1/3, 2/3, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1/3, 2/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 2/3, 0, 0, 1/3, 0, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 
    1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 
    1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1, 0, 1/3, 1, 0, 0, 2/3}, {0, 1, 0, 1/3, 0, 0, 2/3, 0, 0}, 
   {0, 1, 0, 0, 1/3, 1, 0, 0, 2/3}, {1, 0, 1, 1/3, 0, 0, 2/3, 0, 0}, 
   {1, 0, 1, 1, 2/3, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/3, 0, 1, 2/3, 0, 0, 0, 1/3, 0}, 
   {0, 1, 0, 0, 2/3, 0, 1/3, 0, 1}, {2/3, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 1, 0, 0, 0, 0, 0, 1/3, 0}, {0, 1/3, 0, 0, 2/3, 2/3, 0, 1/3, 0}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 1/3, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 0, 0, 0}, {1, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 1, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 1, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 1/3, 0, 1}, {0, 1, 0, 1/3, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/3, 0}, {0, 0, 1, 1/3, 2/3, 0, 0, 0}, 
   {1/3, 0, 0, 0, 0, 2/3, 1, 0}, {0, 2/3, 1, 0, 0, 1/3, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 1/3, 2/3, 0, 0, 0, 1/3, 0, 0}, 
   {1/3, 1/3, 0, 0, 2/3, 1/3, 0, 0, 2/3}, {1/3, 0, 2/3, 0, 0, 1/3, 1/3, 1/3, 
    0}, {0, 0, 1/3, 0, 2/3, 0, 0, 1/3, 1}, {1/3, 2/3, 0, 1/3, 0, 1/3, 0, 0, 
    0}, {0, 1/3, 0, 1/3, 1/3, 0, 0, 0, 1/3}, {0, 0, 1/3, 1/3, 0, 1/3, 1/3, 0, 
    1/3}, {0, 0, 1/3, 2/3, 0, 1/3, 0, 0, 1/3}, {0, 0, 0, 0, 1/3, 0, 2/3, 2/3, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1, 1/2}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 0, 0, 1/3, 1/3, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1/3, 1}, {0, 0, 0, 1/3, 0, 1/3, 2/3, 0, 2/3}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1/3, 0, 1, 0, 1/3, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 0, 0, 0, 1, 0, 1, 1/3}, {0, 0, 2/3, 0, 0, 2/3, 1/3, 0, 0}, 
   {2/3, 0, 0, 0, 1, 0, 0, 2/3, 0}, {0, 0, 0, 0, 0, 2/3, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0}, {1, 0, 0, 1/3, 2/3, 0, 0, 2/3}, 
   {1, 0, 0, 1, 0, 2/3, 0, 0}, {0, 1, 1, 0, 1, 2/3, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 1/3, 0, 1/3, 0, 0, 0, 2/3}, 
   {1, 0, 1/3, 0, 1, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 1, 1, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1/2, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 1/2, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1/3, 0, 0, 1/3, 0, 0, 1, 0}, 
   {0, 0, 1/3, 1/3, 0, 2/3, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 2/3, 2/3, 0}, 
   {1/3, 1/3, 0, 1/3, 2/3, 0, 0, 0, 1/3}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 1, 0, 1/3, 0, 0, 0, 0}, {1/3, 1/3, 0, 1/3, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 1, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 
    0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 1/2, 1, 1/2, 0, 0, 1/2, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1/3, 0, 1/3, 2/3, 0, 0}, {1/3, 0, 1/3, 0, 1, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 1/3, 2/3, 0, 1/3, 0, 2/3, 2/3, 0}, {0, 1, 2/3, 2/3, 1, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 1, 0, 1/3, 0, 2/3, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 1, 1/3, 0, 1/3}, {0, 0, 1, 1/3, 0, 0, 1, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, {0, 2/3, 0, 0, 1/3, 0, 1, 0}, 
   {0, 0, 0, 2/3, 1, 0, 1, 0}, {0, 0, 1, 1/3, 0, 1/3, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {1/2, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 1/3}, 
   {1, 0, 1/3, 1, 0, 0, 1/3, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3, 1}, 
   {0, 1, 0, 0, 0, 0, 1/3, 2/3, 0}, {0, 1/3, 0, 0, 1/3, 1/3, 0, 1/3, 1/3}, 
   {1/3, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 2/3}, 
   {0, 1, 2/3, 2/3, 0, 0, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 1, 1, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/5, 3/5, 0, 0, 2/5, 0, 1/5, 0, 3/5}, 
   {1/5, 0, 1/5, 0, 0, 2/5, 0, 1/5, 0}, {0, 1/5, 1/5, 2/5, 4/5, 0, 0, 1/5, 
    1/5}, {3/5, 4/5, 0, 0, 0, 0, 1/5, 0, 4/5}, {1/5, 0, 2/5, 4/5, 4/5, 0, 
    1/5, 0, 0}, {0, 0, 1, 0, 0, 2/5, 2/5, 0, 1/5}, 
   {0, 0, 3/5, 2/5, 0, 2/5, 0, 0, 1/5}, {1/5, 3/5, 0, 0, 0, 0, 3/5, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 3/5, 2/5, 3/5, 0, 2/5, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 2/5}, {3/5, 0, 1, 0, 1/5, 1, 0, 0, 2/5}, 
   {0, 0, 1, 1, 2/5, 0, 0, 0, 0}, {0, 0, 1/5, 1/5, 0, 0, 0, 4/5, 2/5}, 
   {1/5, 1, 0, 0, 3/5, 1, 0, 0, 0}, {3/5, 0, 0, 0, 0, 0, 4/5, 2/5, 0}, 
   {1/5, 4/5, 0, 0, 4/5, 4/5, 0, 0, 0}, {1, 0, 0, 0, 2/5, 0, 4/5, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 1, 1/3, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1/3, 2/3, 0, 2/3}, {0, 0, 1/3, 0, 2/3, 1, 0, 0, 0}, 
   {2/3, 0, 1/3, 0, 0, 1/3, 2/3, 0, 0}, {1/3, 1/3, 0, 1/3, 1/3, 0, 2/3, 0, 
    2/3}, {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 2/3, 2/3, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 1}, {1/2, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 1/2, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, {0, 0, 1, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1/2, 1, 0, 1/2}, {0, 0, 1, 1/2, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1, 0}, {0, 1/2, 1/2, 1, 0, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 0, 0, 2/3, 1/3, 0, 0}, 
   {0, 0, 1/3, 1/3, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 1/3, 0, 0}, 
   {2/3, 0, 0, 0, 1/3, 2/3, 0, 1/3, 1/3}, {1, 1/3, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 2/3, 1, 1, 1, 0, 0, 0, 0}, {1, 1/3, 0, 1/3, 1, 0, 0, 0, 0}, 
   {0, 2/3, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1/3, 0, 2/3, 1/3, 2/3, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 1/3, 0, 0, 1}, 
   {0, 0, 1/3, 1, 0, 1/3, 1/3, 0}, {0, 0, 1/3, 1, 0, 0, 2/3, 1/3}, 
   {0, 0, 0, 0, 1/3, 1, 1, 0}, {0, 2/3, 1/3, 1/3, 0, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 1, 1, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/5, 0, 1/5, 0, 3/5}, 
   {0, 2/5, 0, 1/5, 0, 3/5, 2/5, 1/5, 0}, {0, 0, 4/5, 0, 1, 0, 0, 1, 0}, 
   {2/5, 0, 2/5, 2/5, 3/5, 0, 0, 1, 0}, {2/5, 2/5, 0, 1/5, 0, 3/5, 1/5, 0, 
    1}, {0, 0, 2/5, 2/5, 2/5, 0, 4/5, 0, 2/5}, {0, 0, 2/5, 4/5, 0, 4/5, 0, 
    2/5, 0}, {4/5, 2/5, 0, 0, 0, 0, 2/5, 4/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 1, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1}, {1, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 1/2}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1, 1/2}, 
   {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1/2, 1, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 1, 1, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1, 1, 0, 0, 1/2, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 0, 1, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 1, 1}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0}, {2/3, 0, 1/3, 0, 1/3, 0, 1, 0}, 
   {0, 0, 2/3, 1, 0, 1, 0, 1}, {0, 0, 1/3, 2/3, 1, 0, 1/3, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 1/3, 2/3}, {0, 0, 2/3, 1, 0, 0, 1, 0}, 
   {0, 0, 1/3, 0, 1, 1/3, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 1/3, 0, 0, 1/3, 0, 0}, 
   {2/3, 0, 0, 1, 1, 0, 1/3, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {2/3, 0, 1, 0, 0, 0, 1/3, 1}, {0, 2/3, 0, 1/3, 1/3, 1/3, 0, 0}, 
   {0, 0, 0, 1/3, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 1, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 1, 0}, {0, 0, 0, 1/2, 1, 0, 1, 0, 1}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 1, 2/3, 0, 0, 0}, 
   {1/3, 2/3, 0, 0, 2/3, 0, 1/3, 0, 1}, {1/3, 0, 1/3, 0, 0, 2/3, 2/3, 1, 0}, 
   {0, 0, 0, 1/3, 0, 2/3, 0, 0, 2/3}, {1/3, 0, 0, 0, 0, 2/3, 0, 1/3, 2/3}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 2/3, 1/3, 0}, {0, 0, 2/3, 2/3, 0, 0, 1/3, 0, 
    1/3}, {0, 1/3, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 1/3, 0, 0, 0, 0, 2/3, 2/3, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1/3, 1}, {1/3, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 1, 0, 2/3}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 2/3, 0}, 
   {1/3, 0, 2/3, 0, 2/3, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 3/5, 0, 1, 0, 0, 2/5, 0}, {1/5, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {4/5, 0, 1, 1/5, 0, 1, 0, 0, 0}, {3/5, 3/5, 0, 0, 1, 0, 2/5, 0, 2/5}, 
   {1/5, 1/5, 0, 0, 3/5, 4/5, 0, 2/5, 4/5}, {0, 0, 2/5, 4/5, 0, 0, 0, 0, 0}, 
   {0, 4/5, 0, 0, 0, 0, 4/5, 0, 0}, {2/5, 2/5, 0, 0, 0, 0, 2/5, 0, 2/5}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 2/3, 0, 0, 0, 1}, 
   {2/3, 1/3, 0, 0, 1/3, 2/3, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 1/3, 2/3, 1, 0}, 
   {0, 1, 1/3, 0, 1/3, 0, 0, 0, 2/3}, {0, 1, 0, 1/3, 0, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 2/3, 2/3, 0, 0, 0, 1, 0}, {0, 0, 1/3, 0, 0, 2/3, 1/3, 0, 1/3}, 
   {1/3, 0, 0, 0, 1/3, 0, 1, 0, 0}, {0, 1, 0, 2/3, 0, 0, 0, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1/3, 0, 0}, {0, 1/3, 0, 0, 1/3, 0, 1/3, 1, 0}, 
   {2/3, 0, 0, 0, 2/3, 2/3, 0, 1/3, 1/3}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1/3, 2/3, 1, 0, 0, 0, 2/3}, {1, 0, 0, 2/3, 0, 0, 1/3, 0, 1}, 
   {0, 2/3, 1, 0, 1, 0, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1, 1, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1/3, 0, 2/3, 2/3, 0}, 
   {1/3, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, {2/3, 1, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {0, 1, 0, 0, 0, 1, 2/3, 0, 0}, {1/3, 0, 1, 1, 1/3, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{3/7, 3/7, 0, 0, 5/7, 5/7, 0, 0, 2/7}, 
   {0, 0, 3/7, 5/7, 0, 0, 2/7, 2/7, 0}, {2/7, 0, 5/7, 3/7, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 4/7, 4/7, 0, 2/7, 2/7, 0}, {0, 0, 0, 0, 0, 2/7, 0, 6/7, 4/7}, 
   {0, 2/7, 6/7, 0, 2/7, 2/7, 0, 0, 2/7}, {0, 0, 3/7, 0, 3/7, 1, 4/7, 4/7, 
    0}, {3/7, 5/7, 0, 1, 2/7, 0, 0, 0, 4/7}, {3/7, 3/7, 0, 1/7, 0, 4/7, 6/7, 
    0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1/3, 1/3, 0, 0, 1/3}, {0, 0, 1, 2/3, 0, 1/3, 1, 0}, 
   {2/3, 0, 1/3, 0, 0, 0, 0, 1/3}, {0, 0, 0, 1/3, 1/3, 1/3, 1, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1/3, 0, 0, 0, 0, 1/3, 1/3}, 
   {0, 1/3, 0, 1, 0, 2/3, 0, 0, 0}, {2/3, 1/3, 0, 0, 0, 0, 1/3, 2/3, 0}, 
   {0, 1/3, 1/3, 0, 0, 1/3, 0, 0, 1/3}, {1/3, 0, 1, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/3, 1/3, 0, 2/3}, {0, 1, 0, 1/3, 1, 0, 0, 0, 0}, 
   {0, 2/3, 1/3, 0, 1, 0, 1/3, 0, 0}, {2/3, 0, 1/3, 0, 0, 2/3, 2/3, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 1, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 1/2, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1/2, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}, {0, 1, 0, 1/2, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 1, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 2/3, 0, 1/3, 0, 0, 0}, {0, 0, 1, 1/3, 0, 0, 1/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 2/3, 1, 1/3, 0, 2/3, 0, 0, 0}, 
   {2/3, 2/3, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {2/3, 0, 0, 0, 1/3, 1/3, 0, 2/3, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 1, 0, 0, 0, 2/3, 0}, {0, 1, 0, 0, 1/3, 1/3, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 1, 0, 1, 1/3, 0, 0, 2/3}, {0, 1, 2/3, 1/3, 0, 0, 0, 2/3, 0}, 
   {0, 1, 0, 1/3, 0, 0, 2/3, 2/3, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1/2, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 2/3, 0, 1/3, 0, 1/3, 1/3, 0}, 
   {0, 1, 0, 0, 1, 1/3, 0, 1, 1}, {2/3, 0, 0, 2/3, 0, 1/3, 1/3, 1/3, 0}, 
   {1, 2/3, 0, 1, 0, 0, 0, 0, 0}, {0, 2/3, 1/3, 0, 0, 0, 1, 0, 0}, 
   {0, 2/3, 0, 1, 0, 1/3, 0, 0, 0}, {1, 0, 0, 0, 2/3, 0, 0, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 0, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1, 1, 0, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/5, 0, 3/5, 0, 2/5, 0, 2/5}, 
   {0, 0, 3/5, 2/5, 1, 0, 0, 0, 0}, {3/5, 1/5, 0, 3/5, 0, 1/5, 0, 0, 4/5}, 
   {0, 0, 0, 0, 4/5, 0, 4/5, 0, 2/5}, {0, 2/5, 0, 0, 0, 0, 4/5, 2/5, 0}, 
   {0, 0, 0, 2/5, 0, 4/5, 0, 4/5, 0}, {0, 0, 3/5, 1, 0, 1, 4/5, 0, 0}, 
   {3/5, 1/5, 0, 0, 1, 0, 0, 4/5, 2/5}, {2/5, 0, 1/5, 1/5, 0, 3/5, 4/5, 4/5, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1/3, 0, 0, 1/3, 1, 1/3, 0, 1/3, 2/3}, 
   {1, 0, 2/3, 2/3, 2/3, 0, 1/3, 0, 1}, {1, 0, 0, 0, 0, 2/3, 0, 1/3, 0}, 
   {0, 1, 1/3, 0, 0, 0, 1/3, 0, 1}, {1, 0, 0, 0, 0, 0, 2/3, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/3, 0}, {0, 0, 1, 0, 0, 0, 2/3, 1}, 
   {2/3, 0, 1, 0, 0, 0, 2/3, 1/3}, {0, 1/3, 0, 0, 1, 2/3, 0, 0}, 
   {1/3, 0, 0, 0, 1, 0, 2/3, 2/3}, {0, 0, 2/3, 2/3, 1/3, 2/3, 0, 1/3}, 
   {0, 2/3, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 1, 1/2, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1, 0, 1, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 1, 0, 0, 0, 1}, {2/3, 0, 0, 0, 0, 1, 1/3, 1, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 2/3, 2/3}, {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 1, 0, 0, 1}, {0, 0, 0, 1/3, 1, 0, 1/3, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 2/3, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/3, 2/3, 0, 1/3}, {1/3, 0, 0, 2/3, 2/3, 0, 0, 0, 1/3}, 
   {2/3, 0, 1/3, 0, 0, 0, 1/3, 0, 0}, {0, 0, 1/3, 0, 1, 1/3, 1/3, 0, 0}, 
   {1/3, 2/3, 0, 0, 0, 1, 0, 2/3, 1/3}, {0, 0, 2/3, 0, 1, 0, 2/3, 0, 0}, 
   {0, 1/3, 1/3, 0, 0, 0, 0, 1, 2/3}, {1/3, 1, 0, 1/3, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 1/3, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 0, 1, 1/2, 0, 1}, {0, 1, 1, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 
    0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1, 1, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 0, 1, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {1, 0, 1, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1/2, 0, 0, 0}, {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1, 0, 1, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1/2}, 
   {1, 1/2, 0, 0, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 0, 1/2, 1, 1, 0}, 
   {1/2, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 1, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 1/2, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 2/3, 0, 0, 0}, {0, 1/3, 1/3, 1, 0, 0, 0, 0, 2/3}, 
   {0, 1/3, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1/3, 1, 0, 0, 0}, 
   {0, 1, 1/3, 0, 1/3, 1/3, 0, 0, 0}, {1/3, 2/3, 0, 1/3, 2/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 0, 1, 0, 0, 0, 2/3, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/4, 1/2, 0, 3/4, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1/4, 0, 1/2, 1/4, 1/4, 0, 0}, {0, 1/4, 1/2, 1/4, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/4, 0, 0, 1/4, 1/4}, {1/4, 1/4, 0, 0, 0, 1/4, 0, 1, 
    3/4}, {0, 0, 1/4, 3/4, 0, 1, 0, 0, 0}, {0, 0, 0, 3/4, 0, 1, 0, 0, 1/4}, 
   {1, 1/2, 0, 1/4, 1/4, 0, 1/4, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 1}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 1, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {1/3, 1, 0, 0, 0, 1/3, 2/3, 0, 0}, 
   {1/3, 1/3, 0, 2/3, 0, 1/3, 0, 0, 0}, {0, 0, 1/3, 1, 1/3, 0, 0, 0, 2/3}, 
   {0, 0, 1/3, 0, 2/3, 1, 0, 2/3, 0}, {0, 0, 1/3, 0, 0, 1/3, 2/3, 2/3, 0}, 
   {1/3, 1, 0, 1, 1, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 1/3, 0, 1/3, 0, 0, 1}, {1/3, 0, 1, 0, 2/3, 0, 1/3, 0, 0}, 
   {0, 0, 0, 1/3, 1, 0, 1/3, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 1/3, 2/3}, 
   {2/3, 1, 0, 0, 1/3, 0, 0, 0, 2/3}, {0, 1/3, 0, 2/3, 0, 1, 2/3, 1, 0}, 
   {0, 2/3, 2/3, 0, 1/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/3, 1/3, 1/3, 0}, 
   {0, 0, 0, 0, 0, 2/3, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1/2, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/4, 0, 1/4, 1/4, 1/4, 0, 0, 0, 3/4}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 3/4, 1/2, 0, 0, 0, 1/4, 0, 0}, {1/2, 3/4, 0, 1/2, 1/4, 0, 3/4, 0, 
    0}, {0, 0, 1/2, 0, 3/4, 3/4, 0, 3/4, 0}, {0, 1/4, 0, 1/2, 1/4, 0, 0, 3/4, 
    0}, {0, 1/4, 3/4, 1/2, 0, 1/4, 0, 0, 0}, {0, 0, 1/2, 0, 1/4, 1/4, 3/4, 0, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 1, 0, 1, 1, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 2/3, 0, 1, 0}, {0, 1/3, 0, 2/3, 0, 1/3, 0, 1}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3}, {1/3, 0, 2/3, 0, 2/3, 1, 0, 1/3}, 
   {0, 1/3, 2/3, 2/3, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 2/3, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 1, 1, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 1}, {0, 1, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {1, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 0, 0, 1/3, 0, 2/3}, {1/3, 0, 1/3, 0, 0, 1/3, 0, 0, 0}, 
   {1/3, 0, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 0, 0, 2/3, 1/3, 0, 0, 1, 1/3}, 
   {0, 1/3, 2/3, 2/3, 0, 0, 0, 1, 0}, {2/3, 1/3, 0, 0, 2/3, 2/3, 1/3, 0, 
    1/3}, {1/3, 1/3, 0, 2/3, 1/3, 0, 1/3, 0, 0}, {0, 0, 0, 2/3, 0, 0, 2/3, 0, 
    2/3}, {0, 1/3, 2/3, 0, 2/3, 2/3, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{3/4, 0, 0, 0, 1/4, 0, 0, 1/4, 0}, {0, 0, 1/4, 1/4, 0, 0, 0, 0, 1}, 
   {1/4, 1/4, 1/4, 0, 1/2, 3/4, 0, 0, 1/2}, {0, 3/4, 0, 0, 0, 0, 1, 3/4, 0}, 
   {0, 3/4, 3/4, 0, 0, 1/4, 0, 3/4, 0}, {1, 1/4, 0, 3/4, 0, 0, 0, 0, 1}, 
   {0, 0, 3/4, 1/4, 0, 1/4, 1, 1/4, 0}, {0, 0, 0, 0, 1/4, 0, 3/4, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/4, 1, 3/4, 0}, {1/4, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 
    0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1/4, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 3/4, 1, 0, 0}, {0, 1/2, 1/4, 0, 1/2, 0, 0, 1/4, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 1, 1/4, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 3/4, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 1/3, 1/3, 1, 0}, {2/3, 1, 0, 0, 1/3, 0, 0, 1, 0}, 
   {1/3, 0, 1, 0, 0, 1, 0, 0, 2/3}, {0, 0, 0, 1, 2/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 1/3, 0, 0, 2/3, 2/3, 0}, {2/3, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {2/3, 0, 1, 0, 1/3, 0, 0, 0, 0}, {0, 1/3, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 2/3, 0, 1/3, 1/3, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 2/3, 1, 0, 0, 1, 0}, {1, 0, 1/3, 2/3, 0, 1, 0, 0, 0}, 
   {2/3, 1/3, 0, 0, 1/3, 1/3, 0, 0, 1/3}, {0, 1/3, 0, 1/3, 0, 1, 0, 2/3, 0}, 
   {0, 1/3, 2/3, 1/3, 0, 0, 0, 0, 1/3}, {1/3, 0, 1, 0, 1/3, 0, 0, 1/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 1, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 1, 0, 2/3}, 
   {2/3, 0, 0, 1/3, 2/3, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 0}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/4, 7/8, 0, 0, 0, 0, 0, 1/8, 0}, 
   {0, 3/8, 0, 1/4, 0, 0, 1/4, 1/8, 0}, {0, 0, 1/8, 0, 1/8, 0, 7/8, 0, 1/4}, 
   {1/8, 0, 0, 0, 3/8, 1/4, 0, 5/8, 5/8}, {1, 1/2, 0, 1/8, 0, 1/8, 1/8, 3/4, 
    0}, {0, 5/8, 7/8, 0, 0, 0, 1/8, 0, 1}, {5/8, 0, 7/8, 1/8, 0, 1/8, 0, 1/4, 
    1/8}, {1, 3/8, 0, 1/4, 1/8, 0, 3/4, 0, 7/8}, {0, 1/8, 1, 0, 0, 0, 5/8, 1, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 1, 0, 0, 1/3, 1, 0}, {2/3, 0, 0, 1/3, 1, 0, 0, 1}, 
   {0, 2/3, 1/3, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1/3, 1/3, 1, 0}, 
   {0, 0, 1, 2/3, 0, 2/3, 0, 1/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 3/4, 1/4, 1/2, 0}, {3/4, 0, 0, 1/2, 1/4, 0, 3/4, 0, 1/2}, 
   {0, 0, 1/4, 1/4, 0, 1/2, 0, 1/4, 1/4}, {1/2, 1/2, 0, 1/4, 1/2, 0, 0, 1/4, 
    1/4}, {0, 1/4, 0, 3/4, 0, 1/4, 1/4, 3/4, 0}, 
   {0, 0, 1/4, 1/4, 1/2, 0, 1/2, 0, 1/2}, {0, 3/4, 1/2, 0, 3/4, 0, 0, 1/4, 
    1/4}, {1/4, 1/4, 0, 0, 0, 3/4, 1/2, 0, 1}, {0, 0, 1/4, 1/4, 1, 0, 0, 1, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/3, 0, 1/3, 0, 0, 2/3, 2/3}, 
   {0, 1, 0, 1, 0, 1/3, 2/3, 0, 0}, {1, 0, 1, 0, 1/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 1, 0, 0, 1/3, 0, 0, 2/3, 2/3}, 
   {1, 0, 1, 1/3, 0, 1/3, 2/3, 2/3, 0}, {2/3, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1/3, 0, 0, 1/3, 2/3, 0, 0, 0}, 
   {1/3, 0, 2/3, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {2/3, 1, 0, 1, 2/3, 0, 0, 0, 0}, {0, 1/3, 0, 1/3, 0, 1/3, 1/3, 2/3, 0}, 
   {0, 0, 0, 0, 0, 1/3, 1/3, 0, 1}, {0, 0, 1/3, 2/3, 1/3, 0, 0, 0, 0}, 
   {0, 0, 1/3, 0, 1/3, 0, 0, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 1}, 
   {1/2, 0, 0, 0, 1, 1, 1/2, 0, 0}, {0, 1, 1, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1, 0, 0, 1/3}, {2/3, 0, 0, 1/3, 0, 1, 1/3, 0}, 
   {0, 0, 0, 0, 1, 1/3, 1, 0}, {0, 0, 1/3, 1, 0, 0, 0, 1}, 
   {0, 2/3, 1/3, 2/3, 0, 0, 0, 0}, {0, 0, 1, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 1/3, 0, 2/3, 2/3, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 1/3, 0, 0, 0, 2/3}, {1, 0, 0, 1, 0, 1/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 2/3, 0, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {1/3, 2/3, 0, 2/3, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 1, 0, 2/3, 2/3, 0}, {0, 1, 1/3, 1, 0, 1/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 1/3, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1/3, 0, 1/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 1/3, 0, 1/3, 0}, {0, 0, 2/3, 0, 1, 0, 1, 2/3}, 
   {0, 2/3, 1/3, 1, 0, 1/3, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1/3, 0, 2/3, 0, 1, 2/3, 0, 0, 1}, 
   {1/3, 0, 0, 0, 1/3, 0, 2/3, 0, 1}, {0, 2/3, 0, 1/3, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 1, 1}, {2/3, 0, 2/3, 0, 1/3, 1/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 1}, {1, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 1/2, 1, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 2/3, 1/3, 1/3, 0}, 
   {1/3, 0, 2/3, 0, 0, 1/3, 0, 1/3, 0}, {1/3, 0, 0, 1, 1/3, 0, 1/3, 0, 1/3}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 0, 0, 2/3, 1/3, 0, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 1/3, 0, 1/3, 1/3, 0}, {2/3, 2/3, 0, 0, 0, 2/3, 1/3, 0, 
    0}, {1/3, 0, 2/3, 2/3, 1/3, 0, 1/3, 1, 0}, {0, 1/3, 1/3, 2/3, 0, 0, 0, 
    2/3, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1/3, 0, 0}, {1, 0, 2/3, 1/3, 0, 2/3, 0, 1/3, 0}, 
   {0, 0, 0, 0, 2/3, 1/3, 1/3, 2/3, 0}, {0, 1, 1/3, 0, 0, 0, 0, 1/3, 0}, 
   {0, 0, 0, 1/3, 1, 0, 0, 0, 2/3}, {0, 2/3, 0, 1/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 2/3, 0, 1, 0, 0, 1/3}, {1, 0, 1, 0, 1/3, 0, 1/3, 0, 0}, 
   {1/3, 0, 0, 1/3, 0, 2/3, 0, 1/3, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1/2, 1/2, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 1, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, {0, 0, 1, 0, 0, 1/3, 1, 0}, 
   {0, 2/3, 1/3, 0, 0, 1/3, 1/3, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 2/3, 0, 1}, {0, 2/3, 1/3, 2/3, 0, 0, 0, 1/3}, 
   {2/3, 0, 0, 1, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1, 1, 1, 0, 1/4, 0, 0}, 
   {1/4, 0, 0, 1/2, 1, 0, 0, 1/2, 1}, {0, 3/4, 1/2, 0, 1/4, 1/4, 0, 3/4, 
    1/4}, {1/2, 1, 0, 3/4, 3/4, 0, 3/4, 1/2, 0}, {0, 0, 3/4, 0, 0, 1, 0, 0, 
    0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1/4, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/4, 1/4, 0, 1/4, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 0, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 1, 0, 0, 0, 0, 3/5, 0}, {0, 1/5, 3/5, 1/5, 0, 0, 0, 2/5, 1/5}, 
   {2/5, 2/5, 0, 3/5, 0, 0, 2/5, 0, 2/5}, {1/5, 0, 0, 2/5, 3/5, 3/5, 0, 0, 
    0}, {4/5, 2/5, 0, 0, 0, 3/5, 1/5, 3/5, 0}, {0, 0, 0, 0, 3/5, 0, 3/5, 0, 
    3/5}, {2/5, 1/5, 2/5, 0, 0, 3/5, 0, 0, 1/5}, 
   {0, 0, 2/5, 2/5, 0, 3/5, 1/5, 0, 1/5}, {2/5, 1/5, 0, 0, 3/5, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 0, 1, 0, 0, 2/3, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1/3, 0, 0, 0, 1, 0, 0, 0, 2/3}, 
   {0, 1/3, 1, 1, 0, 1/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 2/3, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1/2}, {1, 1, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 1, 0, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 1, 2/3, 0, 1/3, 0}, {1, 0, 0, 2/3, 1/3, 0, 0, 0, 2/3}, 
   {0, 1/3, 1, 0, 0, 1/3, 1/3, 2/3, 0}, {0, 1/3, 1/3, 2/3, 2/3, 0, 0, 0, 
    1/3}, {2/3, 0, 0, 0, 2/3, 1/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 1/3, 0, 0, 
    0}, {0, 2/3, 2/3, 0, 0, 0, 1/3, 0, 1/3}, {0, 0, 2/3, 1/3, 0, 2/3, 0, 0, 
    1/3}, {1/3, 0, 0, 1, 0, 0, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1/2, 1, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {1, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 0, 0, 0, 3/4, 0, 0, 1/4}, 
   {1/2, 0, 0, 1/4, 0, 0, 0, 1/4, 0}, {1/4, 0, 1/4, 0, 3/4, 1, 3/4, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 1, 3/4, 0, 0, 1/4, 1/2}, 
   {0, 0, 1/2, 3/4, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/4, 1, 0, 3/4, 3/4}, 
   {0, 0, 1, 3/4, 1/4, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1/3, 1}, {2/3, 0, 2/3, 0, 1/3, 1/3, 1, 0, 0}, 
   {1, 1/3, 0, 2/3, 1, 0, 0, 0, 0}, {0, 2/3, 0, 1/3, 0, 0, 0, 2/3, 0}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 0, 0, 1/3}, {0, 0, 1/3, 0, 0, 1/3, 0, 1/3, 1/3}, 
   {0, 2/3, 0, 0, 0, 1, 1, 1/3, 0}, {0, 0, 1, 1, 2/3, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 2/3, 0, 0, 0, 1/3, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 1, 0, 2/3, 0}, 
   {1/3, 0, 0, 0, 2/3, 0, 1/3, 0, 1}, {0, 0, 2/3, 0, 2/3, 1/3, 0, 2/3, 0}, 
   {0, 0, 0, 0, 1, 0, 2/3, 1, 0}, {0, 0, 2/3, 2/3, 0, 1, 1/3, 0, 2/3}, 
   {0, 1/3, 0, 0, 1/3, 0, 1/3, 0, 1/3}, {0, 0, 0, 1/3, 1/3, 0, 1/3, 0, 0}, 
   {2/3, 2/3, 0, 1/3, 0, 0, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 1/2}, {1, 1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1, 1, 0, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 1, 1/2, 0, 0}, {0, 0, 1, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0, 1/2}, {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1/2, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 1}, {1, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, {0, 1, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 0, 0, 1, 1/3}, {1/3, 0, 0, 0, 2/3, 1/3, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, {0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 1/3, 0, 2/3, 0, 1, 2/3, 0}, 
   {1, 0, 2/3, 0, 0, 0, 1, 1}, {0, 1, 2/3, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1/2, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 1, 0, 0}, {1, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1/2, 0, 1/2, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 1/2, 0}, 
   {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, {0, 1, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 1, 0, 1/2, 1/2, 0, 0, 1/2, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1/2, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 1, 1/3, 1/3, 0}, {0, 2/3, 0, 1, 1/3, 0, 0, 0, 1}, 
   {2/3, 0, 0, 0, 0, 1/3, 1/3, 1, 0}, {2/3, 0, 2/3, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 2/3, 2/3, 1/3, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {1/3, 2/3, 0, 0, 0, 2/3, 1/3, 0, 0}, 
   {1/3, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 2/3, 1, 0, 1/3, 1/3, 0}, 
   {1/3, 1/3, 2/3, 2/3, 0, 0, 0, 0, 1/3}, {1/3, 0, 2/3, 1/3, 0, 0, 1/3, 0, 
    1/3}, {0, 1/3, 0, 0, 0, 1/3, 0, 1/3, 1/3}, {0, 0, 0, 1/3, 0, 1, 0, 1/3, 
    0}, {1/3, 1, 0, 0, 1/3, 0, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1/3, 0, 1/3, 1/3, 0, 2/3}, {0, 0, 1/3, 0, 1, 1, 0, 1/3, 0}, 
   {1/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 1/3, 1/3, 0, 1/3, 1/3, 0}, 
   {1/3, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, {0, 0, 1/3, 1/3, 1/3, 0, 0, 1/3, 2/3}, 
   {1/3, 2/3, 0, 0, 1, 2/3, 0, 0, 1/3}, {0, 0, 1/3, 1, 0, 0, 1/3, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1/2, 1/2}, {1/2, 0, 0, 1, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1/2, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 1, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 1/3, 0, 2/3, 0, 0}, {1/3, 0, 1/3, 0, 1, 0, 0, 0}, 
   {0, 1/3, 1, 0, 1, 2/3, 0, 0}, {1/3, 0, 0, 1/3, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, {0, 0, 2/3, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 2/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1/2, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 2/3, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 1}, {0, 0, 0, 1, 1/3, 0, 0, 1, 1/3}, 
   {1/3, 0, 1/3, 0, 1/3, 2/3, 1, 0, 2/3}, {1/3, 1/3, 0, 2/3, 0, 0, 0, 1, 0}, 
   {1/3, 1/3, 0, 1/3, 0, 0, 1/3, 1/3, 0}, {0, 0, 1/3, 0, 2/3, 2/3, 0, 1, 0}, 
   {0, 1/3, 0, 2/3, 1/3, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/5, 1, 0, 1/5, 0, 1}, {1/5, 1/5, 3/5, 0, 1/5, 0, 0, 1/5, 4/5}, 
   {4/5, 0, 0, 1, 0, 1, 2/5, 1, 0}, {2/5, 2/5, 0, 2/5, 0, 0, 0, 0, 0}, 
   {4/5, 0, 0, 0, 0, 0, 0, 2/5, 0}, {0, 0, 0, 0, 0, 0, 4/5, 2/5, 0}, 
   {0, 0, 0, 1/5, 0, 1, 3/5, 0, 1}, {0, 0, 0, 0, 1, 0, 4/5, 1, 0}, 
   {0, 4/5, 4/5, 0, 1/5, 2/5, 0, 1/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0}, {0, 2/3, 1/3, 1/3, 0, 0, 0, 1}, 
   {1/3, 0, 0, 0, 1/3, 0, 0, 2/3}, {0, 1/3, 1/3, 1, 0, 2/3, 0, 0}, 
   {1/3, 0, 0, 0, 2/3, 0, 0, 1/3}, {0, 1/3, 2/3, 0, 0, 1/3, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 1/2, 0, 1, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, {1, 0, 1/2, 1, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1/2, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 1, 1/2, 0, 1, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 1, 1, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1, 1}, {1, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1, 0, 0, 0, 1/3, 0}, 
   {0, 2/3, 0, 1/3, 1, 1, 0, 1/3}, {0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 0, 1/3, 1/3, 0, 1, 2/3}, {0, 2/3, 1, 0, 0, 1/3, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 1, 0, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 4/5, 0, 4/5, 0, 0, 0, 0}, 
   {0, 1/5, 0, 2/5, 0, 0, 4/5, 0, 2/5}, {0, 1/5, 2/5, 2/5, 2/5, 0, 2/5, 0, 
    0}, {0, 3/5, 1, 4/5, 2/5, 0, 1/5, 0, 0}, {1/5, 0, 0, 4/5, 0, 0, 0, 1, 
    3/5}, {1, 0, 0, 0, 2/5, 2/5, 0, 3/5, 1/5}, {1, 1/5, 0, 0, 0, 0, 1/5, 0, 
    0}, {3/5, 1/5, 0, 0, 0, 2/5, 1/5, 0, 0}, {0, 0, 1/5, 0, 0, 4/5, 0, 3/5, 
    1/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1/3, 0, 1/3, 0, 0, 2/3}, {1/3, 0, 0, 1/3, 1, 0, 0, 1/3, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1/3}, {1/3, 0, 2/3, 1/3, 0, 1/3, 0, 2/3, 0}, 
   {0, 0, 0, 1/3, 1, 0, 1, 0, 1}, {1/3, 0, 1/3, 0, 0, 2/3, 2/3, 0, 1/3}, 
   {0, 2/3, 0, 2/3, 1, 0, 0, 2/3, 0}, {0, 0, 0, 1/3, 0, 2/3, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 1, 1}, {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1/2, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 1, 0, 1}, {0, 0, 1/2, 1, 0, 1, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 0, 1, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, {1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 1, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, {0, 1/2, 0, 1, 0, 0, 1, 1/2, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1, 1/2, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 0, 1, 0, 0, 0, 1/3, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0, 1/3}, {2/3, 0, 1, 0, 0, 0, 0, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 1, 1/3, 1/3, 0}, {0, 1/3, 0, 2/3, 0, 1, 0, 0, 1/3}, 
   {0, 2/3, 2/3, 1/3, 1/3, 0, 1/3, 0, 0}, {1/3, 0, 1, 2/3, 0, 2/3, 1/3, 0, 
    0}, {1/3, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/3, 0, 1, 0, 1/3, 0}, {2/3, 0, 1/3, 1, 1, 0, 0, 2/3, 2/3}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 1, 0, 0}, {0, 1/3, 2/3, 0, 1/3, 0, 0, 0, 0}, 
   {0, 0, 0, 1/3, 1/3, 0, 2/3, 0, 0}, {0, 0, 1, 0, 0, 1/3, 0, 0, 1/3}, 
   {1/3, 2/3, 0, 1/3, 2/3, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2/3, 0, 1, 2/3}, 
   {0, 1/3, 0, 2/3, 2/3, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 1, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 3/4, 0, 1/2}, 
   {3/4, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/4, 0, 1/2, 0, 0, 1/2, 0, 1/2, 
    1/4}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 
    0}, {0, 1, 0, 0, 1/2, 1/2, 0, 1, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 3/4, 1/2, 0, 0, 1/4, 1/4, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1, 0, 0, 1/3, 0, 0, 1/3}, {0, 0, 0, 1, 0, 2/3, 0, 0, 1/3}, 
   {1/3, 1/3, 0, 0, 0, 0, 1/3, 1, 0}, {0, 1/3, 0, 0, 1, 1/3, 2/3, 0, 1}, 
   {0, 1/3, 1/3, 2/3, 2/3, 0, 0, 1/3, 0}, {0, 0, 1, 1/3, 0, 0, 2/3, 1, 0}, 
   {2/3, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 1/3, 0, 2/3}, 
   {0, 0, 0, 0, 1/3, 1/3, 0, 2/3, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1, 0, 0, 1/3, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 2/3, 0, 0}, 
   {1/3, 1/3, 1/3, 1/3, 0, 1/3, 0, 2/3, 0}, {2/3, 0, 0, 0, 1/3, 0, 0, 0, 0}, 
   {0, 2/3, 1, 0, 0, 1/3, 0, 0, 2/3}, {1/3, 1, 0, 1, 1/3, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 2/3, 1, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1/2, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1/2, 0, 1, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 1, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 0, 0, 2/3, 0}, {0, 1, 1/3, 0, 1, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3}, {1/3, 0, 1/3, 2/3, 1, 0, 0, 0}, 
   {1, 0, 1/3, 0, 1, 2/3, 0, 0}, {0, 1/3, 0, 1, 0, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/3, 1, 0, 1}, 
   {0, 2/3, 0, 1/3, 1, 0, 0, 1/3, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 0, 1/3, 1/3, 0, 1, 0, 1/3}, {0, 0, 0, 2/3, 0, 1, 0, 1, 0}, 
   {2/3, 0, 2/3, 0, 0, 1/3, 0, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1, 0, 1}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 0, 2/3}, {2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 1/3, 0, 1, 1, 0}, {0, 2/3, 1/3, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 2/3, 1/3, 0, 1/3, 1, 0}, {2/3, 0, 0, 1/3, 0, 0, 0, 1}, 
   {0, 0, 2/3, 1/3, 0, 0, 2/3, 1/3}, {0, 2/3, 1/3, 0, 1/3, 1/3, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 2/3, 0, 2/3, 1, 0}, 
   {1/3, 2/3, 0, 1, 0, 2/3, 0, 0, 1}, {0, 1/3, 1, 0, 0, 1/3, 1/3, 2/3, 0}, 
   {0, 0, 0, 1/3, 2/3, 0, 1/3, 0, 0}, {2/3, 1/3, 0, 0, 0, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 0, 1/3, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1/3, 0, 0, 1, 1/3, 0, 0, 2/3}, {1/3, 1/3, 0, 2/3, 0, 2/3, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2}, {1/2, 1/2, 0, 1, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 1, 1, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}, {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1}, {0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, {1/3, 0, 0, 0, 1/3, 1/3, 0, 2/3, 2/3}, 
   {1, 2/3, 0, 0, 1/3, 1/3, 0, 0, 2/3}, {0, 1/3, 1, 1, 2/3, 0, 0, 0, 0}, 
   {1/3, 0, 2/3, 1/3, 0, 2/3, 0, 0, 0}, {0, 1/3, 1, 0, 1/3, 1, 2/3, 0, 0}, 
   {1, 0, 0, 1/3, 0, 0, 2/3, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 2/3}, {0, 1/3, 1, 0, 1, 0, 2/3, 0}, 
   {1/3, 2/3, 2/3, 1/3, 0, 0, 0, 2/3}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/3, 0, 1/3, 0, 2/3, 2/3, 0}, {0, 1, 0, 1/3, 2/3, 0, 0, 0}, 
   {1/3, 0, 1, 0, 1/3, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 1, 1/2}, 
   {0, 1/2, 1, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1/2, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, {1, 0, 0, 1/2, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 2/3, 0, 0, 0, 1/3, 0}, 
   {0, 0, 1/3, 0, 0, 0, 2/3, 0, 0}, {1/3, 1, 1/3, 0, 2/3, 0, 0, 2/3, 0}, 
   {1/3, 1, 0, 2/3, 2/3, 0, 1/3, 0, 0}, {1, 0, 2/3, 0, 0, 0, 1/3, 0, 1}, 
   {1/3, 1, 0, 0, 0, 2/3, 0, 0, 1/3}, {2/3, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 2/3, 0, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 0, 0, 2/3, 0, 0, 1}, {1, 0, 0, 0, 0, 2/3, 1/3, 1/3, 0}, 
   {1/3, 2/3, 0, 2/3, 0, 0, 1/3, 1, 0}, {0, 1, 1, 0, 0, 2/3, 1, 1, 0}, 
   {1/3, 0, 2/3, 2/3, 2/3, 0, 0, 0, 1/3}, {1/3, 0, 0, 2/3, 0, 0, 2/3, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1/2}, {1, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 
    0}, {0, 1/2, 0, 1/2, 0, 1, 0, 1/2, 1}, {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 1/3, 0, 0, 0, 1/3, 2/3}, 
   {2/3, 0, 0, 0, 1/3, 0, 0, 0, 0}, {0, 1/3, 1, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 1, 2/3, 0, 0, 1/3, 1/3}, {0, 1, 0, 0, 2/3, 1, 0, 0, 0}, 
   {1/3, 0, 1, 0, 1/3, 1, 0, 2/3, 2/3}, {1/3, 2/3, 0, 1, 0, 0, 1/3, 0, 0}, 
   {0, 1/3, 2/3, 1/3, 0, 2/3, 0, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1, 0, 1, 1/2}, 
   {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1/2, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1/3, 1}, 
   {1/3, 1, 0, 0, 1/3, 0, 0, 0, 1}, {2/3, 0, 2/3, 1/3, 0, 1, 1, 1, 0}, 
   {2/3, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 1, 0}, 
   {0, 0, 0, 1/3, 0, 1, 1/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 2/3, 1, 0, 1/3, 0, 0}, {0, 2/3, 0, 0, 1/3, 0, 1/3, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 1, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1/2, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1, 0, 1, 1/3}, {2/3, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 2/3, 0, 2/3, 1/3, 1/3, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 2/3}, 
   {0, 0, 1/3, 1, 0, 0, 1, 1/3}, {0, 2/3, 1/3, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 2/3}, {0, 0, 1/3, 0, 2/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 1, 1/2, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/5, 3/5, 0, 2/5, 1/5, 0, 0}, 
   {4/5, 3/5, 0, 0, 1/5, 0, 0, 4/5, 0}, {0, 0, 1/5, 0, 3/5, 0, 2/5, 0, 1/5}, 
   {2/5, 3/5, 0, 2/5, 0, 0, 0, 4/5, 0}, {0, 1/5, 1/5, 0, 3/5, 1/5, 1/5, 0, 
    0}, {2/5, 2/5, 0, 0, 0, 1/5, 4/5, 0, 4/5}, {0, 0, 1, 0, 2/5, 0, 0, 3/5, 
    2/5}, {1/5, 0, 3/5, 0, 1/5, 2/5, 0, 2/5, 1/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 1, 0, 1, 0, 0}, 
   {1/2, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1/2, 0, 1, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 1, 0, 1}, 
   {1/2, 0, 0, 1, 1, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 0, 0, 0, 1/3, 2/3}, 
   {1/3, 0, 1, 1/3, 0, 0, 0, 0, 0}, {0, 0, 0, 1/3, 0, 0, 0, 0, 1}, 
   {1/3, 1/3, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 0, 0, 0, 2/3, 1/3, 1/3, 1/3, 0}, 
   {1/3, 0, 2/3, 0, 1, 0, 0, 0, 1/3}, {1/3, 2/3, 0, 0, 0, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 0, 1/3, 1/3, 2/3, 1/3, 0, 0}, {0, 0, 1/3, 2/3, 0, 1, 0, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 2/3, 0, 0, 1/3, 0, 1}, {0, 2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 1/3, 0, 0, 0, 2/3, 0, 1/3, 2/3}, {1/3, 0, 1, 0, 0, 0, 1/3, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 2/3, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 1, 1, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 1, 1/2, 1/2, 0, 0, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, {0, 0, 1/2, 0, 1, 1, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 1, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 4/5, 0, 1/5, 1/5, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 2/5, 0, 3/5, 0, 4/5, 0, 1/5, 1/5}, 
   {4/5, 4/5, 0, 0, 0, 0, 2/5, 0, 0}, {0, 0, 2/5, 0, 2/5, 0, 0, 4/5, 4/5}, 
   {0, 4/5, 0, 2/5, 2/5, 0, 0, 2/5, 0}, {4/5, 0, 0, 1/5, 4/5, 0, 1, 0, 0}, 
   {2/5, 0, 0, 0, 3/5, 1, 0, 1/5, 1/5}, {0, 0, 4/5, 1/5, 0, 2/5, 3/5, 0, 
    2/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/3, 0, 1/3, 1/3, 0, 0, 0}, {0, 1/3, 0, 1/3, 0, 0, 0, 0, 2/3}, 
   {0, 1, 0, 0, 1/3, 0, 2/3, 2/3, 0}, {1/3, 0, 1, 1/3, 0, 1/3, 0, 0, 2/3}, 
   {0, 1, 0, 0, 1, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 0, 1/3, 2/3, 2/3, 0}, 
   {2/3, 2/3, 0, 2/3, 0, 1, 0, 0, 0}, {0, 0, 0, 1/3, 1/3, 0, 1/3, 1, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 0, 1, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {1, 0, 1, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 1/2, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1/2, 1}, {1/2, 0, 1, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 1, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 1/2, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1/3, 1, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 0, 0, 1, 0, 2/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 2/3, 1/3, 1/3, 0, 0, 2/3, 2/3}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 1, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 1/3, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 1/3, 0, 0}, {0, 0, 2/3, 0, 1/3, 1/3, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 2/3, 1, 0}, {0, 2/3, 1, 0, 0, 0, 1/3, 1/3}, 
   {0, 1/3, 0, 1/3, 2/3, 0, 0, 0}, {2/3, 0, 1/3, 0, 0, 0, 1/3, 1}, 
   {0, 0, 0, 0, 2/3, 1/3, 0, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/3, 0, 0, 1, 2/3}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2/3, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 2/3, 1, 0, 1/3, 1}, 
   {0, 1/3, 1, 1/3, 0, 1/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 1/3, 0, 1}, 
   {1/3, 0, 1, 0, 1/3, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0}, {0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 1/2, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 1, 0, 1, 0, 0, 0, 1}, {0, 1/2, 1, 1/2, 0, 0, 1, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/4, 0, 0, 3/4, 0, 0, 0}, 
   {1/4, 0, 1, 1, 1/4, 0, 3/4, 0, 0}, {0, 1/4, 0, 1/4, 0, 3/4, 0, 0, 1/2}, 
   {3/4, 3/4, 0, 1/4, 0, 0, 1/4, 0, 0}, {0, 0, 0, 3/4, 1/4, 1/4, 0, 1/2, 
    1/2}, {3/4, 0, 1/4, 0, 3/4, 0, 0, 3/4, 0}, {0, 1/4, 1/4, 1/4, 3/4, 0, 0, 
    0, 3/4}, {0, 1, 0, 1/2, 3/4, 0, 0, 1/4, 0}, {1/4, 0, 1, 0, 0, 1, 1/2, 0, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {1, 0, 0, 0, 0, 2/3, 0, 0, 1/3}, {1/3, 0, 0, 2/3, 0, 2/3, 0, 2/3, 1/3}, 
   {0, 1, 1, 2/3, 2/3, 0, 1, 1/3, 0}, {0, 1, 1, 0, 0, 2/3, 0, 0, 1/3}, 
   {1, 0, 0, 2/3, 2/3, 0, 1/3, 1/3, 0}, {0, 1/3, 1, 0, 0, 0, 0, 2/3, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1, 1/2, 0}, {0, 0, 1, 1, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 0, 1, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/5, 0, 0, 0, 3/5, 0, 0, 3/5, 2/5}, 
   {0, 0, 0, 2/5, 1, 0, 0, 1, 0}, {2/5, 4/5, 0, 3/5, 0, 3/5, 3/5, 0, 3/5}, 
   {0, 2/5, 0, 2/5, 0, 0, 0, 2/5, 0}, {2/5, 2/5, 0, 0, 0, 0, 2/5, 2/5, 0}, 
   {0, 0, 2/5, 0, 0, 0, 4/5, 0, 2/5}, {2/5, 0, 2/5, 1/5, 0, 3/5, 0, 1/5, 0}, 
   {0, 2/5, 0, 0, 3/5, 0, 1, 0, 1}, {0, 0, 2/5, 1/5, 0, 1, 0, 3/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1, 1/3, 0, 1, 0, 0, 0}, 
   {1/3, 1, 0, 0, 1/3, 0, 0, 0, 2/3}, {0, 0, 1/3, 0, 1/3, 0, 2/3, 2/3, 0}, 
   {1/3, 1/3, 0, 1/3, 0, 1, 2/3, 0, 0}, {2/3, 0, 1, 0, 1/3, 0, 0, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 1/2, 0, 0, 1/2, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1/2, 1, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, 
 {{{11/19, 1/19, 3/19, 0, 1/19, 16/19, 7/19, 0, 4/19}, 
   {0, 0, 6/19, 9/19, 0, 13/19, 1, 0, 6/19}, {8/19, 8/19, 0, 0, 11/19, 0, 0, 
    1, 1}, {0, 0, 8/19, 5/19, 0, 5/19, 0, 15/19, 9/19}, 
   {0, 2/19, 0, 12/19, 15/19, 0, 13/19, 0, 0}, {0, 10/19, 12/19, 0, 15/19, 0, 
    5/19, 0, 4/19}, {0, 10/19, 0, 6/19, 0, 6/19, 0, 4/19, 4/19}, 
   {6/19, 4/19, 0, 4/19, 0, 0, 6/19, 0, 0}, {0, 0, 0, 0, 4/19, 0, 6/19, 
    10/19, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0, 0}, {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1/2, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {1, 1, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 1, 0, 0, 0, 0, 1/3, 1, 0}, 
   {1/3, 0, 1, 0, 0, 2/3, 0, 0, 1/3}, {0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0, 0}, {2/3, 1/3, 0, 0, 0, 0, 2/3, 0, 1}, 
   {0, 1/3, 2/3, 2/3, 2/3, 0, 0, 0, 1/3}, {1/3, 0, 1, 0, 2/3, 0, 1/3, 1/3, 
    0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {1, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 1, 0, 0, 1/3}, {0, 0, 0, 1, 1/3, 0, 1/3, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 2/3, 0, 1}, {2/3, 0, 0, 1/3, 1/3, 0, 0, 2/3, 1/3}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1/3}, {2/3, 2/3, 0, 0, 0, 1/3, 1/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/4, 0, 0, 1/4, 1/2, 0, 0, 1/2}, {0, 0, 1/4, 0, 0, 0, 3/4, 0, 3/4}, 
   {1/4, 0, 1/2, 3/4, 1/2, 0, 0, 1/4, 0}, {1/4, 0, 0, 1/4, 0, 0, 1/2, 3/4, 
    0}, {1/2, 1/2, 0, 0, 1/2, 3/4, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/4, 1/4, 0, 
    1/2, 0}, {0, 1/4, 1/4, 3/4, 0, 1/2, 0, 0, 0}, 
   {1/2, 3/4, 0, 1, 1/4, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{3/4, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 3/4, 3/4, 0, 0}, 
   {3/4, 3/4, 0, 1/4, 0, 0, 0, 0, 0}, {1/4, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 1/4, 0, 0, 3/4, 0}, {0, 1, 0, 0, 0, 1/4, 0, 0, 3/4}, 
   {0, 1/4, 3/4, 0, 1/4, 0, 0, 3/4, 1/4}, {1, 0, 1, 0, 0, 1/4, 0, 0, 3/4}, 
   {0, 1/2, 0, 1/4, 1/4, 0, 3/4, 3/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1/2, 1, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 1, 0, 1, 1/2, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 2/5, 0, 0, 3/5}, 
   {0, 2/5, 4/5, 3/5, 0, 0, 2/5, 0, 1/5}, {4/5, 4/5, 0, 0, 3/5, 1, 1, 1/5, 
    0}, {0, 0, 0, 0, 1, 3/5, 0, 0, 1}, {4/5, 2/5, 0, 1, 0, 0, 3/5, 3/5, 0}, 
   {0, 0, 4/5, 0, 1, 3/5, 0, 0, 1/5}, {2/5, 0, 4/5, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 2/5, 2/5, 0, 2/5, 0, 0, 0}, {0, 0, 0, 0, 2/5, 0, 0, 4/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 2/3, 1/3}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 1/3}, {0, 0, 0, 0, 1/3, 1, 1, 0, 1/3}, 
   {2/3, 0, 2/3, 1/3, 0, 0, 0, 1, 0}, {0, 0, 2/3, 1/3, 0, 0, 2/3, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1/3, 0, 2/3}, {2/3, 0, 0, 1, 0, 2/3, 1/3, 0, 0}, 
   {0, 0, 0, 0, 1/3, 1/3, 0, 1, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 1/3, 0, 0, 0, 2/3, 0}, {1, 1/3, 0, 0, 1, 1/3, 0, 0, 0}, 
   {0, 2/3, 1, 0, 1/3, 1/3, 0, 0, 2/3}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1/3, 1/3, 2/3, 1/3, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0, 2/3}, {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/3, 0, 1/3, 1/3, 0, 0}, 
   {0, 0, 0, 1/3, 0, 0, 1, 1/3}, {2/3, 0, 0, 1/3, 2/3, 1/3, 0, 0}, 
   {0, 2/3, 1/3, 0, 1/3, 0, 1, 1}, {2/3, 0, 0, 1/3, 0, 1, 0, 2/3}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1/2, 1, 0}, {1, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 1, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 1/2, 0, 1}, {0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 3/4, 0, 0, 1/4, 1}, 
   {1, 0, 0, 1/2, 0, 1/4, 1/4, 0, 0}, {3/4, 0, 1/4, 0, 0, 0, 0, 1/4, 1/4}, 
   {3/4, 0, 0, 0, 3/4, 1/2, 1/2, 0, 1/4}, {0, 3/4, 1, 3/4, 0, 0, 1/4, 0, 0}, 
   {1, 1/4, 0, 0, 0, 1, 0, 0, 1}, {0, 3/4, 1, 0, 0, 3/4, 0, 0, 0}, 
   {3/4, 0, 0, 1, 3/4, 0, 0, 1/4, 0}, {0, 1/4, 0, 1/4, 0, 0, 3/4, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1/2, 1, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 1/3, 0, 1, 1/3, 0}, {0, 0, 1, 0, 1, 0, 2/3, 1}, 
   {0, 0, 0, 1, 0, 0, 2/3, 1}, {0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 1, 0, 1/3, 1, 1/3, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 1/2, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {1, 0, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {1, 1, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 1, 0, 0, 1/2, 1, 0, 1}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 3/4, 0, 0, 1/2, 0, 1/4, 0}, 
   {1/4, 1/4, 0, 1/4, 3/4, 0, 0, 0, 3/4}, {0, 1/4, 1/4, 0, 1/2, 0, 0, 1/4, 
    3/4}, {1/4, 0, 0, 1/2, 1/4, 0, 1/4, 0, 1/4}, {1, 0, 0, 0, 0, 0, 1/4, 1/4, 
    0}, {0, 0, 1/4, 0, 1/2, 0, 1/2, 0, 1}, {0, 0, 1/4, 0, 1/4, 0, 1/2, 3/4, 
    0}, {1/4, 0, 0, 1/2, 0, 1, 0, 0, 1/4}, {1/4, 0, 1/4, 0, 0, 1/4, 1/2, 1/2, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1/3, 0, 1, 1/3, 0, 0, 2/3}, 
   {1, 1, 0, 1, 0, 1, 0, 2/3, 0}, {0, 0, 1/3, 1, 0, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 0, 0, 0, 2/3, 1/3}, {0, 0, 0, 0, 1/3, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 2/3, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 0, 0, 0, 2/3, 1, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1/2, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 2/3, 0, 0, 1/3, 1/3}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1/3, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2/3, 1/3, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {2/3, 0, 0, 2/3, 0, 0, 1/3, 2/3, 0}, 
   {1, 0, 0, 0, 0, 2/3, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 1/3, 1/3, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 1, 1, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 2/3, 0, 0, 0, 1/3, 1, 0, 1/3}, 
   {1/3, 1/3, 0, 1/3, 0, 0, 1, 1/3, 0}, {1/3, 0, 1, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 0, 0, 1/3, 1/3, 1/3, 0, 1/3}, {1/3, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 1/3, 1/3, 0}, {0, 0, 1, 1/3, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 2/3, 1/3, 2/3, 0, 1/3, 0, 0}, {1/3, 2/3, 0, 0, 0, 0, 0, 1, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {1, 1/2, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, {0, 1/2, 0, 1, 1/2, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 1, 1, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1, 1, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 1, 0, 1, 1/2}, 
   {0, 1, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {1, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 1/2, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/3, 0, 1, 0, 0, 0}, {1/3, 1, 0, 0, 1, 0, 0, 2/3, 0}, 
   {0, 2/3, 2/3, 0, 2/3, 0, 2/3, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 1, 2/3, 1, 0, 0, 0, 2/3}, 
   {2/3, 0, 1, 0, 1, 0, 0, 2/3, 0}, {1/3, 1, 0, 1/3, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 1/4, 1, 0, 0, 0, 1/4, 3/4}, 
   {0, 0, 1, 1, 1/4, 0, 0, 0, 0}, {0, 0, 0, 0, 1/4, 1, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/4, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 3/4, 1, 0, 1/2, 0}, 
   {0, 1, 0, 0, 3/4, 0, 1, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/4, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 1, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {1/3, 0, 0, 1, 2/3, 0, 0, 0, 0}, 
   {1/3, 0, 1, 1/3, 0, 0, 2/3, 0, 0}, {0, 0, 1/3, 0, 0, 2/3, 1, 1/3, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 2/3, 1}, {0, 1/3, 0, 0, 0, 1, 0, 2/3, 0}, 
   {0, 0, 0, 0, 1/3, 1, 0, 2/3, 0}, {1/3, 1, 0, 0, 0, 0, 1, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 2/3, 0, 0, 0, 1/3, 1/3}, 
   {1/3, 0, 0, 0, 2/3, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 0, 1/3, 1/3}, {0, 1, 0, 0, 2/3, 1, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 2/3}, {2/3, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1/3, 0, 1/3, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1/3, 0, 0}, {0, 0, 0, 1, 0, 2/3, 1, 0, 0}, 
   {2/3, 2/3, 0, 0, 1/3, 1/3, 0, 1/3, 1/3}, {2/3, 0, 0, 1/3, 0, 0, 1/3, 2/3, 
    0}, {0, 0, 2/3, 0, 0, 1/3, 0, 0, 2/3}, {0, 0, 0, 1/3, 1/3, 0, 1/3, 1/3, 
    1}, {0, 0, 0, 2/3, 0, 1, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 1/3, 0, 2/3, 0}, {0, 1/3, 1/3, 1, 0, 2/3, 0, 0}, 
   {1/3, 0, 0, 0, 2/3, 1/3, 1/3, 0}, {1, 0, 0, 0, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 2/3, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 2/3, 0, 1}, 
   {2/3, 0, 2/3, 2/3, 1/3, 0, 0, 1/3}, {0, 2/3, 1/3, 1/3, 0, 1/3, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1/2, 0, 1, 1}, {1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1, 0, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1/2, 0, 0, 1/2, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 1/3, 1, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 0, 0, 2/3, 0, 1}, {1, 0, 0, 2/3, 0, 0, 0, 0, 1}, 
   {1/3, 0, 0, 1/3, 0, 2/3, 0, 1/3, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 1, 1/3, 0, 1/3, 0}, {1/3, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 1/2, 0, 1/2, 1/2, 0, 1/4, 0}, 
   {1/2, 1/2, 0, 3/4, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/4, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/4, 0, 1/4, 0, 1, 1/4, 0, 1/2}, {1/4, 0, 3/4, 1/2, 1/4, 1/4, 1/4, 0, 
    1/4}, {0, 1/2, 1/2, 1, 0, 0, 1/2, 1/2, 0}, {3/4, 0, 0, 0, 1, 0, 3/4, 0, 
    3/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 1/3, 0, 2/3, 0, 0}, 
   {1/3, 1, 0, 0, 0, 1/3, 0, 0, 2/3}, {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, {0, 2/3, 0, 2/3, 2/3, 0, 2/3, 0, 0}, 
   {2/3, 0, 1/3, 2/3, 0, 1/3, 0, 0, 0}, {1, 1/3, 0, 1, 1/3, 0, 0, 2/3, 0}, 
   {0, 0, 1, 0, 0, 1, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1, 1, 1/2, 0}, {1/2, 1/2, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 2/3, 0, 0, 0, 1/3}, {0, 1/3, 0, 0, 2/3, 1, 1/3, 0}, 
   {0, 1/3, 1/3, 1, 1/3, 1/3, 1/3, 0}, {1/3, 0, 0, 2/3, 2/3, 1/3, 1, 0}, 
   {0, 1/3, 2/3, 0, 2/3, 0, 0, 1}, {2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1/2}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 1, 1, 0}, {0, 1, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 3/5, 0, 2/5, 1/5, 0, 0, 0, 1/5}, 
   {1/5, 4/5, 0, 2/5, 0, 1/5, 0, 1/5, 0}, {3/5, 0, 0, 0, 0, 1/5, 1, 4/5, 0}, 
   {0, 3/5, 3/5, 0, 1/5, 4/5, 1/5, 0, 0}, {0, 0, 0, 2/5, 4/5, 3/5, 1/5, 0, 
    1/5}, {0, 0, 4/5, 0, 1/5, 0, 0, 0, 4/5}, {3/5, 0, 0, 0, 0, 2/5, 0, 1/5, 
    2/5}, {3/5, 0, 0, 1/5, 0, 2/5, 0, 0, 1/5}, {0, 0, 0, 2/5, 3/5, 0, 1, 1, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 2/3, 0}, {1, 0, 1, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 2/3, 0, 0}, {1/3, 1/3, 0, 0, 0, 0, 0, 1/3, 2/3}, 
   {0, 0, 0, 0, 2/3, 1/3, 0, 0, 1}, {0, 0, 2/3, 1, 1, 0, 1/3, 1/3, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 2/3, 1}, {0, 0, 1/3, 0, 0, 1, 1, 1/3, 0}, 
   {2/3, 2/3, 0, 1/3, 0, 0, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1, 0, 0, 1}, {1, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 2/3, 0, 0, 1/3, 1, 0}, 
   {2/3, 0, 0, 0, 0, 1/3, 0, 0, 0}, {0, 2/3, 0, 1, 1/3, 0, 2/3, 0, 0}, 
   {1/3, 1, 0, 1, 0, 0, 1/3, 1/3, 0}, {0, 0, 1, 0, 1, 2/3, 0, 0, 0}, 
   {1/3, 1, 0, 0, 1, 2/3, 0, 0, 0}, {0, 0, 2/3, 1, 0, 0, 0, 0, 1}, 
   {2/3, 0, 1, 1, 0, 1/3, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1/2, 1/2, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 2/3, 0, 0, 1/3, 0}, {0, 0, 0, 1/3, 0, 0, 0, 1/3, 1}, 
   {0, 0, 1, 2/3, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1/3, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 2/3, 0}, {0, 1/3, 0, 1/3, 2/3, 0, 1, 0, 0}, 
   {1, 0, 0, 2/3, 0, 1, 0, 0, 0}, {1/3, 0, 0, 0, 0, 2/3, 2/3, 0, 2/3}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 1, 1/2, 1, 0, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 1/2, 1/2, 1/2, 1/2, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1/2}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 0, 1, 1/2}, {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 1/2, 1, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/3, 0, 1/3}, {2/3, 0, 1/3, 1/3, 0, 0, 1, 0}, 
   {0, 0, 1/3, 1, 0, 1/3, 0, 1}, {0, 2/3, 1/3, 1, 0, 1/3, 0, 1/3}, 
   {2/3, 0, 0, 0, 1, 0, 1/3, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/3, 0, 1/3, 1/3, 1, 0, 0, 2/3, 0}, {0, 1/3, 0, 1/3, 1/3, 0, 2/3, 2/3, 
    0}, {1/3, 0, 1, 2/3, 0, 1, 0, 0, 0}, {0, 1/3, 0, 1, 1/3, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, {2/3, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1/4}, {0, 1/2, 0, 1/4, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 0, 1}, {1/2, 0, 1, 1/4, 0, 0, 1/2, 0, 3/4}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1/4, 0, 1/4, 3/4, 1/4, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 2/3}, {0, 1/3, 1, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 1, 0, 1/3}, {0, 1/3, 0, 0, 1/3, 0, 2/3, 1/3, 0}, 
   {0, 2/3, 0, 0, 1, 2/3, 0, 0, 0}, {0, 0, 0, 1, 0, 1/3, 0, 1/3, 0}, 
   {1/3, 0, 1/3, 2/3, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/5, 0, 0, 0, 0, 2/5, 0, 4/5, 0}, 
   {0, 2/5, 0, 2/5, 0, 0, 0, 2/5, 2/5}, {2/5, 4/5, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/5, 0, 3/5, 4/5, 1, 0, 0, 0}, {1/5, 0, 1, 0, 1/5, 0, 2/5, 0, 4/5}, 
   {2/5, 1, 0, 3/5, 0, 1, 0, 0, 0}, {1/5, 0, 1, 1/5, 0, 1/5, 2/5, 0, 0}, 
   {2/5, 1/5, 0, 2/5, 1, 0, 0, 0, 0}, {0, 3/5, 2/5, 0, 3/5, 2/5, 0, 2/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1/2, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 1/2, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 1, 1, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1/2, 1, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 4/5, 0, 1, 0, 0, 0, 1, 1/5}, 
   {0, 0, 0, 0, 1/5, 1, 1, 0, 0}, {0, 4/5, 2/5, 1, 0, 0, 1/5, 0, 0}, 
   {0, 4/5, 0, 0, 1/5, 3/5, 0, 1/5, 1}, {0, 0, 0, 1, 4/5, 0, 3/5, 0, 0}, 
   {4/5, 0, 4/5, 0, 0, 0, 0, 0, 0}, {2/5, 0, 0, 4/5, 2/5, 0, 2/5, 0, 4/5}, 
   {0, 0, 0, 0, 4/5, 4/5, 0, 4/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 0, 1/2, 0, 1/2, 1, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1, 0}, {1, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1, 0, 1}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/5, 1, 0, 0, 3/5, 3/5, 0}, {0, 2/5, 0, 0, 1/5, 1, 0, 0, 3/5}, 
   {0, 0, 0, 0, 0, 2/5, 0, 4/5, 2/5}, {2/5, 2/5, 0, 4/5, 0, 0, 0, 0, 0}, 
   {2/5, 0, 2/5, 0, 2/5, 2/5, 0, 2/5, 0}, {0, 0, 0, 0, 3/5, 3/5, 1, 1/5, 0}, 
   {2/5, 0, 4/5, 1/5, 0, 0, 2/5, 0, 3/5}, {0, 0, 0, 1, 4/5, 0, 0, 0, 3/5}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{4/5, 0, 1/5, 2/5, 0, 0, 0, 0}, 
   {0, 0, 3/5, 0, 0, 2/5, 0, 2/5}, {0, 2/5, 0, 4/5, 3/5, 0, 1/5, 0}, 
   {4/5, 0, 3/5, 1, 0, 1/5, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 4/5, 0, 3/5, 0, 0, 1/5, 0}, {0, 0, 4/5, 3/5, 0, 4/5, 1, 0}, 
   {0, 0, 1/5, 0, 1, 3/5, 0, 3/5}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {1/2, 0, 1, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/4, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1, 0, 1/4, 1/2, 0, 0, 1/2}, {1, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {3/4, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/4, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/4, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 1, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1/2, 1, 0}, {0, 0, 0, 1, 1, 0, 1/2, 0, 1}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1/3, 0, 0, 1/3, 0, 0, 0, 2/3}, {0, 0, 1, 0, 1, 2/3, 0, 2/3, 0}, 
   {1, 1/3, 0, 1/3, 0, 1/3, 2/3, 0, 0}, {0, 2/3, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 1/4, 0, 0, 1/4, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/4, 0, 3/4, 1/4, 0}, {1/4, 3/4, 0, 1/4, 1/4, 0, 0, 0, 0}, 
   {1, 0, 0, 3/4, 0, 1, 1/4, 0, 1/4}, {0, 1/4, 1, 0, 0, 0, 0, 1, 3/4}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 3/4, 3/4, 1, 0, 3/4, 1/2, 0, 1/4}, 
   {1, 0, 0, 0, 3/4, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/4, 0, 3/4, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1, 0, 1, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, {1/2, 1/2, 0, 0, 1, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/5, 3/5, 0, 1/5, 3/5, 2/5, 2/5, 0}, 
   {0, 0, 4/5, 2/5, 0, 1, 0, 0, 0}, {2/5, 4/5, 0, 0, 0, 0, 3/5, 0, 4/5}, 
   {0, 0, 3/5, 2/5, 1, 0, 0, 0, 1/5}, {3/5, 1, 0, 0, 0, 1/5, 1/5, 1, 0}, 
   {0, 0, 3/5, 2/5, 4/5, 0, 1/5, 0, 1/5}, {2/5, 0, 1/5, 1/5, 0, 0, 0, 1/5, 
    0}, {1/5, 1/5, 0, 0, 0, 2/5, 1/5, 0, 2/5}, {0, 0, 0, 1/5, 1/5, 0, 0, 3/5, 
    1/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 0, 1, 1, 1/2, 0, 0}, {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 1/2, 0, 0, 1/2, 1, 1, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 1, 0, 1}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1, 1/2, 0, 0}, {0, 1, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1/3, 2/3, 0, 2/3, 1/3, 1/3, 0, 0}, 
   {1, 0, 1, 1/3, 0, 2/3, 1/3, 0, 0}, {1/3, 2/3, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/3, 2/3, 1/3, 2/3, 1/3, 0, 0, 0}, {1/3, 0, 1, 1/3, 1, 0, 0, 1/3, 0}, 
   {0, 1, 0, 1/3, 0, 1/3, 1, 0, 2/3}, {1/3, 0, 0, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 1/3, 0, 1/3, 0, 0, 0}, {1/3, 1/3, 0, 0, 1/3, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1, 1/2}, {0, 1/2, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 1/2, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1/2, 1, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 1, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 0, 1, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 2/5, 0, 0, 0, 1}, {0, 0, 0, 3/5, 0, 1, 1, 0, 0}, 
   {1/5, 0, 3/5, 0, 0, 4/5, 2/5, 0, 0}, {1, 1, 0, 0, 3/5, 0, 0, 0, 2/5}, 
   {0, 0, 3/5, 2/5, 2/5, 0, 1, 1, 0}, {1/5, 0, 0, 2/5, 0, 4/5, 0, 1/5, 1}, 
   {0, 0, 0, 2/5, 4/5, 0, 1/5, 0, 1/5}, {3/5, 3/5, 0, 0, 0, 0, 0, 4/5, 0}, 
   {0, 1/5, 1/5, 2/5, 3/5, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 0, 1/2, 1, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1}, {0, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1, 0, 1/2, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 0, 0, 1/4}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1, 1, 0}, {0, 1, 1, 1/4, 0, 0, 0, 1/4, 0}, 
   {1/4, 0, 0, 0, 0, 1, 1, 1/4, 0}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 3/4, 1, 0, 0, 0, 0}, {0, 1/4, 0, 1/2, 1, 0, 1/4, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 3/4, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1/2}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1/2, 1, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 2/3, 1, 0, 0, 0, 0}, 
   {2/3, 1/3, 0, 1/3, 1/3, 0, 0, 0, 1/3}, {0, 0, 1/3, 1/3, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 1/3, 1/3}, {0, 0, 1/3, 0, 1/3, 0, 0, 0, 2/3}, 
   {0, 1/3, 0, 1/3, 0, 1, 0, 0, 0}, {1/3, 0, 0, 1/3, 2/3, 2/3, 1/3, 0, 0}, 
   {1/3, 1/3, 0, 0, 2/3, 0, 2/3, 2/3, 0}, {0, 0, 2/3, 1/3, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1, 0, 1/2, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 1, 0, 1/2, 1, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, {0, 1, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 1/2, 1, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 1, 1/2, 0}, {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 1, 1/3, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, {2/3, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 1, 0, 2/3, 2/3}, {0, 1, 0, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {1, 0, 1, 2/3, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 1/3, 2/3, 0, 0}, 
   {0, 0, 1/3, 0, 2/3, 0, 0, 0, 1/3}, {1/3, 1/3, 0, 2/3, 0, 0, 1/3, 1/3, 0}, 
   {1/3, 0, 0, 2/3, 0, 1, 0, 2/3, 0}, {0, 2/3, 1, 0, 1/3, 0, 1, 1, 0}, 
   {1, 1/3, 0, 0, 0, 2/3, 0, 0, 1/3}, {0, 2/3, 1, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 2/3, 1, 0, 0, 0, 0}, {2/3, 0, 0, 0, 1, 0, 2/3, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1, 0}, {0, 0, 0, 0, 1/2, 1/2, 1, 1/2}, 
   {0, 0, 1, 1/2, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 2/3, 0, 1/3, 1/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 1/3, 1, 0}, 
   {2/3, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/3, 1/3, 0, 1, 0, 0, 0}, 
   {0, 1/3, 0, 0, 0, 2/3, 0, 0, 1/3}, {1, 1, 0, 0, 1/3, 0, 2/3, 0, 0}, 
   {1/3, 1, 0, 1/3, 0, 1, 0, 0, 0}, {2/3, 2/3, 0, 0, 1/3, 0, 0, 0, 1}, 
   {0, 0, 1, 2/3, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1}, {1, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 1, 0}, {0, 1, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 1, 1}, {0, 1/2, 0, 1, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1, 0}, {1/2, 1/2, 0, 1/2, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 1/2, 1, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 1, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 1, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, {1/4, 1, 0, 1/2, 3/4, 0, 1/2, 0, 3/4}, 
   {0, 0, 3/4, 1/4, 0, 0, 1, 1, 0}, {0, 3/4, 1/4, 1/4, 0, 0, 0, 0, 1/4}, 
   {0, 1, 0, 0, 1/4, 1/4, 0, 1/2, 0}, {0, 0, 1/4, 1, 3/4, 0, 0, 0, 1}, 
   {0, 1/4, 0, 0, 0, 3/4, 0, 0, 3/4}, {3/4, 0, 0, 0, 0, 0, 1/4, 3/4, 0}, 
   {3/4, 0, 3/4, 0, 1/4, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/3, 0, 1/3, 2/3, 0}, {0, 0, 1, 0, 0, 0, 1/3, 1, 0}, 
   {0, 2/3, 0, 0, 1/3, 0, 0, 0, 1}, {2/3, 0, 0, 1/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 1/3, 1, 1/3, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 2/3, 1/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 1/3, 1/3, 0, 1}, {0, 0, 2/3, 0, 1/3, 1, 0, 0, 1}, 
   {1/3, 1, 0, 0, 0, 0, 2/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 1, 0, 1/3, 0, 0, 0, 0}, {1/3, 0, 1, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 0, 1, 2/3, 0, 0, 0}, {0, 1/3, 1/3, 0, 1/3, 0, 2/3, 2/3}, 
   {1, 0, 0, 1/3, 0, 2/3, 2/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 4/5, 1, 0, 4/5, 0, 0, 0, 1/5}, {0, 0, 1/5, 4/5, 0, 0, 0, 4/5, 1}, 
   {1, 1/5, 0, 2/5, 0, 0, 1/5, 1, 0}, {0, 0, 0, 4/5, 2/5, 0, 3/5, 0, 0}, 
   {4/5, 0, 0, 0, 0, 2/5, 1/5, 0, 0}, {0, 0, 0, 4/5, 0, 0, 1, 0, 0}, 
   {0, 4/5, 1, 0, 0, 4/5, 0, 1/5, 0}, {1, 1/5, 0, 0, 2/5, 0, 1/5, 0, 1}, 
   {0, 0, 1/5, 0, 4/5, 2/5, 0, 3/5, 2/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/5, 3/5, 1, 0, 0, 4/5, 0}, 
   {1/5, 3/5, 0, 0, 0, 1, 2/5, 0, 4/5}, {2/5, 0, 3/5, 1/5, 3/5, 0, 2/5, 2/5, 
    0}, {0, 0, 0, 2/5, 0, 0, 0, 2/5, 0}, {0, 2/5, 0, 0, 0, 0, 0, 0, 2/5}, 
   {2/5, 2/5, 0, 0, 0, 0, 0, 0, 0}, {4/5, 0, 1, 0, 0, 1, 0, 0, 2/5}, 
   {0, 2/5, 1/5, 0, 0, 1, 2/5, 4/5, 0}, {1/5, 1/5, 0, 1, 1, 0, 4/5, 0, 4/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 0, 0, 1, 1}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 
    1/2}, {0, 1, 1, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 2/3, 2/3, 0, 0, 1/3}, 
   {2/3, 1, 0, 1/3, 0, 0, 1, 0, 1/3}, {1/3, 0, 0, 0, 2/3, 0, 1, 1/3, 0}, 
   {0, 0, 2/3, 1, 0, 2/3, 1/3, 0, 0}, {1/3, 0, 0, 0, 0, 0, 0, 2/3, 1}, 
   {0, 2/3, 2/3, 0, 0, 0, 1/3, 0, 2/3}, {1/3, 0, 1/3, 2/3, 0, 0, 0, 0, 1/3}, 
   {1, 0, 0, 0, 1/3, 1/3, 2/3, 0, 0}, {0, 1/3, 0, 2/3, 0, 0, 0, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 1/2, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1, 0, 1/2, 1, 0}, {0, 0, 1, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1/2, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1/2, 0, 1, 1, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1, 1, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1, 0, 1/2, 0, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1/3, 0, 1, 0}, 
   {2/3, 0, 1, 0, 0, 1/3, 0, 1/3}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 2/3, 2/3}, {0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 1/3, 1, 1/3, 0, 1}, {0, 2/3, 1/3, 0, 0, 0, 1/3, 2/3}, 
   {0, 0, 1, 0, 2/3, 2/3, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{11/17, 3/17, 0, 0, 8/17, 12/17, 0, 3/17, 0}, 
   {5/17, 3/17, 0, 2/17, 0, 4/17, 0, 1/17, 8/17}, 
   {0, 0, 5/17, 6/17, 0, 0, 5/17, 0, 1}, {11/17, 5/17, 0, 0, 0, 0, 1/17, 0, 
    11/17}, {2/17, 0, 3/17, 6/17, 0, 0, 0, 7/17, 2/17}, 
   {0, 2/17, 5/17, 6/17, 4/17, 0, 2/17, 5/17, 0}, 
   {0, 6/17, 6/17, 0, 0, 0, 10/17, 12/17, 0}, {0, 6/17, 14/17, 0, 8/17, 
    12/17, 2/17, 0, 0}, {0, 0, 0, 6/17, 4/17, 0, 12/17, 12/17, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 1, 1, 1, 0, 0, 1/2, 0}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1}, {1, 0, 0, 0, 1/2, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 0, 1/3, 1/3, 0, 2/3}, 
   {0, 0, 1, 1/3, 0, 0, 1/3, 1}, {2/3, 0, 0, 0, 1, 1/3, 0, 0}, 
   {0, 0, 2/3, 0, 1/3, 2/3, 1/3, 1/3}, {0, 2/3, 0, 2/3, 1, 0, 1/3, 1/3}, 
   {0, 0, 1, 1/3, 0, 1, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 1, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 1}, {1, 0, 0, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1/3, 1/3, 0, 0, 2/3}, {1/3, 0, 1/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 2/3}, {0, 2/3, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 2/3}, {0, 1/3, 1/3, 0, 0, 2/3, 2/3, 0}, 
   {1, 0, 0, 1, 1, 2/3, 0, 0}, {0, 1/3, 1, 0, 2/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{3/17, 0, 6/17, 2/17, 16/17, 0, 0, 8/17, 0}, {9/17, 16/17, 0, 8/17, 0, 
    6/17, 0, 0, 0}, {3/17, 2/17, 6/17, 0, 4/17, 0, 0, 6/17, 10/17}, 
   {0, 1/17, 2/17, 0, 8/17, 2/17, 2/17, 7/17, 0}, 
   {2/17, 1/17, 0, 0, 10/17, 0, 0, 11/17, 0}, {7/17, 0, 1, 0, 0, 0, 11/17, 0, 
    1/17}, {1/17, 5/17, 0, 4/17, 0, 4/17, 7/17, 0, 7/17}, 
   {0, 0, 7/17, 14/17, 0, 16/17, 0, 5/17, 0}, {1/17, 9/17, 0, 0, 0, 0, 11/17, 
    0, 11/17}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 4/5, 3/5, 0, 0, 2/5, 0, 0, 1/5}, {0, 4/5, 1, 0, 0, 0, 0, 2/5, 1/5}, 
   {1/5, 1/5, 0, 0, 0, 4/5, 3/5, 3/5, 0}, {3/5, 1/5, 0, 2/5, 0, 0, 2/5, 0, 
    1/5}, {1, 1/5, 0, 0, 2/5, 0, 0, 0, 3/5}, {0, 0, 1/5, 4/5, 0, 4/5, 1, 3/5, 
    0}, {0, 0, 2/5, 0, 4/5, 0, 0, 0, 0}, {0, 0, 0, 2/5, 0, 0, 0, 2/5, 4/5}, 
   {0, 0, 0, 2/5, 4/5, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1/3, 1/3}, {0, 2/3, 1/3, 1/3, 0, 1, 0, 0}, 
   {0, 0, 1/3, 1, 0, 0, 1/3, 1}, {0, 2/3, 0, 0, 1, 1/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, {0, 0, 1/2, 1, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 0, 0, 1/2, 1, 1, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1/2}, {1, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 0, 1, 1/2}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1/2}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1}, 
   {0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 1, 1, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, 
   {1, 1, 0, 1/2, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 0, 1, 1/3, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 2/3, 1/3, 1, 0}, {2/3, 0, 2/3, 1/3, 0, 0, 1/3, 1/3, 0}, 
   {0, 2/3, 0, 0, 1, 1/3, 1, 1, 0}, {2/3, 0, 0, 1/3, 2/3, 0, 0, 0, 1}, 
   {0, 2/3, 0, 1, 0, 0, 2/3, 0, 1}, {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 1, 0}, {1, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {1, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1, 1}, {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1}, {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/3, 1}, {2/3, 0, 0, 1/3, 1/3, 1, 0, 0}, 
   {0, 0, 0, 1/3, 1, 0, 1/3, 1}, {0, 2/3, 1/3, 2/3, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 2/3, 1/3, 2/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 1, 1/2, 0}, 
   {1, 0, 1/2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1/2, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/3, 1, 2/3, 0, 1/3, 0, 0}, {0, 0, 0, 1/3, 0, 0, 2/3, 0, 1}, 
   {1, 0, 1, 0, 1/3, 0, 0, 0, 1/3}, {0, 1/3, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1/3, 1/3, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 0, 1, 1/2}, {1/2, 0, 1/2, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 1/2, 0, 0, 1, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 1}, {1/2, 0, 0, 0, 1, 1, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {1, 1, 0, 1/2, 0, 0, 1, 0, 0}, {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 1, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/5, 0, 2/5, 0, 2/5, 1/5, 0, 0, 2/5}, {0, 0, 1, 3/5, 0, 0, 0, 1/5, 0}, 
   {1/5, 0, 0, 0, 2/5, 1/5, 2/5, 0, 4/5}, {1/5, 0, 0, 0, 4/5, 4/5, 0, 0, 
    1/5}, {1, 1, 0, 1/5, 0, 0, 0, 3/5, 0}, {1/5, 0, 0, 0, 4/5, 3/5, 1/5, 0, 
    1/5}, {0, 2/5, 2/5, 3/5, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1/5, 1/5, 0, 0}, 
   {0, 2/5, 0, 0, 0, 0, 3/5, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/4, 1, 0, 1, 1/2, 0, 1/4, 0}, {1/2, 1/4, 1/2, 0, 0, 0, 0, 1/4, 1/2}, 
   {1, 0, 0, 1, 0, 1/2, 0, 0, 0}, {3/4, 1/2, 0, 0, 1, 1/4, 0, 1/4, 0}, 
   {1/4, 0, 3/4, 0, 1/4, 0, 0, 1/2, 1/2}, {0, 3/4, 1, 3/4, 0, 1/4, 1/2, 0, 
    0}, {0, 0, 0, 0, 1/4, 0, 3/4, 0, 1/4}, {0, 3/4, 0, 3/4, 0, 1/4, 0, 1/4, 
    0}, {1/4, 1/4, 0, 0, 0, 1/4, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/8, 0, 1/8, 0, 1, 3/8, 0, 0}, {1/8, 1/8, 1/8, 0, 0, 7/8, 1/4, 0, 0}, 
   {0, 1/4, 1/8, 0, 3/8, 0, 0, 0, 1}, {5/8, 1/8, 0, 5/8, 0, 0, 0, 0, 1/4}, 
   {0, 0, 0, 7/8, 1/2, 0, 1/8, 1/8, 0}, {5/8, 0, 0, 0, 0, 0, 3/4, 0, 7/8}, 
   {0, 1/2, 5/8, 0, 0, 7/8, 0, 3/8, 1/2}, {0, 0, 1/4, 0, 1/2, 7/8, 0, 7/8, 
    0}, {0, 0, 0, 0, 3/4, 0, 7/8, 7/8, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 1/2, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 1, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 4/5, 2/5, 0, 0, 2/5, 0, 0, 2/5}, {0, 2/5, 0, 2/5, 0, 2/5, 0, 0, 0}, 
   {2/5, 0, 0, 2/5, 0, 0, 4/5, 2/5, 0}, {3/5, 0, 0, 2/5, 4/5, 0, 0, 1/5, 
    1/5}, {1, 0, 2/5, 0, 2/5, 0, 0, 1/5, 3/5}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 2/5, 1/5, 0, 2/5}, {1, 0, 0, 0, 0, 4/5, 1/5, 0, 0}, 
   {0, 1/5, 3/5, 0, 2/5, 0, 0, 1, 3/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1, 0, 1}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 1, 0, 1}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 1, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 1, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/3, 1, 0, 0, 1, 0}, {1, 1/3, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1/3, 0, 1, 0, 0, 0, 0, 1}, {0, 2/3, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 2/3, 0}, {0, 1/3, 0, 1/3, 1/3, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1/3, 2/3, 0, 2/3}, {1, 2/3, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 2/3, 1, 2/3, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 1, 0, 2/3, 0, 1, 0, 1}, 
   {0, 2/3, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 2/3, 0}, {0, 1/3, 0, 2/3, 0, 2/3, 1/3, 0}, 
   {1/3, 0, 2/3, 0, 0, 1/3, 0, 1/3}, {0, 1, 0, 2/3, 0, 0, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1, 1/2, 1/2, 0}, {1/2, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 1, 0, 1/2}, 
   {1, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 1, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1/2, 0, 1, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1/2, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 2/3, 2/3, 0, 0, 1/3}, {1, 0, 1, 2/3, 0, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 0, 0, 0, 0, 2/3, 0, 1}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 1, 0, 0, 2/3, 2/3, 0, 1/3}, {1, 0, 1, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 1, 0, 2/3, 0, 0, 1/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 1}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 3/5, 3/5, 0, 0, 1, 0, 0, 0}, 
   {3/5, 0, 0, 3/5, 3/5, 0, 0, 2/5, 0}, {0, 2/5, 2/5, 0, 4/5, 0, 2/5, 0, 
    4/5}, {4/5, 0, 0, 0, 0, 4/5, 0, 2/5, 2/5}, {2/5, 4/5, 0, 2/5, 2/5, 0, 0, 
    0, 0}, {0, 1/5, 1, 1, 1/5, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 3/5, 2/5, 0, 
    2/5}, {1/5, 0, 0, 0, 0, 1, 2/5, 4/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1, 1/2, 1/2, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1/3, 1/3, 0, 2/3, 2/3, 0, 2/3}, 
   {1, 1, 0, 0, 1, 1/3, 0, 2/3, 2/3}, {1/3, 1/3, 0, 1, 0, 2/3, 0, 0, 0}, 
   {0, 0, 1, 0, 1/3, 1, 0, 2/3, 0}, {1/3, 1, 0, 1/3, 0, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 2/3, 0, 0, 0, 1/3, 2/3, 0}, 
   {1/3, 0, 0, 1/3, 0, 0, 2/3, 0, 1}, {0, 2/3, 2/3, 1/3, 1/3, 0, 0, 1/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 1/3, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 1/3}, 
   {0, 1/3, 0, 1/3, 2/3, 0, 1/3, 0, 0}, {0, 1, 1/3, 0, 0, 2/3, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 1/3, 1/3, 0, 2/3, 0}, {1, 0, 1/3, 0, 0, 0, 1/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 1}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1/3, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 2/3, 2/3, 0, 1/3, 0, 2/3}, {0, 0, 0, 1/3, 0, 0, 1, 1/3}, 
   {0, 2/3, 0, 0, 1/3, 1/3, 0, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 1/3, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 1/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 2/3, 2/3, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 1, 0}, {2/3, 0, 1, 0, 1, 1/3, 1/3, 0, 1/3}, 
   {2/3, 1/3, 0, 0, 0, 0, 0, 0, 2/3}, {1/3, 0, 0, 1/3, 0, 0, 1/3, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 1/3, 0}, {0, 2/3, 0, 0, 0, 2/3, 1, 0, 1}, 
   {1/3, 0, 1, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 2/3, 1, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 1/2, 1, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 2/3, 0, 1, 0, 0, 1/3, 1, 0}, {0, 0, 2/3, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 1/3, 0, 0, 2/3, 0, 2/3}, {1/3, 0, 2/3, 2/3, 2/3, 0, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 2/3, 1/3, 1/3, 0}, {0, 0, 1, 0, 0, 1/3, 1/3, 1, 0}, 
   {2/3, 2/3, 0, 0, 1/3, 0, 0, 0, 2/3}, {0, 1/3, 0, 0, 1, 1/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1, 0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 1, 0, 0, 1}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1}, {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 1, 0}, {1, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 1, 1/2, 1/2, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, {1, 0, 1, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 1, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1, 1, 0, 1/2, 0, 1/2}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1, 1/3, 0, 1, 0, 0, 0}, {1, 1/3, 0, 0, 1/3, 0, 0, 2/3, 0}, 
   {0, 0, 1/3, 0, 1, 0, 2/3, 0, 2/3}, {0, 2/3, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1/3, 0, 1/3, 0, 1, 0, 0, 2/3}, {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 3/4, 0}, {1, 0, 1, 3/4, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/4, 0, 0, 1/4, 3/4, 1/4, 0, 1/4}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 3/4, 0, 1/2, 0, 0, 0}, 
   {1/4, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 1/4, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, {1, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 2/3, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 2/3, 2/3, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1/3, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 2/3}, 
   {0, 1, 1, 0, 0, 2/3, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1/3}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1/3}, {0, 0, 1/3, 2/3, 2/3, 0, 1, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 2/3, 0, 1/3, 1/3, 0, 0, 1}, {0, 0, 0, 1/3, 0, 2/3, 1/3, 1/3, 
    2/3}, {2/3, 0, 0, 1, 0, 0, 1, 1, 0}, {2/3, 0, 0, 1/3, 2/3, 0, 0, 0, 1}, 
   {0, 0, 0, 1/3, 0, 0, 0, 2/3, 1}, {0, 2/3, 0, 0, 1/3, 1, 1/3, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 0, 0, 1, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 1/2, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {1, 0, 0, 1, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 1, 0, 1/3, 1}, 
   {2/3, 0, 0, 1, 0, 1/3, 0, 0}, {0, 2/3, 0, 0, 1/3, 1/3, 0, 0}, 
   {0, 0, 1/3, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 2/3, 0}, 
   {2/3, 0, 1, 0, 0, 2/3, 0, 0}, {0, 2/3, 1/3, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 1/3, 0, 2/3, 0, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1, 1/2, 1, 1/2, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1/3}, {1/3, 0, 1, 0, 2/3, 1/3, 0, 0, 0}, 
   {0, 0, 0, 1/3, 0, 0, 1, 1, 0}, {0, 0, 2/3, 0, 2/3, 1/3, 1/3, 1/3, 0}, 
   {0, 1/3, 0, 0, 0, 1/3, 1, 0, 2/3}, {0, 2/3, 0, 1/3, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 2/3, 0, 1/3, 0, 0, 1/3}, {1/3, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {2/3, 1, 0, 0, 1/3, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1/2, 0, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 1, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1/2, 1, 0, 1/2, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1, 0, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1, 1/4, 0, 3/4}, {3/4, 3/4, 1/4, 1/4, 0, 1/4, 0, 0, 
    0}, {3/4, 3/4, 0, 0, 0, 0, 1/4, 1/2, 0}, {0, 0, 3/4, 1/4, 1/4, 0, 0, 1/4, 
    0}, {1/2, 0, 0, 0, 0, 1/2, 1/4, 0, 1}, {0, 0, 3/4, 1/2, 1/4, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/4, 1/2, 3/4, 0}, {0, 0, 0, 1/2, 3/4, 0, 0, 0, 1/4}, 
   {1/2, 0, 1/2, 0, 0, 1/4, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/4}, {0, 0, 1/4, 0, 0, 1/4, 0, 1/4, 0}, 
   {1/2, 3/4, 1/2, 0, 1/4, 1/4, 1/4, 0, 0}, {3/4, 0, 1, 3/4, 0, 0, 0, 1/2, 
    0}, {0, 3/4, 1/2, 0, 1/4, 0, 1/2, 0, 3/4}, {3/4, 0, 0, 0, 3/4, 1/2, 1/2, 
    0, 1/4}, {1/4, 1, 0, 1/4, 0, 0, 0, 1/2, 0}, {0, 3/4, 0, 1/2, 1/4, 0, 1/4, 
    1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 0, 0, 0, 4/5, 0, 0, 2/5, 0}, {0, 0, 0, 0, 0, 0, 4/5, 2/5, 0}, 
   {0, 0, 2/5, 0, 2/5, 2/5, 0, 0, 0}, {2/5, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 2/5, 0}, {0, 0, 1/5, 1/5, 0, 0, 3/5, 1/5, 1}, 
   {3/5, 1, 0, 0, 1/5, 1, 0, 0, 4/5}, {0, 0, 1, 1, 0, 0, 2/5, 2/5, 0}, 
   {0, 2/5, 1, 3/5, 0, 0, 0, 2/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 1}, {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 0, 0, 1/3, 0, 0, 0, 1}, {0, 0, 0, 1, 1/3, 0, 0, 1/3, 0}, 
   {0, 2/3, 1, 0, 1/3, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 1/3, 0}, 
   {0, 0, 0, 1, 2/3, 0, 0, 0, 1}, {1/3, 0, 1/3, 2/3, 0, 2/3, 1/3, 0, 1/3}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1/2, 0, 1, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/5, 2/5, 0, 3/5, 2/5, 0, 0, 0}, {2/5, 0, 3/5, 1/5, 0, 3/5, 0, 0, 
    1/5}, {0, 3/5, 0, 2/5, 3/5, 0, 0, 4/5, 0}, {3/5, 0, 2/5, 0, 0, 2/5, 0, 0, 
    0}, {0, 0, 0, 1/5, 0, 2/5, 0, 3/5, 2/5}, {2/5, 2/5, 0, 1/5, 2/5, 0, 0, 0, 
    4/5}, {3/5, 0, 1, 4/5, 1, 0, 0, 0, 0}, {2/5, 3/5, 0, 1/5, 1/5, 4/5, 1/5, 
    1/5, 0}, {0, 1, 0, 2/5, 0, 1/5, 4/5, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 1, 1, 0, 1/2, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 1, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/4, 0, 1/4, 0, 3/4, 1/2, 3/4, 0, 1/2}, 
   {0, 3/4, 1/2, 3/4, 0, 1/4, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 3/4, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 3/4}, {1/2, 0, 0, 0, 1/4, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 3/4, 1/2, 0, 0, 0}, {0, 0, 0, 3/4, 0, 1/4, 0, 0, 1/4}, 
   {1/4, 0, 1/4, 1/2, 0, 0, 1/4, 0, 0}, {0, 1/4, 0, 0, 0, 0, 0, 3/4, 1/4}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 1, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 1/3, 0}, {1/3, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/3, 0, 1, 2/3, 0, 1}, {0, 0, 0, 0, 0, 1/3, 1, 1, 0}, 
   {0, 1, 0, 2/3, 1, 0, 0, 0, 1/3}, {1/3, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 2/3, 1/3, 0, 0}, {1, 0, 0, 0, 1/3, 0, 0, 0, 2/3}, 
   {2/3, 2/3, 0, 0, 0, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1/3, 1, 0, 1/3, 1, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, {0, 0, 1/3, 1/3, 0, 2/3, 0, 1}, 
   {0, 0, 0, 0, 1, 1/3, 1/3, 0}, {2/3, 0, 1/3, 1/3, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1, 1, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {1/2, 0, 1/2, 0, 1, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 2/3, 1, 0}, 
   {1, 0, 2/3, 0, 0, 1/3, 0, 1/3}, {0, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {1/3, 0, 2/3, 0, 2/3, 0, 1/3, 0}, {0, 1/3, 0, 0, 0, 1/3, 0, 1}, 
   {1, 0, 0, 0, 2/3, 0, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1, 1/2, 0, 1, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1, 1, 0, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1, 1/2}, {0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1/2, 1, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 0, 0, 0, 1/3, 0, 1/3}, 
   {1/3, 1, 0, 0, 0, 0, 1, 2/3, 0}, {0, 0, 2/3, 0, 0, 1/3, 0, 2/3, 1}, 
   {0, 1/3, 1/3, 0, 0, 0, 2/3, 0, 2/3}, {1/3, 0, 1, 2/3, 0, 1/3, 1/3, 1/3, 
    0}, {2/3, 2/3, 0, 1/3, 0, 0, 0, 1/3, 1}, {1, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 1/3, 1/3, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 3/5, 4/5, 2/5, 0, 0, 3/5, 0}, {0, 4/5, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1/5, 0, 0, 0, 0, 3/5, 0, 1}, {0, 2/5, 0, 0, 0, 2/5, 2/5, 0, 0}, 
   {2/5, 4/5, 0, 0, 0, 0, 2/5, 0, 2/5}, {0, 0, 2/5, 0, 2/5, 4/5, 0, 0, 0}, 
   {1, 1/5, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 4/5, 2/5, 0, 1/5, 0, 3/5}, 
   {0, 4/5, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 0, 1, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 1/2, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 1/2, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1/2, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1/2, 0, 1, 0, 1}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 2/3, 0, 1/3, 1, 0, 0, 0, 1}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 1, 0, 0, 1}, {0, 0, 0, 1/3, 1, 0, 1/3, 1, 0}, 
   {0, 0, 2/3, 0, 0, 1/3, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/3, 1/3, 0, 0, 0, 1, 0}, {0, 0, 0, 2/3, 0, 1, 1, 0, 1}, 
   {2/3, 0, 0, 0, 1/3, 0, 1/3, 1, 0}, {0, 1/3, 0, 0, 2/3, 0, 0, 1/3, 1/3}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/3, 1, 0, 1/3, 0, 1/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0, 1/3}, {0, 0, 2/3, 1/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 1/2, 1}, 
   {1, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 0, 1, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1, 1, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1, 0, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1/2}, {0, 1, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 8/11, 0, 0, 0, 4/11, 0, 1/11, 0}, {9/11, 8/11, 0, 0, 0, 0, 0, 1/11, 
    4/11}, {0, 1/11, 1/11, 10/11, 4/11, 0, 5/11, 0, 3/11}, 
   {0, 2/11, 4/11, 0, 6/11, 10/11, 2/11, 0, 0}, {0, 0, 0, 4/11, 4/11, 0, 0, 
    10/11, 0}, {0, 0, 4/11, 0, 4/11, 8/11, 2/11, 2/11, 0}, 
   {1/11, 0, 6/11, 0, 0, 4/11, 1/11, 0, 3/11}, {0, 3/11, 7/11, 0, 0, 8/11, 0, 
    1/11, 0}, {1/11, 0, 0, 6/11, 0, 0, 1, 0, 7/11}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/4, 1, 1/4, 1, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/4, 0, 1/4, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 3/4, 0, 1, 0, 1/2, 0}, {3/4, 0, 3/4, 0, 1, 1/4, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 0, 1/3, 2/3, 0, 1}, {0, 0, 1/3, 0, 1, 0, 1, 2/3, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1/3, 0, 0, 0, 0, 0, 2/3, 1/3}, 
   {0, 0, 0, 2/3, 0, 1/3, 0, 2/3, 0}, {0, 1/3, 2/3, 0, 1/3, 0, 0, 0, 1/3}, 
   {0, 1, 1/3, 0, 0, 0, 0, 1/3, 2/3}, {1/3, 0, 0, 1/3, 0, 2/3, 1, 1/3, 0}, 
   {1/3, 2/3, 0, 0, 1/3, 0, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {1, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 1/2, 0, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {1, 1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1, 0, 1/2, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 1, 0, 1/3, 0, 1}, 
   {0, 0, 1/3, 0, 1, 0, 1, 0}, {0, 0, 2/3, 1, 0, 0, 1, 0}, 
   {0, 2/3, 2/3, 1/3, 0, 0, 1/3, 0}, {0, 0, 1/3, 0, 1, 1/3, 0, 1}, 
   {0, 0, 0, 2/3, 2/3, 0, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1, 1/2, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1/3, 0, 0, 0, 0}, {0, 1/3, 1, 0, 1/3, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 1, 0, 1, 0, 0, 2/3, 0}, {0, 1/3, 2/3, 1/3, 2/3, 0, 0, 2/3}, 
   {1/3, 0, 1, 0, 1, 2/3, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 1/3, 0, 0, 0}, 
   {0, 1/3, 1/3, 0, 1, 0, 2/3, 0, 0}, {1, 2/3, 0, 2/3, 1/3, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 2/3, 0}, {0, 1, 1/3, 1/3, 0, 1/3, 0, 0, 2/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 1/2, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1}, 
   {4/5, 0, 0, 4/5, 1/5, 1/5, 1/5, 0}, {0, 0, 0, 0, 3/5, 0, 0, 3/5}, 
   {0, 3/5, 0, 0, 0, 0, 3/5, 0}, {0, 4/5, 0, 1, 1, 0, 0, 1/5}, 
   {0, 1/5, 1/5, 3/5, 0, 1, 2/5, 0}, {1, 0, 4/5, 0, 0, 0, 0, 1/5}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 1, 0, 1/2}, 
   {0, 1/2, 0, 1, 1, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 1, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 0, 0, 1, 1/5, 0, 3/5, 1/5}, 
   {0, 0, 2/5, 1, 0, 0, 3/5, 0, 0}, {2/5, 0, 0, 1, 2/5, 0, 0, 3/5, 1/5}, 
   {2/5, 0, 4/5, 0, 3/5, 3/5, 3/5, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 3/5}, 
   {2/5, 0, 2/5, 0, 2/5, 2/5, 0, 0, 2/5}, {0, 2/5, 0, 0, 0, 0, 4/5, 0, 2/5}, 
   {2/5, 2/5, 0, 0, 0, 4/5, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1, 0, 1}, {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 1/2, 1, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 1/3, 2/3, 2/3, 0, 1/3, 0, 0}, {1, 1/3, 0, 0, 0, 2/3, 0, 1, 1/3}, 
   {1/3, 1/3, 0, 0, 0, 2/3, 1, 0, 2/3}, {0, 0, 1, 0, 0, 2/3, 0, 1/3, 1/3}, 
   {2/3, 0, 1/3, 2/3, 0, 0, 0, 1, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{4/7, 4/7, 0, 1/7, 0, 3/7, 0, 0, 1}, 
   {0, 0, 2/7, 4/7, 5/7, 0, 1, 0, 0}, {1, 0, 1/7, 0, 3/7, 0, 0, 1/7, 4/7}, 
   {0, 1, 2/7, 0, 2/7, 0, 0, 1, 5/7}, {6/7, 6/7, 0, 1/7, 3/7, 1/7, 1/7, 0, 
    0}, {0, 0, 0, 1/7, 0, 5/7, 4/7, 2/7, 0}, {0, 0, 4/7, 3/7, 1/7, 0, 0, 0, 
    2/7}, {2/7, 2/7, 0, 1/7, 0, 4/7, 3/7, 5/7, 0}, 
   {0, 0, 2/7, 0, 0, 0, 2/7, 3/7, 2/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 2/5, 0, 2/5, 4/5, 0, 0, 4/5}, {4/5, 4/5, 4/5, 0, 0, 0, 0, 0, 0}, 
   {4/5, 0, 0, 0, 2/5, 0, 2/5, 4/5, 0}, {1, 0, 0, 0, 0, 3/5, 0, 0, 2/5}, 
   {1/5, 0, 2/5, 2/5, 0, 3/5, 2/5, 0, 0}, {0, 1/5, 1, 1/5, 1/5, 0, 4/5, 0, 
    0}, {1/5, 0, 0, 3/5, 1/5, 0, 0, 0, 4/5}, {0, 3/5, 3/5, 0, 0, 1/5, 0, 4/5, 
    0}, {1/5, 4/5, 0, 3/5, 1/5, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 1, 1/2, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 1/3, 1, 0, 0, 0, 2/3}, {1/3, 1, 0, 0, 0, 1, 2/3, 0, 0}, 
   {0, 0, 1, 1/3, 1, 0, 0, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, 
   {2/3, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {1, 1, 0, 1/3, 1/3, 0, 0, 2/3, 0}, {0, 0, 1/3, 0, 0, 1, 0, 2/3, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 1, 1, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 1, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1, 1/2}, {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1/2, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 1, 0, 0, 0, 0}, {0, 1/3, 1/3, 0, 0, 1, 0, 1/3, 0}, 
   {2/3, 2/3, 0, 1/3, 1/3, 0, 1/3, 1/3, 0}, {0, 0, 2/3, 0, 1/3, 1, 0, 0, 
    1/3}, {0, 1/3, 0, 1, 0, 1/3, 2/3, 1/3, 0}, {0, 0, 2/3, 1, 2/3, 0, 0, 0, 
    1/3}, {1, 2/3, 0, 0, 0, 1/3, 2/3, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1, 1, 0, 1/3, 0, 0, 0, 0}, {0, 0, 2/3, 1/3, 0, 0, 0, 1, 2/3}, 
   {1/3, 1/3, 0, 0, 2/3, 2/3, 1, 0, 2/3}, {2/3, 1, 0, 0, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 0, 0, 1/3, 1/3, 2/3, 2/3, 0}, {0, 0, 1/3, 1/3, 0, 0, 1, 0, 1/3}, 
   {0, 0, 0, 0, 0, 1/3, 0, 1/3, 1/3}, {1/3, 0, 1/3, 0, 0, 0, 0, 1/3, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 1/2}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 0}, {1, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, {0, 1, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1, 1/2, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1/2}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 1, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 2/3}, {2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 2/3, 1/3, 1, 0}, {1/3, 0, 2/3, 0, 2/3, 1/3, 1/3, 0}, 
   {0, 1, 0, 0, 0, 0, 2/3, 1/3}, {1/3, 0, 0, 2/3, 0, 2/3, 0, 1/3}, 
   {0, 1, 0, 0, 0, 1, 1/3, 0}, {1, 0, 2/3, 2/3, 0, 0, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 1, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, {1/2, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 1/2, 0, 0, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 1, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {2/3, 0, 1, 1/3, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1/3, 1, 0}, 
   {2/3, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 2/3, 0, 1, 2/3, 0, 1/3}, 
   {0, 0, 1, 1/3, 0, 1/3, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1/3, 0}, 
   {0, 0, 0, 1, 2/3, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/3, 0, 0, 2/3, 1/3, 0, 1/3}, {0, 0, 0, 0, 2/3, 1, 0, 0, 0}, 
   {0, 0, 1/3, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1/3, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/3, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1/3, 1}, 
   {0, 0, 0, 1/3, 1/3, 0, 1, 0, 2/3}, {1, 0, 2/3, 0, 0, 1/3, 1, 0, 0}, 
   {0, 0, 0, 1/3, 1, 0, 0, 1, 1/3}, {0, 1/3, 2/3, 0, 2/3, 0, 0, 1, 0}, 
   {0, 2/3, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {1/3, 0, 0, 2/3, 0, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 3/4, 0, 1/4, 0, 0, 0, 1}, {0, 1/4, 1/4, 0, 0, 1/4, 0, 1/4, 3/4}, 
   {1/4, 0, 0, 1, 0, 3/4, 0, 0, 0}, {0, 1/2, 1/2, 0, 3/4, 0, 0, 1, 0}, 
   {3/4, 0, 0, 0, 0, 1/2, 0, 0, 0}, {3/4, 1/4, 0, 0, 0, 1/4, 1/4, 0, 0}, 
   {1, 0, 0, 3/4, 1, 0, 0, 0, 0}, {1/4, 0, 0, 0, 1, 0, 3/4, 1/2, 0}, 
   {0, 1, 1, 1/4, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1}, 
   {1, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {1, 0, 1, 0, 1/2, 1, 0, 1/2, 0}, {0, 1, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 1/2, 0}, {1, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, {0, 0, 1, 1/2, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 1, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{3/7, 0, 5/7, 0, 2/7, 6/7, 0, 0, 3/7}, {0, 3/7, 0, 0, 0, 0, 5/7, 3/7, 0}, 
   {2/7, 4/7, 0, 2/7, 0, 0, 0, 2/7, 0}, {2/7, 4/7, 0, 0, 0, 0, 2/7, 2/7, 0}, 
   {0, 0, 0, 6/7, 4/7, 0, 0, 0, 4/7}, {0, 1/7, 0, 0, 2/7, 2/7, 0, 2/7, 1}, 
   {0, 1/7, 2/7, 0, 0, 4/7, 0, 0, 5/7}, {5/7, 0, 1, 0, 0, 0, 1/7, 1/7, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1/2, 1, 0, 0, 0}, 
   {1, 1/2, 0, 1, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1}, {1/2, 0, 1, 1, 0, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1}, 
   {1, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{4/5, 0, 0, 1/5, 3/5, 0, 1/5, 0, 3/5}, {0, 0, 0, 0, 0, 3/5, 2/5, 3/5, 0}, 
   {0, 4/5, 4/5, 0, 0, 0, 0, 0, 2/5}, {0, 2/5, 2/5, 2/5, 0, 2/5, 0, 0, 0}, 
   {2/5, 2/5, 0, 0, 0, 0, 2/5, 4/5, 0}, {0, 0, 2/5, 3/5, 1, 0, 0, 1/5, 0}, 
   {2/5, 0, 0, 0, 0, 1/5, 1/5, 0, 1}, {2/5, 0, 2/5, 0, 0, 1/5, 1/5, 0, 3/5}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1, 1/2, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 1, 0}, {0, 1/2, 1/2, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 1/3, 2/3, 1/3, 1/3, 0}, {0, 2/3, 0, 1, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 0, 0, 2/3, 0, 1, 0}, {1/3, 2/3, 0, 0, 1, 1/3, 1/3, 0, 2/3}, 
   {1/3, 0, 1, 1/3, 0, 0, 1/3, 1/3, 0}, {0, 0, 0, 2/3, 1/3, 0, 0, 2/3, 1}, 
   {1/3, 0, 2/3, 0, 1/3, 0, 0, 0, 2/3}, {2/3, 1/3, 0, 1/3, 1/3, 0, 1/3, 2/3, 
    0}, {1/3, 1/3, 0, 0, 0, 2/3, 2/3, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1, 1/3, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 2/3, 0, 0, 1/3, 0, 0, 1}, {1/3, 0, 1/3, 1/3, 0, 0, 2/3, 0, 2/3}, 
   {1, 0, 0, 1, 2/3, 0, 0, 0, 0}, {0, 1/3, 1/3, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/3, 0, 1/3, 0, 0, 2/3, 1/3}, {2/3, 1/3, 0, 1/3, 2/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 2/3, 0}, 
   {1/3, 1, 0, 0, 1/3, 1, 0, 0, 2/3}, {0, 0, 1, 1/3, 0, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 1, 1/3, 0, 0, 2/3, 0, 0}, {0, 0, 1, 0, 1/3, 1/3, 0, 0, 2/3}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1/3, 1/3, 0, 1, 0, 0, 0, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 2/3, 1/3, 1/3, 0, 0, 1/3, 0}, {0, 2/3, 2/3, 0, 0, 1/3, 1, 0, 
    1/3}, {0, 0, 0, 1, 1/3, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 2/3}, 
   {2/3, 0, 2/3, 1/3, 1/3, 0, 1/3, 0, 1/3}, {2/3, 0, 0, 1/3, 1/3, 0, 1, 0, 
    1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1/3, 1, 0}, {1, 1/3, 0, 2/3, 0, 0, 0, 0, 1}, 
   {0, 2/3, 1, 0, 0, 0, 2/3, 0, 1/3}, {2/3, 0, 1, 0, 2/3, 0, 0, 0, 1/3}, 
   {1/3, 1/3, 0, 0, 0, 0, 1/3, 1, 0}, {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 2/3, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/5, 0, 1, 0, 4/5, 0, 0}, 
   {3/5, 1, 0, 1, 0, 1, 0, 0, 4/5}, {0, 2/5, 1, 0, 3/5, 0, 0, 0, 0}, 
   {0, 2/5, 1/5, 3/5, 0, 1, 4/5, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1/5, 3/5, 0, 0, 1, 0, 0, 2/5, 4/5}, {0, 0, 0, 2/5, 2/5, 0, 4/5, 2/5, 0}, 
   {4/5, 0, 0, 0, 0, 0, 0, 4/5, 0}, {2/5, 0, 4/5, 0, 0, 0, 2/5, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1/3, 2/3}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1/3, 0, 2/3, 0, 1, 1/3, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 2/3, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {1/3, 1/3, 0, 0, 0, 2/3, 1, 1/3, 0}, 
   {0, 2/3, 0, 0, 1/3, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 1/2}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1/3, 0, 2/3}, 
   {2/3, 2/3, 0, 2/3, 0, 0, 1/3, 1, 0}, {1/3, 0, 1/3, 1/3, 0, 2/3, 0, 0, 
    2/3}, {0, 0, 0, 1/3, 2/3, 1, 1/3, 2/3, 0}, {0, 0, 2/3, 1/3, 0, 1/3, 1, 
    2/3, 0}, {0, 1/3, 0, 1, 2/3, 0, 0, 0, 1}, {0, 0, 2/3, 0, 1/3, 0, 0, 0, 
    0}, {0, 0, 0, 0, 0, 2/3, 0, 1/3, 1/3}, {0, 0, 0, 0, 1/3, 0, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 1/2, 1, 1/2, 0, 1/2, 0, 0}, {1, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1/2, 0, 1, 0, 1/2, 0}, {1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1/2, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1/2, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/3, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 1/6, 0, 0, 1/2, 1/2, 0}, {0, 5/6, 1/2, 1/6, 0, 0, 1/2, 1/2, 
    0}, {2/3, 0, 0, 0, 0, 0, 0, 0, 5/6}, {0, 0, 0, 2/3, 5/6, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/6, 1/6, 1/3, 1/3, 5/6}, {0, 1/2, 0, 1/3, 1/2, 0, 0, 1/2, 
    1}, {1, 1/6, 0, 0, 0, 1, 1/3, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1/2, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, {0, 1/2, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 0, 1}, {1, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 1, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1, 0, 1/2, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {1, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 1, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 1/2, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1, 1/2}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1/2, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2, 
    0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 1/2}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 1/3, 0, 1/3, 1, 2/3, 0, 0}, {1/3, 0, 1, 0, 0, 0, 0, 2/3}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1/3, 1/3, 0, 0, 2/3, 2/3, 0}, 
   {1/3, 0, 2/3, 1, 1/3, 0, 0, 0}, {1/3, 0, 0, 1, 1/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 1, 0, 0, 1, 0}, {1/2, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 1}, {1/2, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 3/5, 0, 3/5, 0, 0, 0}, 
   {3/5, 3/5, 0, 0, 3/5, 0, 0, 2/5, 4/5}, {0, 0, 0, 0, 4/5, 0, 2/5, 0, 0}, 
   {4/5, 4/5, 0, 0, 0, 2/5, 0, 0, 0}, {2/5, 4/5, 0, 0, 0, 2/5, 0, 0, 2/5}, 
   {3/5, 1/5, 0, 3/5, 0, 3/5, 2/5, 0, 0}, {1/5, 1/5, 0, 3/5, 0, 1/5, 2/5, 
    2/5, 0}, {0, 0, 1, 0, 3/5, 0, 0, 2/5, 2/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1, 0, 0, 1, 1/2, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 2/3, 1/3, 1/3, 0}, {2/3, 0, 0, 1/3, 0, 0, 1/3, 1, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, {0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, {2/3, 0, 2/3, 1/3, 0, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 1, 1/3, 1, 1, 0}, {2/3, 0, 0, 1, 0, 0, 0, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 1/2, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 1/2, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1, 1/3, 0, 0, 0}, {0, 1, 0, 1/3, 0, 1/3, 2/3, 1/3, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 2/3, 0, 2/3, 2/3, 1/3, 0}, 
   {1, 2/3, 0, 0, 0, 1/3, 0, 0, 1}, {1, 1, 0, 0, 2/3, 0, 0, 0, 1/3}, 
   {0, 1/3, 2/3, 0, 2/3, 0, 0, 0, 1/3}, {1, 0, 0, 1/3, 0, 1/3, 1/3, 2/3, 0}, 
   {0, 0, 1/3, 1/3, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 2/3, 2/3, 0, 1/3, 0, 0, 0, 0}, {1/3, 0, 2/3, 2/3, 1, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 2/3, 0, 0, 2/3}, {0, 0, 0, 1/3, 0, 0, 1/3, 1/3, 0}, 
   {2/3, 0, 1/3, 0, 0, 0, 0, 0, 1/3}, {0, 0, 0, 1/3, 0, 1/3, 1/3, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 1/3, 0, 1/3, 1/3}, {1/3, 0, 1/3, 0, 0, 1, 1/3, 2/3, 
    0}, {1/3, 1, 0, 0, 1, 0, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/3, 0, 1, 0, 0, 0, 2/3}, 
   {1/3, 0, 0, 1/3, 2/3, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 1, 0}, 
   {0, 0, 0, 2/3, 1, 0, 0, 1, 0}, {1/3, 1/3, 0, 2/3, 0, 1, 0, 0, 2/3}, 
   {0, 1/3, 0, 2/3, 0, 1, 1/3, 0, 1}, {1/3, 0, 0, 0, 1/3, 0, 1, 0, 1/3}, 
   {1/3, 1/3, 0, 0, 1/3, 1, 0, 0, 0}, {0, 0, 1/3, 1/3, 0, 1/3, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 
    0}, {1/2, 0, 1/2, 0, 1, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1, 1/2, 1, 0, 1/2}, 
   {1/2, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 2/3, 0, 0, 0, 0, 1/3, 0}, 
   {0, 0, 0, 2/3, 0, 1, 2/3, 0, 0}, {0, 2/3, 0, 1/3, 0, 0, 2/3, 0, 1/3}, 
   {0, 0, 0, 1/3, 0, 2/3, 0, 1, 0}, {0, 0, 2/3, 1/3, 1, 0, 0, 0, 0}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, {1, 0, 0, 0, 1, 0, 0, 1/3, 0}, 
   {0, 2/3, 0, 1/3, 0, 1, 1, 0, 1}, {2/3, 1/3, 0, 0, 1/3, 1/3, 0, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 1, 1, 0, 1/2, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 1, 0, 1, 1/2, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1/2, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1, 1, 1, 0, 1/2, 0, 0}, {1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1/2, 1, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 1, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1/3, 1, 0, 1/3, 0, 1/3}, 
   {0, 0, 1, 1/3, 0, 1, 2/3, 0, 0}, {1/3, 0, 2/3, 0, 0, 1, 1/3, 1/3, 0}, 
   {0, 1/3, 0, 1/3, 0, 2/3, 0, 2/3, 0}, {2/3, 2/3, 0, 0, 0, 1, 0, 0, 0}, 
   {2/3, 0, 1, 2/3, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 1, 1/3, 0, 0, 1/3}, 
   {1/3, 1, 0, 2/3, 0, 0, 0, 0, 2/3}, {0, 0, 0, 1/3, 1, 0, 0, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1}, {1/2, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 0, 1/3, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 2/3, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1/3}, {2/3, 0, 1, 0, 1/3, 1, 1/3, 0, 0}, 
   {0, 1/3, 2/3, 1/3, 1/3, 0, 2/3, 0, 2/3}, {1, 0, 0, 0, 0, 2/3, 0, 1, 1/3}, 
   {0, 0, 1, 0, 1, 1/3, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 1/3, 1, 0, 2/3}, 
   {1, 0, 1/3, 0, 2/3, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 1, 0, 1/3, 0, 1, 1/3}, {2/3, 0, 0, 1/3, 0, 1/3, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1/3, 0, 1, 1, 0, 0}, 
   {0, 2/3, 0, 1, 0, 0, 1/3, 1/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/3, 1/3, 0, 2/3}, 
   {2/3, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1/3, 0, 1/3, 0, 1/3, 2/3, 1/3}, 
   {1/3, 0, 2/3, 1/3, 1/3, 0, 0, 2/3, 0}, {2/3, 1, 0, 0, 0, 1, 1/3, 0, 1/3}, 
   {0, 1/3, 1/3, 1/3, 0, 0, 0, 1/3, 0}, {1/3, 0, 0, 1, 0, 0, 1/3, 0, 1/3}, 
   {0, 0, 2/3, 0, 0, 0, 1/3, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 0, 1/2, 1/2}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1/2, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, 
   {1, 1/3, 0, 0, 0, 1/3, 0, 0, 0}, {2/3, 0, 0, 0, 1/3, 1/3, 0, 1/3, 0}, 
   {0, 0, 1/3, 1/3, 1/3, 0, 0, 0, 1/3}, {1/3, 0, 0, 0, 2/3, 0, 0, 1/3, 1}, 
   {0, 1/3, 2/3, 1/3, 0, 0, 1/3, 0, 0}, {0, 0, 0, 2/3, 1/3, 1/3, 1/3, 0, 0}, 
   {0, 1/3, 1/3, 2/3, 0, 1/3, 0, 1/3, 0}, {0, 1/3, 0, 0, 1/3, 0, 1, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 1, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1/2, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 1/2, 1/2}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 1, 1/2}, 
   {1, 1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 1/2, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1, 0, 1/2, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {1, 1/2, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 1/2, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1/3, 0, 0, 0, 2/3}, {0, 0, 1, 0, 2/3, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 2/3, 0}, {1/3, 1, 0, 1, 1/3, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 2/3, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 2/3, 0, 1/3, 0, 2/3}, {2/3, 1, 0, 0, 0, 2/3, 0, 1/3, 
    1/3}, {1, 0, 1, 0, 2/3, 0, 1/3, 0, 0}, {0, 1, 2/3, 0, 0, 0, 1/3, 2/3, 0}, 
   {1/3, 0, 1/3, 2/3, 0, 0, 0, 1/3, 1/3}, {0, 1/3, 0, 2/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 3/5, 1/5, 0, 4/5, 0, 2/5, 0, 0}, {0, 0, 2/5, 3/5, 0, 2/5, 3/5, 0, 
    3/5}, {3/5, 0, 0, 1/5, 1, 0, 0, 2/5, 0}, {1/5, 4/5, 2/5, 0, 1/5, 3/5, 0, 
    0, 0}, {2/5, 2/5, 0, 2/5, 0, 1, 0, 3/5, 0}, {0, 0, 2/5, 0, 1, 0, 1, 0, 
    3/5}, {0, 0, 2/5, 0, 0, 0, 0, 3/5, 2/5}, {3/5, 0, 0, 2/5, 0, 3/5, 0, 0, 
    0}, {0, 2/5, 0, 2/5, 0, 0, 0, 3/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 2/3, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 2/3, 1/3, 0, 1/3, 0, 1/3}, {0, 0, 0, 1/3, 0, 1/3, 0, 1/3, 
    2/3}, {0, 0, 0, 1/3, 0, 1, 0, 1/3, 0}, {0, 0, 2/3, 2/3, 1, 0, 0, 1/3, 0}, 
   {2/3, 0, 0, 0, 1/3, 0, 0, 1, 2/3}, {2/3, 0, 0, 1/3, 0, 1, 1/3, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1, 1/4, 0, 0}, 
   {0, 0, 0, 3/4, 0, 1, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/4, 0, 1/2}, 
   {0, 0, 1/4, 0, 0, 1/2, 3/4, 0, 1}, {0, 0, 0, 1/2, 1, 0, 1/4, 0, 0}, 
   {1/4, 1/4, 0, 0, 1/4, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1/4, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 7/17, 1, 1/17, 0, 0, 16/17, 0, 4/17}, 
   {0, 7/17, 3/17, 1, 0, 14/17, 0, 0, 8/17}, {1, 6/17, 0, 0, 11/17, 1/17, 0, 
    16/17, 0}, {1/17, 10/17, 0, 3/17, 14/17, 0, 0, 0, 10/17}, 
   {7/17, 0, 6/17, 5/17, 0, 4/17, 0, 10/17, 0}, {0, 5/17, 3/17, 0, 7/17, 
    1/17, 0, 4/17, 12/17}, {16/17, 0, 0, 0, 0, 0, 16/17, 0, 6/17}, 
   {6/17, 6/17, 0, 6/17, 0, 10/17, 8/17, 0, 0}, {0, 6/17, 14/17, 0, 10/17, 
    2/17, 0, 14/17, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/6, 0, 0, 0, 1/3, 2/3, 1, 0}, {2/3, 0, 2/3, 1/2, 5/6, 0, 0, 0, 1/6}, 
   {1/3, 1/6, 1/3, 0, 2/3, 0, 0, 2/3, 0}, {0, 1/6, 0, 0, 0, 1/3, 1/6, 0, 1}, 
   {2/3, 0, 2/3, 0, 5/6, 0, 0, 1/2, 0}, {0, 0, 1/6, 0, 1/6, 1/2, 0, 0, 2/3}, 
   {0, 1/2, 0, 0, 0, 0, 2/3, 0, 1/3}, {1/6, 0, 1/6, 5/6, 0, 1, 0, 0, 0}, 
   {1/6, 5/6, 0, 1/3, 0, 0, 1/6, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {1, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 0, 4/5, 0, 0, 0, 4/5, 0}, 
   {0, 0, 4/5, 0, 2/5, 0, 0, 0, 0}, {1/5, 3/5, 0, 0, 0, 2/5, 3/5, 0, 0}, 
   {0, 0, 1/5, 0, 0, 4/5, 0, 3/5, 1/5}, {3/5, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {2/5, 0, 1/5, 2/5, 0, 0, 3/5, 0, 4/5}, {2/5, 0, 1, 4/5, 2/5, 0, 1/5, 0, 
    0}, {1, 1, 0, 0, 4/5, 0, 0, 1/5, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1/2}, {0, 0, 1, 0, 0, 1, 0, 1/2, 1}, 
   {0, 1/2, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 
    0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2}, {0, 1/2, 0, 0, 1/2, 1, 1, 0, 
    1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 2/3, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1/3, 1, 0}, 
   {1/3, 0, 0, 2/3, 0, 0, 2/3, 1/3}, {1, 0, 2/3, 0, 0, 2/3, 0, 1/3}, 
   {0, 1/3, 0, 0, 0, 1/3, 1, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, {0, 1, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {1, 0, 1, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 2/3, 0, 1, 1, 0, 0, 1/3}, {1/3, 1/3, 0, 0, 1/3, 0, 2/3, 1/3, 0}, 
   {2/3, 0, 1/3, 2/3, 0, 0, 2/3, 0, 0}, {1/3, 0, 1/3, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 2/3, 1, 0, 1/3, 2/3, 1/3, 0, 0}, {0, 1/3, 0, 1/3, 0, 0, 0, 1/3, 2/3}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 1, 1/3, 1, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 1/3, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 1/2, 0}, {0, 0, 1, 1/2, 1, 0, 1/2, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 1/2, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 1, 1, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 1, 0, 0, 1, 1/2, 0}, {1, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 1/3, 1, 2/3, 2/3, 0}, 
   {2/3, 1, 0, 0, 1, 1/3, 0, 0, 0}, {1, 0, 1, 1/3, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 0, 1, 1/3, 0, 2/3, 0}, {0, 1/3, 0, 1/3, 0, 2/3, 0, 0, 2/3}, 
   {0, 1/3, 2/3, 1/3, 2/3, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 1, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 2/3, 2/3}, {2/3, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, {2/3, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1/3, 0, 1, 1/3, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 2/3, 0, 0}, 
   {1/3, 0, 1, 0, 1/3, 0, 0, 0, 2/3}, {1/3, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1/3, 0, 1, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, {1, 0, 1, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 2/3, 1, 0, 0, 0}, {0, 0, 1, 2/3, 2/3, 0, 0, 0, 1/3}, 
   {0, 2/3, 0, 0, 1/3, 1, 0, 1/3, 0}, {2/3, 0, 2/3, 0, 0, 1, 0, 1/3, 0}, 
   {0, 1, 0, 1, 1/3, 0, 0, 0, 0}, {0, 0, 1/3, 2/3, 0, 2/3, 1/3, 1/3, 0}, 
   {1, 0, 0, 1/3, 1/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/3, 0, 2/3}, 
   {2/3, 0, 1/3, 1/3, 0, 0, 1/3, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 2/3, 2/3, 1, 0}, {0, 2/3, 2/3, 0, 1/3, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1/3, 1/3, 0, 1}, {0, 0, 0, 2/3, 2/3, 1/3, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 1/3, 0, 0, 2/3}, {0, 2/3, 0, 2/3, 0, 1/3, 2/3, 0, 0}, 
   {2/3, 0, 2/3, 1/3, 0, 0, 0, 1/3, 0}, {2/3, 0, 0, 1/3, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1/3, 1, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1/2, 1, 0, 0, 1/2, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, {0, 1/2, 1, 0, 0, 0, 1/2, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1/2, 1, 0, 1/2, 0, 0, 1}, 
   {1, 1/2, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/7, 0, 0, 0, 0, 0, 0, 4/7, 0}, 
   {4/7, 0, 4/7, 4/7, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 4/7, 2/7}, 
   {2/7, 1, 0, 0, 4/7, 0, 0, 3/7, 5/7}, {0, 1/7, 0, 3/7, 3/7, 3/7, 3/7, 0, 
    2/7}, {1/7, 0, 5/7, 0, 4/7, 0, 1, 0, 0}, {5/7, 0, 1, 0, 0, 4/7, 0, 3/7, 
    1}, {0, 3/7, 2/7, 4/7, 0, 4/7, 1/7, 0, 0}, {2/7, 1, 0, 0, 0, 0, 1, 0, 
    2/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1/2, 1/2, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {1, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 1, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 2/3, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 0, 1, 2/3, 0, 1}, {0, 0, 1/3, 1, 0, 1/3, 1, 0}, 
   {1, 1/3, 0, 0, 1/3, 0, 2/3, 1/3}, {0, 0, 2/3, 0, 1, 1/3, 1, 0}, 
   {0, 0, 1/3, 1, 0, 2/3, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 1, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1, 0}, {0, 0, 0, 1, 1, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1/2, 1, 1/2, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 1/3, 1/3, 0, 1/3, 0}, {0, 0, 1, 0, 1/3, 0, 1/3, 1/3, 0}, 
   {2/3, 1/3, 0, 1, 0, 1, 0, 0, 1}, {1/3, 1/3, 0, 1/3, 0, 1/3, 0, 1, 0}, 
   {0, 0, 1, 2/3, 0, 2/3, 0, 0, 1/3}, {2/3, 2/3, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/3, 1/3, 2/3, 0, 0, 0, 1/3}, {0, 0, 0, 0, 2/3, 0, 1/3, 0, 1/3}, 
   {1/3, 2/3, 0, 1/3, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 5/6, 0, 1/3, 1/3, 1/3, 1/6, 0}, 
   {1/3, 2/3, 1, 0, 0, 0, 0, 0, 0}, {0, 1/6, 0, 1, 0, 1/3, 1/6, 0, 1}, 
   {5/6, 1/6, 0, 0, 1/3, 0, 0, 0, 0}, {1/3, 0, 0, 1/6, 0, 0, 1/6, 1/3, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/3, 0}, {0, 0, 1/3, 1/2, 1/2, 1/6, 0, 1/6, 
    1/2}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 1/2}, {2/3, 2/3, 0, 1/6, 0, 0, 2/3, 
    2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 1}, {1, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/3, 0, 0, 2/3, 0}, {0, 1/3, 0, 2/3, 1, 0, 0, 0, 2/3}, 
   {1/3, 0, 1, 1, 0, 1, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 1/3, 0, 1/3, 0, 1/3, 0, 0, 2/3}, {1/3, 0, 1, 0, 1, 0, 2/3, 2/3, 0}, 
   {0, 1, 2/3, 1/3, 0, 1, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 0, 1/2, 1/2}, {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1, 1}, {0, 1/2, 1, 1/2, 0, 0, 0, 1/2, 1}, 
   {1, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, {1/3, 1, 0, 0, 0, 0, 1/3, 0, 1}, 
   {0, 0, 1, 2/3, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 2/3, 1/3, 0, 1}, 
   {1/3, 1, 0, 0, 0, 2/3, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0, 2/3}, {0, 2/3, 2/3, 0, 2/3, 1/3, 0, 1/3, 0}, 
   {0, 0, 2/3, 0, 0, 1/3, 0, 1, 0}, {2/3, 0, 0, 1, 1, 0, 1/3, 0, 1}, 
   {0, 2/3, 0, 1/3, 1/3, 0, 0, 1, 0}, {0, 2/3, 2/3, 1/3, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 0, 0, 0, 1, 1/3, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1, 0, 0, 0, 0, 0, 1}, {1/3, 2/3, 0, 0, 2/3, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 1, 0, 1/3, 2/3}, {1/3, 0, 2/3, 0, 0, 0, 0, 1, 0}, 
   {1/3, 0, 0, 1, 2/3, 0, 0, 0, 0}, {0, 1/3, 0, 1/3, 0, 0, 2/3, 1/3, 0}, 
   {1/3, 1, 0, 1/3, 0, 0, 0, 0, 1/3}, {0, 0, 1/3, 1/3, 0, 0, 1, 1, 0}, 
   {0, 0, 1/3, 0, 1/3, 1, 1, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1/2}, {0, 0, 0, 1/2, 1, 0, 1, 0, 1/2}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1/2, 0, 1, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 1, 1/3, 0, 0, 1, 1/3}, 
   {2/3, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1/3, 0, 1, 0, 0}, 
   {2/3, 0, 0, 0, 1, 0, 1, 1/3}, {0, 0, 0, 2/3, 1, 0, 1, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 2/3, 0, 1, 0, 1}, {1, 1/3, 0, 0, 1/3, 2/3, 0, 1/3, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 2/3, 0, 1/3, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 1, 0, 1, 0, 0, 2/3, 0}, {0, 2/3, 0, 2/3, 0, 0, 1, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 1, 1, 0}, {1, 1/3, 0, 0, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 0, 1, 0, 1/3, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 1}, {1/2, 0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 1, 1, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 1, 0, 1, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/5, 0, 3/5, 0, 2/5, 2/5, 0, 4/5}, {2/5, 0, 3/5, 0, 2/5, 2/5, 0, 0, 
    0}, {0, 0, 3/5, 0, 1/5, 0, 2/5, 0, 2/5}, {0, 1, 0, 0, 3/5, 0, 2/5, 0, 
    3/5}, {1/5, 2/5, 1/5, 1/5, 0, 0, 0, 2/5, 1/5}, 
   {1/5, 0, 0, 2/5, 0, 0, 1/5, 4/5, 0}, {0, 3/5, 0, 0, 1/5, 2/5, 1/5, 1, 0}, 
   {1, 0, 2/5, 0, 0, 1/5, 2/5, 0, 3/5}, {2/5, 3/5, 0, 0, 2/5, 0, 0, 3/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/5, 0, 0, 4/5, 0, 4/5, 1/5, 3/5, 0}, 
   {0, 1, 3/5, 0, 0, 0, 0, 0, 1/5}, {0, 1/5, 1/5, 0, 0, 0, 3/5, 1, 0}, 
   {3/5, 0, 0, 0, 0, 0, 2/5, 2/5, 1/5}, {3/5, 0, 2/5, 2/5, 2/5, 0, 0, 0, 
    1/5}, {0, 0, 0, 0, 0, 2/5, 2/5, 0, 4/5}, {2/5, 0, 0, 0, 2/5, 0, 0, 0, 
    2/5}, {4/5, 0, 0, 0, 4/5, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 1, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1/2, 1, 1}, 
   {1, 0, 1, 1/2, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1, 1/2, 0, 0, 0}, {1, 0, 0, 1, 0, 1/2, 1, 0, 1}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 1, 0}, {1, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1, 1/2, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/3, 0, 1/3, 1/3, 0, 0, 0}, 
   {0, 0, 1/3, 1, 0, 0, 1/3, 0, 0}, {0, 0, 0, 0, 1/3, 0, 1/3, 1, 0}, 
   {2/3, 0, 2/3, 0, 1, 0, 0, 0, 1/3}, {0, 0, 0, 0, 1/3, 2/3, 0, 2/3, 1/3}, 
   {0, 1/3, 2/3, 0, 2/3, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 2/3, 0, 2/3}, 
   {1/3, 1, 0, 2/3, 0, 0, 0, 0, 0}, {0, 2/3, 0, 1, 1/3, 0, 0, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1, 0}, {1/2, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/4, 0, 3/4, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 3/4, 0}, 
   {1, 0, 0, 3/4, 1, 0, 0, 1}, {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {1/4, 0, 3/4, 0, 1/4, 3/4, 0, 1}, {0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1, 1/4, 0}, {1/2, 0, 1, 1/4, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/4, 1/4, 0, 1/2}, 
   {1/4, 0, 0, 1, 0, 1/2, 1/4, 1/2, 0}, {1/4, 0, 3/4, 0, 1/4, 0, 0, 1/4, 
    1/2}, {0, 1/4, 1/4, 0, 1/2, 0, 0, 1/2, 1/4}, {0, 0, 0, 0, 1, 1/2, 1/4, 
    1/2, 0}, {0, 0, 0, 1/2, 0, 1/4, 0, 0, 1}, {1/2, 1/2, 0, 0, 1/2, 0, 1/4, 
    0, 0}, {3/4, 3/4, 0, 0, 3/4, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 3/4, 1, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 1, 0, 1/2, 0}, {1/2, 1, 0, 1, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 1, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 0, 1, 0, 0, 1/3, 0}, {1, 0, 0, 0, 0, 1/3, 1/3, 2/3, 0}, 
   {1/3, 1, 0, 0, 0, 0, 1/3, 0, 2/3}, {0, 1, 1, 0, 0, 1, 0, 2/3, 0}, 
   {2/3, 0, 0, 1/3, 2/3, 0, 0, 0, 2/3}, {2/3, 1/3, 0, 0, 2/3, 0, 0, 0, 1/3}, 
   {0, 0, 1, 1, 0, 0, 1/3, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1/3, 0, 0, 2/3, 0, 2/3, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1/2, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1/2, 0, 0, 1, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/5, 1/5, 1, 0, 0, 0, 0}, {1/5, 0, 0, 0, 1/5, 4/5, 0, 0}, 
   {0, 1/5, 2/5, 4/5, 1/5, 4/5, 0, 0}, {0, 1/5, 2/5, 0, 1, 0, 4/5, 0}, 
   {1/5, 0, 3/5, 1, 0, 4/5, 0, 2/5}, {2/5, 0, 0, 2/5, 0, 0, 4/5, 2/5}, 
   {0, 0, 2/5, 0, 0, 0, 4/5, 4/5}, {0, 0, 2/5, 0, 4/5, 0, 0, 4/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1, 0, 1, 0, 1/2, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 1/2, 1, 1/2, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 1/3, 0, 1, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1/3, 0, 0, 2/3, 0}, {0, 1/3, 0, 1/3, 0, 1/3, 2/3, 0, 2/3}, 
   {2/3, 1, 0, 1/3, 0, 1/3, 2/3, 0, 0}, {1/3, 0, 1, 2/3, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/5, 0, 2/5, 2/5, 0, 0, 4/5}, {2/5, 0, 0, 2/5, 0, 0, 0, 0, 0}, 
   {3/5, 1, 0, 2/5, 1, 0, 0, 0, 0}, {2/5, 0, 1, 3/5, 0, 1, 0, 0, 0}, 
   {0, 0, 3/5, 1/5, 0, 1, 4/5, 2/5, 0}, {0, 0, 1, 2/5, 1, 0, 0, 0, 0}, 
   {0, 2/5, 1/5, 0, 3/5, 4/5, 0, 2/5, 0}, {1/5, 1, 0, 1/5, 0, 1, 0, 0, 2/5}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 3/4, 3/4, 0, 1/2, 0, 1/4, 0}, 
   {1/2, 1/4, 0, 1/4, 1, 0, 0, 0, 1/4}, {1/4, 0, 0, 0, 1, 0, 1/4, 0, 1/2}, 
   {0, 1/2, 1/4, 0, 1, 1/4, 0, 3/4, 0}, {3/4, 1/4, 1, 0, 0, 0, 1/4, 0, 1/4}, 
   {1, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1, 1/4, 1/2, 0, 1/4, 0, 0, 0}, 
   {0, 3/4, 0, 0, 0, 1/2, 1/2, 0, 1/4}, {1/4, 0, 1/4, 0, 1, 0, 1/4, 3/4, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1/2, 1, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1/3, 0, 1/3, 1, 0}, {0, 0, 0, 0, 1, 1/3, 1, 0}, 
   {0, 2/3, 1/3, 1/3, 0, 0, 0, 1}, {0, 0, 1, 1/3, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 1, 3/4, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1/4, 0, 1/4, 1/4, 1/4, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 2/3, 0, 1, 1/3}, 
   {1/3, 1, 0, 2/3, 0, 0, 1/3, 2/3, 0}, {1, 1, 0, 2/3, 0, 0, 1/3, 0, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, {1, 1, 0, 0, 0, 2/3, 0, 1/3, 1/3}, 
   {0, 0, 1, 2/3, 2/3, 0, 1/3, 0, 0}, {0, 0, 1/3, 0, 0, 0, 1, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/7, 0, 2/7, 0, 1/7, 2/7, 2/7, 0}, {0, 0, 4/7, 0, 0, 1/7, 0, 1/7, 
    3/7}, {1/7, 0, 3/7, 1/7, 0, 0, 0, 0, 4/7}, {2/7, 0, 4/7, 0, 4/7, 0, 2/7, 
    1/7, 0}, {0, 0, 2/7, 3/7, 3/7, 0, 0, 1/7, 1/7}, 
   {0, 4/7, 0, 3/7, 0, 2/7, 0, 0, 5/7}, {3/7, 0, 2/7, 4/7, 0, 3/7, 4/7, 3/7, 
    0}, {4/7, 5/7, 0, 0, 5/7, 2/7, 0, 0, 1/7}, {2/7, 3/7, 0, 0, 3/7, 2/7, 
    2/7, 2/7, 1/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1/2, 1/2, 0, 1, 1/2, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 1/3, 1, 0, 1, 0}, {0, 0, 2/3, 1/3, 0, 0, 1, 0, 1/3}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 0, 1/3, 1/3, 1, 0, 1}, 
   {2/3, 0, 2/3, 1/3, 0, 2/3, 0, 1/3, 0}, {0, 2/3, 0, 1, 2/3, 0, 0, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 0, 0, 0, 1/3, 0, 1/3, 1}, 
   {0, 0, 1, 2/3, 0, 0, 1/3, 0, 0}, {0, 0, 1/3, 0, 2/3, 1, 2/3, 0, 1/3}, 
   {1/3, 0, 1, 0, 1/3, 2/3, 0, 1/3, 1/3}, {1, 1, 0, 1/3, 0, 0, 1, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 0, 0, 1/3, 0}, {0, 1/3, 0, 1/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 1/3, 1/3, 1/3, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/5, 0, 0, 0, 4/5}, {0, 4/5, 2/5, 0, 0, 4/5, 2/5, 0, 0}, 
   {0, 0, 0, 1, 1/5, 0, 0, 1, 1/5}, {2/5, 2/5, 0, 2/5, 0, 1/5, 1/5, 4/5, 0}, 
   {4/5, 0, 0, 0, 0, 1, 1, 0, 0}, {2/5, 2/5, 2/5, 0, 0, 3/5, 0, 3/5, 1/5}, 
   {0, 0, 2/5, 0, 2/5, 1, 0, 1, 1/5}, {0, 0, 0, 1, 3/5, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/5, 0, 0, 4/5, 0, 0, 0, 0, 0}, 
   {0, 0, 4/5, 0, 2/5, 0, 0, 0, 4/5}, {2/5, 0, 1/5, 0, 1, 4/5, 0, 4/5, 0}, 
   {0, 0, 1, 2/5, 1, 0, 0, 2/5, 0}, {3/5, 1, 0, 1/5, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1/5, 0, 1, 4/5, 0, 0}, 
   {0, 2/5, 1, 1/5, 0, 3/5, 2/5, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1/2, 1/2, 1, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1/2, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 1/2}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1, 0, 1/3, 0, 0, 0, 1}, 
   {0, 1/3, 1/3, 1/3, 0, 1/3, 1/3, 0, 2/3}, {2/3, 1, 0, 2/3, 0, 1/3, 1/3, 0, 
    0}, {0, 0, 1/3, 0, 1/3, 0, 1, 2/3, 0}, {1/3, 0, 0, 2/3, 0, 1/3, 2/3, 0, 
    0}, {2/3, 1, 0, 0, 0, 1/3, 0, 0, 1/3}, {0, 2/3, 1/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/3, 0, 1/3, 0}, {0, 0, 1, 0, 0, 0, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 1, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 3/5, 0, 0, 2/5, 1/5, 1/5, 2/5, 0}, 
   {1/5, 2/5, 3/5, 1/5, 1/5, 0, 1/5, 0, 0}, {0, 3/5, 0, 1/5, 1/5, 0, 0, 3/5, 
    1/5}, {4/5, 0, 4/5, 0, 0, 0, 0, 2/5, 0}, {2/5, 0, 0, 4/5, 4/5, 0, 0, 2/5, 
    4/5}, {0, 2/5, 0, 0, 0, 4/5, 4/5, 0, 0}, {3/5, 0, 3/5, 0, 0, 1/5, 1/5, 0, 
    2/5}, {0, 3/5, 0, 1, 3/5, 0, 1, 0, 0}, {0, 1/5, 0, 0, 0, 1, 0, 3/5, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1, 0, 1, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/3, 1, 0, 0, 1/3, 0, 1/3, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/3, 0, 1/3}, {1/3, 0, 0, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 2/3, 0, 0, 1, 0, 0, 0}, {0, 1/3, 0, 0, 2/3, 0, 0, 2/3, 1/3}, 
   {0, 1/3, 0, 1/3, 2/3, 0, 0, 2/3, 0}, {1/3, 0, 1/3, 0, 1, 0, 2/3, 0, 2/3}, 
   {1/3, 2/3, 0, 2/3, 0, 1, 0, 1/3, 0}, {0, 1/3, 1/3, 0, 0, 1/3, 1/3, 2/3, 
    1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1, 1/2, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1/2, 1, 1, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}, 
   {1, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1, 0}, {0, 0, 1, 1, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 1, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 1/2, 1, 0, 1, 1/2, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1, 0, 1, 1/2, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1, 1, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 0, 1, 2/3, 0, 0}, {1, 0, 0, 1/3, 1/3, 0, 0, 0, 0}, 
   {0, 1/3, 1, 1/3, 1/3, 0, 0, 0, 2/3}, {0, 1/3, 1, 1/3, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 2/3, 0, 0}, {0, 2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 2/3, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 1, 0, 1/3, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 1, 0, 1/3, 0}, {2/3, 0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, 
   {0, 2/3, 2/3, 0, 2/3, 0, 2/3, 0, 0}, {2/3, 0, 2/3, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 0, 1/3, 2/3}, {0, 0, 0, 2/3, 1, 0, 0, 1/3, 0}, 
   {0, 0, 2/3, 1/3, 0, 1/3, 1/3, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 0, 0, 2/3, 0, 0, 1/3, 2/3}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 1/3, 0, 0, 0, 1, 0}, 
   {2/3, 0, 0, 0, 1/3, 0, 0, 2/3, 0}, {0, 1, 0, 2/3, 0, 2/3, 0, 0, 1}, 
   {0, 0, 2/3, 0, 1, 0, 2/3, 0, 0}, {0, 2/3, 1, 0, 0, 0, 0, 1, 0}, 
   {1/3, 0, 1, 0, 2/3, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1/3, 1, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1/3, 0, 0, 2/3, 1, 0, 0, 1/3, 0}, {0, 1/3, 0, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 0, 0, 1/3, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/3, 0, 0}, 
   {0, 0, 1/3, 0, 0, 2/3, 0, 0, 1}, {0, 1/3, 0, 1/3, 0, 1/3, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 1/3, 0, 0, 0, 2/3}, 
   {0, 1/3, 1, 0, 0, 0, 2/3, 1/3, 0}, {0, 0, 1/3, 1, 2/3, 0, 0, 1/3, 0}, 
   {1/3, 2/3, 0, 0, 0, 0, 1/3, 0, 1}, {0, 2/3, 1, 2/3, 2/3, 0, 1/3, 0, 1/3}, 
   {1, 1/3, 0, 0, 0, 0, 2/3, 1, 0}, {1/3, 0, 2/3, 0, 0, 1, 0, 1/3, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 0, 1/2, 1, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 
    1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 1, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 1, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 1, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 1, 0, 0, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 1}, {1, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 1, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1/2, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 4/5, 0, 0, 0, 0, 0, 2/5}, {0, 2/5, 0, 4/5, 0, 0, 0, 0, 0}, 
   {2/5, 0, 1/5, 0, 0, 3/5, 2/5, 4/5, 0}, {0, 4/5, 1, 4/5, 0, 3/5, 0, 0, 
    2/5}, {3/5, 3/5, 0, 1/5, 1, 0, 0, 0, 2/5}, {1, 1/5, 0, 0, 0, 1, 2/5, 0, 
    4/5}, {1/5, 3/5, 0, 0, 4/5, 1, 0, 0, 0}, {0, 0, 3/5, 3/5, 3/5, 0, 2/5, 
    2/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 1, 1, 0, 1/3, 1}, {0, 0, 0, 1, 0, 0, 1, 2/3, 0}, 
   {0, 2/3, 0, 1/3, 2/3, 0, 1, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/3, 1}, {0, 0, 2/3, 0, 1, 1, 1, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 0, 1/3, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1/2, 0, 1, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1, 1, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, {2/3, 1, 0, 0, 0, 0, 0, 1/3, 1}, 
   {1/3, 0, 1, 0, 2/3, 0, 1/3, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1/3, 2/3, 0, 0, 2/3, 1/3, 0, 2/3}, {0, 1, 0, 0, 0, 0, 1, 2/3, 0}, 
   {1/3, 0, 1, 2/3, 0, 2/3, 0, 1/3, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 1, 1, 1/2, 0, 1/2}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1, 1/2, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1}, 
   {0, 1/2, 0, 1, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 1, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1/2, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 1/2}, {1, 1, 0, 1/2, 0, 1/2, 1, 0, 1/2}, 
   {0, 0, 1, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 3/5, 0, 3/5, 0, 3/5}, {3/5, 0, 0, 3/5, 0, 2/5, 1/5, 0, 0}, 
   {3/5, 0, 3/5, 0, 0, 2/5, 1/5, 0, 0}, {0, 3/5, 2/5, 0, 0, 2/5, 0, 2/5, 0}, 
   {0, 1/5, 1/5, 1/5, 0, 1/5, 0, 2/5, 1/5}, {2/5, 0, 0, 0, 3/5, 0, 2/5, 0, 
    3/5}, {0, 2/5, 2/5, 3/5, 0, 3/5, 1/5, 0, 2/5}, 
   {2/5, 2/5, 0, 0, 3/5, 0, 0, 1, 0}, {0, 0, 0, 2/5, 3/5, 0, 1/5, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, {2/3, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 1/3, 1/3, 1, 1/3, 0}, {0, 0, 2/3, 1/3, 0, 0, 2/3, 0, 1/3}, 
   {0, 0, 0, 1, 2/3, 0, 0, 0, 1}, {0, 0, 0, 0, 1/3, 1, 0, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 0, 0, 1, 1/3, 0}, {0, 0, 0, 0, 1/3, 1/3, 2/3, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {1, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/4, 0, 1, 1/2, 3/4, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/4, 1/2, 0, 3/4}, {1/4, 1/4, 1/4, 0, 0, 1/2, 1/4, 1/4, 
    0}, {1/4, 0, 1/4, 0, 0, 1, 0, 1/2, 0}, {3/4, 1, 0, 1/2, 1/4, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/4, 1/4, 1/4, 1/2, 0}, {0, 0, 3/4, 1/2, 1/2, 0, 0, 0, 
    1/4}, {0, 1/4, 0, 1/4, 0, 0, 1/4, 3/4, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 1, 0, 1, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1, 1/2, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1}, {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {1, 0, 1, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 6/7, 2/7, 0, 2/7, 0, 0, 2/7, 0}, {0, 2/7, 4/7, 2/7, 0, 2/7, 2/7, 0, 
    0}, {2/7, 0, 0, 0, 0, 4/7, 2/7, 0, 4/7}, {0, 2/7, 2/7, 0, 1, 5/7, 1/7, 0, 
    3/7}, {6/7, 0, 2/7, 3/7, 2/7, 0, 0, 3/7, 0}, 
   {0, 2/7, 0, 5/7, 0, 4/7, 2/7, 1, 0}, {4/7, 0, 0, 0, 3/7, 3/7, 2/7, 5/7, 
    0}, {0, 2/7, 0, 5/7, 0, 0, 3/7, 0, 1}, {0, 0, 2/7, 5/7, 2/7, 0, 1/7, 0, 
    5/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 1, 0, 1/2, 1, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {2/3, 0, 1, 0, 0, 1/3, 0, 0, 1/3}, 
   {2/3, 0, 0, 1, 1/3, 0, 1/3, 0, 1}, {0, 1/3, 1/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/3, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1/3, 1/3, 0}, 
   {0, 1/3, 1/3, 1, 1/3, 0, 0, 1/3, 0}, {0, 2/3, 0, 2/3, 0, 0, 1/3, 2/3, 0}, 
   {1/3, 0, 0, 0, 2/3, 2/3, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 1, 0, 0}, {1/2, 0, 1, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 1/2, 0, 0, 1/4}, {3/4, 0, 0, 0, 1/4, 0, 0, 1/4, 0}, 
   {0, 3/4, 1, 0, 0, 1/4, 0, 0, 1/4}, {0, 3/4, 1, 1/4, 0, 0, 0, 1/4, 0}, 
   {0, 1/4, 0, 1/2, 0, 1/4, 3/4, 0, 1/4}, {1/2, 1/4, 1/2, 0, 1/2, 0, 0, 0, 
    0}, {1, 1/4, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/4, 0, 1, 1/4, 1/4, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 1, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/3, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 2/3, 0, 1}, {1/3, 0, 1/3, 0, 1/3, 0, 0, 1, 2/3}, 
   {0, 0, 1, 0, 1, 0, 1/3, 1, 0}, {0, 0, 0, 0, 1, 0, 2/3, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 2/3, 1, 0}, {1/3, 1/3, 0, 2/3, 0, 2/3, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 1/2, 1}, {1, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 2/3, 0, 1/3, 1}, {0, 0, 0, 1/3, 1/3, 0, 2/3, 0, 2/3}, 
   {1, 0, 1, 0, 0, 0, 2/3, 1/3, 0}, {0, 1, 0, 0, 1, 1/3, 0, 1/3, 0}, 
   {0, 2/3, 0, 1/3, 0, 2/3, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 2/3, 1}, 
   {2/3, 0, 2/3, 0, 0, 1/3, 1/3, 0, 1/3}, {0, 0, 0, 0, 1/3, 0, 1, 1/3, 0}, 
   {0, 1/3, 1, 1, 0, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 1/2, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1, 0, 1/2}, {1/2, 1/2, 0, 1, 0, 0, 0, 1/2, 1/2}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{3/7, 1, 0, 0, 0, 0, 0, 0, 4/7}, 
   {1/7, 0, 0, 4/7, 0, 1/7, 1, 0, 0}, {0, 2/7, 0, 0, 1, 0, 4/7, 1/7, 0}, 
   {4/7, 0, 1, 0, 0, 0, 0, 3/7, 2/7}, {0, 0, 1/7, 0, 3/7, 3/7, 4/7, 0, 3/7}, 
   {1/7, 0, 3/7, 0, 1/7, 0, 0, 3/7, 4/7}, {0, 5/7, 0, 3/7, 0, 6/7, 0, 3/7, 
    0}, {0, 0, 3/7, 0, 0, 0, 0, 4/7, 5/7}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1, 1, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1/2, 0, 1/2, 1}, {1/2, 0, 1, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1/2, 0}, {0, 1, 0, 1, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, {0, 1, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1, 1/2, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 0, 0, 0, 0, 2/5, 0}, 
   {0, 0, 0, 0, 2/5, 2/5, 0, 0}, {2/5, 0, 0, 3/5, 0, 3/5, 3/5, 2/5}, 
   {0, 4/5, 4/5, 1/5, 0, 1, 1/5, 0}, {2/5, 0, 3/5, 0, 3/5, 0, 0, 1}, 
   {0, 0, 0, 3/5, 0, 0, 2/5, 1}, {0, 2/5, 0, 3/5, 4/5, 0, 0, 1/5}, 
   {4/5, 0, 3/5, 0, 1/5, 3/5, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 0, 0, 1, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1, 0, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/4, 0, 1/4, 1/4, 1, 0, 0, 1/4, 1/4}, {0, 0, 1/2, 3/4, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 3/4, 0, 0, 0, 1/2, 0}, {0, 0, 1/4, 0, 0, 3/4, 0, 1/4, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 1/4, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1, 3/4, 0, 1, 0, 0, 0}, 
   {1/4, 1/2, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 1/2, 1/2, 1/2, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1/3, 0, 2/3}, 
   {2/3, 0, 1/3, 0, 1/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/3, 2/3, 1, 0}, 
   {0, 0, 0, 0, 1/3, 1/3, 1/3, 2/3, 0}, {2/3, 0, 1/3, 1/3, 1, 0, 0, 0, 0}, 
   {0, 1/3, 0, 1/3, 0, 2/3, 0, 0, 1/3}, {0, 0, 0, 2/3, 0, 1, 0, 0, 2/3}, 
   {0, 1, 1/3, 1/3, 1/3, 0, 0, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1, 1/2, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0, 1}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1, 0, 0, 2/3, 2/3}, {0, 0, 2/3, 0, 1, 1, 0, 1/3}, 
   {1/3, 0, 2/3, 0, 1/3, 0, 1, 0}, {0, 1/3, 0, 2/3, 0, 1/3, 0, 0}, 
   {0, 0, 0, 1, 0, 2/3, 0, 1/3}, {1/3, 0, 1/3, 0, 2/3, 0, 0, 2/3}, 
   {0, 1/3, 1/3, 1/3, 0, 1/3, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1/2, 0, 0, 0, 1, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 1, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {1, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1, 1/2}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 1, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 1, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 6/11, 0, 0, 0, 8/11}, {4/11, 3/11, 0, 4/11, 4/11, 0, 4/11, 0, 
    0}, {6/11, 5/11, 0, 0, 0, 0, 6/11, 0, 2/11}, {1, 0, 6/11, 0, 0, 2/11, 0, 
    5/11, 3/11}, {0, 3/11, 1, 0, 0, 2/11, 1, 0, 0}, 
   {5/11, 0, 0, 6/11, 0, 0, 0, 1, 1}, {2/11, 0, 7/11, 6/11, 0, 4/11, 0, 3/11, 
    1/11}, {0, 0, 5/11, 0, 0, 6/11, 0, 1, 3/11}, {1, 3/11, 0, 0, 0, 0, 1, 0, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 0, 0, 1, 1/2, 0}, {1/2, 1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 1, 1/2, 1, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1, 1}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 1, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1/2, 0, 1/2, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 0, 1, 1/3, 0, 0, 0, 0, 2/3}, {0, 0, 1/3, 1/3, 1/3, 0, 2/3, 1/3, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1/3, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/3, 1, 0, 1, 0, 1/3, 0}, {2/3, 1, 0, 0, 1/3, 0, 0, 0, 2/3}, 
   {1/3, 2/3, 0, 0, 0, 1/3, 1/3, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 1, 0, 1/2, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/5, 0, 3/5, 1}, 
   {0, 2/5, 0, 0, 0, 1/5, 0, 3/5, 3/5}, {4/5, 4/5, 0, 3/5, 1/5, 0, 1/5, 0, 
    0}, {0, 1/5, 0, 1, 1, 0, 0, 0, 0}, {1/5, 0, 1/5, 0, 0, 1/5, 4/5, 2/5, 0}, 
   {0, 1/5, 0, 1/5, 3/5, 0, 4/5, 0, 0}, {0, 1/5, 0, 0, 0, 4/5, 0, 1/5, 3/5}, 
   {1/5, 0, 1, 0, 0, 0, 3/5, 0, 0}, {0, 1/5, 0, 0, 2/5, 4/5, 0, 1/5, 1/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/4, 1/4, 0, 1/2, 0, 0, 0}, 
   {0, 0, 3/4, 3/4, 0, 0, 1, 0, 0}, {0, 3/4, 0, 0, 0, 0, 1/4, 0, 3/4}, 
   {0, 1, 0, 1, 1, 0, 1/2, 0, 0}, {3/4, 0, 1/2, 0, 1/4, 0, 0, 1/4, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1/4, 1/4, 0, 3/4, 1, 0, 0, 0}, 
   {1, 0, 1/4, 1/4, 1, 0, 0, 3/4, 0}, {0, 1, 0, 1/4, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1, 0, 1/3, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 2/3, 0}, 
   {0, 0, 1, 1/3, 0, 1, 0, 0, 2/3}, {1/3, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 2/3, 0, 2/3}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1, 1/2}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/3, 0, 0, 0, 2/3, 0}, 
   {1/3, 2/3, 0, 0, 2/3, 0, 1/3, 0, 1/3}, {0, 0, 0, 0, 0, 1, 2/3, 0, 1}, 
   {1/3, 1/3, 0, 0, 2/3, 1, 2/3, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 1/3, 1}, 
   {0, 0, 1/3, 1/3, 0, 0, 1, 1/3, 0}, {2/3, 2/3, 0, 0, 1/3, 1/3, 0, 1, 2/3}, 
   {1/3, 0, 0, 1, 1/3, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 0, 0, 0, 2/3, 0}, {0, 0, 1, 0, 1/3, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 1/3, 1, 2/3, 0, 0}, {2/3, 1, 0, 0, 1/3, 0, 2/3, 0, 0}, 
   {0, 0, 1, 1/3, 0, 1, 0, 2/3, 0}, {0, 0, 1, 2/3, 1, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 2/3, 0, 1/3, 2/3, 0, 2/3}, {2/3, 1, 0, 0, 0, 1/3, 0, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 1/2}, {1, 1/2, 0, 0, 1, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1/3, 0, 0, 0, 2/3, 1/3, 1/3, 0}, 
   {0, 1, 0, 2/3, 0, 0, 0, 0, 1}, {0, 1/3, 0, 2/3, 0, 2/3, 0, 0, 1}, 
   {1/3, 0, 1/3, 0, 2/3, 0, 1/3, 1, 0}, {2/3, 0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, 
   {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 0, 2/3, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/3, 0, 0, 1/3, 0, 1/3}, 
   {0, 0, 2/3, 0, 1/3, 1/3, 0, 1/3, 0}, {0, 2/3, 0, 0, 0, 1, 0, 0, 1/3}, 
   {0, 0, 0, 1, 1/3, 0, 1/3, 1, 0}, {0, 2/3, 0, 0, 0, 1/3, 0, 2/3, 1/3}, 
   {0, 0, 0, 2/3, 1, 0, 1/3, 0, 2/3}, {2/3, 0, 2/3, 1/3, 0, 1/3, 0, 1/3, 
    1/3}, {2/3, 0, 0, 0, 1/3, 2/3, 1/3, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 0, 0, 1, 1/3, 0, 1/3, 0, 1/3}, {0, 1/3, 0, 1/3, 0, 0, 1/3, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 1/3, 1/3, 2/3, 1/3}, {2/3, 0, 0, 0, 0, 2/3, 1/3, 2/3, 
    0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0, 1}, {1/3, 0, 1/3, 0, 0, 1, 0, 0, 2/3}, 
   {0, 0, 0, 1/3, 0, 1, 1/3, 0, 1}, {0, 0, 1/3, 1/3, 2/3, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1}, {1, 0, 0, 0, 1/2, 1/2, 0, 1, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 1, 0, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, {0, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 1/3, 1, 1, 1/3, 0, 2/3, 2/3, 0}, {1, 2/3, 0, 0, 0, 1, 0, 0, 0}, 
   {1/3, 0, 2/3, 2/3, 0, 1/3, 2/3, 0, 0}, {1, 0, 0, 1, 1/3, 0, 0, 0, 0}, 
   {0, 1/3, 1, 0, 0, 1, 0, 0, 0}, {1/3, 0, 0, 1, 1/3, 0, 0, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0, 1/3}, {0, 1, 1/3, 0, 0, 2/3, 0, 1, 1}, 
   {2/3, 2/3, 0, 1/3, 1/3, 0, 0, 1/3, 0}, {1, 0, 0, 1/3, 0, 0, 2/3, 0, 0}, 
   {0, 1, 1/3, 2/3, 2/3, 0, 1/3, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 2/3, 1/3, 0, 2/3, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 1, 0}, {0, 1/2, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1, 1, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 2/3, 2/3, 0, 1/3, 1/3}, {1/3, 0, 1/3, 0, 0, 2/3, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1/3, 0, 0, 0, 0, 1, 1/3}, 
   {0, 1/3, 0, 2/3, 2/3, 0, 1/3, 0, 0}, {2/3, 1, 0, 2/3, 0, 0, 1/3, 0, 0}, 
   {2/3, 0, 2/3, 2/3, 0, 0, 0, 0, 2/3}, {0, 2/3, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1/2, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1}, {0, 1/2, 1, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/5, 0, 0, 1/5, 1, 0, 0, 1/5}, 
   {0, 0, 0, 1/5, 0, 0, 1, 1/5, 0}, {4/5, 2/5, 0, 1/5, 2/5, 0, 0, 0, 1}, 
   {2/5, 0, 0, 0, 3/5, 1, 3/5, 1/5, 0}, {0, 0, 0, 1, 2/5, 0, 0, 2/5, 1}, 
   {0, 0, 4/5, 0, 2/5, 0, 0, 2/5, 4/5}, {0, 0, 0, 4/5, 2/5, 0, 0, 4/5, 0}, 
   {0, 0, 2/5, 2/5, 0, 2/5, 2/5, 0, 2/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 2/3, 2/3, 0, 0, 0, 1/3, 0}, {0, 1, 0, 2/3, 2/3, 0, 0, 1/3, 0}, 
   {1/3, 0, 1, 0, 0, 0, 1/3, 0, 1}, {2/3, 1, 0, 0, 0, 0, 1/3, 0, 1/3}, 
   {1, 0, 1/3, 0, 0, 0, 0, 1, 0}, {0, 1/3, 0, 1/3, 1/3, 1/3, 0, 1/3, 2/3}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{7/9, 0, 7/9, 1/3, 1/9, 0, 0, 4/9, 0}, 
   {2/9, 1/9, 2/9, 4/9, 0, 5/9, 0, 2/9, 0}, {4/9, 7/9, 0, 0, 0, 5/9, 0, 0, 
    2/9}, {0, 1/9, 0, 5/9, 5/9, 0, 0, 0, 2/9}, {0, 1/9, 0, 5/9, 1/3, 0, 2/9, 
    0, 2/9}, {1/3, 0, 7/9, 0, 2/9, 1/3, 2/3, 2/9, 0}, 
   {0, 2/3, 0, 0, 2/9, 0, 4/9, 4/9, 0}, {0, 0, 4/9, 0, 2/9, 8/9, 0, 0, 2/3}, 
   {0, 4/9, 0, 0, 0, 0, 4/9, 2/3, 2/9}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 1, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/3, 0, 2/3, 0, 0, 1/3, 0}, {0, 1, 0, 0, 1/3, 0, 1/3, 2/3, 0}, 
   {1, 0, 0, 2/3, 0, 1, 2/3, 0, 1/3}, {2/3, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1/3, 1, 0, 0, 0, 1/3, 1/3, 0, 2/3}, {0, 1, 0, 2/3, 0, 2/3, 0, 0, 1/3}, 
   {1/3, 0, 0, 1/3, 1, 0, 0, 0, 0}, {1/3, 0, 1/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 1, 1/3, 0, 0, 1/3, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {1/2, 0, 1, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 1}, {1, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0, 1/2}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1/2, 1, 1/2, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 1, 0, 1, 1, 0}, 
   {2/3, 0, 0, 1/3, 0, 1, 0, 0, 1}, {0, 2/3, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, {2/3, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 2/3, 0, 1/3, 0, 0, 0, 1/3}, {0, 2/3, 0, 0, 1, 0, 0, 0, 1/3}, 
   {0, 0, 0, 1/3, 0, 1, 1, 1/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 1, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1, 1}, {1, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, {1/3, 1, 0, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 1, 1, 0, 2/3, 1, 0}, {0, 0, 0, 0, 1, 1/3, 0, 1}, 
   {0, 0, 1, 1/3, 0, 1/3, 0, 1/3}, {0, 2/3, 2/3, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 0, 0, 1/3, 2/3, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1/2, 1}, {1/2, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 1}, {1/2, 0, 1/2, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 1, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, {1, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1, 1/2, 0, 1/2}, {1/2, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1, 1, 0}, {1/2, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1, 0, 1/2, 1, 1/2, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1, 1/2, 0, 1, 0, 0, 0, 1, 0}, {0, 1/2, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1/2, 0, 1/2, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1/2, 1/2, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/5, 2/5, 0, 0, 2/5, 0, 0, 4/5, 1}, {0, 1/5, 1, 0, 0, 0, 1/5, 1, 0}, 
   {1, 0, 0, 4/5, 2/5, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 4/5, 0, 1}, 
   {1, 2/5, 0, 0, 0, 0, 3/5, 1, 0}, {1/5, 0, 0, 1/5, 3/5, 1, 2/5, 0, 1/5}, 
   {0, 0, 2/5, 0, 0, 0, 0, 0, 2/5}, {0, 2/5, 0, 2/5, 0, 2/5, 0, 0, 0}, 
   {2/5, 2/5, 0, 0, 0, 0, 2/5, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 1/3, 1/3, 0, 0, 2/3, 1}, {1, 0, 0, 2/3, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 2/3, 1, 0}, {0, 1, 1/3, 0, 0, 0, 2/3, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/3, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1/3, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 1, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 1, 0, 1}, {0, 0, 1, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {1, 1/2, 0, 1, 1/2, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 2/5, 0, 0, 3/5, 2/5, 0}, {1, 1, 0, 0, 0, 4/5, 0, 1, 1}, 
   {2/5, 0, 1, 4/5, 0, 0, 1/5, 0, 0}, {3/5, 3/5, 0, 0, 0, 0, 1, 0, 0}, 
   {3/5, 1/5, 0, 4/5, 0, 0, 1/5, 2/5, 0}, {0, 0, 1, 0, 0, 2/5, 0, 1/5, 3/5}, 
   {0, 2/5, 0, 0, 4/5, 0, 0, 0, 2/5}, {0, 0, 0, 0, 4/5, 4/5, 0, 0, 0}, 
   {2/5, 4/5, 0, 0, 0, 0, 4/5, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 1/3, 2/3, 1/3, 2/3, 0}, {2/3, 0, 0, 0, 1/3, 0, 1, 0, 0}, 
   {2/3, 0, 0, 1, 0, 1, 0, 1/3, 1/3}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 2/3, 2/3, 1, 0, 1/3, 1/3, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 2/3, 1, 0, 1, 1, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 1, 0, 1}, 
   {1, 0, 0, 1/2, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, {0, 1, 1/2, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 1/3, 0, 1/3, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1/3, 1/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 0, 2/3, 1/3, 0, 1, 1, 1/3, 0}, 
   {2/3, 0, 0, 0, 1, 2/3, 0, 0, 1/3}, {2/3, 2/3, 0, 0, 1, 0, 0, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{3/5, 1, 0, 0, 2/5, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 3/5, 0, 1}, {0, 0, 3/5, 0, 2/5, 2/5, 0, 3/5, 0}, 
   {0, 0, 1/5, 0, 0, 2/5, 2/5, 1, 0}, {1/5, 1, 0, 0, 0, 0, 1, 0, 1/5}, 
   {2/5, 0, 4/5, 0, 0, 0, 2/5, 2/5, 0}, {0, 0, 4/5, 2/5, 0, 0, 0, 4/5, 0}, 
   {4/5, 0, 0, 2/5, 0, 0, 0, 0, 4/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1/2}, 
   {1, 0, 1/2, 1/2, 0, 0, 1, 1/2}, {1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 1, 1/2, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 1/2, 1/2, 0}, {1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0, 
    1/2}, {1/2, 0, 1/2, 1/2, 0, 1, 1/2, 0, 1/2}, {1/2, 1, 0, 1/2, 1, 0, 0, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1, 1}, 
   {0, 1/2, 0, 1, 0, 1/2, 1/2, 0, 1/2}, {1, 1/2, 0, 1, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}, {1, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0, 1/2}, {1, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1, 1, 1/2, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1/2, 1, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/7, 3/7, 4/7, 0, 3/7, 6/7, 0, 0, 0}, 
   {1, 3/7, 0, 0, 5/7, 0, 6/7, 2/7, 0}, {0, 0, 1, 1/7, 0, 3/7, 0, 0, 4/7}, 
   {0, 4/7, 4/7, 4/7, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 4/7, 0, 0, 6/7, 4/7}, 
   {0, 4/7, 0, 2/7, 0, 4/7, 0, 0, 2/7}, {0, 0, 3/7, 2/7, 3/7, 0, 4/7, 4/7, 
    0}, {1, 3/7, 0, 3/7, 0, 1/7, 0, 0, 2/7}, {4/7, 0, 3/7, 0, 3/7, 0, 6/7, 0, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 1, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1, 1, 0, 0, 1/2, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/5, 4/5, 0, 0, 1, 0, 3/5, 0, 1}, 
   {0, 0, 4/5, 3/5, 0, 1, 2/5, 1/5, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 2/5, 0, 4/5, 0, 0, 0, 0}, {0, 4/5, 0, 2/5, 0, 2/5, 2/5, 0, 2/5}, 
   {0, 0, 0, 0, 2/5, 0, 2/5, 2/5, 0}, {2/5, 0, 2/5, 0, 1/5, 0, 0, 1/5, 2/5}, 
   {0, 0, 0, 2/5, 3/5, 0, 0, 3/5, 0}, {4/5, 0, 0, 3/5, 0, 3/5, 3/5, 0, 3/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 1, 0, 0, 1/2, 1, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {1/3, 0, 1/3, 2/3, 0, 0, 2/3, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 2/3, 0, 2/3, 1/3, 1/3, 0}, {0, 1/3, 0, 0, 0, 2/3, 2/3, 0, 1}, 
   {1/3, 0, 1, 0, 0, 0, 1, 1/3, 0}, {0, 1, 0, 0, 2/3, 0, 0, 2/3, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/5, 0, 1/5, 0, 0, 2/5, 0, 3/5, 1/5}, 
   {0, 0, 1/5, 2/5, 0, 3/5, 0, 3/5, 0}, {2/5, 1, 0, 0, 1/5, 0, 3/5, 0, 0}, 
   {0, 0, 1/5, 4/5, 3/5, 2/5, 0, 0, 0}, {0, 0, 4/5, 0, 0, 0, 4/5, 0, 3/5}, 
   {0, 0, 0, 4/5, 4/5, 0, 0, 0, 3/5}, {2/5, 2/5, 0, 1/5, 0, 1, 0, 0, 0}, 
   {3/5, 0, 1, 2/5, 2/5, 0, 3/5, 0, 0}, {0, 1/5, 0, 0, 2/5, 2/5, 0, 3/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 2/3, 1/3, 0, 2/3, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 2/3, 1, 0, 1/3, 1/3, 1/3, 0, 2/3}, 
   {2/3, 1, 0, 0, 1, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 2/3, 0, 2/3, 2/3, 0}, {0, 0, 0, 0, 0, 1, 0, 1/3, 1/3}, 
   {1/3, 1/3, 0, 0, 1/3, 1, 0, 0, 0}, {0, 0, 1, 1/3, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1, 1/2, 0, 1/2, 1/2, 1, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 1, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 1, 0, 1/2, 1/2, 0, 1/2, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {0, 1/2, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1}, {1, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 1, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, {1, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1}, {0, 1, 1/2, 1/2, 1, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 1, 1/2, 1/2, 0, 0, 1, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 1, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 1/3, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 1/3, 1, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 1/3, 1/3, 0, 1, 0, 2/3, 0}, {0, 1/3, 0, 0, 1, 0, 0, 0, 2/3}, 
   {1/3, 0, 1/3, 0, 2/3, 2/3, 0, 0, 0}, {1, 1/3, 0, 1/3, 0, 1, 0, 0, 2/3}, 
   {1/3, 0, 1/3, 0, 2/3, 0, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 2/3, 1/3, 0, 0, 0, 0, 0, 0}, {1/3, 2/3, 0, 1/3, 0, 0, 0, 1/3, 0}, 
   {1/3, 0, 1/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 1/3, 2/3, 1/3, 0, 1/3, 1/3}, 
   {1/3, 0, 2/3, 0, 1/3, 1/3, 0, 2/3, 0}, {0, 1/3, 0, 2/3, 2/3, 0, 0, 0, 
    2/3}, {0, 1/3, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 1/3, 0, 
    0}, {0, 0, 1/3, 1/3, 0, 0, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 1, 0, 0, 0, 0, 1/3}, {0, 0, 0, 1/3, 1, 1, 1/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 0, 1, 1/3, 0, 0, 1}, {0, 0, 1, 2/3, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 1/3, 1/3, 2/3, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {1, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 0, 1, 1/2, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 1/3, 0, 2/3, 0, 1/3}, 
   {0, 0, 2/3, 0, 0, 0, 1/3, 0}, {1/3, 0, 0, 1, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 1, 0, 2/3, 1/3, 0}, {0, 0, 1/3, 0, 1, 0, 2/3, 1}, 
   {0, 2/3, 0, 1, 0, 0, 0, 1/3}, {0, 0, 1/3, 0, 1, 1, 0, 0}, 
   {0, 1/3, 0, 1, 0, 0, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/4, 1, 0, 1/2}, {1/4, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1/4, 0, 0, 0}, {1/4, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/4, 0, 1, 1/2}, {0, 0, 1, 0, 1/2, 3/4, 0, 0, 0}, 
   {1/4, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1, 1/4, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 1/3, 1/3, 0, 0, 1/3, 1}, {0, 0, 2/3, 2/3, 0, 1/3, 1/3, 0, 0}, 
   {0, 0, 2/3, 0, 0, 1/3, 1, 0, 0}, {0, 2/3, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 2/3, 0, 2/3, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {2/3, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 2/3, 0, 0, 1/3, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 1, 1/3, 1/3, 0, 0}, 
   {0, 1/3, 1/3, 0, 0, 0, 2/3, 0}, {0, 1, 0, 1, 1/3, 2/3, 2/3, 0}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 2/3, 1, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 1/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 1/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 1, 1/2, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 1/2}, {0, 1, 1/2, 0, 1, 1, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 1/2, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 1, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/3, 0, 0, 1, 0, 2/3, 0}, {0, 1/3, 1/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 1, 0, 0, 2/3}, {1/3, 0, 1/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 2/3}, {0, 2/3, 0, 2/3, 2/3, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 2/3, 0, 0, 1/3}, {0, 0, 0, 0, 0, 0, 2/3, 0, 1}, 
   {1/3, 0, 0, 0, 1, 0, 1/3, 0, 0}, {2/3, 2/3, 0, 1, 0, 1, 1/3, 1, 0}, 
   {0, 0, 1/3, 0, 2/3, 0, 1/3, 2/3, 2/3}, {1/3, 0, 0, 0, 1, 2/3, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1/3, 0, 0, 0}, {0, 1/3, 0, 2/3, 0, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 0, 0, 0, 2/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/4, 1/4, 0, 0, 3/4, 3/4, 0, 1/4, 0}, {0, 0, 1, 1/4, 1/2, 0, 1, 0, 1/2}, 
   {1, 0, 0, 1/4, 0, 3/4, 0, 1/4, 0}, {1/2, 1, 0, 3/4, 3/4, 0, 0, 0, 1/4}, 
   {0, 0, 1/2, 0, 1/4, 0, 0, 1, 1/2}, {0, 1/2, 3/4, 0, 0, 1/2, 0, 0, 0}, 
   {3/4, 1/4, 0, 0, 0, 0, 1/2, 0, 1/4}, {0, 3/4, 1/4, 3/4, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/4, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/6, 0, 1/2, 0, 0, 1/2, 0, 1/6, 1/3}, {0, 1/2, 2/3, 1/3, 0, 1/3, 1/6, 0, 
    0}, {1/6, 0, 0, 0, 1/2, 0, 0, 2/3, 1}, {0, 0, 1/6, 1/2, 5/6, 0, 0, 0, 0}, 
   {2/3, 2/3, 0, 1/6, 0, 0, 1/2, 1/6, 0}, {0, 1/2, 1/6, 0, 5/6, 0, 0, 0, 0}, 
   {0, 1/6, 0, 5/6, 0, 5/6, 0, 1/6, 1/3}, {1/3, 0, 1/3, 1/3, 0, 5/6, 1/6, 0, 
    0}, {2/3, 1/6, 0, 0, 1/3, 0, 5/6, 1/6, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 1, 0, 1/2}, {1, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1/2, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 4/5, 0, 0, 0, 2/5, 2/5, 0, 0}, {0, 0, 0, 0, 2/5, 0, 0, 4/5, 0}, 
   {0, 0, 3/5, 0, 0, 1/5, 0, 0, 2/5}, {0, 0, 1, 0, 0, 3/5, 0, 0, 0}, 
   {3/5, 3/5, 0, 3/5, 1, 0, 0, 0, 0}, {3/5, 3/5, 0, 2/5, 0, 1, 0, 2/5, 0}, 
   {3/5, 1/5, 2/5, 2/5, 0, 1/5, 2/5, 0, 2/5}, {0, 0, 3/5, 3/5, 3/5, 0, 4/5, 
    0, 2/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1, 0, 1/3, 0, 1/3, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 2/3, 2/3, 1/3, 0, 2/3, 1/3, 0}, 
   {2/3, 0, 1, 0, 1, 1/3, 0, 1/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1/2, 1}, {1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/5, 4/5, 0, 0}, {0, 0, 2/5, 0, 4/5, 0, 0, 0, 1/5}, 
   {0, 1, 3/5, 1/5, 1, 0, 0, 0, 1/5}, {1/5, 3/5, 1/5, 0, 0, 2/5, 0, 4/5, 
    4/5}, {1, 0, 1, 0, 0, 4/5, 1/5, 0, 0}, {0, 1/5, 0, 4/5, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 4/5, 0, 0, 0, 1/5, 0}, {3/5, 4/5, 0, 0, 0, 0, 2/5, 2/5, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, {1, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1/2, 1, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1/2, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, {0, 1, 1, 0, 1, 1/2, 0, 0, 0}, 
   {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1/2}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 1, 0, 0, 2/3, 2/3}, {1, 0, 0, 1/3, 0, 2/3, 1/3, 0, 0}, 
   {1, 1/3, 0, 0, 0, 2/3, 0, 0, 1/3}, {0, 0, 1/3, 2/3, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 1/3, 2/3, 1/3, 0}, {0, 0, 1/3, 1/3, 0, 0, 1, 0, 0}, 
   {0, 0, 1/3, 0, 2/3, 0, 0, 1/3, 2/3}, {1/3, 1/3, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 1, 2/3, 0, 0, 1/3, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 4/5, 0, 0, 1/5, 0}, 
   {1/5, 1, 0, 2/5, 0, 0, 1, 0, 3/5}, {0, 0, 0, 0, 0, 2/5, 0, 4/5, 0}, 
   {2/5, 0, 0, 0, 0, 0, 0, 2/5, 2/5}, {4/5, 0, 0, 0, 0, 2/5, 0, 0, 0}, 
   {0, 0, 1, 4/5, 0, 4/5, 1/5, 0, 1/5}, {0, 2/5, 1, 2/5, 0, 0, 3/5, 0, 3/5}, 
   {1, 1, 0, 0, 2/5, 0, 0, 3/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 1/2, 0, 0}, {1/2, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 1/3, 1/3, 2/3, 0, 0, 1/3, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1/3, 0, 0, 1/3, 1/3, 1/3, 0, 2/3}, {0, 2/3, 0, 0, 0, 2/3, 0, 1, 1}, 
   {1, 0, 1, 1/3, 0, 0, 1, 0, 0}, {0, 0, 1/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 1, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 1/3, 0, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1, 0, 1, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1, 1, 0, 1, 1/2, 0, 0, 0, 1}, {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1/3, 2/3, 0, 0, 1/3, 2/3, 0, 0}, {1/3, 0, 1, 1, 0, 0, 0, 0, 2/3}, 
   {1/3, 2/3, 0, 0, 0, 1, 1/3, 2/3, 0}, {0, 1/3, 1/3, 2/3, 0, 1/3, 1/3, 0, 
    0}, {1/3, 1/3, 0, 1, 1/3, 0, 2/3, 0, 0}, {1/3, 0, 2/3, 0, 1/3, 1, 0, 0, 
    2/3}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 1/3, 0, 0, 2/3, 0, 0, 1/3, 
    0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 
    1/2}, {1, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 1, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1, 0, 0, 0}, {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1/2, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 1/2, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1/2, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 1, 0, 1/2, 0, 1, 0}, {0, 1, 1/2, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 2/3, 1, 0, 0, 0, 0}, {1/3, 0, 1/3, 0, 1, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {1/3, 0, 0, 1, 0, 2/3, 0, 0}, {0, 1, 1/3, 0, 1/3, 2/3, 0, 0}, 
   {1/3, 2/3, 0, 1/3, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 1, 0, 2/3, 0}, 
   {1/3, 0, 0, 1, 1/3, 0, 2/3, 0, 1}, {0, 0, 2/3, 0, 0, 0, 1, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 1/3, 1, 1, 0, 0, 1, 0}, 
   {1/3, 0, 0, 2/3, 0, 1/3, 0, 2/3, 1}, {1/3, 2/3, 0, 0, 0, 1, 2/3, 0, 2/3}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1/2, 1, 1, 0}, 
   {1/2, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1/2, 1, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/3, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1/3, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1/3, 0, 2/3, 1/3, 0, 1/3}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1/3, 0, 0, 1, 1/3, 0, 0}, {0, 0, 2/3, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 2/3, 0, 0, 1/3, 0}, {1, 0, 2/3, 0, 0, 1/3, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{4/5, 0, 0, 1/5, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1/5, 0, 1}, {0, 2/5, 4/5, 0, 3/5, 0, 2/5, 3/5, 0}, 
   {0, 0, 0, 4/5, 1, 0, 0, 1, 0}, {0, 0, 0, 3/5, 0, 1, 1/5, 0, 1}, 
   {0, 2/5, 0, 0, 0, 0, 4/5, 2/5, 0}, {2/5, 0, 0, 0, 4/5, 4/5, 0, 2/5, 2/5}, 
   {2/5, 0, 0, 2/5, 0, 0, 4/5, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/5, 4/5, 0, 4/5, 3/5, 1/5, 0}, {3/5, 2/5, 0, 2/5, 0, 0, 0, 0, 
    3/5}, {1/5, 0, 0, 0, 2/5, 0, 0, 0, 1}, {0, 2/5, 0, 0, 4/5, 0, 0, 0, 0}, 
   {0, 0, 4/5, 0, 0, 0, 2/5, 4/5, 0}, {0, 0, 0, 0, 4/5, 0, 2/5, 0, 0}, 
   {1, 0, 0, 0, 0, 2/5, 1, 1, 0}, {0, 1/5, 1/5, 4/5, 0, 4/5, 0, 0, 1}, 
   {1/5, 0, 2/5, 0, 4/5, 0, 3/5, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 1/2, 0, 1/2}, {0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 
    0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 0, 1, 1, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1, 1/2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1/2, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/3, 0, 1, 1/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1/3, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0}, {1/3, 0, 0, 2/3, 1, 0, 2/3, 2/3}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 1/3, 0, 0, 1/3, 1/3, 1/3, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 1, 0, 0, 1, 0, 1/2, 1/2}, {0, 0, 1, 1, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 1/2, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 1}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/3, 2/3, 0, 0, 1/3}, {0, 0, 1/3, 1, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1/3}, {0, 1, 1/3, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/3, 0, 0, 1/3, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1/3, 0, 2/3, 0, 0, 2/3, 1/3, 0}, {1, 0, 1/3, 1/3, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 1/2, 1/2, 0}, {0, 1, 0, 1, 1, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 1/2, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 2/3, 1/3, 0, 0, 1/3, 2/3, 2/3, 0}, 
   {1/3, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 2/3, 1/3, 0, 0, 2/3}, 
   {1/3, 1/3, 2/3, 2/3, 0, 1/3, 0, 0, 0}, {0, 0, 1, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, 
   {1/3, 0, 1, 0, 1/3, 1, 0, 0, 0}, {1/3, 0, 1, 0, 1/3, 1/3, 0, 2/3, 0}, 
   {0, 1, 0, 1/3, 0, 0, 2/3, 0, 2/3}, {1/3, 0, 1/3, 1/3, 0, 0, 2/3, 2/3, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1/3, 1/3, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 1, 0, 1/2}, {1, 1, 0, 1/2, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/7, 1, 0, 1, 0}, 
   {5/7, 5/7, 0, 1, 0, 0, 2/7, 0, 2/7}, {2/7, 0, 2/7, 0, 0, 0, 0, 5/7, 1}, 
   {0, 3/7, 0, 0, 1, 0, 2/7, 0, 4/7}, {0, 1/7, 0, 2/7, 0, 4/7, 0, 1, 2/7}, 
   {0, 0, 5/7, 5/7, 2/7, 0, 5/7, 0, 0}, {0, 1/7, 0, 0, 0, 1, 5/7, 0, 3/7}, 
   {1/7, 0, 1/7, 2/7, 4/7, 0, 2/7, 6/7, 0}, {0, 0, 5/7, 3/7, 3/7, 0, 3/7, 
    2/7, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1, 1}, {1, 1, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1/2, 1, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {1/2, 1/2, 0, 1, 1/2, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1/2, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1, 0, 1, 0, 1/2, 1, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 0, 1, 1/2, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 1/5, 0, 2/5, 1, 0, 0, 0, 0}, {2/5, 3/5, 4/5, 0, 1/5, 0, 0, 0, 0}, 
   {1/5, 0, 1, 3/5, 0, 1/5, 2/5, 4/5, 0}, {2/5, 1, 0, 3/5, 0, 1, 0, 0, 0}, 
   {0, 1/5, 0, 1/5, 0, 3/5, 2/5, 0, 4/5}, {1/5, 0, 3/5, 0, 1, 0, 2/5, 0, 0}, 
   {0, 0, 0, 0, 0, 2/5, 0, 2/5, 2/5}, {2/5, 0, 0, 2/5, 0, 4/5, 0, 0, 0}, 
   {0, 2/5, 0, 0, 0, 0, 0, 2/5, 2/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/4, 3/4, 3/4, 0, 0, 1/2, 0, 0, 0}, {1/4, 1/4, 0, 0, 1/4, 1/2, 3/4, 1/2, 
    0}, {0, 0, 3/4, 3/4, 0, 1/2, 1/4, 0, 1/4}, {0, 0, 0, 0, 1/4, 0, 0, 1/2, 
    1/2}, {0, 0, 1/2, 0, 3/4, 1/4, 0, 1/4, 0}, {1/4, 3/4, 0, 1/2, 0, 0, 0, 0, 
    3/4}, {1/2, 0, 0, 0, 1/4, 0, 1/4, 0, 3/4}, {1/4, 1/4, 0, 1/2, 1/2, 0, 0, 
    0, 0}, {0, 0, 0, 3/4, 0, 0, 1/2, 3/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, {1, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {1/2, 1, 1/2, 0, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1, 0, 0, 1, 0, 1, 1}, {2/3, 1/3, 0, 1/3, 1/3, 0, 1, 0, 0}, 
   {1, 0, 1/3, 0, 0, 1/3, 2/3, 0, 0}, {0, 0, 0, 1/3, 1/3, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/3, 1/3, 0, 0}, 
   {0, 0, 2/3, 2/3, 1, 0, 0, 1/3, 2/3}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 2/3, 0, 0, 1/3, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 1/3, 0, 0, 0}, {0, 0, 1/3, 2/3, 1/3, 0, 0, 1/3, 0}, 
   {2/3, 0, 2/3, 0, 1/3, 1, 0, 0, 1/3}, {0, 2/3, 0, 1, 0, 0, 1, 1/3, 0}, 
   {0, 0, 2/3, 1/3, 0, 2/3, 1/3, 0, 0}, {2/3, 0, 0, 0, 1, 2/3, 1/3, 1/3, 0}, 
   {2/3, 0, 1/3, 1/3, 1/3, 0, 0, 0, 1/3}, {0, 0, 0, 1/3, 2/3, 0, 0, 1/3, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1, 1, 0, 0, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 3/5, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 3/5}, 
   {0, 1, 0, 0, 1/5, 0, 4/5, 0}, {1/5, 0, 0, 3/5, 4/5, 1, 0, 2/5}, 
   {1/5, 0, 1, 1, 0, 0, 4/5, 3/5}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {2/5, 0, 0, 3/5, 2/5, 3/5, 1, 0}, {0, 1/5, 4/5, 1/5, 0, 4/5, 0, 4/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1/2, 0, 1, 0, 1, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 1, 0, 0, 2/3, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {2/3, 0, 1, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 1, 2/3, 0, 1, 1/3, 0, 0, 0}, {1/3, 0, 0, 2/3, 0, 0, 0, 1, 0}, 
   {0, 0, 1/3, 0, 0, 0, 2/3, 1, 1/3}, {0, 0, 1/3, 0, 0, 2/3, 1/3, 0, 1}, 
   {0, 1/3, 0, 1/3, 2/3, 2/3, 0, 0, 0}, {0, 1, 0, 1/3, 0, 0, 0, 2/3, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 1, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1/2, 0, 1/2, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 1}, {1, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 1, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 1, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/7, 0, 0, 0, 4/7, 1, 0, 0, 3/7}, {2/7, 0, 0, 3/7, 1/7, 0, 3/7, 1, 0}, 
   {4/7, 4/7, 0, 0, 0, 3/7, 0, 0, 1/7}, {4/7, 6/7, 0, 0, 0, 0, 0, 4/7, 0}, 
   {2/7, 4/7, 0, 0, 2/7, 0, 0, 4/7, 0}, {0, 0, 4/7, 4/7, 0, 0, 0, 0, 6/7}, 
   {0, 2/7, 4/7, 1/7, 3/7, 0, 2/7, 0, 3/7}, {0, 0, 0, 3/7, 3/7, 0, 4/7, 0, 
    1}, {0, 0, 6/7, 0, 0, 3/7, 3/7, 3/7, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 1/3, 1, 1/3, 0, 1}, {2/3, 2/3, 0, 1, 0, 0, 0, 1/3, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 0, 1, 2/3}, {0, 0, 0, 2/3, 1/3, 1/3, 0, 1/3, 2/3}, 
   {0, 0, 2/3, 1, 2/3, 0, 1/3, 0, 1/3}, {2/3, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1, 1, 0, 1, 1/2, 0, 1}, 
   {1, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1/2, 1, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1/2, 0, 1/2, 1, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{9/13, 0, 11/13, 0, 2/13, 1/13, 0, 0, 2/13}, {0, 1/13, 0, 11/13, 1, 0, 0, 
    0, 12/13}, {1, 0, 1, 0, 0, 3/13, 0, 0, 0}, {0, 12/13, 0, 0, 0, 0, 2/13, 
    2/13, 0}, {0, 0, 0, 2/13, 4/13, 0, 2/13, 0, 10/13}, 
   {0, 8/13, 0, 4/13, 0, 2/13, 0, 0, 0}, {0, 5/13, 0, 2/13, 0, 9/13, 2/13, 
    4/13, 0}, {2/13, 11/13, 0, 0, 0, 1, 0, 0, 0}, 
   {1/13, 0, 1/13, 1/13, 5/13, 0, 10/13, 12/13, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {1/2, 1/2, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1, 1, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {1, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/6, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 2/3, 0, 1/6, 1/3, 0, 0, 5/6}, 
   {2/3, 0, 0, 2/3, 1, 0, 1, 1, 0}, {0, 2/3, 0, 1/6, 0, 1/3, 1/6, 2/3, 0}, 
   {0, 0, 1/6, 1/3, 0, 1, 0, 1/2, 0}, {1/2, 2/3, 0, 1/3, 1/2, 0, 0, 0, 1/3}, 
   {0, 0, 0, 1/6, 0, 2/3, 1, 1/2, 0}, {1/6, 0, 0, 2/3, 5/6, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 1/3, 0, 2/3, 1/6, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 1/2, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 0, 1/5, 1, 0, 0, 0, 0}, {0, 3/5, 1, 0, 0, 0, 0, 0, 2/5}, 
   {0, 0, 0, 0, 3/5, 0, 3/5, 0, 2/5}, {0, 3/5, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 2/5, 3/5, 0, 3/5, 2/5, 0, 0}, {1, 2/5, 0, 0, 0, 1, 0, 2/5, 0}, 
   {0, 0, 4/5, 0, 1, 1, 0, 2/5, 1/5}, {1, 0, 0, 4/5, 0, 0, 0, 2/5, 0}, 
   {1, 2/5, 0, 4/5, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, {0, 0, 1, 1, 1, 0, 0, 1/2, 0}, 
   {1, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1/2, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1/3, 0, 0, 0, 2/3}, {1/3, 0, 1, 0, 0, 1/3, 2/3, 0, 0}, 
   {1/3, 1, 0, 0, 2/3, 1, 0, 0, 0}, {1/3, 1, 0, 0, 0, 1, 0, 2/3, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 2/3, 0}, {1, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {1/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {1/3, 0, 2/3, 0, 0, 2/3, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, {1, 0, 1/2, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 1, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2, 
    0}, {0, 1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 
    0}, {0, 0, 1, 1/2, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{4/7, 4/7, 4/7, 0, 0, 0, 2/7, 0, 0}, {4/7, 4/7, 0, 2/7, 0, 2/7, 0, 0, 
    4/7}, {4/7, 0, 4/7, 0, 0, 0, 6/7, 4/7, 0}, {0, 0, 2/7, 1/7, 3/7, 0, 0, 
    2/7, 3/7}, {0, 0, 0, 3/7, 3/7, 4/7, 0, 0, 1/7}, 
   {0, 4/7, 0, 0, 0, 3/7, 3/7, 3/7, 0}, {0, 0, 2/7, 0, 2/7, 1/7, 0, 0, 3/7}, 
   {0, 4/7, 0, 3/7, 3/7, 0, 3/7, 1/7, 0}, {0, 0, 4/7, 0, 0, 1/7, 0, 0, 3/7}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1, 1/2}, {1, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1, 0, 1}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1, 1}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 1, 0}, {1/2, 1, 0, 0, 0, 1, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/3, 0, 1/3, 0}, {0, 2/3, 0, 0, 0, 0, 0, 1/3, 1/3}, 
   {1/3, 0, 1/3, 0, 1/3, 0, 1/3, 0, 2/3}, {0, 1/3, 2/3, 0, 1/3, 0, 1/3, 2/3, 
    0}, {1/3, 0, 1/3, 0, 0, 2/3, 0, 1, 0}, {2/3, 1, 0, 0, 0, 0, 1, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0, 1}, {2/3, 0, 0, 2/3, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 1/3, 0, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{5/7, 2/7, 5/7, 0, 2/7, 0, 0, 1/7, 0}, 
   {0, 1/7, 0, 6/7, 6/7, 0, 1/7, 0, 3/7}, {3/7, 0, 5/7, 2/7, 0, 0, 2/7, 1/7, 
    0}, {0, 0, 0, 2/7, 6/7, 0, 0, 6/7, 0}, {4/7, 4/7, 0, 0, 0, 2/7, 0, 0, 
    2/7}, {0, 4/7, 0, 0, 2/7, 6/7, 0, 0, 2/7}, {0, 1/7, 0, 2/7, 0, 6/7, 0, 
    1/7, 0}, {0, 3/7, 0, 0, 0, 4/7, 2/7, 1/7, 0}, 
   {1/7, 0, 5/7, 0, 2/7, 0, 5/7, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {1, 1/3, 0, 0, 1/3, 0, 2/3, 0, 0}, {0, 0, 1/3, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 2/3, 1/3, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 2/3}, 
   {1/3, 1/3, 0, 1/3, 2/3, 1, 0, 2/3, 0}, {1/3, 1, 0, 1/3, 0, 1/3, 2/3, 2/3, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {1, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 1/2, 0, 1/2}, {1, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 1, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 1/4, 0, 1, 0, 3/4}, 
   {0, 1/4, 0, 3/4, 0, 1/2, 1/2, 1/2, 0}, {1/4, 1/4, 1/2, 1/2, 0, 3/4, 0, 0, 
    0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/4, 1/2, 0, 0, 1/2, 0}, 
   {1/4, 0, 1/2, 1/4, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/4, 1/4, 0, 0, 1/2, 
    1/2}, {1/4, 0, 1/4, 0, 3/4, 1/4, 0, 3/4, 0}, {1/2, 3/4, 0, 0, 0, 0, 0, 0, 
    1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1/3, 0, 1}, 
   {2/3, 0, 0, 1/3, 1/3, 0, 0, 1, 0}, {0, 2/3, 0, 0, 0, 2/3, 2/3, 2/3, 0}, 
   {0, 2/3, 2/3, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 1, 0, 1/3, 2/3}, {0, 0, 2/3, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1/3, 1, 0, 1, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1, 0, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 2/3, 2/3, 1/3, 1/3, 0}, {1, 0, 0, 1/3, 1, 0, 0, 0, 0}, 
   {0, 1, 1/3, 0, 0, 0, 2/3, 0, 1}, {1/3, 0, 2/3, 0, 0, 0, 0, 0, 1/3}, 
   {0, 1/3, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {1, 0, 0, 2/3, 0, 1, 0, 0, 0}, {1, 2/3, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 2/3, 1, 0, 0, 0, 1/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1, 0, 1/2, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1/3, 0, 1/3, 2/3, 1, 0}, {0, 0, 1, 0, 0, 0, 1/3, 0, 1}, 
   {1/3, 1/3, 0, 0, 2/3, 0, 0, 2/3, 1/3}, {0, 0, 1, 0, 0, 2/3, 1/3, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 2/3, 0, 1}, 
   {2/3, 1/3, 0, 0, 1/3, 0, 0, 0, 1/3}, {0, 1, 0, 1, 0, 1/3, 1/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1/2, 1, 0, 1/2, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 1, 0, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1/2, 1, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 1/2, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 1/3, 0, 1, 0, 1/3, 0}, 
   {0, 0, 1, 0, 1/3, 0, 2/3, 0, 0}, {1/3, 2/3, 0, 0, 0, 2/3, 0, 1/3, 1/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 1/3, 1/3, 0}, {2/3, 1/3, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 2/3, 0, 0}, {0, 1/3, 0, 1, 0, 1/3, 0, 0, 1/3}, 
   {1/3, 1, 0, 2/3, 1/3, 0, 1/3, 0, 0}, {0, 0, 1, 0, 1/3, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1, 1, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 2/3, 1/3, 0, 1/3, 1/3, 0}, {2/3, 2/3, 0, 1, 0, 1/3, 0, 0, 
    1/3}, {0, 0, 1/3, 0, 1, 1/3, 2/3, 2/3, 0}, {0, 2/3, 1/3, 1/3, 1/3, 0, 0, 
    0, 2/3}, {0, 0, 2/3, 1, 0, 2/3, 0, 1/3, 0}, {1/3, 1/3, 0, 0, 2/3, 1/3, 0, 
    0, 2/3}, {0, 0, 0, 0, 2/3, 1/3, 0, 0, 0}, {0, 0, 1/3, 0, 0, 0, 1/3, 0, 
    2/3}, {0, 2/3, 0, 0, 0, 0, 1/3, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 1, 0, 2/3, 1/3}, {2/3, 0, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 1/3, 0, 1, 1/3, 0}, {0, 0, 1/3, 1/3, 0, 2/3, 0, 1/3}, 
   {0, 2/3, 1/3, 1, 0, 0, 0, 1/3}, {2/3, 0, 0, 0, 1/3, 1, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 1, 0, 1, 0, 0, 0, 1/2, 1}, {0, 0, 1, 0, 0, 1/2, 0, 1, 1}, 
   {1/2, 1, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 2/3, 1/3, 0, 1/3, 2/3}, 
   {0, 1/3, 0, 1, 1/3, 0, 0, 1/3, 0}, {2/3, 2/3, 0, 1/3, 0, 1/3, 0, 0, 0}, 
   {1, 0, 0, 0, 2/3, 0, 0, 1/3, 0}, {2/3, 1, 0, 1/3, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 2/3, 0, 1/3, 1/3, 0, 1/3}, {0, 0, 1, 0, 1/3, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 0, 0, 0, 1/3, 2/3, 0, 0}, 
   {0, 0, 1/3, 1, 1/3, 0, 0, 0, 0}, {1/3, 1/3, 0, 0, 0, 1/3, 1/3, 1, 1/3}, 
   {0, 0, 1/3, 0, 2/3, 1, 0, 2/3, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{4/5, 4/5, 0, 0, 0, 4/5, 0, 0, 0}, {0, 0, 0, 0, 0, 4/5, 0, 0, 4/5}, 
   {2/5, 0, 0, 4/5, 0, 0, 0, 4/5, 0}, {2/5, 0, 0, 0, 0, 1/5, 4/5, 0, 1}, 
   {2/5, 4/5, 0, 0, 0, 1, 0, 0, 1/5}, {0, 0, 0, 1/5, 1, 0, 1, 1/5, 0}, 
   {2/5, 0, 4/5, 0, 0, 1, 1/5, 1, 0}, {0, 2/5, 4/5, 0, 0, 3/5, 3/5, 3/5, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 
    1/2}, {0, 1, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 
    1/2}, {0, 1, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 
    1/2}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1/2, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1/2, 1/2, 0, 1, 0, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1/2, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1/2, 0}, {1, 1, 0, 1/2, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1, 1/2, 1/2, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1, 0}, {1, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 4/5, 2/5, 2/5, 0, 0, 0, 0, 2/5}, {0, 0, 0, 0, 0, 4/5, 0, 2/5, 0}, 
   {0, 0, 0, 1, 0, 4/5, 0, 2/5, 1}, {4/5, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {2/5, 2/5, 0, 0, 1, 1/5, 1, 1/5, 0}, {0, 0, 2/5, 0, 1, 1/5, 0, 0, 3/5}, 
   {0, 0, 0, 1, 0, 0, 1, 3/5, 0}, {0, 0, 0, 0, 1, 3/5, 0, 2/5, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1/2, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 0, 1/2, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1, 1/2, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/4, 0, 1/4, 0, 3/4, 1/4}, 
   {1/4, 0, 3/4, 3/4, 1/2, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 3/4, 3/4, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/4}, {0, 0, 3/4, 1/2, 0, 1/4, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/4}, {0, 0, 1/2, 0, 1/2, 3/4, 3/4, 0, 1/4}, 
   {1/2, 3/4, 0, 3/4, 1/4, 0, 1/4, 1/4, 0}, {1, 0, 0, 1/4, 0, 1, 0, 1/2, 
    1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 
    1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {1, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, {1, 1, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 2/3, 0, 1/3, 0, 2/3, 0, 2/3, 1/3}, 
   {2/3, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 2/3, 2/3, 1/3, 2/3, 0, 1/3, 1/3, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 1, 0, 1/2, 1, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1/2, 0, 0}, {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {1/2, 0, 1, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1, 0, 0, 1/3, 0, 0, 2/3, 2/3}, 
   {0, 0, 1/3, 1, 0, 1/3, 0, 0, 0}, {1, 1, 0, 0, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 1, 0, 1/3, 0, 1/3, 0, 0, 2/3}, {0, 0, 1/3, 0, 1, 0, 0, 2/3, 2/3}, 
   {0, 0, 1, 0, 1, 2/3, 0, 0, 0}, {2/3, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 1, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/7, 0, 0, 1/7, 6/7, 0, 3/7, 0, 1}, {0, 5/7, 6/7, 3/7, 0, 1/7, 0, 1/7, 
    0}, {0, 3/7, 6/7, 0, 0, 0, 0, 1/7, 3/7}, {0, 0, 0, 2/7, 6/7, 0, 1/7, 0, 
    1/7}, {1, 1/7, 0, 0, 0, 1/7, 0, 0, 0}, {0, 1/7, 0, 0, 1, 0, 3/7, 0, 0}, 
   {0, 3/7, 1/7, 6/7, 0, 6/7, 0, 0, 0}, {6/7, 0, 0, 0, 1/7, 0, 3/7, 1, 0}, 
   {1/7, 0, 1/7, 0, 0, 2/7, 3/7, 5/7, 3/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1, 1/2, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/5, 4/5, 1, 0, 0}, 
   {0, 4/5, 0, 0, 1/5, 0, 1, 0, 0}, {2/5, 0, 0, 1, 0, 1, 0, 1/5, 1/5}, 
   {2/5, 0, 4/5, 2/5, 1/5, 0, 0, 3/5, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 3/5}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 4/5}, {0, 0, 0, 0, 4/5, 0, 0, 0, 3/5}, 
   {2/5, 0, 0, 2/5, 4/5, 0, 0, 0, 1/5}, {0, 4/5, 0, 0, 0, 2/5, 0, 4/5, 1/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1/2, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 0, 0, 2/3, 1/3, 1, 0}, {1/3, 0, 0, 0, 2/3, 0, 2/3, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 2/3, 0, 0, 0, 2/3, 2/3, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 2/3, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {1/3, 0, 2/3, 0, 0, 0, 1, 1/3, 0}, {0, 1, 1, 2/3, 0, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 1, 1/2, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, 
   {1, 0, 1/2, 1, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 1/2, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 2/3, 0, 0, 2/3, 0, 1, 1, 0}, 
   {1, 0, 0, 2/3, 0, 0, 1, 1, 0}, {0, 1/3, 1, 0, 2/3, 0, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, {1, 0, 0, 0, 0, 0, 2/3, 0, 1}, 
   {1/3, 2/3, 0, 0, 0, 0, 0, 2/3, 1}, {0, 1/3, 1, 0, 0, 2/3, 1/3, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 2/3, 1/3, 1/3, 0}, 
   {0, 1, 0, 0, 2/3, 2/3, 0, 1/3, 0}, {0, 0, 1, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {2/3, 0, 1/3, 0, 1/3, 1/3, 1/3, 0, 0}, 
   {1, 0, 0, 0, 1/3, 0, 0, 0, 1/3}, {0, 2/3, 0, 2/3, 0, 0, 1/3, 1/3, 0}, 
   {0, 1, 0, 2/3, 0, 0, 1/3, 0, 0}, {0, 0, 1, 0, 1/3, 1/3, 0, 2/3, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {1/2, 0, 1, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1, 0, 1/3, 0, 1/6, 0, 0}, 
   {0, 1/3, 0, 0, 1/3, 1, 0, 1/3, 0}, {1/6, 1/6, 5/6, 1/2, 0, 0, 1/6, 0, 
    1/2}, {0, 0, 1, 0, 1/3, 1/2, 0, 0, 1/2}, {1, 1/3, 0, 1, 0, 0, 0, 1/6, 0}, 
   {0, 0, 2/3, 0, 1/3, 2/3, 1/3, 0, 1/3}, {1, 1/3, 0, 0, 1/6, 0, 1/2, 0, 
    1/2}, {0, 0, 2/3, 2/3, 0, 0, 1/3, 1/2, 0}, {1, 2/3, 0, 0, 2/3, 0, 0, 0, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 1, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 1/2, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 2/3, 0, 1, 0, 0, 0}, {0, 1/3, 0, 0, 0, 0, 2/3, 0, 1}, 
   {1, 0, 0, 0, 2/3, 0, 2/3, 1/3, 0}, {0, 0, 1, 1/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 2/3, 1/3}, {0, 0, 1/3, 1/3, 2/3, 0, 0, 0, 0}, 
   {1, 0, 0, 1/3, 0, 2/3, 0, 0, 1/3}, {1, 1/3, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 1, 2/3, 0, 1, 0, 1/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 1, 0, 1, 1, 0, 0, 0}, {1, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 0}, {0, 1/2, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1/2, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/7, 5/7, 0, 0, 3/7, 0, 0}, {4/7, 2/7, 0, 0, 3/7, 1/7, 0, 1/7, 1}, 
   {2/7, 0, 2/7, 5/7, 0, 0, 0, 5/7, 3/7}, {0, 0, 0, 1, 0, 2/7, 0, 5/7, 5/7}, 
   {2/7, 2/7, 0, 0, 5/7, 5/7, 1, 0, 0}, {0, 0, 0, 0, 4/7, 4/7, 0, 6/7, 0}, 
   {0, 2/7, 6/7, 0, 2/7, 0, 2/7, 0, 2/7}, {2/7, 4/7, 0, 6/7, 0, 0, 4/7, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 0, 3/4}, {0, 3/4, 0, 3/4, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/4, 0, 1, 3/4, 1/2, 0}, {1, 1/4, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/4, 0, 1}, {0, 0, 1, 0, 1, 0, 3/4, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {3/4, 0, 1/4, 3/4, 1/4, 3/4, 0, 
    1/4, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1, 1}, {1, 0, 1, 1/2, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/3, 0, 1/3, 2/3, 1, 0}, 
   {0, 2/3, 0, 0, 1/3, 0, 1, 0, 1/3}, {0, 2/3, 0, 0, 1/3, 2/3, 0, 1/3, 0}, 
   {0, 0, 2/3, 1/3, 0, 1/3, 1/3, 0, 1}, {0, 2/3, 0, 0, 1/3, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {1, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 4/5, 2/5, 2/5, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 4/5, 2/5, 0}, 
   {0, 1/5, 0, 3/5, 1, 0, 2/5, 0, 0}, {3/5, 0, 1/5, 0, 2/5, 1/5, 0, 2/5, 0}, 
   {1, 0, 3/5, 0, 0, 1/5, 0, 2/5, 0}, {0, 1/5, 0, 0, 0, 1, 0, 0, 4/5}, 
   {3/5, 0, 1/5, 1/5, 1/5, 0, 0, 2/5, 4/5}, {0, 1, 2/5, 2/5, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {1/2, 0, 1, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1/2, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1, 0, 1/3, 0, 0, 0, 0}, {0, 0, 1, 2/3, 1/3, 0, 2/3, 2/3, 0}, 
   {1/3, 1/3, 0, 1/3, 0, 1, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {2/3, 2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {1, 1/3, 0, 0, 1/3, 0, 0, 0, 2/3}, {0, 0, 1, 1/3, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 0, 2/3, 0, 0, 1/3}, {1/3, 1, 0, 0, 0, 0, 1/3, 1, 0}, 
   {2/3, 0, 1, 0, 2/3, 0, 1/3, 1/3, 0}, {0, 2/3, 1/3, 2/3, 0, 2/3, 1/3, 1/3, 
    0}, {1/3, 1, 0, 2/3, 0, 0, 0, 0, 1}, {0, 2/3, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 1, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 1/2, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1/2, 1, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 1, 1, 0, 2/3, 0, 0, 1/3, 1/3}, {1, 2/3, 2/3, 0, 0, 0, 1/3, 0, 0}, 
   {1, 0, 2/3, 0, 0, 2/3, 1, 2/3, 0}, {0, 1, 1/3, 0, 0, 2/3, 1/3, 0, 0}, 
   {1/3, 0, 0, 0, 0, 0, 0, 1/3, 1}, {1/3, 0, 0, 0, 2/3, 0, 0, 1/3, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 0, 1/3, 0, 1, 1, 0, 1/3, 0}, {2/3, 0, 0, 1/3, 0, 0, 0, 1/3, 1}, 
   {0, 1/3, 0, 1, 0, 0, 1/3, 0, 0}, {1, 2/3, 0, 0, 1/3, 1/3, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 1/3, 1/3, 0, 1/3}, {0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 0, 1/3, 0, 1/3, 0, 1/3, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 1, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {1, 1, 0, 1, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 0, 0, 1}, {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1, 1/2, 1/2, 1, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {1, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 1/3, 0, 1, 0, 1, 1/3}, {2/3, 2/3, 0, 0, 1/3, 0, 1/3, 0, 0}, 
   {0, 0, 0, 2/3, 1, 0, 0, 1, 1/3}, {0, 0, 2/3, 1/3, 0, 1/3, 1/3, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 3/5, 1/5, 3/5, 0, 0, 2/5, 2/5}, {0, 2/5, 1, 3/5, 1, 0, 0, 0, 0}, 
   {1, 1/5, 0, 0, 0, 1/5, 2/5, 4/5, 0}, {0, 0, 3/5, 2/5, 0, 1, 2/5, 0, 0}, 
   {2/5, 0, 1/5, 2/5, 0, 1/5, 0, 2/5, 2/5}, {1, 1/5, 0, 1/5, 1/5, 0, 0, 0, 
    4/5}, {0, 4/5, 2/5, 0, 0, 2/5, 0, 0, 0}, {0, 0, 0, 0, 0, 2/5, 2/5, 0, 
    4/5}, {0, 2/5, 0, 0, 2/5, 0, 2/5, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 1, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/7, 4/7, 1/7, 0, 1/7, 0, 0, 1/7, 0}, 
   {2/7, 4/7, 0, 0, 0, 1/7, 1/7, 0, 0}, {0, 0, 1/7, 4/7, 2/7, 0, 0, 2/7, 0}, 
   {2/7, 0, 1/7, 0, 3/7, 5/7, 0, 3/7, 0}, {0, 2/7, 0, 0, 0, 1, 0, 1/7, 1/7}, 
   {1/7, 5/7, 0, 0, 1/7, 0, 6/7, 0, 6/7}, {2/7, 0, 4/7, 3/7, 2/7, 2/7, 1/7, 
    0, 0}, {0, 2/7, 0, 6/7, 6/7, 0, 0, 6/7, 0}, {4/7, 0, 1, 0, 0, 0, 3/7, 0, 
    3/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 1/3, 1, 0, 0, 1, 0}, {2/3, 0, 0, 0, 1, 1/3, 0, 1}, 
   {0, 2/3, 2/3, 0, 1, 0, 1/3, 0}, {2/3, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1/3, 1, 0, 1/3, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1/2, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 4/7, 0, 6/7, 2/7, 0, 6/7, 0, 0}, 
   {2/7, 0, 0, 4/7, 0, 4/7, 0, 0, 2/7}, {0, 1/7, 4/7, 0, 0, 2/7, 5/7, 0, 0}, 
   {1/7, 0, 3/7, 0, 4/7, 0, 0, 1/7, 3/7}, {0, 1/7, 0, 0, 0, 6/7, 1, 4/7, 0}, 
   {0, 3/7, 0, 0, 0, 0, 0, 5/7, 5/7}, {2/7, 3/7, 0, 0, 0, 0, 0, 3/7, 5/7}, 
   {5/7, 0, 1/7, 0, 4/7, 0, 3/7, 2/7, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 0, 0, 1/3, 0, 0, 2/3}, {0, 1/3, 0, 2/3, 1, 0, 0, 0}, 
   {1/3, 0, 1/3, 1/3, 0, 2/3, 0, 0}, {0, 1/3, 0, 0, 1/3, 2/3, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 2/3, 2/3, 0, 0, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/4, 1/4, 3/8, 3/4, 0, 0, 1/8, 1/2}, {1/2, 3/8, 0, 0, 3/8, 0, 5/8, 0, 
    0}, {1/2, 0, 0, 3/8, 0, 0, 1, 3/8, 0}, {7/8, 3/8, 0, 0, 0, 0, 0, 5/8, 0}, 
   {1/8, 0, 0, 0, 0, 3/4, 0, 5/8, 0}, {0, 5/8, 5/8, 0, 0, 0, 7/8, 0, 1/2}, 
   {1/8, 0, 0, 3/8, 0, 3/4, 0, 0, 1}, {0, 5/8, 1, 3/8, 3/8, 0, 1/8, 7/8, 0}, 
   {7/8, 0, 3/8, 0, 3/8, 0, 3/8, 0, 5/8}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/3, 1, 1/3, 0}, {2/3, 0, 1, 1/3, 0, 0, 0, 1/3}, 
   {0, 2/3, 1/3, 1/3, 0, 1/3, 0, 0}, {0, 0, 0, 0, 1, 0, 1/3, 1}, 
   {0, 2/3, 0, 0, 0, 0, 1/3, 2/3}, {2/3, 0, 0, 2/3, 0, 0, 1/3, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 1/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 1/2, 1, 0, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 1, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1/2, 1, 0, 1, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1, 1, 0, 0}, {0, 1/2, 1/2, 0, 1, 1/2, 1/2, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{8/9, 0, 0, 0, 0, 4/9, 2/9, 0, 0}, {0, 2/9, 0, 0, 2/3, 0, 0, 2/9, 4/9}, 
   {4/9, 0, 4/9, 0, 0, 0, 2/9, 4/9, 0}, {0, 2/3, 1/3, 2/3, 0, 4/9, 1/3, 0, 
    0}, {1, 7/9, 0, 0, 0, 0, 0, 1, 1}, {2/9, 0, 5/9, 4/9, 4/9, 0, 1/3, 2/9, 
    0}, {1/9, 1/3, 2/3, 2/9, 0, 2/9, 1/9, 0, 4/9}, 
   {1/3, 1, 0, 0, 2/3, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 4/9, 0, 1/3, 5/9}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1, 1, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 1, 1/3, 0, 1/3, 0, 1}, {0, 0, 0, 2/3, 0, 1/3, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 1/3, 2/3, 0}, {2/3, 0, 0, 0, 1, 0, 0, 1/3}, 
   {0, 0, 2/3, 0, 1, 0, 0, 1/3}, {0, 0, 1/3, 1/3, 0, 1/3, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {2/3, 0, 0, 0, 0, 1, 1/3, 1, 0}, {2/3, 2/3, 0, 1/3, 1, 0, 0, 0, 1}, 
   {0, 2/3, 2/3, 0, 0, 1/3, 0, 0, 1/3}, {0, 2/3, 0, 1, 1/3, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 0, 0, 1/3, 2/3, 0, 1}, {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 0, 2/3, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 2/3, 2/3, 0, 0, 0, 1/3}, 
   {1, 1/3, 0, 1, 0, 1/3, 0, 0, 0}, {2/3, 1/3, 1, 0, 0, 0, 0, 2/3, 1/3}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3, 1/3}, {0, 0, 0, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 1/3, 0, 0, 0, 2/3, 0, 0, 0}, {1/3, 0, 0, 0, 1, 0, 2/3, 0, 0}, 
   {1, 2/3, 0, 0, 1, 0, 0, 0, 0}, {0, 1/3, 1, 0, 0, 2/3, 1/3, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 0, 0, 1, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 1/3, 1, 0, 1, 0}, 
   {0, 0, 2/3, 1/3, 0, 1, 0, 2/3, 0}, {1, 1/3, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {1/3, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1/3, 2/3, 2/3, 0, 1/3}, 
   {0, 2/3, 1, 1/3, 1/3, 0, 0, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 1/3, 0}, 
   {2/3, 0, 1/3, 1/3, 0, 0, 0, 0, 1/3}, {0, 0, 1/3, 0, 0, 0, 2/3, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 1, 1/2, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 2/3, 0, 2/3, 0, 1/3, 0, 0}, {2/3, 1, 0, 0, 0, 0, 1, 2/3, 0}, 
   {1/3, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1/3, 0, 0, 0, 2/3, 0, 1, 1/3}, 
   {1/3, 0, 0, 1/3, 0, 1, 0, 1/3, 0}, {1, 0, 1/3, 0, 0, 0, 1, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 2/3, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 1, 2/3, 1/3, 0}, {0, 2/3, 0, 0, 1/3, 0, 1, 0}, 
   {0, 0, 1/3, 1, 0, 1, 0, 1}, {2/3, 0, 1/3, 1, 0, 0, 1, 0}, 
   {0, 0, 1/3, 1, 2/3, 0, 1/3, 0}, {0, 2/3, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1/3, 0, 0, 1/3, 1, 0, 0, 0}, {1/3, 0, 1/3, 2/3, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 1, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 1, 0, 1, 0}, {0, 0, 0, 0, 1/3, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 1, 0, 1, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 1, 1/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/3, 0, 1, 2/3, 2/3, 0, 0}, {0, 2/3, 0, 0, 1/3, 0, 1, 1/3, 0}, 
   {2/3, 0, 1, 0, 0, 0, 0, 2/3, 1}, {0, 0, 0, 2/3, 0, 1/3, 1, 1/3, 0}, 
   {1/3, 1, 0, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 1/3, 1/3, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/3, 1/3, 1, 0}, {0, 2/3, 0, 1, 0, 0, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 0, 1/3, 1/3, 0}, {0, 2/3, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 1/2, 0, 1/2, 0}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1, 1/2, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1/2}, {0, 0, 1, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/4, 3/4, 1, 0, 0, 0, 3/4}, 
   {1/2, 1/2, 1/4, 0, 0, 1/2, 1/2, 0, 1/4}, {3/4, 1/4, 0, 1/2, 0, 1, 1/4, 
    1/4, 0}, {0, 0, 1/4, 0, 1/2, 3/4, 0, 1/2, 0}, 
   {0, 1/4, 3/4, 0, 0, 3/4, 0, 0, 1/4}, {0, 1/4, 0, 0, 3/4, 0, 3/4, 3/4, 0}, 
   {1/4, 0, 0, 1/2, 1/4, 0, 1/4, 0, 0}, {1/2, 1/4, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/4, 1/4, 1/4, 0, 1/4, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 2/5, 0, 1, 0, 0}, {0, 1/5, 4/5, 0, 1/5, 0, 1/5, 1/5}, 
   {0, 0, 0, 3/5, 3/5, 0, 3/5, 0}, {0, 3/5, 0, 0, 0, 3/5, 0, 0}, 
   {1/5, 0, 0, 1/5, 0, 0, 2/5, 1}, {4/5, 0, 1, 0, 2/5, 1/5, 0, 0}, 
   {0, 1, 0, 4/5, 3/5, 1/5, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1/2, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 2/3, 1, 0}, 
   {0, 0, 2/3, 0, 0, 1/3, 2/3, 1, 0}, {2/3, 1, 0, 0, 2/3, 0, 0, 0, 1}, 
   {0, 0, 2/3, 0, 0, 0, 1/3, 0, 1}, {0, 1/3, 1/3, 0, 0, 2/3, 0, 1/3, 2/3}, 
   {1/3, 2/3, 0, 1/3, 1, 0, 1, 1/3, 0}, {0, 0, 0, 1/3, 0, 2/3, 1/3, 0, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, {1/3, 0, 2/3, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 1, 1/2, 0}, 
   {1, 1, 0, 0, 0, 1/2, 0, 1, 1}, {0, 1/2, 1/2, 1/2, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 2/3, 1, 0, 0, 0, 0, 1/3}, 
   {2/3, 0, 0, 0, 2/3, 1, 2/3, 0, 0}, {1, 0, 2/3, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/3, 0, 1, 2/3, 0, 1/3, 1/3}, {2/3, 1, 0, 2/3, 0, 0, 1/3, 0, 0}, 
   {2/3, 0, 0, 1/3, 1/3, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1/3, 0, 2/3, 1/3}, 
   {1/3, 0, 1/3, 2/3, 0, 0, 1, 0, 0}, {0, 2/3, 1/3, 0, 0, 0, 1/3, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1, 0, 0, 1, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 1, 0, 0, 2/3, 1}, {0, 0, 1/3, 0, 1, 1, 1/3, 0}, 
   {0, 2/3, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 2/3, 1/3, 1/3, 0}, 
   {0, 0, 0, 1, 0, 1, 1/3, 0}, {0, 0, 1/3, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1/2, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1, 1/2, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 1/3, 2/3, 0, 1/3}, {0, 0, 0, 1/3, 1, 0, 1, 1, 0}, 
   {2/3, 0, 0, 2/3, 0, 1, 0, 0, 1}, {0, 0, 0, 1/3, 0, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 0, 1/3, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 1/3, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 2/3, 0, 1/3, 0, 0, 0, 1/3}, {0, 2/3, 0, 0, 1, 0, 0, 0, 1}, 
   {2/3, 0, 0, 1/3, 0, 1, 1, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1, 1/3, 0, 1/3, 2/3, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 2/3, 0}, {1, 0, 1, 0, 0, 0, 0, 2/3, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1/3, 0}, {0, 0, 0, 1/3, 0, 1/3, 2/3, 0, 0}, 
   {1/3, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 1/3, 1}, 
   {1, 1/3, 0, 0, 0, 1, 0, 0, 0}, {2/3, 0, 1, 0, 1/3, 0, 0, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, {1, 0, 1/2, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {1, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/5, 1/5, 0, 4/5, 0, 0, 0, 0, 1/5}, 
   {2/5, 0, 1/5, 0, 2/5, 0, 1, 1, 0}, {0, 0, 1/5, 0, 4/5, 4/5, 0, 0, 1/5}, 
   {1/5, 1, 0, 0, 0, 0, 3/5, 1/5, 0}, {1/5, 3/5, 0, 0, 0, 2/5, 1/5, 1/5, 0}, 
   {0, 2/5, 2/5, 0, 2/5, 0, 0, 2/5, 2/5}, {0, 0, 0, 0, 4/5, 4/5, 0, 0, 4/5}, 
   {2/5, 0, 4/5, 4/5, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1, 1/2, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 1/2, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 1, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1, 0, 0, 1/3, 1/3, 0, 0, 0}, {0, 0, 0, 1, 0, 2/3, 1/3, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/3, 0, 1}, {0, 0, 0, 1, 2/3, 0, 0, 1/3, 1/3}, 
   {2/3, 0, 1, 0, 0, 1/3, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1/3}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 1/3, 1/3}, {1/3, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/3, 0, 1, 0, 2/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 1, 1/2, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1, 1/2, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 1, 1, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1, 1/3, 0, 1/3}, 
   {0, 0, 1/3, 1, 0, 0, 1, 0}, {1/3, 0, 0, 0, 2/3, 0, 1/3, 0}, 
   {0, 1/3, 2/3, 0, 0, 1, 0, 1/3}, {1/3, 0, 2/3, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 1, 0, 0, 0, 2/3}, {1, 0, 2/3, 0, 1/3, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 0, 1}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 2/3, 0, 1/3, 1, 0, 1/3, 0}, {0, 0, 1, 0, 0, 1/3, 2/3, 0, 2/3}, 
   {1, 1, 0, 0, 2/3, 0, 0, 1, 1}, {0, 0, 1, 2/3, 1/3, 0, 0, 2/3, 0}, 
   {0, 1/3, 0, 2/3, 0, 2/3, 1/3, 2/3, 0}, {2/3, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1/3, 0, 0, 0, 0, 0, 0, 0, 1/3}, {2/3, 0, 0, 1/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/3, 2/3, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 2/3, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1/3, 1, 0, 1, 0, 1}, {2/3, 0, 0, 1/3, 1, 0, 1/3, 0, 1}, 
   {2/3, 0, 2/3, 1/3, 1/3, 0, 0, 1/3, 0}, {0, 0, 0, 2/3, 0, 1, 1/3, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 1/2, 1, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 2/3, 1, 0, 1/3}, 
   {0, 1/3, 0, 2/3, 0, 0, 1/3, 0}, {2/3, 0, 0, 1, 0, 1/3, 0, 1/3}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 1/3, 0, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 1, 0, 1/3, 0, 0, 2/3}, {0, 1, 0, 1/3, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 1/3, 0, 0, 0, 0, 0}, {1, 0, 1/3, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1/3, 0, 0, 2/3, 0}, {0, 1/3, 0, 1, 2/3, 0, 0, 0}, 
   {0, 1, 0, 0, 1/3, 2/3, 0, 0}, {0, 1/3, 0, 2/3, 1, 0, 0, 0}, 
   {1, 0, 1/3, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/3, 0, 0, 1/3, 1, 0, 0, 1, 1/3}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/3, 2/3, 1, 1/3}, 
   {0, 0, 2/3, 0, 0, 1, 0, 1, 1/3}, {0, 2/3, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 1}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/13, 0, 1/13, 0, 2/13, 0, 5/13, 0, 11/13}, 
   {7/13, 11/13, 0, 6/13, 2/13, 0, 0, 1/13, 0}, {0, 0, 3/13, 0, 0, 0, 7/13, 
    0, 1}, {4/13, 0, 12/13, 2/13, 0, 0, 0, 8/13, 0}, 
   {6/13, 2/13, 0, 0, 0, 12/13, 0, 0, 0}, {0, 2/13, 0, 0, 2/13, 12/13, 6/13, 
    0, 0}, {1/13, 5/13, 0, 12/13, 10/13, 0, 3/13, 0, 1/13}, 
   {2/13, 0, 11/13, 0, 0, 2/13, 6/13, 11/13, 0}, 
   {0, 6/13, 7/13, 0, 4/13, 2/13, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, {1/3, 0, 0, 1, 0, 0, 2/3, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1/3, 1, 0, 1/3, 1, 0, 0, 2/3}, 
   {0, 1/3, 1, 1, 0, 0, 0, 0, 2/3}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1/3, 0, 2/3, 0, 1, 1/3, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 1, 1/2, 0, 0, 1/2}, 
   {1, 1, 0, 1, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1}, {0, 0, 1, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 1}, {0, 1/2, 1/2, 0, 1, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 1, 1/2, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1, 0, 0, 1/2, 1, 0, 1/2}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {1, 0, 0, 1, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 0, 1, 1/3, 1, 0}, {2/3, 1/3, 0, 0, 0, 2/3, 0, 1, 0}, 
   {2/3, 0, 0, 1/3, 1, 0, 0, 0, 1}, {0, 2/3, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 2/3, 0, 1}, {1/3, 1, 0, 0, 2/3, 0, 0, 1, 1/3}, 
   {0, 0, 1/3, 2/3, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 1/2}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1/2, 1/4, 1/2, 0, 1/4, 0, 1/2, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 1/4}, {0, 1/4, 0, 1/4, 1/2, 3/4, 1/2, 3/4, 0}, 
   {1, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/4, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/4, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/4, 0, 1/2, 0, 1/4}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 1, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1/2, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 1, 1/2}, 
   {1, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1, 1/2, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1/2, 1/2, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1, 1, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1, 1}, {0, 1, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1, 0, 1, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 
    1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 1, 1, 1, 0, 1}, {0, 2/3, 1/3, 0, 0, 2/3, 1/3, 0}, 
   {0, 0, 1, 2/3, 0, 0, 1, 0}, {0, 0, 0, 1/3, 1, 0, 1, 0}, 
   {2/3, 0, 1, 0, 0, 1, 0, 1}, {0, 2/3, 0, 1/3, 1/3, 0, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0}, {0, 1/2, 1/2, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 1, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1/2, 0, 1/2, 1, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1, 0, 1/2, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 1}, {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 1/3, 0, 1/3, 0, 0, 0}, {0, 0, 0, 0, 0, 1/3, 0, 1, 1/3}, 
   {1/3, 1/3, 0, 2/3, 1/3, 0, 1/3, 0, 0}, {0, 0, 2/3, 0, 0, 0, 1, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 2/3, 1, 0, 0}, {2/3, 2/3, 0, 1/3, 2/3, 0, 0, 0, 1/3}, 
   {0, 0, 2/3, 0, 0, 0, 0, 1/3, 1}, {0, 0, 1, 0, 1/3, 0, 0, 0, 2/3}, 
   {1, 2/3, 0, 0, 0, 1, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 1, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 2/3, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 2/3, 0, 0, 0, 0, 1, 0, 1}, {2/3, 0, 1, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1/3, 1, 0, 1, 2/3, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 1/3, 2/3}, {0, 2/3, 0, 2/3, 0, 0, 0, 1/3, 0}, 
   {1/3, 1/3, 0, 0, 0, 1/3, 0, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 0, 2/3, 0, 1/3, 0, 1}, 
   {0, 0, 1/3, 0, 1/3, 1/3, 0, 1/3, 2/3}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1/3, 0, 0, 0, 1/3, 0}, {0, 0, 1, 0, 0, 0, 0, 1/3, 1}, 
   {1/3, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1/3, 0, 2/3, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 2/3, 0}, {2/3, 1, 0, 1/3, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1/2}, {1/2, 1/2, 0, 0, 1, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 0, 0, 0, 0, 1/3, 0}, 
   {0, 0, 1/3, 1/3, 0, 2/3, 0, 0, 1/3}, {0, 1/3, 0, 0, 0, 0, 0, 1/3, 1}, 
   {1, 0, 2/3, 0, 0, 0, 0, 1, 1/3}, {0, 1, 0, 2/3, 0, 2/3, 1/3, 0, 1/3}, 
   {1/3, 1/3, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 2/3, 1/3, 0, 2/3, 0, 0, 1/3, 
    2/3}, {1, 0, 2/3, 1/3, 0, 0, 1, 0, 1/3}, {2/3, 1/3, 0, 0, 0, 0, 2/3, 2/3, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 1, 0, 1/3, 1, 0}, {2/3, 0, 0, 1/3, 0, 1/3, 2/3, 0, 1}, 
   {0, 0, 2/3, 1, 0, 1, 0, 0, 1/3}, {0, 0, 2/3, 0, 1, 0, 2/3, 0, 1}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, {2/3, 0, 0, 1/3, 0, 1, 1/3, 1, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 0, 0, 1/6, 1/6, 0, 1/2}, {1/6, 1/3, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1/3, 0, 1/2, 1/2, 0, 0, 0, 0, 1/3}, {0, 1/3, 0, 0, 2/3, 0, 1/3, 0, 1/3}, 
   {1/3, 0, 0, 0, 2/3, 2/3, 0, 1/6, 0}, {0, 1/6, 2/3, 0, 0, 0, 1/2, 0, 5/6}, 
   {1/6, 1/6, 0, 1/3, 1/3, 1/6, 0, 1/2, 0}, {1, 1/2, 0, 0, 1/3, 1/2, 0, 0, 
    0}, {0, 0, 1/3, 1/6, 0, 0, 1/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 1/2, 1, 1, 0}, {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 1/3, 0, 2/3, 1, 0}, 
   {0, 2/3, 0, 2/3, 0, 1/3, 2/3, 0, 0}, {2/3, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 1, 0, 0, 1/3, 0}, {1/3, 0, 1, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 1/3, 1/3, 2/3, 0, 2/3}, {0, 0, 0, 1/3, 0, 1, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 0, 0, 2/3, 0, 2/3, 0}, {1/3, 0, 1, 0, 1/3, 0, 1/3, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1/2, 0, 1, 1/2, 0, 1, 1, 0, 1}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1/2, 0, 0, 1/2, 1, 0, 1, 0, 1/2}, {1, 0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 2/3, 0, 0, 1/3, 0, 0}, {1, 0, 0, 2/3, 0, 0, 1, 1}, 
   {0, 1, 0, 2/3, 0, 0, 1/3, 1}, {1/3, 0, 2/3, 0, 2/3, 1/3, 2/3, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/3, 1/3, 0, 2/3, 0, 0, 1/3}, 
   {2/3, 2/3, 0, 1/3, 1/3, 0, 2/3, 1, 0}, {1/3, 1/3, 2/3, 0, 1/3, 0, 0, 1/3, 
    1/3}, {0, 0, 2/3, 1/3, 0, 0, 1/3, 2/3, 0}, {2/3, 0, 1/3, 0, 0, 0, 0, 1/3, 
    1/3}, {1/3, 0, 0, 1/3, 2/3, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 1/3, 2/3, 0, 
    0}, {0, 2/3, 0, 0, 2/3, 1/3, 0, 0, 0}, {0, 1/3, 0, 0, 1/3, 0, 1/3, 0, 
    1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1, 1/2, 0, 0, 1/2}, {0, 1, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 1/2, 0, 0, 0}, {1, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1/3, 1, 0}, 
   {0, 0, 1, 1/3, 0, 0, 0, 0, 0}, {0, 1, 0, 2/3, 1, 0, 0, 0, 0}, 
   {1/3, 0, 0, 2/3, 2/3, 1, 0, 0, 0}, {1, 0, 0, 1/3, 0, 1, 2/3, 0, 1/3}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 2/3}, {1, 0, 0, 1/3, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 1, 0, 2/3, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/3, 1/3, 1/3, 0, 0, 2/3, 0}, {1, 0, 0, 0, 0, 1/3, 2/3, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 2/3, 2/3}, {1/3, 0, 0, 1/3, 1/3, 0, 0, 0, 2/3}, 
   {1, 0, 0, 1/3, 1, 0, 0, 0, 0}, {0, 1/3, 1/3, 0, 0, 1/3, 0, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 
    1/2}, {0, 1, 1/2, 0, 0, 0, 1, 1/2, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 1/2, 1/2, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 1, 0, 0, 0}, {2/3, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 1/3, 0, 2/3, 1}, {0, 1/3, 1/3, 2/3, 1/3, 0, 0, 0, 0}, 
   {1/3, 1/3, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1/3, 1/3, 2/3, 0, 0}, 
   {1/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {1/3, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 1/3, 1/3, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 1/2}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1/2}, {1, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 2/3, 1/3, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, {0, 0, 2/3, 1/3, 0, 0, 1/3, 1}, 
   {0, 2/3, 1, 2/3, 0, 0, 0, 1/3}, {2/3, 0, 0, 1/3, 1, 0, 1/3, 0}, 
   {0, 0, 0, 0, 1, 1/3, 0, 2/3}, {2/3, 0, 2/3, 2/3, 0, 1/3, 1/3, 0}, 
   {0, 2/3, 0, 0, 2/3, 1/3, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 2/3, 0, 0, 0, 1/3, 0, 0, 0}, {0, 1/3, 1/3, 1, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 1/3, 1/3, 1/3, 0, 0, 0, 2/3, 1/3}, {0, 1/3, 1/3, 0, 2/3, 1/3, 1/3, 
    0, 0}, {1/3, 0, 0, 1/3, 1/3, 0, 0, 2/3, 0}, {0, 1/3, 1, 0, 0, 1/3, 1/3, 
    0, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 1/3, 0, 0}, {0, 0, 2/3, 0, 1/3, 2/3, 0, 
    0, 0}, {0, 0, 0, 2/3, 0, 0, 2/3, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 4/7, 0, 0, 0, 4/7, 6/7, 0, 2/7}, {6/7, 0, 0, 0, 2/7, 4/7, 0, 4/7, 0}, 
   {4/7, 0, 2/7, 2/7, 0, 0, 2/7, 2/7, 0}, {0, 1, 0, 2/7, 0, 0, 5/7, 4/7, 0}, 
   {0, 1, 0, 4/7, 4/7, 0, 3/7, 0, 0}, {1/7, 0, 1, 0, 0, 2/7, 0, 3/7, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 3/7, 5/7}, {5/7, 0, 5/7, 2/7, 0, 0, 5/7, 2/7, 0}, 
   {3/7, 0, 5/7, 0, 2/7, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 1/5, 0, 3/5, 4/5, 0, 0, 0}, {0, 0, 3/5, 0, 1/5, 0, 0, 2/5, 2/5}, 
   {3/5, 1/5, 0, 0, 0, 4/5, 4/5, 1/5, 0}, {4/5, 4/5, 0, 3/5, 0, 1/5, 0, 0, 
    0}, {0, 0, 1/5, 0, 4/5, 0, 1, 0, 0}, {0, 2/5, 0, 0, 1/5, 0, 3/5, 0, 1/5}, 
   {2/5, 0, 1/5, 0, 0, 0, 0, 3/5, 4/5}, {3/5, 3/5, 0, 4/5, 1, 0, 1/5, 0, 0}, 
   {0, 0, 1, 1, 0, 3/5, 0, 1/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1, 0, 1, 1/3, 0, 0}, 
   {0, 0, 0, 1/3, 0, 0, 1/3, 1}, {2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 2/3, 2/3, 1/3, 0, 1/3, 0, 0}, {2/3, 0, 1/3, 0, 1, 0, 1/3, 1}, 
   {0, 0, 0, 1, 0, 1, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 2/5, 3/5, 3/5, 0, 2/5, 0, 0}, 
   {0, 0, 0, 0, 1, 2/5, 0, 0, 4/5}, {2/5, 0, 1/5, 0, 1/5, 1/5, 4/5, 0, 3/5}, 
   {0, 0, 0, 1, 0, 0, 0, 2/5, 1}, {2/5, 2/5, 0, 0, 0, 3/5, 3/5, 1/5, 0}, 
   {0, 2/5, 0, 1, 0, 0, 0, 0, 3/5}, {0, 0, 2/5, 0, 0, 3/5, 0, 2/5, 0}, 
   {0, 0, 0, 1/5, 0, 2/5, 1/5, 3/5, 0}, {2/5, 0, 0, 1/5, 0, 0, 3/5, 3/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 1, 0, 0, 1, 0}, 
   {2/3, 1/3, 0, 0, 0, 0, 1/3, 1, 0}, {0, 0, 2/3, 1/3, 0, 1, 1, 0, 1/3}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {1/3, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 1/3, 0, 1/3, 0, 0, 2/3, 1/3}, {0, 0, 2/3, 1/3, 0, 1, 0, 1, 0}, 
   {2/3, 0, 0, 0, 1/3, 0, 1, 0, 1}, {0, 1/3, 1/3, 0, 0, 2/3, 1/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1, 1}, {0, 0, 1, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1, 1/2, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1/2, 1}, {1, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 1, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 1, 1/2, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1/2, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 0, 1, 1/3, 1/3, 0}, {2/3, 0, 0, 0, 1/3, 0, 0, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 1, 0, 0, 1/3}, {0, 0, 2/3, 0, 1, 0, 1, 1/3, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 2/3, 2/3}, {0, 2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 2/3, 2/3, 0, 2/3, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{2/9, 0, 2/9, 0, 4/9, 0, 2/9, 4/9, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0, 4/9}, 
   {0, 4/9, 0, 0, 0, 2/9, 2/9, 2/3, 0}, {2/9, 0, 0, 1, 0, 1, 4/9, 7/9, 0}, 
   {2/3, 8/9, 0, 2/9, 1/3, 0, 1/9, 0, 7/9}, {0, 2/9, 0, 0, 1, 2/3, 1/3, 0, 
    1}, {0, 2/9, 0, 1/3, 0, 1/3, 1/3, 0, 1}, {0, 0, 0, 0, 1, 0, 4/9, 1/3, 0}, 
   {2/9, 0, 4/9, 2/9, 5/9, 0, 0, 1/9, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 1/2}, {1/2, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {1, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 1/2, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 1/3, 0, 1, 1, 0}, {1/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 1/3, 1/3, 0, 1/3, 2/3, 0, 0}, {0, 1/3, 1/3, 2/3, 2/3, 0, 0, 0, 
    1}, {1, 0, 0, 0, 0, 2/3, 1, 1/3, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 0, 0, 0, 2/3, 1}, {0, 0, 0, 2/3, 1, 0, 0, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 2/3, 0, 0, 1, 0, 1/3}, 
   {1, 0, 0, 2/3, 0, 0, 1/3, 0}, {0, 1, 0, 2/3, 0, 0, 1, 0}, 
   {1/3, 0, 2/3, 0, 2/3, 1/3, 0, 1/3}, {0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, {0, 1, 1/2, 1/2, 0, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 0, 1, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1, 1/2}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 1, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 1/3, 2/3, 1, 0}, 
   {1, 0, 0, 2/3, 0, 0, 0, 0, 1/3}, {0, 0, 1/3, 2/3, 1/3, 0, 0, 1, 0}, 
   {0, 1/3, 1/3, 0, 0, 2/3, 1/3, 0, 0}, {0, 1, 0, 1/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/3, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 2/3, 0, 1/3, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1}, {1, 1/2, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1/2, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1, 1/2, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 0, 1, 0, 1/2, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1/2, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 1/2, 0}, {1, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1}, {1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1, 1, 1/2, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1/3, 0, 0, 2/3, 0, 2/3, 1/3, 2/3, 0}, {1, 0, 2/3, 2/3, 0, 0, 1/3, 0, 0}, 
   {0, 1, 0, 0, 2/3, 0, 1, 0, 0}, {1, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 1, 0, 0, 0}, {0, 0, 1/3, 1/3, 1, 0, 0, 1/3, 0}, 
   {0, 1, 1/3, 0, 0, 0, 1/3, 0, 0}, {1/3, 0, 0, 0, 2/3, 0, 0, 1/3, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, {1, 0, 1/2, 1, 1, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1, 1/2}, {1, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1/2, 0, 1, 0, 1, 0, 1/2, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 1, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 1, 1/2, 0, 1, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 0, 1}, {0, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1/2, 0, 0, 1/2}, {1, 1, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 0, 1, 0, 1/2, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 2/3, 0}, {0, 0, 1/3, 1, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 0, 1/3, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1/3, 0}, {1, 1/3, 0, 0, 0, 0, 2/3, 1/3, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 2/3, 0}, {0, 0, 1/3, 0, 0, 1, 0, 1/3, 0}, 
   {0, 1, 2/3, 1/3, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 0, 1, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 1}, {0, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 1, 1/2, 1, 0, 0, 0, 0, 1/2}, {1, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1, 0, 1/2, 1, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1, 1, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1/4, 0, 1, 0, 1/2}, 
   {1/4, 0, 0, 0, 0, 1, 0, 1/4, 1/2}, {1/4, 1/2, 0, 0, 1, 0, 0, 1/4, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/4, 1, 0, 0}, {1/4, 0, 1/2, 3/4, 0, 0, 1/2, 0, 1/2}, 
   {1/4, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 3/4, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 3/4, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 1/3, 2/3, 1/3, 0}, {1/3, 2/3, 0, 1/3, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1/3, 0}, {0, 0, 2/3, 1/3, 2/3, 0, 0, 0, 2/3}, 
   {1/3, 2/3, 0, 1, 0, 0, 0, 2/3, 0}, {1/3, 1/3, 1/3, 0, 1/3, 1/3, 0, 0, 
    2/3}, {0, 0, 1/3, 0, 0, 2/3, 0, 1/3, 2/3}, {1/3, 0, 0, 0, 1, 0, 1, 1/3, 
    0}, {0, 0, 0, 1/3, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/4, 1/4, 3/4, 0, 0, 1/2, 3/4}, {0, 0, 0, 0, 0, 3/4, 3/4, 3/4, 0}, 
   {1/4, 3/4, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 3/4, 1, 0, 1/4, 1/4, 0, 0}, 
   {0, 0, 1/2, 0, 1/4, 1/2, 1/4, 0, 1}, {0, 1/4, 0, 0, 1, 0, 0, 1, 1}, 
   {1/4, 0, 0, 1/2, 0, 1, 0, 1/4, 1}, {1/4, 3/4, 0, 0, 1/4, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 1/3, 1/3, 1/3, 0}, {0, 1/3, 1, 0, 0, 0, 1/3, 0, 1/3}, 
   {0, 0, 1/3, 0, 2/3, 0, 0, 2/3, 0}, {1/3, 0, 1/3, 0, 0, 0, 0, 1/3, 1/3}, 
   {2/3, 1/3, 0, 2/3, 0, 1/3, 0, 0, 0}, {1/3, 1/3, 0, 0, 0, 0, 1/3, 0, 2/3}, 
   {2/3, 1/3, 0, 1/3, 0, 0, 0, 0, 1/3}, {0, 0, 1/3, 1, 0, 2/3, 1/3, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 1, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, {1/2, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, {1, 0, 0, 1/2, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 1, 1, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 1/6, 1/6, 1/3, 0}, {0, 0, 1/2, 5/6, 1/2, 0, 1/6, 0, 
    0}, {0, 2/3, 1/6, 0, 0, 1/6, 0, 1/6, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 1/3, 
    1/2, 0}, {1/6, 0, 0, 1/6, 1/2, 0, 1/6, 0, 5/6}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {2/3, 1/2, 0, 1/3, 0, 1/3, 1/6, 
    1/6, 0}, {5/6, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 
    5/6, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {1, 1, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 1/3, 0, 2/3, 0, 0, 1/3, 1, 0}, 
   {0, 0, 1, 0, 0, 2/3, 0, 0, 1/3}, {0, 2/3, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0, 2/3}, {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {2/3, 0, 1, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {1, 1/3, 0, 0, 2/3, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/4, 3/4, 0, 1/4, 0}, {1/4, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, 
   {3/4, 0, 0, 3/4, 1/2, 0, 1/4, 1/4, 0}, {1, 1/2, 0, 0, 0, 3/4, 0, 0, 1/4}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1, 3/4, 1/2, 0, 1/2, 0, 0}, 
   {1/4, 0, 1/4, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1/4, 3/4, 0, 0, 1/4}, 
   {1/4, 1, 0, 0, 1/4, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 0, 1, 1/2, 0, 1/2}, 
   {1/2, 1/2, 1, 0, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 1, 0, 0, 1, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1/2}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1}, {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 1, 1/2, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}, {1, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 1, 1, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 1, 1, 0, 1/3, 1}, 
   {0, 1/3, 0, 1, 0, 0, 1, 1/3, 0}, {0, 0, 1, 0, 1/3, 0, 1, 0, 0}, 
   {0, 0, 1/3, 2/3, 1/3, 0, 0, 2/3, 1/3}, {0, 0, 0, 1, 0, 0, 0, 2/3, 1}, 
   {1/3, 1, 0, 0, 1, 1/3, 1, 0, 0}, {0, 0, 0, 2/3, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 1/3, 0, 0, 0, 1/3, 2/3}, {2/3, 0, 0, 0, 0, 2/3, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, {1, 0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1, 1/2}, {0, 1, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 2/3, 2/3, 0, 1/3, 0}, {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 2/3, 2/3}, {0, 2/3, 0, 0, 0, 0, 1, 2/3, 0}, 
   {0, 1/3, 2/3, 0, 0, 0, 1, 0, 1/3}, {1, 0, 1/3, 2/3, 0, 0, 0, 1/3, 1/3}, 
   {0, 1, 0, 0, 0, 0, 0, 1/3, 1}, {1/3, 0, 1, 1/3, 0, 0, 1, 0, 0}, 
   {0, 1/3, 0, 0, 0, 2/3, 0, 1/3, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1/3, 1, 0}, {0, 1/3, 0, 0, 0, 1, 0, 1, 0}, 
   {1/3, 2/3, 0, 2/3, 0, 0, 0, 0, 1}, {0, 0, 1/3, 0, 2/3, 2/3, 1, 0, 1}, 
   {0, 1, 0, 1, 1/3, 0, 2/3, 2/3, 0}, {1/3, 0, 0, 0, 0, 0, 2/3, 1/3, 1}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 2/3, 1, 1/3, 0, 0}, 
   {1, 0, 0, 0, 2/3, 0, 1/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 4/5, 0, 0, 0, 2/5, 0, 2/5, 4/5}, {0, 0, 0, 4/5, 0, 2/5, 0, 2/5, 0}, 
   {2/5, 2/5, 0, 2/5, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 3/5}, 
   {0, 0, 4/5, 0, 3/5, 3/5, 1/5, 0, 0}, {0, 0, 2/5, 0, 3/5, 3/5, 3/5, 0, 0}, 
   {0, 0, 0, 3/5, 0, 0, 1, 0, 2/5}, {4/5, 0, 0, 0, 1, 1, 0, 1/5, 1/5}, 
   {0, 0, 2/5, 1/5, 2/5, 0, 3/5, 2/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 0, 1/3, 0, 0, 2/3, 0}, {1/3, 2/3, 0, 0, 0, 2/3, 0, 1/3, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1/3, 2/3, 0, 1/3, 1/3, 0, 0}, 
   {1/3, 1/3, 0, 2/3, 2/3, 0, 0, 0, 2/3}, {1/3, 0, 1, 0, 0, 1/3, 2/3, 0, 0}, 
   {0, 0, 1/3, 0, 1/3, 2/3, 0, 0, 2/3}, {2/3, 2/3, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/4, 1/2, 0, 1/4, 1/2, 0, 1/4, 0, 1}, {3/4, 1, 0, 0, 1/4, 3/4, 0, 0, 
    1/4}, {0, 0, 1, 1, 0, 0, 0, 3/4, 0}, {0, 0, 1/4, 0, 1, 1, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 0, 3/4, 1/4, 0}, {1/4, 1/4, 0, 1/4, 0, 0, 3/4, 0, 3/4}, 
   {1/4, 0, 3/4, 0, 0, 1/4, 0, 0, 3/4}, {0, 1/2, 3/4, 0, 0, 1/2, 1/4, 0, 0}, 
   {0, 1, 0, 3/4, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 2/5, 0, 2/5, 0, 0, 3/5}, {2/5, 1/5, 1, 0, 1/5, 0, 0, 1/5, 0}, 
   {2/5, 0, 0, 3/5, 1/5, 0, 4/5, 1, 0}, {0, 2/5, 0, 1/5, 2/5, 0, 1/5, 0, 0}, 
   {1/5, 2/5, 0, 0, 2/5, 0, 2/5, 0, 0}, {2/5, 4/5, 0, 0, 0, 1/5, 0, 0, 0}, 
   {0, 0, 4/5, 2/5, 0, 3/5, 3/5, 3/5, 0}, {1/5, 0, 0, 0, 2/5, 3/5, 0, 1/5, 
    2/5}, {3/5, 1/5, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 3/5, 0, 0, 2/5, 2/5, 0, 3/5}, 
   {1, 1/5, 0, 4/5, 0, 0, 1/5, 3/5, 0}, {4/5, 0, 1/5, 0, 0, 4/5, 1/5, 1, 0}, 
   {1, 1, 0, 0, 0, 4/5, 0, 0, 1/5}, {0, 0, 1, 2/5, 2/5, 0, 1, 3/5, 0}, 
   {0, 2/5, 2/5, 0, 2/5, 2/5, 0, 0, 0}, {0, 4/5, 0, 0, 4/5, 0, 0, 2/5, 0}, 
   {2/5, 0, 2/5, 0, 0, 0, 2/5, 0, 4/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {1, 0, 1, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 
    1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1/2, 1/2}, {0, 1/2, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 2/3, 0, 0, 0}, {2/3, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 2/3}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1/3, 1, 0, 0, 0, 0, 0, 1, 1/3}, {1/3, 0, 1, 2/3, 0, 0, 1, 0, 1/3}, 
   {0, 0, 2/3, 1/3, 0, 1/3, 2/3, 0, 0}, {0, 1/3, 0, 0, 0, 0, 1, 0, 1}, 
   {2/3, 0, 1, 0, 0, 1, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 1}, {0, 1, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1, 0}, {0, 1/2, 0, 0, 1, 0, 1, 0, 1/2}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, 
   {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/5, 1/5, 0, 2/5, 0, 3/5, 3/5}, {1/5, 0, 1/5, 1/5, 0, 1/5, 0, 3/5, 
    2/5}, {1, 0, 0, 1, 3/5, 0, 1/5, 0, 0}, {0, 0, 0, 3/5, 0, 3/5, 0, 2/5, 
    1/5}, {1/5, 0, 2/5, 2/5, 0, 4/5, 0, 0, 0}, {0, 4/5, 0, 0, 2/5, 0, 3/5, 0, 
    1/5}, {0, 1/5, 1, 1/5, 1, 0, 0, 0, 0}, {1/5, 2/5, 0, 0, 0, 1, 4/5, 0, 
    1/5}, {0, 0, 3/5, 0, 3/5, 1/5, 2/5, 1/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 1, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1}, {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, {1, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/3, 0, 2/3, 2/3, 0, 0, 1/3}, {1, 0, 1, 2/3, 0, 0, 1/3, 0, 0}, 
   {0, 1, 0, 0, 0, 1/3, 0, 2/3, 1}, {0, 1, 0, 1/3, 0, 0, 2/3, 1/3, 0}, 
   {0, 1, 0, 2/3, 0, 0, 2/3, 0, 0}, {1/3, 0, 1, 0, 1/3, 2/3, 0, 1/3, 2/3}, 
   {0, 0, 0, 1/3, 0, 0, 1/3, 1/3, 0}, {1/3, 0, 0, 0, 1/3, 0, 1/3, 0, 0}, 
   {2/3, 0, 0, 0, 1/3, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 0, 1/3, 1/3, 2/3, 0}, {0, 2/3, 0, 2/3, 0, 0, 0, 0, 1/3}, 
   {1/3, 1/3, 0, 0, 1/3, 0, 1/3, 0, 0}, {0, 0, 1, 0, 1/3, 1, 0, 0, 2/3}, 
   {2/3, 0, 1, 0, 1, 0, 1/3, 0, 0}, {0, 1, 0, 2/3, 0, 1, 0, 1/3, 0}, 
   {2/3, 0, 1, 1, 0, 2/3, 1/3, 0, 0}, {2/3, 2/3, 0, 0, 1, 0, 0, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 1, 0, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 
    0}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1}, {1, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 1/2, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 1, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 1, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 1, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 1/2, 0}, {1, 0, 1, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {1/2, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1, 0, 1/3, 1, 0, 2/3, 0, 0}, {0, 0, 1/3, 0, 0, 1, 0, 0, 2/3}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 2/3}, {1/3, 1/3, 0, 0, 0, 1/3, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1, 1/2, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1/5, 3/5, 0}, {0, 4/5, 0, 1/5, 1/5, 0, 0, 0, 1}, 
   {0, 0, 4/5, 0, 0, 1/5, 1/5, 3/5, 0}, {0, 0, 0, 0, 2/5, 4/5, 2/5, 4/5, 0}, 
   {4/5, 2/5, 0, 0, 0, 0, 0, 0, 0}, {4/5, 0, 0, 2/5, 0, 0, 2/5, 0, 0}, 
   {0, 0, 4/5, 0, 2/5, 1/5, 2/5, 0, 1}, {0, 4/5, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 2/5, 4/5, 2/5, 0, 1/5, 0, 0, 3/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1/2, 1/2}, {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/4, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1/4, 0}, 
   {3/4, 1/4, 0, 0, 0, 1/4, 1/4, 1/4, 0}, {0, 0, 0, 1, 0, 3/4, 0, 1/4, 1/4}, 
   {1, 1/2, 0, 0, 1/4, 0, 1/2, 0, 0}, {0, 1/2, 1, 1/4, 1/4, 0, 1/4, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/4, 0, 1/2, 1}, {0, 1/2, 3/4, 0, 0, 1/4, 0, 0, 1/4}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1, 1, 0, 0, 1/2, 0}, {1/2, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/3, 0, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 1, 1/3, 0, 0, 1}, {2/3, 0, 0, 1/3, 1/3, 1/3, 1, 0}, 
   {0, 2/3, 1/3, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 2/3, 0, 0, 1/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 1, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 1, 2/3, 0, 0, 1/3, 1, 0}, {1/3, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 2/3, 2/3, 0, 0, 0, 1}, {2/3, 0, 1, 0, 2/3, 0, 0, 0, 1}, 
   {1/3, 1, 0, 0, 0, 0, 1/3, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1/17, 1/17, 0, 13/17, 16/17, 0, 0, 1}, {1, 0, 0, 0, 4/17, 7/17, 4/17, 
    10/17, 0}, {0, 7/17, 10/17, 1, 0, 0, 1/17, 10/17, 0}, 
   {8/17, 0, 0, 4/17, 0, 0, 9/17, 0, 9/17}, {8/17, 3/17, 0, 1/17, 0, 0, 6/17, 
    3/17, 9/17}, {0, 13/17, 4/17, 0, 1, 11/17, 15/17, 0, 0}, 
   {5/17, 0, 0, 12/17, 3/17, 0, 0, 0, 1/17}, {2/17, 0, 3/17, 6/17, 0, 0, 0, 
    9/17, 4/17}, {0, 4/17, 13/17, 0, 0, 6/17, 2/17, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 1}, {1, 0, 0, 1/2, 0, 1/2, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1/2}, {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 1, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 1, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, {1, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 1/3, 0, 1, 0, 2/3, 0}, 
   {2/3, 1/3, 1/3, 0, 0, 1/3, 0, 0, 0}, {2/3, 0, 0, 0, 1/3, 0, 0, 0, 2/3}, 
   {0, 1/3, 1/3, 1/3, 2/3, 0, 1/3, 0, 0}, {1, 0, 2/3, 1/3, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 0, 1/3, 0, 1/3, 2/3, 0, 0}, {0, 2/3, 2/3, 0, 0, 1/3, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 1/3, 0, 2/3, 2/3}, {0, 0, 0, 1/3, 2/3, 0, 1/3, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 1, 0, 0, 1/2, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1/3, 0, 0, 1/3, 0, 1, 0, 0, 0}, 
   {0, 1/3, 1, 0, 1/3, 0, 2/3, 0, 0}, {0, 1, 1, 1/3, 0, 1, 2/3, 2/3, 0}, 
   {1/3, 0, 0, 0, 1/3, 0, 0, 2/3, 2/3}, {1, 2/3, 0, 2/3, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 1, 1/2, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 2/3, 0, 1/3, 0}, 
   {1, 2/3, 0, 0, 1, 0, 0, 1, 2/3}, {1/3, 0, 1, 2/3, 0, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, {0, 1/3, 2/3, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 1/3, 0, 1/3, 2/3, 0, 0, 0}, 
   {1/3, 1/3, 0, 1/3, 0, 1, 0, 0, 0}, {0, 1/3, 0, 0, 0, 0, 1, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1/2, 0, 1, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {1, 1, 0, 1/2, 0, 1/2, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 0, 1, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1/2, 1}, {0, 1, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 1, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/3, 1, 0, 2/3, 0, 0}, {1, 1/3, 0, 0, 0, 1/3, 0, 2/3, 2/3}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 1, 0, 0, 1/3, 0, 0, 2/3}, {1/3, 1, 0, 1/3, 1/3, 0, 2/3, 0, 0}, 
   {0, 0, 1, 2/3, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1/2, 1, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 2/3, 0, 0, 0, 1, 0, 1/3, 0}, {0, 0, 0, 1, 1/3, 0, 0, 0, 1}, 
   {0, 0, 2/3, 0, 1/3, 1/3, 0, 0, 0}, {0, 1/3, 1/3, 0, 0, 1/3, 0, 1/3, 2/3}, 
   {0, 1/3, 0, 0, 1, 0, 1/3, 0, 0}, {0, 0, 2/3, 0, 1/3, 1, 1/3, 0, 1/3}, 
   {2/3, 1/3, 2/3, 0, 0, 1/3, 0, 0, 1/3}, {0, 0, 0, 1, 0, 0, 2/3, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 0, 0, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 
    1/2}, {0, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 
    0}, {0, 0, 0, 1, 0, 1/2, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 1, 0, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 1}, {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 2/3, 2/3, 0, 1/3, 1/3}, {1, 1, 0, 2/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 1, 2/3, 0, 0, 1/3, 0, 0}, {0, 0, 1/3, 2/3, 0, 0, 1/3, 2/3, 0}, 
   {1, 1/3, 0, 0, 2/3, 0, 0, 1/3, 1/3}, {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/8, 5/8, 0, 5/8}, 
   {1/4, 3/4, 0, 1/2, 0, 0, 3/8, 0, 0}, {0, 1/4, 1/8, 3/8, 1/2, 3/8, 0, 1/4, 
    0}, {3/8, 0, 5/8, 3/8, 0, 0, 0, 7/8, 0}, {5/8, 1/4, 0, 0, 5/8, 3/4, 1/8, 
    0, 1/2}, {0, 3/8, 1/8, 1/8, 0, 0, 0, 1/4, 3/8}, 
   {0, 0, 0, 0, 3/8, 1/2, 0, 3/4, 0}, {1/4, 0, 1/4, 3/4, 1/8, 0, 1/4, 0, 
    1/4}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 1/2}, {0, 1, 1/2, 0, 1/2, 1/2, 0, 1/2, 
    1/2}, {1/2, 0, 0, 0, 0, 1/2, 1, 1, 0}, {1/2, 0, 0, 1, 1, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, {1/2, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1}, {1/2, 0, 0, 0, 0, 1/2, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 2/3, 1/3, 0, 0, 0, 0}, {0, 0, 0, 0, 1/3, 0, 2/3, 0, 0}, 
   {2/3, 1/3, 2/3, 0, 1/3, 1/3, 0, 2/3, 0}, {1, 0, 0, 1/3, 1/3, 0, 2/3, 2/3, 
    0}, {0, 2/3, 1, 1/3, 0, 1, 0, 0, 1/3}, {0, 1, 1, 1/3, 2/3, 0, 0, 1/3, 0}, 
   {1/3, 0, 0, 0, 1/3, 1/3, 0, 1/3, 2/3}, {1, 0, 0, 0, 0, 1/3, 0, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {1, 1, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 1, 0, 1, 1, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 1, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, {0, 1, 1/2, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 1, 1, 0, 0, 0, 0, 0, 0}, {1/2, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 0}, {0, 0, 1/2, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1/2, 0, 1/2, 0}, {1, 1, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 0, 2/3, 1, 0}, {1/3, 0, 2/3, 0, 0, 1/3, 0, 1/3}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {1, 0, 0, 0, 2/3, 0, 1/3, 0}, {0, 1/3, 0, 0, 2/3, 1/3, 0, 1}, 
   {1, 0, 0, 0, 0, 2/3, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 1, 1, 1/2, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {1, 1/2, 0, 0, 1, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1, 0}, {1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 1/3, 0, 1, 0, 0, 0}, {1, 0, 2/3, 0, 2/3, 0, 2/3, 0, 0}, 
   {1/3, 2/3, 1/3, 0, 0, 1/3, 0, 0, 1/3}, {1/3, 1, 0, 0, 2/3, 0, 1/3, 1/3, 
    0}, {1, 0, 2/3, 1/3, 0, 2/3, 0, 0, 2/3}, {0, 1, 0, 1/3, 1, 0, 0, 0, 0}, 
   {0, 0, 1/3, 1/3, 0, 0, 1/3, 1/3, 0}, {0, 1/3, 0, 1/3, 0, 1/3, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 1/3, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 1, 0, 1, 0}, {0, 1, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1, 0, 1/2}, {1, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1/3, 0}, 
   {2/3, 2/3, 0, 1/3, 0, 0, 1, 0, 0}, {0, 0, 2/3, 0, 1/3, 0, 0, 1/3, 1/3}, 
   {0, 0, 1/3, 2/3, 1/3, 0, 2/3, 0, 1/3}, {1/3, 0, 0, 0, 0, 1, 0, 2/3, 2/3}, 
   {1/3, 0, 2/3, 2/3, 0, 0, 1/3, 0, 0}, {0, 1/3, 1/3, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 0, 0, 1/3, 2/3, 1, 0, 1/3}, {1/3, 2/3, 0, 1, 0, 0, 0, 2/3, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 2/3, 0}, 
   {1/3, 1/3, 0, 1, 1/3, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 1/3, 1/3, 1/3, 2/3, 2/3, 0, 2/3}, {1/3, 1, 0, 0, 2/3, 1, 0, 0, 0}, 
   {0, 0, 1/3, 1, 1, 0, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1, 0, 0, 1/2, 0, 1}, {0, 1, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, {1, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2, 1}, {0, 0, 0, 0, 0, 0, 1, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 1/2}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1/3, 0, 0, 0, 1/3}, {0, 1/3, 1/3, 1/3, 0, 1/3, 1/3, 1/3, 0}, 
   {1/3, 0, 0, 2/3, 1/3, 0, 1, 1/3, 0}, {0, 0, 0, 2/3, 1/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 1/3, 2/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 0, 2/3, 0, 0, 1/3}, {0, 1/3, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 2/3, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 0, 0, 1/3, 2/3, 0, 0}, {0, 1, 0, 0, 1/3, 0, 2/3, 0, 2/3}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1/3, 0, 1, 0, 0, 2/3, 0}, 
   {1/3, 0, 1, 0, 1, 0, 0, 0, 0}, {1/3, 1, 0, 1/3, 0, 1/3, 0, 2/3, 2/3}, 
   {0, 0, 0, 1, 0, 2/3, 2/3, 0, 0}, {1/3, 0, 0, 0, 1/3, 0, 0, 1/3, 2/3}, 
   {2/3, 0, 0, 1/3, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/7, 2/7, 1/7, 0, 2/7, 4/7, 0, 0, 1/7}, {2/7, 3/7, 0, 0, 2/7, 4/7, 1/7, 
    1/7, 0}, {1/7, 0, 3/7, 0, 0, 0, 0, 4/7, 1}, {2/7, 6/7, 0, 0, 3/7, 4/7, 0, 
    0, 0}, {0, 0, 0, 4/7, 1/7, 0, 6/7, 2/7, 0}, {0, 0, 0, 0, 1/7, 0, 6/7, 
    2/7, 4/7}, {1/7, 0, 3/7, 3/7, 0, 1/7, 0, 0, 1/7}, 
   {0, 1/7, 0, 6/7, 1/7, 0, 0, 0, 3/7}, {3/7, 0, 1, 0, 1/7, 0, 1/7, 3/7, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 0, 0, 1}, 
   {0, 0, 1, 1/3, 0, 1/3, 1, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 1, 1/3, 1, 0}, 
   {0, 0, 1, 1/3, 2/3, 0, 0, 1/3}, {2/3, 0, 1/3, 1/3, 0, 2/3, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 1/2, 1, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 3/4, 1, 0, 0, 3/4, 0}, 
   {1/2, 0, 3/4, 0, 0, 0, 0, 0, 1/2}, {1/4, 1/4, 0, 0, 3/4, 3/4, 0, 1/4, 0}, 
   {1/2, 0, 1/4, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1/4, 0, 1/4}, {0, 0, 1/4, 3/4, 0, 0, 0, 1, 0}, 
   {0, 0, 1/4, 1/4, 0, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 3/7, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 4/7, 3/7, 0, 3/7}, 
   {1/7, 1, 0, 0, 2/7, 0, 0, 0, 6/7}, {6/7, 0, 1, 0, 4/7, 0, 0, 0, 1}, 
   {0, 3/7, 3/7, 4/7, 0, 4/7, 2/7, 0, 0}, {0, 1, 0, 4/7, 0, 0, 1, 3/7, 0}, 
   {2/7, 0, 0, 0, 0, 0, 0, 5/7, 4/7}, {3/7, 0, 0, 0, 4/7, 4/7, 0, 0, 0}, 
   {0, 0, 4/7, 0, 4/7, 0, 0, 3/7, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1, 0, 1}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 0, 1, 0}, 
   {1, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1/2, 0, 1, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1/2, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 0, 0, 1/3, 2/3}, 
   {1/3, 0, 1, 1/3, 0, 1, 1/3, 0, 0}, {0, 1, 0, 1/3, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1/3, 0, 1/3, 2/3, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1/3, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 1/3, 0, 0}, {0, 1/3, 0, 0, 1/3, 0, 0, 2/3, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1, 1/2, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 1, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1, 1/2, 1/2, 0}, {1, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 1/3, 0, 2/3, 0, 2/3}, {2/3, 0, 1, 0, 0, 0, 1, 1/3, 0}, 
   {0, 0, 0, 1, 2/3, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 2/3, 0}, 
   {2/3, 0, 1, 1, 0, 0, 0, 0, 0}, {1/3, 0, 2/3, 0, 0, 1/3, 0, 0, 1}, 
   {1/3, 0, 0, 0, 1, 1, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 1/3, 1/3, 0, 1/3}, 
   {1/3, 1, 0, 0, 1/3, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 1, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 2/3, 0, 0, 1/3}, {0, 1/3, 0, 0, 0, 1/3, 1, 0}, 
   {1/3, 0, 0, 0, 0, 0, 1/3, 2/3}, {0, 1/3, 0, 2/3, 0, 1/3, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1/3, 0}, {0, 2/3, 2/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 2/3, 2/3, 0, 1/3, 0, 2/3}, {0, 2/3, 0, 0, 0, 1/3, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 1, 0, 1, 1/2}, 
   {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}, {1, 1, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 1, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0}, {1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 1, 0, 0, 1/2}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 1, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {1/2, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 1/4, 0, 1/2, 1/4, 0, 0, 1/2}, 
   {0, 1, 0, 3/4, 0, 1, 3/4, 3/4, 0}, {1/4, 0, 1/2, 1/2, 1, 0, 0, 1/2, 3/4}, 
   {1, 0, 3/4, 0, 0, 1/2, 0, 1/2, 0}, {1/4, 0, 0, 3/4, 0, 1/2, 0, 0, 3/4}, 
   {0, 1/4, 0, 1/4, 1, 0, 3/4, 1/4, 0}, {0, 0, 1/4, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/4, 0, 0, 1/4, 0}, {0, 0, 1/4, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 1/3, 0, 0, 0, 1/3, 0}, {0, 0, 0, 1, 1, 1/3, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {2/3, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1/3, 0, 2/3, 1/3, 2/3, 1}, {2/3, 0, 1, 0, 0, 1/3, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/4, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {1/4, 1/4, 1/2, 0, 1/4, 0, 0, 1/2, 0}, 
   {1/4, 0, 0, 3/4, 1/4, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1/4}, 
   {0, 0, 0, 1, 1/2, 0, 1/4, 0, 0}, {0, 1/4, 1/2, 0, 0, 1/2, 0, 0, 1/4}, 
   {1/2, 1/4, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 3/4, 0, 1/4, 3/4, 1/4, 1/4, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {1, 1/2, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 0, 1/2, 0, 1, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1, 0, 0}, {1/2, 0, 0, 0, 1, 1/2, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, {0, 1, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1/2}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, {0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1, 0, 1}, {1/2, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0}, {0, 1/2, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 1, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {1, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 1, 0, 1/2, 0}, 
   {1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 1/2, 1, 1/2, 0, 1/2}, {1, 0, 0, 1, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 2/3, 0, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 0, 1/3, 1/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 0, 1/3}, {1, 0, 0, 0, 0, 2/3, 0, 1}, 
   {0, 1, 0, 2/3, 0, 1/3, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1/3, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1/3, 1, 1, 0, 1/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, {2/3, 0, 2/3, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, {2/3, 0, 0, 0, 1/3, 1/3, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1/3}, {0, 0, 0, 1, 0, 2/3, 1/3, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 2/3, 0, 0, 1/3, 2/3, 0}, 
   {1/3, 0, 0, 0, 0, 0, 0, 1/3, 2/3}, {1/3, 0, 1/3, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 1/3, 1/3, 0, 2/3, 2/3, 0, 1/3, 1/3}, {0, 1/3, 0, 1/3, 2/3, 0, 1, 0, 
    1}, {1, 0, 0, 0, 0, 1/3, 2/3, 1, 0}, {0, 2/3, 1/3, 0, 0, 0, 2/3, 1/3, 0}, 
   {0, 0, 0, 1/3, 0, 2/3, 1/3, 0, 2/3}, {0, 0, 0, 2/3, 2/3, 0, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, {0, 0, 1/2, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 1/2, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 2/5, 0, 0, 3/5, 4/5, 2/5, 0, 4/5}, {0, 2/5, 4/5, 2/5, 0, 0, 0, 0, 
    2/5}, {0, 0, 0, 4/5, 1/5, 0, 0, 4/5, 0}, {0, 3/5, 1/5, 1/5, 1/5, 0, 0, 0, 
    0}, {1/5, 1/5, 0, 0, 0, 1/5, 0, 2/5, 0}, {1/5, 0, 0, 0, 1/5, 1/5, 0, 2/5, 
    0}, {1, 0, 0, 3/5, 0, 0, 4/5, 0, 4/5}, {0, 1/5, 1/5, 0, 3/5, 1, 2/5, 2/5, 
    0}, {1/5, 0, 2/5, 0, 2/5, 3/5, 1/5, 1/5, 1/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 0, 0, 0, 0, 2/3, 0, 1/3}, {2/3, 0, 1/3, 1/3, 1/3, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 2/3, 1, 2/3, 0, 0}, {0, 2/3, 1/3, 0, 2/3, 0, 0, 2/3, 1/3}, 
   {2/3, 1, 0, 0, 0, 0, 1/3, 0, 2/3}, {0, 0, 1, 1, 1/3, 0, 1/3, 0, 0}, 
   {1/3, 0, 0, 2/3, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 1/4, 1/4, 1/2, 0, 0, 1/2, 0}, 
   {0, 3/4, 0, 1, 1, 0, 0, 0, 0}, {3/4, 0, 3/4, 0, 0, 1/2, 3/4, 1/4, 0}, 
   {1/2, 0, 1/4, 1/4, 0, 0, 1/4, 3/4, 0}, {0, 1/4, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 3/4, 0, 0, 0, 1, 1/2, 0, 1/2}, {1/4, 0, 0, 0, 0, 3/4, 0, 0, 1}, 
   {0, 1, 0, 1/4, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1/4, 0, 1/2, 0, 3/4}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 1, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 1/2}, {1, 0, 1/2, 0, 1, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 2/3, 1/3, 0, 0}, {2/3, 1/3, 0, 0, 0, 0, 1/3, 2/3, 0}, 
   {0, 0, 1/3, 0, 1/3, 0, 0, 1/3, 1/3}, {0, 0, 1, 0, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 1/3, 0, 2/3, 1, 0, 0, 0, 0}, {1, 0, 1/3, 0, 0, 0, 1/3, 0, 2/3}, 
   {0, 1/3, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1/3, 0, 1, 1/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}, {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 1, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 0, 1}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/5, 1, 2/5, 0, 0, 1, 3/5, 0}, 
   {1, 4/5, 0, 0, 2/5, 0, 0, 0, 3/5}, {1, 4/5, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 4/5, 0, 2/5, 0, 0, 2/5, 2/5}, {4/5, 0, 0, 4/5, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/5, 2/5, 4/5, 0, 2/5}, {0, 1/5, 1, 0, 0, 0, 0, 0, 3/5}, 
   {1/5, 0, 0, 0, 4/5, 4/5, 1/5, 1, 0}, {1/5, 4/5, 0, 0, 0, 2/5, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 1/2, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 1, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1, 1, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/3, 1/3, 1/3, 0, 2/3}, {1/3, 1, 0, 1/3, 0, 0, 0, 1/3, 0}, 
   {1/3, 0, 1/3, 0, 1/3, 0, 0, 0, 1}, {0, 1, 1/3, 0, 1/3, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1/3, 1/3, 0, 1, 1/3}, {2/3, 0, 2/3, 1/3, 0, 0, 1, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 1/3, 1/3, 2/3, 0}, {0, 1, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 1, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {1, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1/2, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 1, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1}, {0, 0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 
    1/2}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1/2, 1, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 2/3, 0, 1/3, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 0, 2/3}, {1, 0, 0, 0, 0, 0, 0, 1, 2/3}, 
   {0, 1/3, 1, 2/3, 0, 0, 1/3, 0, 1/3}, {1/3, 2/3, 0, 2/3, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/4, 1/4, 1/4, 0, 1/2, 1/4, 1/4, 0, 1/4}, 
   {1/2, 3/4, 0, 0, 0, 3/4, 1/2, 0, 0}, {0, 0, 3/4, 1/2, 1, 0, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/4, 0, 1/2, 0, 1/4, 0, 1/4, 0}, 
   {0, 0, 1/2, 0, 1/4, 0, 1/2, 0, 0}, {1/4, 0, 3/4, 3/4, 0, 1/2, 0, 0, 1/4}, 
   {0, 0, 1/2, 0, 0, 3/4, 0, 3/4, 1/2}, {1/2, 1/2, 0, 1/2, 1, 0, 1/4, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 1, 0, 0, 1, 1/2, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 1}, {1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 4/9, 2/3, 0, 0, 0, 0, 0}, {0, 2/9, 0, 2/9, 0, 0, 4/9, 4/9, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, {1/3, 2/3, 0, 0, 2/3, 5/9, 0, 0, 0}, 
   {1, 0, 2/9, 0, 0, 1/3, 2/3, 0, 2/9}, {0, 1/3, 5/9, 1/3, 1, 0, 0, 0, 0}, 
   {0, 1/3, 1, 0, 0, 1, 0, 0, 4/9}, {0, 7/9, 5/9, 4/9, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/3, 1/3, 0, 2/3, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 1, 0, 1, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 1/2, 1, 0, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 1/3, 0, 0, 2/3, 0, 1}, {2/3, 0, 0, 1/3, 1, 1, 1/3, 0}, 
   {0, 0, 1, 0, 2/3, 0, 0, 1/3}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 2/3, 0, 1/3, 1, 0}, {0, 2/3, 0, 1/3, 1/3, 2/3, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, {1, 2/3, 0, 0, 2/3, 0, 0, 1/3, 1/3}, 
   {0, 1/3, 1, 2/3, 0, 0, 1/3, 0, 0}, {1/3, 0, 2/3, 2/3, 0, 2/3, 0, 1/3, 
    1/3}, {0, 1/3, 1/3, 0, 0, 2/3, 0, 1/3, 1/3}, {1/3, 0, 0, 0, 0, 2/3, 1/3, 
    0, 0}, {1/3, 0, 2/3, 0, 0, 0, 1/3, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1, 0, 1/3, 1}, {0, 2/3, 0, 1/3, 0, 1, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 2/3, 0, 1, 0, 0, 1, 1/3}, {0, 0, 1/3, 2/3, 1, 1/3, 0, 0}, 
   {0, 0, 1/3, 0, 1/3, 1, 2/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/4, 1, 0, 1/4, 3/4, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1/4, 0, 0}, 
   {0, 0, 1/4, 0, 0, 0, 0, 0, 1}, {0, 3/4, 0, 1/2, 1, 0, 1/2, 1/4, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1/4, 1, 0, 3/4, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 3/4, 1, 0}, {3/4, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 3/4, 1/2, 0, 1/4, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 1/3, 2/3, 0, 0, 0, 1, 2/3}, 
   {2/3, 0, 1, 2/3, 0, 0, 0, 1/3, 0}, {1, 1/3, 0, 0, 0, 0, 1/3, 0, 1}, 
   {0, 2/3, 1, 0, 0, 0, 1, 0, 1/3}, {1/3, 1/3, 0, 0, 0, 2/3, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1/2, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 2/3, 1, 1, 0, 0, 0, 0, 0}, {1/3, 1, 0, 0, 1/3, 1/3, 0, 2/3, 2/3}, 
   {0, 0, 1, 1/3, 0, 0, 2/3, 0, 2/3}, {1/3, 1, 0, 1/3, 0, 2/3, 2/3, 0, 0}, 
   {1, 1, 0, 1/3, 0, 0, 2/3, 0, 0}, {0, 0, 1, 0, 1/3, 1, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {1/3, 0, 1, 1/3, 1, 0, 2/3, 2/3, 0}, {2/3, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/3, 0, 0, 0, 1, 2/3, 0, 2/3}, {0, 1/3, 2/3, 1, 1/3, 0, 0, 0, 2/3}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1/3, 0, 1, 0, 0, 1, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 1, 0, 1/2, 0, 0}, {1/2, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1/2, 0, 1, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 1/2, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1}, {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, {2/3, 0, 0, 1, 0, 0, 0, 2/3, 1/3}, 
   {0, 0, 2/3, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/3, 1, 1, 1/3, 0}, 
   {0, 2/3, 0, 1, 0, 0, 1, 1/3, 0}, {0, 2/3, 2/3, 0, 1/3, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 2/3, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1/2, 1, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 1/2, 1, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {2/3, 0, 0, 2/3, 1, 1/3, 0, 1/3}, 
   {0, 2/3, 0, 0, 1/3, 0, 1/3, 0}, {0, 0, 1/3, 1, 0, 1, 0, 1/3}, 
   {0, 0, 2/3, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 1, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 1, 0}, {1, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 1/2}, {1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1/2, 1, 0, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 1, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 1, 0, 0, 1/3, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 2/3, 0, 1/3, 1, 1/3, 0, 1/3}, {1, 0, 1, 0, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 1/3, 0, 1/3, 0, 1, 2/3}, {2/3, 0, 0, 2/3, 0, 2/3, 0, 0, 1/3}, 
   {0, 1, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 1, 0, 0, 1/3, 0, 2/3, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, 
   {1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 1/3, 0, 0, 1, 0}, {0, 0, 2/3, 2/3, 1/3, 0, 0, 1/3, 0}, 
   {2/3, 0, 0, 1, 0, 1/3, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1/3, 0, 1}, 
   {0, 0, 0, 1/3, 0, 1/3, 0, 1, 2/3}, {0, 2/3, 0, 1/3, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 2/3, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/5, 0, 1, 4/5, 0, 0}, 
   {2/5, 0, 0, 0, 0, 0, 4/5, 0, 1}, {0, 3/5, 1, 0, 0, 0, 0, 2/5, 0}, 
   {0, 2/5, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1/5, 0, 1}, 
   {3/5, 0, 1/5, 0, 3/5, 0, 2/5, 0, 2/5}, {1, 0, 0, 1/5, 0, 0, 1/5, 1, 0}, 
   {0, 1/5, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 3/5, 2/5, 0, 2/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 1, 1/2, 0, 0, 0, 1/2}, 
   {1, 1, 0, 0, 0, 1/2, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1, 1, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 1/2, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1/2, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 1}, {1/2, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, {1, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1/2, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1/2, 0, 0}, {1, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1, 
    0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 1}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 1, 0, 1/2, 1, 1, 0}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 0, 1, 0, 0, 2/3}, {1/3, 1, 0, 0, 0, 0, 0, 1/3, 0}, 
   {0, 0, 1/3, 0, 1/3, 2/3, 0, 2/3, 0}, {0, 2/3, 0, 1/3, 0, 1, 0, 1/3, 0}, 
   {2/3, 0, 1, 2/3, 1, 0, 0, 0, 0}, {2/3, 0, 1, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1, 1, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 1, 0, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/3, 2/3, 1/3, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 0, 1, 2/3, 0}, {1/3, 0, 1, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 0, 1, 1, 1/3, 0, 0}, {1, 1/3, 0, 0, 0, 0, 0, 1/3, 0}, 
   {0, 1/3, 0, 0, 1/3, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1/3, 0, 0, 1}, 
   {0, 0, 1, 2/3, 0, 0, 2/3, 1/3, 0}, {0, 0, 1, 2/3, 2/3, 0, 0, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 0, 1/2}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 1/3, 1, 0, 0, 0, 1/3}, {0, 0, 0, 0, 0, 1/3, 1, 1/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 2/3, 2/3, 0, 2/3, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {2/3, 0, 0, 1/3, 1, 0, 1/3, 1, 0}, {0, 0, 2/3, 0, 0, 1/3, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 1, 0, 0, 1, 0, 0, 0}, {2/3, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 1, 0, 0, 0, 1/3, 2/3, 0, 2/3}, {1, 0, 1, 1/3, 1, 0, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 0, 2/3, 1/3, 1/3, 1/3, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 1, 1, 1/2, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 1/2, 0, 1, 1, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 3/5, 0, 0, 3/5, 0, 2/5, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 3/5, 1, 0, 0, 0, 4/5}, {0, 0, 1, 3/5, 1, 0, 0, 0, 2/5}, 
   {1/5, 1/5, 0, 0, 0, 1/5, 4/5, 4/5, 0}, {1/5, 1, 0, 0, 0, 1, 2/5, 0, 0}, 
   {4/5, 0, 0, 2/5, 0, 2/5, 0, 0, 4/5}, {0, 0, 0, 4/5, 4/5, 0, 2/5, 0, 0}, 
   {2/5, 2/5, 0, 0, 0, 0, 0, 2/5, 2/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1, 0, 1}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, 
   {1, 1, 0, 1/2, 0, 0, 1, 1, 0}, {0, 0, 1, 1/2, 0, 0, 0, 0, 1}, 
   {1, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {1, 1, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1, 1/2, 1/2, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 1, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1, 0}, {1/2, 1, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1/2, 1, 0, 0}, {0, 0, 0, 0, 1, 1/2, 1, 0, 1}, 
   {1/2, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 1, 0, 0, 1, 0}, {0, 1/2, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 1, 1/2, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1, 0}, {0, 1, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1/2, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 1}, 
   {0, 1/2, 0, 1, 0, 1, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1, 1, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 1/3, 1, 0, 1, 1/3, 0}, {1, 1/3, 0, 0, 0, 1, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 1, 0, 0, 1/3}, {0, 0, 2/3, 0, 1/3, 1, 1/3, 1/3, 0}, 
   {1/3, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1/3, 1, 0, 0, 1, 1/3, 0, 0}, 
   {0, 0, 0, 2/3, 1/3, 0, 0, 2/3, 0}, {0, 1/3, 0, 2/3, 0, 0, 0, 1/3, 0}, 
   {1/3, 2/3, 0, 0, 0, 0, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 0, 1/3, 0, 1/3}, 
   {1/3, 0, 1/3, 0, 2/3, 0, 0, 1/3, 0}, {2/3, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 2/3, 1, 0}, {1, 0, 1/3, 0, 0, 2/3, 1/3, 0, 1/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 2/3, 0, 2/3}, {2/3, 0, 2/3, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1, 1/2}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/7, 0, 1, 0, 0, 2/7, 0, 0, 5/7}, 
   {0, 0, 1/7, 6/7, 0, 0, 0, 2/7, 1}, {3/7, 3/7, 0, 0, 2/7, 4/7, 1, 3/7, 0}, 
   {0, 0, 1, 0, 2/7, 0, 3/7, 5/7, 0}, {0, 0, 3/7, 4/7, 2/7, 0, 3/7, 5/7, 0}, 
   {1/7, 3/7, 0, 0, 4/7, 6/7, 0, 0, 1}, {0, 0, 0, 4/7, 0, 0, 4/7, 0, 0}, 
   {0, 0, 0, 4/7, 2/7, 4/7, 0, 0, 0}, {4/7, 4/7, 0, 0, 2/7, 0, 0, 4/7, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/5, 0, 0, 4/5, 4/5, 4/5, 0, 1/5}, 
   {4/5, 1, 0, 0, 0, 0, 0, 0, 1}, {1/5, 0, 1, 0, 0, 0, 3/5, 1, 0}, 
   {1/5, 0, 3/5, 0, 0, 2/5, 2/5, 0, 3/5}, {1/5, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {4/5, 1, 0, 4/5, 0, 0, 1, 1, 0}, {2/5, 2/5, 0, 2/5, 2/5, 0, 0, 0, 0}, 
   {0, 0, 0, 4/5, 2/5, 0, 2/5, 0, 0}, {0, 2/5, 0, 0, 0, 0, 0, 4/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 2/3, 0, 1/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 0, 1/3, 0}, {0, 0, 0, 0, 2/3, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 2/3, 1, 0, 0, 0}, {2/3, 1/3, 0, 1, 0, 0, 2/3, 0, 0}, 
   {0, 0, 1/3, 1, 0, 0, 0, 2/3, 2/3}, {1, 1, 0, 0, 1, 1, 0, 2/3, 0}, 
   {0, 0, 1, 2/3, 0, 2/3, 1/3, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/3, 0, 1/3, 1/3, 1, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 0, 1/3}, {2/3, 0, 0, 0, 2/3, 1/3, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 1/3, 0, 2/3}, {0, 0, 1/3, 0, 1/3, 1/3, 0, 1}, 
   {0, 0, 2/3, 1, 0, 0, 1/3, 0}, {0, 2/3, 0, 1/3, 0, 0, 1/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 1, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, {1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 2/3, 2/3, 0, 1/3, 1/3, 1/3, 0}, {0, 0, 0, 0, 1, 1, 1/3, 0}, 
   {2/3, 0, 1/3, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 2/3, 0, 0, 1/3, 0, 2/3, 1/3}, {0, 0, 2/3, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1, 1, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {1/2, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 1, 1/3, 0, 2/3, 0, 0}, {0, 1/3, 0, 2/3, 1, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 1/3, 2/3, 0, 0, 2/3}, {1/3, 0, 1/3, 1/3, 0, 0, 2/3, 2/3}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 7/9, 1, 0, 0, 1/3, 0, 0, 0}, {1/3, 0, 0, 7/9, 7/9, 0, 0, 2/9, 0}, 
   {2/3, 0, 2/9, 0, 0, 2/9, 2/9, 2/9, 0}, {8/9, 2/9, 0, 0, 0, 2/3, 0, 0, 
    2/9}, {0, 2/9, 0, 2/9, 8/9, 0, 2/3, 0, 0}, {1/9, 0, 2/9, 2/3, 0, 5/9, 0, 
    0, 2/9}, {7/9, 2/9, 0, 0, 0, 1, 2/9, 0, 0}, {0, 5/9, 1/3, 1/9, 1/9, 0, 0, 
    2/3, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/3, 0, 1/3, 1, 0}, {2/3, 0, 1/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 1/3, 0, 1/3, 1/3, 0, 0, 0, 1/3}, {1/3, 0, 0, 0, 1/3, 0, 0, 1/3, 1/3}, 
   {2/3, 0, 1/3, 0, 0, 1/3, 0, 2/3, 0}, {0, 2/3, 1/3, 0, 0, 1/3, 1/3, 0, 
    1/3}, {0, 0, 0, 2/3, 1/3, 0, 2/3, 0, 2/3}, {0, 1, 1/3, 1/3, 0, 2/3, 0, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 2/3, 0, 0, 0, 1/3}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {1/3, 0, 0, 0, 2/3, 0, 2/3, 1/3}, 
   {1, 0, 0, 0, 0, 0, 0, 1/3}, {0, 1/3, 2/3, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 1, 0, 0}, {1, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 3/4, 1/2, 0}, 
   {1/4, 0, 1/4, 0, 0, 0, 0, 1/4, 1}, {1/4, 0, 0, 1/4, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 3/4, 0, 0, 1/2, 0, 1/4, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/4, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1, 3/4, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 1/3, 0, 0, 0, 0, 2/3, 1/3, 0}, 
   {0, 2/3, 0, 0, 0, 1/3, 2/3, 0, 0}, {0, 0, 2/3, 0, 1, 0, 0, 0, 1/3}, 
   {1/3, 2/3, 0, 0, 1/3, 0, 0, 1, 0}, {0, 0, 1/3, 2/3, 0, 2/3, 0, 0, 2/3}, 
   {0, 2/3, 0, 1/3, 1/3, 0, 0, 2/3, 0}, {2/3, 0, 0, 1/3, 0, 1/3, 0, 2/3, 
    2/3}, {1/3, 1/3, 0, 0, 2/3, 0, 2/3, 0, 1}, {2/3, 0, 1, 0, 0, 0, 1/3, 1/3, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1}, {0, 0, 1/2, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/3, 1/3, 0, 1, 0, 0, 2/3}, 
   {1/3, 0, 0, 1, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 1/3, 0, 1, 0, 2/3, 0, 2/3}, 
   {1/3, 0, 1/3, 0, 1, 2/3, 2/3, 0}, {0, 1, 0, 1, 2/3, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1/3, 1, 0, 1/3, 0, 1}, {0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 1, 1/3, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {2/3, 2/3, 0, 1/3, 1, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 0, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 1, 0}, {0, 0, 2/3, 1, 0, 2/3, 1/3, 0}, 
   {0, 0, 1, 0, 1/3, 1/3, 0, 1}, {2/3, 0, 0, 1, 0, 1, 0, 1/3}, 
   {0, 0, 1/3, 0, 1, 2/3, 1, 0}, {0, 0, 2/3, 1, 0, 1/3, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 2/3, 0, 1/3, 0, 0, 1/3, 1/3}, 
   {0, 0, 0, 0, 0, 1/3, 2/3, 0, 2/3}, {0, 0, 0, 0, 1/3, 2/3, 1/3, 0, 0}, 
   {1/3, 0, 0, 0, 0, 2/3, 1/3, 0, 0}, {0, 2/3, 0, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 1/3, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 1/3, 0, 1, 1/3}, 
   {0, 0, 0, 1, 1, 0, 1/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, {1, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 2/3, 0, 0, 0, 1/3, 0, 0}, {0, 0, 0, 2/3, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 0, 0, 1/3, 0, 2/3}, {1/3, 0, 1/3, 0, 1/3, 1, 0, 2/3, 0}, 
   {0, 1/3, 2/3, 1/3, 1/3, 2/3, 0, 0, 0}, {2/3, 1, 0, 1, 1, 0, 1/3, 0, 0}, 
   {1/3, 1, 0, 0, 0, 1, 1/3, 0, 0}, {0, 2/3, 1/3, 0, 1/3, 1/3, 0, 1/3, 1/3}, 
   {1/3, 0, 1, 2/3, 1/3, 0, 0, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/5, 0, 0, 0, 2/5, 0, 0, 3/5, 1}, {0, 3/5, 3/5, 2/5, 0, 0, 1/5, 0, 0}, 
   {0, 2/5, 2/5, 0, 4/5, 4/5, 0, 0, 0}, {4/5, 0, 2/5, 2/5, 0, 0, 0, 0, 0}, 
   {2/5, 0, 0, 0, 2/5, 0, 2/5, 2/5, 0}, {1/5, 2/5, 0, 2/5, 0, 2/5, 1/5, 0, 
    0}, {3/5, 0, 0, 0, 2/5, 2/5, 3/5, 0, 0}, {0, 1, 3/5, 4/5, 0, 0, 0, 1/5, 
    3/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 0, 1, 1/2, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1, 0, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {1, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1/2, 1, 0, 1/2, 1/2}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 1, 0, 1/2, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 1, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1/2, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1, 0, 1/3, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 1/3, 1/3, 0, 2/3}, 
   {0, 0, 1/3, 2/3, 0, 0, 1/3, 0, 1/3}, {2/3, 0, 0, 0, 1/3, 0, 0, 1/3, 1/3}, 
   {1, 0, 0, 0, 1/3, 1/3, 0, 1/3, 0}, {0, 0, 1/3, 2/3, 0, 1/3, 1/3, 0, 2/3}, 
   {1/3, 1/3, 0, 0, 2/3, 1/3, 0, 0, 0}, {1/3, 0, 0, 0, 1, 2/3, 1/3, 0, 1/3}, 
   {0, 1/3, 0, 0, 0, 0, 1/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 0, 4/5, 0, 2/5, 0, 0}, {2/5, 0, 0, 0, 0, 0, 0, 2/5}, 
   {0, 1/5, 3/5, 2/5, 3/5, 0, 0, 0}, {1/5, 0, 2/5, 3/5, 0, 4/5, 2/5, 0}, 
   {0, 3/5, 3/5, 0, 3/5, 0, 0, 0}, {1/5, 0, 1/5, 2/5, 3/5, 0, 0, 0}, 
   {1/5, 0, 1/5, 0, 3/5, 2/5, 2/5, 0}, {0, 1/5, 0, 3/5, 0, 0, 2/5, 4/5}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 1, 0, 1, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1, 1/2, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 1, 1/2, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{3/5, 3/5, 0, 0, 3/5, 0, 4/5, 2/5, 0}, 
   {2/5, 0, 1, 1, 0, 1/5, 2/5, 0, 0}, {1, 1, 0, 0, 1, 4/5, 0, 0, 0}, 
   {0, 2/5, 0, 0, 0, 0, 0, 2/5, 2/5}, {2/5, 4/5, 0, 0, 0, 2/5, 0, 0, 0}, 
   {0, 0, 0, 0, 4/5, 2/5, 0, 0, 2/5}, {1/5, 1/5, 0, 1, 0, 1/5, 0, 0, 2/5}, 
   {0, 0, 1, 0, 1/5, 2/5, 0, 0, 0}, {0, 0, 1, 0, 1/5, 0, 0, 2/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 1/2}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/5, 0, 2/5, 1/5, 0, 3/10, 4/5}, 
   {3/10, 0, 9/10, 4/5, 7/10, 0, 0, 0, 0}, {1/10, 2/5, 0, 1/10, 0, 1/10, 0, 
    2/5, 9/10}, {1/5, 7/10, 0, 1/10, 2/5, 0, 0, 0, 1/5}, 
   {3/10, 7/10, 0, 0, 3/10, 0, 1/10, 0, 1/10}, {0, 0, 0, 0, 0, 4/5, 3/5, 
    3/10, 0}, {0, 3/10, 1/10, 1/5, 0, 3/10, 1/2, 1/5, 0}, 
   {3/10, 0, 3/5, 2/5, 0, 3/10, 0, 0, 3/10}, {3/10, 1/5, 0, 0, 1/10, 0, 9/10, 
    1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 0, 0, 1/2, 1/2}, {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, {0, 0, 1, 0, 0, 1, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1, 1, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 1, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 1}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {1, 1, 0, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1/2, 1, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0}, {1/2, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1, 0, 0, 0, 1, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1, 1, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, {1/2, 1, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 1, 0, 1/2}, {0, 1/2, 1, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1, 1, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1/2, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 1, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1/3, 0, 2/3, 0, 0, 1/3}, 
   {2/3, 0, 1, 1/3, 2/3, 0, 1/3, 2/3, 0}, {1/3, 0, 2/3, 0, 0, 0, 1/3, 0, 
    2/3}, {1/3, 0, 2/3, 1/3, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 1/3, 1/3, 0, 1, 
    1/3, 0}, {0, 0, 0, 1/3, 1/3, 1/3, 1/3, 1/3, 0}, 
   {2/3, 0, 1/3, 0, 0, 1/3, 0, 0, 1/3}, {1/3, 1/3, 0, 0, 1/3, 0, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 1, 0, 1/2, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 1, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 1, 1/2, 0}, {1/2, 0, 1, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 3/7, 0, 1/7, 0, 0, 2/7, 0, 0}, {0, 0, 1/7, 0, 1/7, 5/7, 0, 2/7, 0}, 
   {0, 0, 3/7, 5/7, 2/7, 0, 2/7, 0, 2/7}, {0, 0, 5/7, 5/7, 4/7, 0, 0, 0, 0}, 
   {5/7, 1/7, 0, 0, 5/7, 5/7, 0, 0, 0}, {0, 0, 0, 4/7, 0, 2/7, 2/7, 2/7, 
    2/7}, {0, 4/7, 6/7, 0, 2/7, 0, 2/7, 0, 2/7}, {2/7, 2/7, 0, 6/7, 0, 0, 0, 
    4/7, 2/7}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1, 0, 1, 1/2}, {0, 1, 1, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{5/7, 6/7, 0, 0, 1/7, 4/7, 5/7, 0, 0}, 
   {2/7, 0, 0, 5/7, 0, 0, 0, 1/7, 4/7}, {0, 4/7, 4/7, 5/7, 3/7, 0, 2/7, 0, 
    0}, {0, 2/7, 2/7, 0, 5/7, 5/7, 0, 5/7, 2/7}, 
   {1, 3/7, 0, 4/7, 3/7, 0, 4/7, 3/7, 0}, {1/7, 0, 6/7, 1/7, 0, 6/7, 4/7, 0, 
    0}, {0, 0, 3/7, 0, 6/7, 0, 0, 0, 0}, {3/7, 6/7, 0, 0, 0, 3/7, 0, 0, 3/7}, 
   {0, 0, 3/7, 0, 3/7, 0, 0, 3/7, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 2/3, 0, 1/3, 0, 0, 1/3, 0}, {0, 0, 1, 0, 1/3, 1/3, 0, 1}, 
   {0, 2/3, 0, 1/3, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {2/3, 0, 0, 1, 0, 1/3, 0, 1/3}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1, 1, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/6, 1/6, 0, 0, 1/3, 1, 0, 1/2, 0}, 
   {1/6, 1/6, 5/6, 0, 0, 1/6, 0, 0, 0}, {0, 1/3, 1, 0, 0, 0, 1/6, 0, 1/3}, 
   {0, 0, 1/3, 0, 1/6, 5/6, 0, 5/6, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/3, 1/6, 0, 1/6, 0, 1/3, 1/6, 1/3, 0}, {0, 1/6, 0, 5/6, 2/3, 0, 0, 0, 
    0}, {0, 0, 0, 5/6, 2/3, 1/6, 0, 0, 0}, {1/6, 1/6, 0, 0, 1/6, 0, 2/3, 0, 
    5/6}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}, 
   {1, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1/2, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, {1, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 1, 0, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1, 1, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{3/4, 0, 1/2, 1/4, 3/4, 0, 0, 0, 1/4}, {0, 1, 0, 1/2, 0, 1/4, 3/4, 3/4, 
    0}, {3/4, 0, 3/4, 0, 0, 0, 0, 0, 1}, {0, 3/4, 0, 0, 0, 1/2, 0, 0, 1/4}, 
   {0, 0, 0, 1/2, 1/4, 0, 1/2, 1/2, 0}, {0, 0, 1/4, 1/2, 0, 0, 3/4, 1/4, 0}, 
   {1/4, 0, 0, 1/4, 3/4, 3/4, 0, 0, 0}, {1, 0, 3/4, 0, 0, 3/4, 1/4, 3/4, 0}, 
   {0, 3/4, 0, 1/4, 1/4, 0, 0, 0, 3/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1/2, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 0, 1, 1, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, {1, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 1, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 1, 0, 1/2, 0, 0, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{4/5, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 4/5, 0, 0, 4/5, 0, 0}, {0, 2/5, 3/5, 0, 2/5, 2/5, 0, 0, 3/5}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 4/5, 1, 0, 0, 4/5, 0, 0, 1/5}, 
   {0, 2/5, 1/5, 0, 0, 0, 1/5, 1, 4/5}, {1, 1/5, 0, 2/5, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 4/5, 0, 3/5, 3/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 2/3, 1/3, 1/3, 2/3, 0, 0, 0, 2/3}, {0, 0, 1, 1/3, 0, 0, 2/3, 2/3, 0}, 
   {1/3, 1, 0, 0, 1/3, 1/3, 0, 2/3, 2/3}, {2/3, 0, 1, 0, 1/3, 1/3, 0, 0, 
    2/3}, {1/3, 1/3, 0, 1/3, 0, 2/3, 2/3, 0, 0}, {1/3, 1, 0, 1/3, 0, 0, 2/3, 
    2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 4/5, 0, 4/5, 0, 0, 0, 2/5}, {0, 0, 0, 2/5, 0, 0, 4/5, 0, 0}, 
   {0, 0, 2/5, 3/5, 0, 1, 0, 0, 1}, {0, 4/5, 0, 0, 1, 0, 1/5, 1, 0}, 
   {0, 2/5, 0, 1/5, 0, 3/5, 0, 2/5, 1}, {4/5, 0, 0, 2/5, 1, 0, 0, 0, 1}, 
   {2/5, 2/5, 0, 0, 3/5, 0, 2/5, 0, 1}, {0, 0, 0, 3/5, 0, 1, 1/5, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 1, 0, 1/2, 1, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1/2, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 0, 0, 1/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 1/3, 0, 1/3}, 
   {1/3, 0, 0, 0, 2/3, 0, 1/3, 2/3, 0}, {0, 1/3, 1/3, 0, 1/3, 0, 0, 1/3, 
    2/3}, {0, 0, 2/3, 1/3, 1/3, 0, 0, 0, 1}, {0, 0, 0, 2/3, 0, 1, 2/3, 1, 0}, 
   {2/3, 0, 1/3, 0, 0, 1/3, 1/3, 0, 1/3}, {2/3, 0, 0, 1/3, 0, 2/3, 0, 0, 
    2/3}, {0, 0, 0, 1/3, 1, 0, 2/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}, {0, 1, 0, 1, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1, 1}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1, 0, 2/3, 0, 0, 1, 1/3, 0}, {0, 0, 1, 0, 2/3, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 1/3, 0, 2/3, 2/3, 1, 1, 0}, 
   {0, 0, 1, 0, 2/3, 0, 1, 1, 0}, {1/3, 1, 0, 2/3, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 1/2, 1/2, 0, 0, 0, 0, 0, 1/6}, 
   {0, 1/3, 1/3, 1/6, 0, 0, 1/2, 0, 5/6}, {5/6, 1/2, 0, 2/3, 0, 1/2, 0, 1/3, 
    0}, {0, 1/6, 1/6, 0, 2/3, 1/6, 0, 0, 1/6}, {0, 1/3, 5/6, 1/6, 0, 1/6, 0, 
    1/3, 0}, {0, 0, 0, 0, 2/3, 0, 1/6, 0, 1/2}, {1/2, 1/6, 1/6, 1/6, 0, 1/3, 
    0, 1/6, 0}, {2/3, 0, 0, 1/2, 0, 2/3, 1/6, 0, 1/6}, 
   {0, 0, 0, 0, 1/6, 0, 1/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1/2, 0, 1/2, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, 
   {1/3, 0, 1/3, 2/3, 1/3, 0, 2/3, 0}, {0, 1, 0, 1, 0, 2/3, 0, 0}, 
   {1/3, 0, 1/3, 0, 1, 0, 0, 2/3}, {0, 1/3, 1/3, 0, 1, 0, 2/3, 0}, 
   {1/3, 0, 0, 1/3, 2/3, 0, 2/3, 0}, {1, 0, 0, 1, 0, 0, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1/3, 0, 1, 0, 2/3, 1}, 
   {2/3, 2/3, 0, 2/3, 1/3, 0, 1/3, 1/3, 0}, {2/3, 0, 2/3, 0, 1, 0, 1/3, 1/3, 
    0}, {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 2/3, 0, 0, 1, 0, 0, 0, 1/3}, 
   {0, 0, 2/3, 1, 0, 1, 1, 1/3, 0}, {2/3, 2/3, 0, 0, 1/3, 0, 0, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 0, 0, 1, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 2/5, 4/5}, {2/5, 4/5, 0, 0, 2/5, 0, 0, 0, 0}, 
   {0, 1/5, 1, 1/5, 0, 0, 4/5, 2/5, 0}, {1, 4/5, 0, 0, 1/5, 3/5, 0, 0, 2/5}, 
   {2/5, 1/5, 1, 1/5, 2/5, 0, 2/5, 0, 0}, {0, 1/5, 1, 0, 1/5, 1/5, 0, 0, 
    2/5}, {3/5, 0, 0, 3/5, 0, 0, 4/5, 2/5, 0}, {1/5, 0, 4/5, 1/5, 0, 2/5, 0, 
    0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/7, 0, 1, 0, 1, 0, 3/7}, {6/7, 0, 0, 3/7, 0, 1/7, 0, 1/7, 0}, 
   {0, 6/7, 6/7, 4/7, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 6/7, 6/7, 0, 4/7, 0}, 
   {0, 2/7, 0, 0, 6/7, 0, 0, 4/7, 6/7}, {0, 0, 0, 3/7, 0, 1, 1/7, 0, 1/7}, 
   {0, 4/7, 6/7, 0, 1/7, 0, 0, 1, 4/7}, {6/7, 0, 0, 4/7, 1/7, 0, 6/7, 1/7, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 0, 0, 3/4, 0, 0, 1/4, 0}, 
   {1/2, 0, 3/4, 1/4, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/4, 1/4}, 
   {1/2, 1, 0, 3/4, 0, 1, 0, 0, 0}, {0, 0, 3/4, 0, 1/4, 1/4, 0, 3/4, 1}, 
   {1/4, 0, 1, 3/4, 1, 0, 0, 0, 0}, {3/4, 1, 0, 1/4, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/4, 3/4, 0, 1/2, 1/4, 0, 1/4}, {0, 0, 1/4, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1, 1}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 1, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1/2, 1/2, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 1/2, 1/2, 0, 1/2, 1}, {0, 0, 1/2, 1, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1, 1, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1/2, 0, 1/2, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 4/7, 6/7}, {0, 2/7, 0, 6/7, 4/7, 0, 0, 0, 0}, 
   {0, 0, 2/7, 2/7, 0, 0, 0, 2/7, 6/7}, {6/7, 0, 6/7, 0, 0, 1/7, 0, 5/7, 0}, 
   {4/7, 2/7, 0, 3/7, 3/7, 0, 1, 0, 1}, {0, 0, 0, 0, 2/7, 1, 6/7, 3/7, 0}, 
   {0, 0, 4/7, 0, 0, 3/7, 1, 0, 1/7}, {0, 6/7, 0, 0, 0, 1, 1/7, 0, 1/7}, 
   {0, 6/7, 0, 1/7, 1/7, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/2, 0, 1, 0}, {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1/3, 0, 0, 1/3, 0}, {0, 0, 1/3, 0, 2/3, 1, 0, 1/3}, 
   {2/3, 0, 0, 2/3, 0, 1/3, 0, 0}, {0, 0, 1/3, 0, 1/3, 0, 1, 1/3}, 
   {1/3, 0, 1/3, 1/3, 0, 0, 1/3, 0}, {0, 2/3, 0, 0, 1/3, 2/3, 0, 1/3}, 
   {2/3, 1/3, 1/3, 0, 0, 0, 0, 0}, {2/3, 0, 0, 0, 1/3, 0, 2/3, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 1, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 0}, {2/3, 1, 0, 0, 0, 1/3, 0, 1, 0}, 
   {0, 0, 1/3, 2/3, 0, 0, 1/3, 0, 1}, {0, 0, 1, 1/3, 0, 0, 2/3, 1, 0}, 
   {1/3, 0, 1/3, 0, 0, 2/3, 0, 1, 2/3}, {0, 1/3, 0, 0, 2/3, 2/3, 1/3, 0, 1}, 
   {1/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 1/3, 2/3, 0, 1/3, 0, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 2/3, 0}, 
   {0, 0, 1/3, 0, 0, 0, 0, 1/3, 1}, {0, 1/3, 0, 2/3, 0, 0, 1/3, 0, 0}, 
   {1/3, 0, 2/3, 1/3, 1/3, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 2/3, 0, 0, 1/3, 1}, 
   {1/3, 0, 1/3, 0, 2/3, 2/3, 1/3, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 0, 0, 1, 0, 0, 2/5, 2/5}, {2/5, 1, 0, 2/5, 1, 0, 0, 0, 0}, 
   {1/5, 0, 1, 1/5, 0, 1/5, 0, 4/5, 0}, {3/5, 0, 1, 0, 1/5, 0, 0, 0, 0}, 
   {4/5, 1/5, 0, 1, 0, 1, 0, 0, 0}, {0, 1/5, 0, 3/5, 0, 1, 2/5, 0, 4/5}, 
   {0, 0, 0, 0, 0, 0, 4/5, 0, 4/5}, {2/5, 4/5, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 4/5, 0, 0, 0, 0, 2/5, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 1, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 0, 1, 1, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, {1/2, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 1, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1/2, 1, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 1, 0, 1, 0, 1, 0}, {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1/2, 0, 1/2}, 
   {1/2, 1, 1, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 0, 1, 0, 0, 0}, {0, 0, 1, 1/3, 0, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 0, 0, 0, 0, 1}, {2/3, 1, 0, 0, 1/3, 1/3, 0, 2/3, 0}, 
   {0, 0, 1/3, 0, 0, 2/3, 1, 0, 1}, {2/3, 2/3, 0, 0, 1/3, 0, 1/3, 1, 0}, 
   {0, 1/3, 0, 1/3, 2/3, 0, 2/3, 1/3, 1/3}, {0, 0, 1, 0, 0, 1/3, 0, 1, 0}, 
   {1/3, 1/3, 0, 2/3, 2/3, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 1, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1/2}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {1, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 1, 1/2, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 1, 0, 1/2}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 1, 0, 1/3, 1/3}, {0, 0, 0, 0, 1, 0, 1/3, 1}, 
   {0, 0, 1/3, 1, 0, 1, 0, 0}, {0, 0, 2/3, 0, 1/3, 1, 2/3, 0}, 
   {0, 0, 1/3, 1, 0, 0, 1, 1/3}, {0, 2/3, 0, 2/3, 1, 1/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/5, 0, 0, 0, 0, 1/5, 1/5, 0, 3/5}, 
   {0, 0, 2/5, 1/5, 3/5, 0, 0, 1/5, 0}, {2/5, 2/5, 2/5, 0, 0, 1/5, 0, 1/5, 
    0}, {4/5, 0, 0, 3/5, 1/5, 0, 1/5, 0, 3/5}, {0, 0, 2/5, 2/5, 0, 3/5, 0, 
    3/5, 0}, {2/5, 2/5, 0, 0, 0, 0, 2/5, 4/5, 0}, 
   {0, 0, 0, 2/5, 4/5, 4/5, 0, 0, 0}, {0, 4/5, 4/5, 0, 0, 0, 2/5, 0, 2/5}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1, 0}, {0, 1/2, 0, 0, 1, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 1/3, 1, 0, 2/3, 0}, {1, 0, 0, 1/3, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 2/3, 0, 0}, {1, 0, 2/3, 0, 1, 1/3, 0, 0, 0}, 
   {1/3, 2/3, 2/3, 0, 1/3, 1/3, 0, 0, 2/3}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 
    0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 1, 0}, {1/2, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 1/3, 2/3, 1, 0, 2/3, 0, 0}, {1, 1, 0, 1/3, 0, 1/3, 2/3, 2/3, 0}, 
   {0, 0, 1, 0, 1/3, 0, 0, 0, 2/3}, {0, 0, 1, 1/3, 0, 1, 2/3, 2/3, 0}, 
   {1/3, 1, 0, 2/3, 1/3, 0, 0, 0, 2/3}, {1, 1, 0, 0, 1/3, 0, 0, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/6, 1/2, 1, 0, 0, 0, 1/6, 5/6}, 
   {0, 0, 0, 0, 1, 2/3, 1, 0, 0}, {0, 1/6, 0, 1, 1/6, 0, 0, 2/3, 2/3}, 
   {0, 0, 0, 0, 2/3, 1/6, 0, 1, 1/6}, {1/3, 0, 1/6, 1/6, 0, 1/3, 1/3, 2/3, 
    0}, {1/6, 1/3, 0, 1, 1/3, 0, 1/6, 0, 0}, {0, 1/6, 0, 0, 1/3, 5/6, 0, 0, 
    5/6}, {1/6, 0, 1/3, 5/6, 0, 0, 2/3, 1/2, 0}, 
   {1/3, 0, 0, 5/6, 0, 1/3, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, {1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 1, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 1, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/4, 0, 0, 3/4, 0, 1/4}, {1/4, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1, 0, 0, 0, 1/4, 1, 0, 0, 1/2}, {0, 3/4, 1/2, 0, 0, 0, 0, 1/4, 1/2}, 
   {1/2, 0, 0, 0, 1/4, 1, 1/2, 1/2, 0}, {1/4, 0, 3/4, 0, 3/4, 0, 1/2, 0, 
    1/4}, {0, 1/2, 1/2, 0, 1/4, 1/4, 0, 1/2, 0}, {3/4, 0, 1/4, 1, 0, 0, 0, 0, 
    3/4}, {1/4, 3/4, 0, 1/2, 3/4, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 1, 0, 1}, {1/3, 0, 1/3, 2/3, 0, 0, 0, 1/3, 1/3}, 
   {0, 1/3, 0, 0, 1/3, 1/3, 0, 2/3, 0}, {0, 0, 0, 0, 1/3, 0, 1/3, 2/3, 0}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 1/3, 0, 0, 0, 1/3, 1/3, 1/3, 0}, 
   {0, 0, 0, 0, 1/3, 1, 0, 1/3, 0}, {0, 2/3, 1/3, 1/3, 0, 0, 1/3, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 1, 1}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 1, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 2/3, 0, 1/3, 1}, {0, 1, 0, 2/3, 0, 1/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 2/3, 0, 0}, {1/3, 0, 0, 2/3, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/3, 1/3}, {1/3, 0, 0, 0, 0, 1, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 
    1/2}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/7, 0, 0, 0, 6/7, 0, 2/7, 0, 0}, {3/7, 0, 6/7, 0, 0, 2/7, 0, 0, 4/7}, 
   {1/7, 2/7, 5/7, 0, 1/7, 3/7, 0, 0, 2/7}, {0, 3/7, 0, 1, 0, 6/7, 0, 0, 0}, 
   {1/7, 0, 5/7, 0, 3/7, 1/7, 0, 2/7, 6/7}, {3/7, 3/7, 0, 1/7, 0, 0, 3/7, 
    1/7, 1/7}, {3/7, 1, 0, 0, 1/7, 1/7, 0, 2/7, 0}, 
   {0, 0, 1/7, 3/7, 0, 0, 4/7, 4/7, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 1, 1/3, 0, 1, 0, 0, 0}, {0, 1/3, 0, 0, 1, 0, 0, 2/3, 0}, 
   {1/3, 0, 1/3, 2/3, 1, 0, 2/3, 0, 0}, {2/3, 1, 0, 1, 0, 1/3, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1/3, 0, 1, 1/3, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 2/3, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1/3, 1}, 
   {0, 1/3, 0, 0, 2/3, 1, 2/3, 0}, {0, 1, 2/3, 2/3, 0, 1/3, 0, 0}, 
   {1/3, 0, 0, 2/3, 0, 0, 1/3, 1}, {2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 2/3}, {0, 0, 0, 2/3, 2/3, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, {0, 0, 1, 1/2, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1/3, 0, 0}, {1/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 1/3, 0, 0, 0, 1/3, 0, 1}, {1, 0, 0, 2/3, 1, 0, 0, 0, 0}, 
   {2/3, 1/3, 0, 0, 1, 0, 0, 2/3, 1/3}, {0, 1, 1, 0, 0, 1, 2/3, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 1/3, 0, 0, 0, 1, 1/3, 0, 0}, 
   {1, 0, 0, 1/3, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 1/2}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1/2, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 1, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 1/3, 0, 0, 2/3, 2/3}, 
   {0, 0, 0, 0, 1/3, 1, 2/3, 0, 0}, {0, 0, 1/3, 0, 0, 2/3, 1/3, 0, 0}, 
   {0, 1/3, 0, 1, 0, 0, 0, 2/3, 2/3}, {0, 1/3, 0, 1, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 1/3, 0, 1}, {0, 2/3, 0, 0, 2/3, 1, 0, 1, 0}, 
   {2/3, 1/3, 0, 1, 0, 0, 1/3, 0, 0}, {1/3, 0, 0, 0, 0, 0, 2/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/5, 0, 0, 1, 1/5, 0, 3/5}, 
   {0, 0, 0, 3/5, 1, 0, 0, 1, 0}, {2/5, 2/5, 0, 0, 0, 1, 2/5, 3/5, 0}, 
   {4/5, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1/5, 1, 0, 3/5, 0, 1}, 
   {2/5, 2/5, 0, 2/5, 0, 0, 2/5, 0, 0}, {0, 4/5, 2/5, 0, 0, 2/5, 0, 4/5, 0}, 
   {0, 0, 0, 4/5, 0, 0, 4/5, 0, 2/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 1, 0, 1/2, 1, 0, 1/2, 0, 0}, {1, 0, 1, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 1/2, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 1/2, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 1, 0}, {1, 0, 0, 1/2, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/5, 0, 4/5, 0, 2/5, 0, 0}, 
   {4/5, 0, 0, 2/5, 0, 0, 0, 0, 0}, {0, 2/5, 0, 0, 1/5, 1, 1/5, 3/5, 0}, 
   {0, 0, 0, 1, 0, 4/5, 0, 0, 1/5}, {4/5, 0, 0, 1/5, 0, 0, 0, 4/5, 1/5}, 
   {2/5, 0, 0, 0, 1, 1/5, 4/5, 0, 3/5}, {2/5, 2/5, 2/5, 0, 3/5, 3/5, 0, 0, 
    3/5}, {0, 4/5, 4/5, 1, 0, 0, 1/5, 1/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 2}, {2, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1/2}, {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1/3, 0, 0, 0}, {0, 2/3, 1/3, 0, 1, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 1, 0, 1/3, 0, 0, 1}, {2/3, 0, 1/3, 0, 1, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 1, 2/3, 0, 0, 0}, {0, 1, 0, 0, 0, 2/3, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 2/3, 0, 0, 1/3}, {0, 0, 0, 1, 0, 1/3, 0, 1, 0}, 
   {0, 1/3, 0, 1, 0, 0, 0, 1, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, {0, 1/2, 1, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 0, 1, 0, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/4, 1/4, 3/4, 0, 0, 1/4, 1/4, 1/4, 0}, 
   {1/2, 0, 1, 1/4, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 1/4}, 
   {0, 0, 0, 0, 1, 1/2, 1, 0, 3/4}, {3/4, 3/4, 0, 0, 0, 1/4, 1/4, 1/4, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 3/4, 0, 1/4, 0, 0, 3/4, 0}, 
   {0, 0, 0, 3/4, 0, 1/2, 0, 0, 1/4}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/4}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1}, {0, 1, 0, 1, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 1, 0, 1, 1, 1/2, 0, 0}, 
   {1, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, {1, 1/2, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 0, 1, 1, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 0, 1, 0, 0, 2/3}, 
   {0, 1/3, 0, 1, 0, 0, 2/3, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {1/3, 0, 2/3, 1, 0, 0, 0, 0}, {0, 1/3, 1/3, 0, 1/3, 2/3, 2/3, 0}, 
   {0, 1/3, 0, 1/3, 0, 1, 1/3, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {1, 1/3, 2/3, 0, 0, 1/3, 0, 0, 0}, {1, 1/3, 0, 2/3, 0, 1, 0, 0, 2/3}, 
   {0, 0, 1, 1/3, 1, 0, 0, 0, 0}, {2/3, 2/3, 1/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {1, 1/3, 0, 1/3, 1, 0, 0, 0, 0}, {0, 0, 1, 2/3, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}, {2/3, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1/3, 2/3, 2/3, 0, 0}, {0, 1, 0, 0, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 1/3, 1, 0, 1, 0, 2/3, 0}, {0, 1/3, 0, 1/3, 0, 1/3, 2/3, 0, 2/3}, 
   {2/3, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 1, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/5, 0, 0, 4/5, 2/5, 0, 2/5, 0, 0}, {0, 2/5, 0, 0, 0, 0, 0, 0, 2/5}, 
   {0, 1, 0, 1, 4/5, 0, 2/5, 0, 0}, {0, 1/5, 0, 1/5, 0, 2/5, 0, 4/5, 2/5}, 
   {1, 0, 1, 0, 1/5, 1, 2/5, 0, 0}, {0, 1/5, 0, 1/5, 0, 4/5, 1, 1/5, 1/5}, 
   {3/5, 0, 1, 1/5, 2/5, 0, 0, 2/5, 0}, {0, 3/5, 0, 0, 1/5, 1, 4/5, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 1/2, 1, 0}, {1, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, {1, 0, 0, 1/2, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 4/5, 0, 4/5, 2/5}, 
   {0, 2/5, 4/5, 4/5, 0, 0, 0, 0, 0}, {0, 2/5, 0, 4/5, 0, 0, 4/5, 0, 0}, 
   {0, 0, 0, 0, 1, 1/5, 0, 1/5, 3/5}, {0, 2/5, 4/5, 1/5, 0, 0, 1/5, 2/5, 0}, 
   {2/5, 0, 0, 1/5, 4/5, 0, 1/5, 0, 4/5}, {4/5, 0, 0, 0, 1/5, 1, 1, 0, 0}, 
   {4/5, 2/5, 0, 1, 0, 0, 0, 1, 1/5}, {0, 0, 2/5, 0, 3/5, 3/5, 1, 0, 2/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1/2, 1}, {0, 0, 0, 0, 1, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 1}, {0, 1/2, 0, 1, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1/3, 0, 0, 2/3, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {2/3, 0, 2/3, 0, 1/3, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1/3}, 
   {0, 0, 2/3, 0, 1, 1, 0, 1, 0}, {0, 2/3, 0, 1/3, 0, 0, 1, 0, 1/3}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 2/3, 2/3, 0, 1/3, 0}, {0, 1, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1/3}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/3, 1, 0, 0, 0, 1/3, 0, 1, 2/3}, {0, 0, 1, 0, 1/3, 1/3, 0, 1, 2/3}, 
   {1, 1/3, 0, 1/3, 1/3, 0, 2/3, 0, 0}, {1, 0, 0, 2/3, 0, 0, 1/3, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 0, 2/3, 1, 2/3, 0, 0, 1/3, 1/3}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 2/3, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 2/3, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 2/3, 0, 1, 1/3, 0, 1/3, 1}, 
   {0, 0, 0, 0, 1, 1/3, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1, 0, 1/2, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1}, {1/2, 0, 0, 1, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1/2, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/3, 2/3, 0, 0, 1/3, 0, 0}, 
   {1/3, 0, 0, 0, 0, 0, 0, 1/3, 1}, {0, 1, 1/3, 0, 0, 2/3, 0, 1/3, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 2/3, 1, 0, 0}, {1, 0, 2/3, 0, 0, 0, 1, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1/3, 2/3, 0, 0, 0, 0, 0, 1/3}, {1/3, 0, 1/3, 1/3, 0, 0, 0, 0, 2/3}, 
   {1/3, 1/3, 0, 0, 1, 1/3, 0, 2/3, 0}, {0, 1/3, 0, 0, 2/3, 0, 1/3, 0, 2/3}, 
   {0, 1/3, 0, 2/3, 1/3, 1/3, 0, 1/3, 0}, {0, 0, 0, 2/3, 0, 1/3, 2/3, 2/3, 
    0}, {1/3, 1/3, 0, 1/3, 0, 2/3, 1/3, 0, 0}, {0, 0, 0, 2/3, 1/3, 1/3, 0, 
    1/3, 0}, {0, 0, 1/3, 0, 1/3, 0, 1/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 1, 0, 1, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/3, 0, 0, 0, 2/3}, 
   {0, 1/3, 0, 1, 0, 1, 0, 0, 1}, {0, 1/3, 0, 2/3, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1/3, 0, 1, 2/3, 1, 0}, {1/3, 0, 1/3, 2/3, 0, 2/3, 1/3, 2/3, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 1/3, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1, 1/2, 1/2, 0, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 1, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {1, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1/2, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1, 1, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1, 0}, {0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1/2, 0, 1}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 1/3, 1/3, 0, 0, 0, 0}, {1/3, 1/3, 0, 0, 1/3, 1/3, 2/3, 0, 
    0}, {0, 0, 2/3, 1, 0, 0, 0, 1/3, 1/3}, {2/3, 2/3, 0, 1/3, 0, 1/3, 1/3, 0, 
    0}, {1, 2/3, 0, 1/3, 0, 0, 1/3, 0, 0}, {0, 0, 1/3, 0, 1, 1, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 1/3, 0, 2/3, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/7, 5/7, 0, 2/7, 0, 0, 0, 5/7}, {0, 0, 3/7, 0, 4/7, 2/7, 0, 0, 3/7}, 
   {5/7, 3/7, 0, 0, 0, 0, 5/7, 1, 0}, {0, 0, 2/7, 0, 0, 0, 0, 6/7, 4/7}, 
   {4/7, 0, 0, 2/7, 2/7, 0, 0, 0, 4/7}, {0, 4/7, 0, 6/7, 0, 0, 2/7, 0, 0}, 
   {5/7, 5/7, 0, 2/7, 0, 2/7, 0, 0, 1}, {0, 4/7, 1/7, 0, 6/7, 6/7, 1, 1/7, 
    0}, {2/7, 0, 1, 0, 0, 0, 1, 5/7, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 0, 1/2, 1/2, 0, 0, 0, 1/2, 
    0}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 1}, {0, 1/2, 1/2, 0, 0, 0, 0, 1, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 0, 1, 1/2}, 
   {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1, 1/2}, {0, 1, 1/2, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1, 1}, {1/2, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1, 0, 1, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 0, 1, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1, 0}, {0, 1, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 1/2}, {1/2, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 1/2, 0, 1, 1/2}, {1/2, 1, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, {1, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 1/2, 0, 1, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 1/3, 1/3, 0, 0, 2/3, 0, 0}, {1, 0, 0, 0, 1, 1/3, 0, 2/3, 0}, 
   {0, 1, 1, 0, 1/3, 1/3, 0, 2/3, 2/3}, {1/3, 0, 0, 1, 0, 2/3, 0, 2/3, 0}, 
   {1, 2/3, 0, 1/3, 2/3, 0, 2/3, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1, 1}, {1, 1/2, 0, 0, 0, 1, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1, 1/2}, {0, 0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 1, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1/2}, {0, 1, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1, 1/2}, {0, 0, 0, 0, 1/2, 1, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/3, 0, 0, 2/3, 0, 1, 0}, 
   {0, 1/3, 0, 2/3, 0, 0, 1/3, 0, 1/3}, {1/3, 0, 1/3, 0, 2/3, 0, 1, 0, 1}, 
   {0, 1/3, 0, 2/3, 2/3, 0, 0, 1/3, 0}, {0, 1, 2/3, 0, 0, 0, 2/3, 1, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 1, 0}, {0, 1/2, 0, 1/2, 1, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1, 1}, 
   {1/2, 1/2, 0, 1, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 
    1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 2/3, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1/3, 1, 0, 0, 0, 2/3, 1/3, 2/3, 0}, 
   {0, 0, 1/3, 0, 2/3, 2/3, 1/3, 0, 0}, {1, 1, 0, 0, 2/3, 0, 0, 1/3, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 2/3, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1/2, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1/2}, {0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {1, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1/2, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, {0, 1, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1, 0, 1, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1/2, 1, 0, 1/2, 0, 1, 0, 1, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1}, {1/2, 0, 0, 0, 1, 1, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 1, 1/2, 1, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, {1/2, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 1, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 1, 0, 0, 1, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/9, 0, 1, 0, 0, 8/9, 2/3}, {1, 7/9, 0, 5/9, 0, 5/9, 4/9, 0, 0}, 
   {2/3, 0, 1/9, 0, 1/3, 0, 0, 4/9, 2/3}, {1/9, 1/9, 0, 0, 5/9, 0, 0, 4/9, 
    4/9}, {0, 4/9, 1, 1/9, 0, 1/3, 0, 0, 0}, {0, 0, 1, 1/3, 0, 1/3, 4/9, 2/9, 
    0}, {0, 0, 0, 0, 0, 0, 8/9, 0, 2/9}, {0, 2/9, 0, 8/9, 0, 8/9, 0, 0, 0}, 
   {0, 0, 0, 2/9, 2/9, 0, 8/9, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1}, {0, 0, 1/2, 0, 1, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1/2, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1, 0, 1, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1/2, 1, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {1, 1, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 1/3, 0, 1/3, 0}, {1/3, 0, 0, 1/3, 2/3, 0, 0, 0, 0}, 
   {2/3, 1, 0, 0, 0, 0, 0, 1/3, 1}, {0, 1/3, 1/3, 2/3, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 1, 1/3, 0, 0, 2/3, 1/3, 0}, {1/3, 0, 1, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 1/3, 0, 1/3}, {1/3, 1, 0, 0, 0, 0, 1, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1, 0, 1/2, 1, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1/2, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, {0, 1/2, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 1}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 1, 0, 1/2, 1}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 1, 1, 1/2, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{4/7, 3/7, 4/7, 0, 0, 2/7, 0, 0, 3/7}, {2/7, 3/7, 0, 4/7, 0, 4/7, 0, 0, 
    3/7}, {3/7, 0, 1, 0, 0, 0, 3/7, 5/7, 0}, {0, 2/7, 0, 0, 4/7, 0, 0, 2/7, 
    4/7}, {4/7, 6/7, 0, 0, 0, 0, 0, 2/7, 0}, {0, 0, 2/7, 2/7, 4/7, 0, 0, 0, 
    6/7}, {0, 1/7, 4/7, 0, 0, 0, 3/7, 1/7, 0}, {1/7, 0, 1, 2/7, 0, 4/7, 0, 0, 
    1/7}, {0, 1/7, 0, 0, 4/7, 0, 3/7, 1/7, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/7, 2/7, 0, 4/7, 0, 0, 0, 2/7}, {0, 2/7, 0, 2/7, 6/7, 0, 0, 0, 2/7}, 
   {0, 0, 4/7, 2/7, 0, 4/7, 2/7, 6/7, 0}, {4/7, 0, 2/7, 0, 1/7, 0, 0, 5/7, 
    2/7}, {4/7, 0, 0, 5/7, 0, 1, 1/7, 0, 3/7}, {0, 0, 2/7, 2/7, 1, 0, 2/7, 
    5/7, 0}, {0, 2/7, 0, 0, 1/7, 2/7, 3/7, 0, 3/7}, 
   {0, 4/7, 0, 3/7, 0, 5/7, 0, 1/7, 0}, {2/7, 0, 0, 0, 1/7, 0, 5/7, 0, 3/7}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 3/4, 0, 0, 0, 0, 1/2, 3/4}, 
   {0, 0, 1/4, 0, 3/4, 1, 1/2, 1/4, 0}, {1/4, 1/2, 1/2, 0, 1/4, 1/2, 0, 0, 
    0}, {0, 1/2, 1/2, 0, 0, 1/4, 0, 1/4, 1/2}, {0, 1/4, 0, 1/4, 0, 0, 1/4, 
    1/4, 1/4}, {1/4, 0, 0, 3/4, 1/4, 0, 1/2, 0, 0}, 
   {1/4, 0, 0, 1/4, 0, 0, 3/4, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1/4}, 
   {0, 0, 0, 1/2, 1/4, 0, 3/4, 1/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 1, 1, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 1/2, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 1, 1/2, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 1, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1/2}, {0, 1/2, 1, 1/2, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1/2, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 1/2}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1/3, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 2/3, 0, 0, 0, 1}, 
   {2/3, 0, 2/3, 0, 0, 1/3, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 2/3, 1, 0}, 
   {0, 1/3, 1, 2/3, 1/3, 0, 0, 0, 2/3}, {1/3, 0, 0, 0, 1/3, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 1/3, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/4, 7/12, 1/4, 1/3, 0, 1/2, 0, 1/12, 0}, 
   {5/12, 5/6, 0, 1/4, 1/12, 0, 1/6, 0, 1/3}, {0, 0, 0, 2/3, 0, 3/4, 1/4, 
    2/3, 0}, {1/4, 1/12, 1/6, 0, 3/4, 1/12, 0, 0, 1/6}, 
   {0, 0, 0, 0, 0, 1/4, 5/12, 0, 1}, {1/12, 0, 5/12, 1/3, 1, 0, 0, 1/6, 0}, 
   {0, 0, 0, 1/12, 0, 1/4, 1/3, 11/12, 0}, {1/3, 0, 3/4, 0, 1/3, 0, 0, 0, 
    1/4}, {0, 1/12, 1/4, 0, 1/6, 1/6, 1/6, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1/2, 1/2, 1, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/5, 1, 0, 0, 1/5, 1}, 
   {4/5, 0, 1/5, 0, 1/5, 1/5, 0, 0}, {4/5, 0, 0, 1, 0, 1/5, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 4/5, 3/5, 0, 1, 0, 1/5, 1/5}, 
   {0, 4/5, 0, 0, 0, 0, 4/5, 0}, {0, 0, 4/5, 0, 4/5, 0, 0, 0}, 
   {0, 2/5, 0, 0, 2/5, 0, 2/5, 2/5}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 4/5, 2/5, 0, 2/5, 0}, 
   {0, 4/5, 2/5, 0, 0, 0, 0, 0}, {4/5, 0, 0, 1/5, 0, 3/5, 1/5, 0}, 
   {0, 0, 3/5, 0, 1, 0, 0, 1/5}, {0, 0, 2/5, 1, 0, 0, 0, 3/5}, 
   {4/5, 0, 1, 0, 3/5, 1/5, 1/5, 0}, {0, 4/5, 0, 1, 0, 2/5, 0, 1/5}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 3/5, 0, 2/5, 0, 1, 0}, {1, 2/5, 0, 3/5, 0, 0, 0, 0, 0}, 
   {3/5, 0, 2/5, 0, 0, 0, 0, 2/5, 3/5}, {0, 2/5, 1/5, 0, 4/5, 1/5, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/5, 3/5, 0, 1}, {0, 0, 2/5, 1/5, 1, 0, 1/5, 0, 0}, 
   {0, 3/5, 1, 0, 0, 0, 2/5, 0, 3/5}, {0, 1/5, 0, 2/5, 1, 3/5, 0, 0, 0}, 
   {1/5, 0, 0, 1/5, 0, 3/5, 2/5, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 3/7, 0, 2/7, 3/7, 0, 0, 0}, {1/7, 3/7, 0, 3/7, 1/7, 0, 6/7, 0, 0}, 
   {0, 0, 1/7, 0, 0, 3/7, 2/7, 0, 2/7}, {0, 0, 1, 1, 3/7, 0, 0, 0, 4/7}, 
   {3/7, 5/7, 0, 4/7, 0, 1/7, 0, 6/7, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {6/7, 4/7, 0, 6/7, 6/7, 0, 0, 0, 6/7}, {0, 0, 4/7, 0, 2/7, 4/7, 0, 2/7, 
    0}, {2/7, 0, 6/7, 0, 0, 0, 4/7, 4/7, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1/3, 0, 0, 0}, {1, 0, 1/3, 0, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 1, 1/3, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 0, 1, 1/3, 0, 0, 0}, {0, 1/3, 1/3, 0, 0, 2/3, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 3/5, 1, 0, 2/5, 0, 0, 0, 3/5}, 
   {3/5, 0, 2/5, 0, 0, 2/5, 3/5, 3/5, 0}, {1/5, 0, 0, 2/5, 0, 2/5, 1/5, 3/5, 
    0}, {0, 0, 0, 2/5, 0, 2/5, 0, 0, 4/5}, {4/5, 4/5, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 2/5, 0, 2/5, 4/5, 0, 0, 2/5, 0}, {3/5, 0, 0, 0, 2/5, 0, 2/5, 0, 3/5}, 
   {0, 1/5, 1, 0, 0, 2/5, 3/5, 3/5, 0}, {1, 0, 2/5, 0, 4/5, 0, 0, 0, 1/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1/3, 0, 1}, 
   {0, 1, 2/3, 0, 0, 0, 1/3, 0}, {1/3, 0, 2/3, 0, 0, 0, 1, 0}, 
   {0, 1/3, 1/3, 1/3, 1/3, 0, 1/3, 0}, {0, 1, 0, 0, 2/3, 1/3, 0, 1/3}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1, 1, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1/3, 0, 1/3, 2/3, 0, 1, 0}, 
   {2/3, 0, 1, 0, 0, 0, 0, 1/3, 0}, {2/3, 1/3, 0, 1/3, 2/3, 0, 0, 0, 1}, 
   {0, 2/3, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 2/3, 0}, 
   {0, 1/3, 0, 2/3, 1/3, 0, 1, 0, 0}, {1/3, 2/3, 0, 2/3, 1/3, 0, 0, 1, 0}, 
   {0, 0, 2/3, 0, 0, 1/3, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 0}, {0, 1/3, 0, 1, 0, 2/3, 0}, 
   {1/3, 0, 1/3, 0, 0, 0, 2/3}, {1/3, 0, 0, 1, 2/3, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0}, {0, 1/3, 1/3, 0, 2/3, 2/3, 0}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 1, 1/2}, {1/2, 1, 0, 1/2, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1/3, 0, 0, 2/3, 1/3, 0, 2/3, 0}, 
   {1/3, 1/3, 0, 0, 0, 1/3, 2/3, 2/3, 0}, {0, 0, 1, 0, 2/3, 0, 1/3, 0, 2/3}, 
   {0, 1, 0, 0, 0, 0, 1/3, 0, 1}, {0, 0, 0, 2/3, 1, 0, 0, 1, 0}, 
   {0, 0, 1/3, 0, 0, 1, 1/3, 0, 2/3}, {1, 0, 0, 1, 1/3, 0, 2/3, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 1/3, 0}, {0, 0, 1/3, 0, 0, 1/3, 1/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1, 1/2}, {1, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, {1, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1, 1/2, 0, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 0, 0, 0, 1/3}, {0, 0, 1/3, 2/3, 0, 2/3, 1, 0}, 
   {0, 1/3, 1/3, 2/3, 1/3, 1/3, 1/3, 0}, {2/3, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 1, 2/3}, {1/3, 0, 1, 1, 0, 1/3, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/3, 0, 0, 0, 1/3, 0, 1/3}, 
   {0, 1/3, 0, 0, 0, 0, 0, 1, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {1/3, 0, 1/3, 2/3, 2/3, 0, 0, 1/3, 0}, {1/3, 0, 1/3, 0, 2/3, 0, 2/3, 1, 
    0}, {0, 1, 2/3, 0, 0, 0, 1, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 2/3, 2/3, 0, 1/3, 1, 0}, 
   {1, 0, 0, 0, 0, 2/3, 0, 0, 1/3}, {0, 1/3, 1/3, 2/3, 2/3, 0, 0, 0, 1/3}, 
   {1/3, 2/3, 0, 2/3, 0, 0, 1/3, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1/2, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1/2, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 1, 1/3, 2/3, 0, 2/3, 0, 0, 1/3}, 
   {0, 1, 1, 0, 0, 0, 0, 2/3, 1}, {1/3, 0, 0, 2/3, 2/3, 0, 1/3, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 2/3, 2/3, 0, 1/3}, {1, 0, 0, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 1, 1/3, 0, 2/3, 0, 1, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 1/2, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 1, 0, 1/2, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, 
   {0, 1, 0, 1/3, 1, 0, 0, 0}, {1/3, 0, 1/3, 0, 0, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 2/3, 0, 2/3, 0, 0}, {1/3, 0, 0, 1/3, 1, 0, 0, 2/3}, 
   {0, 1, 1/3, 0, 2/3, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 1/3, 0, 2/3, 0}, 
   {1/3, 0, 2/3, 1/3, 0, 0, 0, 0, 0}, {0, 0, 1/3, 0, 1/3, 0, 0, 1/3, 0}, 
   {1/3, 1/3, 0, 2/3, 0, 1/3, 0, 1/3, 1/3}, {1, 1, 0, 0, 0, 0, 0, 1/3, 1}, 
   {0, 0, 2/3, 0, 2/3, 0, 1, 0, 1/3}, {0, 0, 1, 0, 2/3, 1/3, 0, 2/3, 2/3}, 
   {0, 1/3, 0, 2/3, 0, 2/3, 1/3, 0, 0}, {2/3, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 1/3, 0, 2/3, 0, 0, 0, 2/3, 0}, {2/3, 1/3, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 0, 0, 2/3, 0, 1/3, 0, 2/3}, {0, 1/3, 1, 2/3, 0, 0, 0, 1/3, 1}, 
   {1, 2/3, 0, 0, 2/3, 0, 1/3, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/3, 0, 2/3, 2/3, 1/3, 0, 0}, {1, 1/3, 0, 0, 0, 2/3, 0, 1/3, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 4/7, 5/7, 5/7, 4/7, 0}, 
   {5/7, 2/7, 1/7, 2/7, 0, 0, 2/7, 0, 0}, {6/7, 0, 0, 5/7, 1/7, 0, 0, 0, 
    2/7}, {0, 5/7, 6/7, 2/7, 0, 0, 0, 1/7, 0}, {2/7, 0, 3/7, 0, 3/7, 3/7, 
    2/7, 0, 1}, {2/7, 0, 0, 0, 4/7, 6/7, 0, 0, 1}, 
   {0, 2/7, 3/7, 0, 0, 1/7, 0, 1/7, 5/7}, {0, 3/7, 0, 4/7, 2/7, 1/7, 0, 0, 
    1/7}, {5/7, 0, 0, 0, 0, 0, 2/7, 4/7, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 1/3, 2/3, 0, 1, 2/3, 0}, {1/3, 0, 1, 0, 0, 1/3, 2/3, 1/3, 
    0}, {1/3, 0, 0, 2/3, 0, 1, 0, 1/3, 1}, {0, 1/3, 0, 0, 0, 0, 0, 1/3, 1/3}, 
   {1/3, 1/3, 0, 1/3, 0, 0, 0, 0, 0}, {1/3, 0, 0, 2/3, 0, 0, 0, 1/3, 0}, 
   {0, 0, 1/3, 0, 1, 0, 0, 0, 2/3}, {1/3, 1, 0, 0, 0, 2/3, 1, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 1/3, 1/3, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 1/2, 1/2, 0}, {0, 0, 1, 0, 1, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 1, 0, 0, 1/2, 1/2, 0, 1/3, 0}, {1/2, 1/2, 1/3, 1/2, 0, 0, 1/6, 0, 
    1/6}, {1/6, 0, 1/2, 2/3, 0, 1/6, 1/2, 1/2, 0}, 
   {1/3, 0, 1/2, 0, 0, 0, 0, 0, 1/6}, {0, 0, 1/3, 0, 1/6, 1/3, 1/3, 0, 0}, 
   {1/3, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/3, 1/2, 0, 1/6, 0, 0, 1/6, 1/2}, 
   {2/3, 5/6, 0, 1, 0, 1/2, 0, 1/6, 0}, {0, 0, 2/3, 0, 1/2, 1/2, 0, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{4/5, 0, 2/5, 0, 0, 0, 0}, 
   {0, 0, 0, 4/5, 2/5, 0, 0}, {1/5, 0, 0, 0, 3/5, 1, 0}, 
   {0, 3/5, 2/5, 0, 0, 0, 1/5}, {0, 1, 4/5, 0, 1/5, 1/5, 0}, 
   {0, 1/5, 0, 0, 1/5, 3/5, 4/5}, {3/5, 0, 0, 2/5, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 2, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 2/3, 1, 1/3, 0}, 
   {1, 1, 0, 0, 0, 2/3, 0, 0, 1/3}, {2/3, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1/3, 2/3, 2/3, 0, 0, 0, 1/3}, {0, 0, 1, 0, 0, 0, 0, 2/3, 1}, 
   {1/3, 1/3, 0, 0, 2/3, 0, 1/3, 1/3, 0}, {0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 1, 0, 1, 1, 0, 0, 0}, {1/3, 2/3, 1/3, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 1, 0, 0, 2/3, 2/3, 0}, {1/3, 0, 0, 1/3, 1, 0, 0, 0}, 
   {1/3, 0, 0, 1/3, 1/3, 0, 0, 2/3}, {0, 1, 1/3, 0, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/3, 1/3, 0, 2/3, 1/3}, {0, 0, 2/3, 1, 0, 2/3, 1/3, 0, 0}, 
   {2/3, 2/3, 0, 0, 1/3, 0, 1/3, 0, 1/3}, {0, 1, 0, 2/3, 0, 0, 0, 1, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 1/3, 1/3}, {0, 0, 1, 0, 1, 1/3, 0, 0, 0}, 
   {0, 0, 0, 1/3, 0, 0, 2/3, 0, 1}, {1, 0, 2/3, 0, 0, 0, 0, 1/3, 0}, 
   {2/3, 1/3, 0, 0, 1/3, 2/3, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 1/3, 2/3, 0, 0, 0, 1/3, 0}, 
   {0, 1, 0, 0, 2/3, 1/3, 0, 0, 1/3}, {0, 0, 2/3, 1, 1/3, 0, 1/3, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {1/3, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 1, 0, 2/3, 0, 1/3, 0, 1/3, 0}, {1/3, 1, 0, 1/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 1, 0, 2/3, 2/3, 2/3, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1/3, 0, 0, 1/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/3, 0, 1/3, 2/3}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 1/3, 1/3}, {0, 0, 2/3, 1/3, 0, 2/3, 2/3, 0, 0}, 
   {1/3, 1/3, 1/3, 0, 0, 0, 1/3, 0, 1/3}, {2/3, 0, 1, 1/3, 1/3, 0, 0, 1/3, 
    0}, {1/3, 1/3, 0, 2/3, 0, 2/3, 1/3, 1/3, 0}, {0, 0, 1/3, 0, 1/3, 0, 1, 
    1/3, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 1}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, {1, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 1, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 1/3, 1/3, 2/3, 2/3, 0, 0, 1/3, 1}, {1/3, 2/3, 0, 0, 0, 2/3, 1, 0, 0}, 
   {1, 0, 0, 0, 2/3, 0, 1, 2/3, 0}, {1/3, 0, 2/3, 0, 0, 2/3, 0, 1/3, 1/3}, 
   {1/3, 0, 0, 0, 0, 2/3, 0, 1, 1/3}, {0, 1, 1/3, 0, 2/3, 0, 1, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1/2, 0}, {1, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 2/3, 0, 1/3, 0, 0, 0, 1}, 
   {2/3, 0, 0, 1/3, 0, 1, 1/3, 1, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 1/3, 2/3, 1/3, 1/3, 2/3}, {0, 0, 2/3, 0, 1, 0, 1/3, 1, 0}, 
   {0, 2/3, 0, 1/3, 0, 1, 2/3, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1, 1/2}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 1, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 0, 0, 0, 1/3}, {1/3, 0, 1/3, 1/3, 0, 1/3, 0, 0}, 
   {0, 1/3, 0, 1/3, 1/3, 0, 0, 1/3}, {0, 2/3, 1/3, 0, 2/3, 1/3, 0, 0}, 
   {1/3, 0, 1/3, 2/3, 0, 0, 0, 1}, {2/3, 0, 0, 0, 2/3, 0, 1/3, 0}, 
   {1, 0, 1/3, 0, 1, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1, 1}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/5, 4/5, 0, 0, 2/5, 0, 0, 0, 0}, 
   {2/5, 0, 2/5, 0, 0, 0, 4/5, 4/5, 0}, {0, 0, 2/5, 3/5, 0, 3/5, 1/5, 0, 0}, 
   {0, 0, 0, 1, 0, 1/5, 3/5, 4/5, 0}, {2/5, 0, 4/5, 0, 1/5, 0, 0, 1/5, 3/5}, 
   {0, 0, 0, 0, 1/5, 0, 1/5, 0, 4/5}, {0, 0, 0, 1/5, 0, 1/5, 0, 1/5, 1}, 
   {0, 2/5, 0, 0, 3/5, 4/5, 1/5, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 1, 1/2}, {1, 0, 1, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 1/3, 0, 1/3, 0, 0, 1, 0, 0}, 
   {0, 0, 2/3, 1/3, 1, 0, 0, 0, 1}, {0, 1/3, 1/3, 2/3, 0, 2/3, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1/3, 2/3}, {0, 0, 1, 0, 1/3, 0, 1, 2/3, 0}, 
   {0, 1/3, 2/3, 0, 0, 1/3, 1/3, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 0, 1/3, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 0, 0, 0, 2/3, 0}, {1/3, 0, 0, 0, 2/3, 0, 1/3, 0, 0}, 
   {1/3, 0, 1/3, 0, 0, 0, 0, 1/3, 0}, {0, 1, 2/3, 0, 2/3, 0, 0, 0, 1}, 
   {0, 2/3, 0, 2/3, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 1/3, 0, 1/3, 1}, {0, 1, 1, 0, 1, 0, 1, 2/3, 0}, 
   {1/3, 0, 1/3, 1/3, 0, 2/3, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 6/7, 6/7}, {4/7, 0, 0, 4/7, 0, 0, 0, 2/7, 0}, 
   {6/7, 0, 6/7, 0, 0, 2/7, 0, 0, 4/7}, {0, 5/7, 0, 1/7, 2/7, 0, 2/7, 0, 
    2/7}, {3/7, 0, 3/7, 0, 1, 1, 0, 6/7, 0}, {0, 1, 4/7, 1/7, 0, 0, 2/7, 0, 
    0}, {5/7, 0, 5/7, 1, 0, 0, 0, 0, 0}, {0, 3/7, 0, 0, 3/7, 5/7, 4/7, 0, 0}, 
   {1/7, 0, 5/7, 1/7, 0, 0, 6/7, 0, 2/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 1, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/9, 0, 1/3, 4/9, 2/3, 0, 7/9}, 
   {0, 4/9, 0, 2/3, 1, 0, 0, 0, 5/9}, {2/3, 0, 2/3, 1/3, 0, 1/9, 1/3, 1/3, 
    0}, {0, 4/9, 2/9, 0, 2/9, 2/9, 0, 0, 0}, {0, 2/3, 0, 0, 0, 4/9, 0, 4/9, 
    0}, {0, 0, 4/9, 0, 2/3, 0, 0, 0, 2/3}, {4/9, 0, 0, 1, 0, 5/9, 0, 0, 1/3}, 
   {0, 0, 0, 1/3, 0, 1, 0, 2/3, 1/3}, {2/9, 2/9, 0, 0, 1/3, 0, 7/9, 7/9, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 1/2, 0, 1, 0}, {0, 1/2, 0, 0, 1, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, {1/2, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1/3, 0, 0}, {1/3, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1/3, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1/3, 0, 0, 0, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1/3, 2/3, 0, 0, 1}, {0, 1/3, 0, 2/3, 1/3, 0, 1/3, 1, 0}, 
   {0, 0, 0, 0, 1/3, 2/3, 0, 0, 1/3}, {1/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {1/3, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {0, 0, 1/3, 0, 1/3, 2/3, 1, 1, 0}, 
   {1/3, 1/3, 0, 1/3, 0, 1, 1/3, 1/3, 0}, {1/3, 2/3, 0, 2/3, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 1/3, 0, 0, 1, 1/3}, 
   {0, 1, 0, 0, 0, 0, 1/3, 0, 0}, {1, 0, 2/3, 0, 0, 0, 1/3, 0, 0}, 
   {0, 1/3, 1/3, 0, 0, 2/3, 0, 1/3, 1/3}, {0, 0, 0, 1/3, 0, 1, 0, 2/3, 0}, 
   {0, 2/3, 1/3, 2/3, 1, 0, 0, 0, 0}, {2/3, 0, 1/3, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 2/3, 0, 2/3, 2/3, 0, 0, 1/3, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1, 0, 1/2, 0, 1/2}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 
    1/2}, {1, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 1, 1, 0, 0, 1/3}, 
   {0, 0, 0, 0, 1, 1/3, 0, 2/3, 1/3}, {2/3, 0, 0, 1/3, 0, 0, 1, 1, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 2/3, 2/3, 1/3, 0, 0, 0, 0, 1/3}, {0, 2/3, 0, 0, 1, 1, 1, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/4, 1/2, 1, 0, 1/2}, 
   {3/4, 1/4, 1/4, 0, 0, 3/4, 1/4, 1/4, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 3/4, 0, 0, 0, 0, 3/4, 0}, {1/4, 0, 0, 1/2, 1/4, 0, 3/4, 0, 1/4}, 
   {0, 0, 0, 3/4, 1/2, 0, 3/4, 0, 0}, {0, 0, 1/4, 0, 0, 1/4, 0, 1/4, 1/2}, 
   {1/2, 0, 0, 0, 1/4, 0, 1/4, 0, 0}, {0, 0, 0, 1/2, 1/4, 0, 1/4, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1/2, 1, 1/2, 0, 1/2}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 1/3, 1, 0, 0, 1/3, 0}, 
   {1, 1/3, 0, 0, 0, 1, 0, 0, 0}, {2/3, 0, 0, 1, 0, 1/3, 2/3, 0, 0}, 
   {2/3, 2/3, 0, 1, 0, 0, 1/3, 0, 1/3}, {0, 0, 1/3, 2/3, 0, 1, 0, 0, 0}, 
   {0, 2/3, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 1/3, 2/3}, 
   {0, 2/3, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/5, 1, 0, 1/5, 3/5, 0, 0, 0, 2/5}, 
   {0, 1, 0, 3/5, 1, 0, 0, 0, 0}, {3/5, 0, 1, 0, 0, 1, 2/5, 0, 0}, 
   {0, 2/5, 2/5, 2/5, 0, 0, 0, 0, 0}, {0, 0, 2/5, 4/5, 0, 0, 0, 0, 2/5}, 
   {0, 4/5, 0, 0, 0, 2/5, 4/5, 0, 0}, {2/5, 3/5, 0, 2/5, 0, 3/5, 0, 2/5, 0}, 
   {0, 3/5, 0, 0, 0, 1, 0, 4/5, 2/5}, {1, 0, 3/5, 1/5, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 2/3, 1, 0, 0, 1/3}, 
   {0, 1, 0, 0, 0, 1/3, 0, 2/3, 2/3}, {2/3, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/3, 1/3, 0, 1/3, 0}, {0, 0, 0, 2/3, 0, 0, 1/3, 0, 1/3}, 
   {1/3, 0, 0, 2/3, 1/3, 0, 1/3, 0, 0}, {1, 0, 0, 0, 2/3, 1, 0, 1/3, 0}, 
   {0, 1, 0, 2/3, 0, 0, 2/3, 1/3, 0}, {1/3, 1, 0, 1/3, 1/3, 0, 1/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/5, 1/5, 0, 2/5, 2/5, 4/5, 0}, 
   {2/5, 0, 1, 1, 2/5, 0, 0, 0, 0}, {1/5, 1/5, 0, 0, 1/5, 1/5, 0, 4/5, 0}, 
   {0, 2/5, 1/5, 0, 1/5, 3/5, 0, 0, 4/5}, {0, 0, 1/5, 0, 1/5, 1, 0, 0, 4/5}, 
   {3/5, 1, 0, 1/5, 0, 0, 4/5, 0, 0}, {0, 0, 0, 4/5, 2/5, 0, 0, 0, 4/5}, 
   {0, 2/5, 0, 0, 0, 0, 4/5, 0, 4/5}, {0, 0, 4/5, 0, 2/5, 0, 4/5, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 2/3, 0, 0, 1/3, 1, 0, 0, 0}, 
   {0, 0, 1, 1/3, 0, 0, 2/3, 0, 1}, {1, 1, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 0, 2/3, 1/3, 0, 0, 0, 1/3, 0}, {0, 0, 1/3, 0, 0, 1/3, 0, 0, 2/3}, 
   {0, 1/3, 0, 1/3, 0, 0, 2/3, 0, 2/3}, {1/3, 0, 0, 0, 1/3, 0, 2/3, 2/3, 0}, 
   {1, 2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 0, 1/3, 0, 0, 0, 1/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1, 1/2, 0}, {0, 1/2, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 2/3, 1, 0, 1/3}, 
   {1/3, 0, 1, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 2/3, 1}, 
   {0, 0, 0, 0, 2/3, 1/3, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1/3, 2/3}, 
   {2/3, 1, 0, 0, 0, 0, 0, 1/3, 0}, {0, 0, 0, 1, 2/3, 0, 1, 0, 0}, 
   {0, 1/3, 0, 2/3, 0, 0, 1, 1/3, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 1/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 2/3, 0, 1/3}, {2/3, 0, 0, 2/3, 0, 1/3, 0, 2/3}, 
   {0, 0, 1/3, 2/3, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 1/3}, 
   {0, 1/3, 1/3, 1/3, 0, 1/3, 2/3, 0}, {0, 1, 2/3, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 2/3, 0, 2/3, 0, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {1, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 1, 1, 1/2, 1/2, 0, 1, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {1, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 0, 1, 2/3, 1, 2/3, 0}, {0, 0, 1, 0, 1/3, 0, 1/3, 1}, 
   {0, 2/3, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1/3, 1}, 
   {0, 0, 1, 0, 1/3, 1, 0, 0}, {0, 0, 1/3, 0, 1/3, 1, 0, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/5, 1/5, 0, 0, 0, 2/5, 1, 0, 3/5}, 
   {0, 0, 1, 0, 0, 0, 0, 1/5, 0}, {0, 0, 0, 0, 4/5, 0, 0, 0, 2/5}, 
   {2/5, 2/5, 0, 2/5, 0, 0, 0, 2/5, 0}, {2/5, 0, 0, 2/5, 0, 0, 0, 4/5, 0}, 
   {3/5, 1, 2/5, 2/5, 0, 0, 2/5, 1/5, 0}, {0, 0, 3/5, 4/5, 0, 4/5, 1, 0, 1}, 
   {1, 1, 0, 0, 2/5, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 1/2}, {1, 1, 0, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 1/2}, 
   {1, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 1, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1, 1/2, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, {1, 0, 1, 0, 0, 2/3, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 2/3, 0, 0, 0, 1/3}, 
   {0, 1, 0, 0, 0, 2/3, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1/3, 0, 1, 0, 2/3, 0, 2/3, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 1, 0, 1/2}, 
   {1/2, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 
    1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {1, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1/2}, {1, 1, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 1, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1, 0}, {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1, 0, 1/2, 1/2}, {0, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 4/7, 0, 0, 0, 1, 0, 2/7, 3/7}, {0, 0, 1/7, 1, 2/7, 0, 6/7, 0, 0}, 
   {1/7, 1/7, 0, 0, 1/7, 1, 0, 1/7, 6/7}, {0, 0, 0, 5/7, 4/7, 6/7, 3/7, 0, 
    0}, {4/7, 0, 3/7, 0, 4/7, 6/7, 0, 5/7, 0}, {1/7, 1/7, 0, 0, 1, 0, 0, 5/7, 
    6/7}, {0, 0, 0, 6/7, 0, 0, 1/7, 1/7, 1/7}, {1/7, 1/7, 0, 1, 0, 0, 0, 1/7, 
    0}, {0, 0, 1/7, 0, 1/7, 1/7, 6/7, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 1, 1/2, 0, 1/2, 0, 1/2, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{4/5, 3/5, 2/5, 1/5, 1/5, 0, 0, 0, 0}, {2/5, 3/5, 0, 3/5, 1/5, 0, 0, 2/5, 
    0}, {1, 0, 3/5, 0, 0, 3/5, 2/5, 0, 4/5}, {0, 0, 2/5, 0, 2/5, 0, 0, 4/5, 
    0}, {0, 2/5, 0, 2/5, 2/5, 0, 0, 0, 2/5}, {0, 4/5, 2/5, 0, 0, 0, 0, 0, 
    2/5}, {0, 1/5, 0, 0, 0, 3/5, 2/5, 0, 0}, {1/5, 0, 3/5, 1/5, 1/5, 0, 2/5, 
    0, 2/5}, {0, 3/5, 0, 0, 2/5, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1/2, 1, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 1, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 0, 1/4, 0, 0, 1/4, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/4, 0}, {1/4, 1, 1/4, 0, 3/4, 1/4, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}, {1/2, 1, 0, 0, 1, 0, 0, 0, 1/2}, 
   {1/4, 0, 1, 0, 0, 0, 0, 1/4, 1}, {0, 1, 1/2, 1/4, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 3/4, 0, 1, 1/4, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 1, 2/3, 0}, {0, 0, 2/3, 0, 1, 0, 1/3, 1}, 
   {0, 2/3, 0, 0, 1/3, 1/3, 0, 1/3}, {0, 1, 1/3, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1/3, 0, 0}, {2/3, 0, 0, 1/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 2/3, 0, 1/3, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1, 1}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 1}, {1/2, 1, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1/2, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1, 0}, {1/2, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 1/2, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/5, 4/5, 0, 0, 1/5, 4/5, 1/5, 1/5, 0}, {0, 0, 0, 3/5, 0, 1, 0, 0, 1}, 
   {2/5, 0, 0, 4/5, 1, 0, 3/5, 1, 0}, {0, 2/5, 2/5, 0, 2/5, 0, 0, 0, 2/5}, 
   {0, 0, 0, 2/5, 2/5, 0, 2/5, 0, 4/5}, {0, 0, 4/5, 0, 0, 4/5, 4/5, 2/5, 0}, 
   {2/5, 0, 2/5, 0, 3/5, 0, 0, 0, 1/5}, {2/5, 0, 0, 1/5, 0, 1/5, 1/5, 3/5, 
    0}, {0, 0, 0, 2/5, 3/5, 0, 0, 0, 1/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {1/3, 0, 1, 0, 0, 1/3, 0, 2/3, 0}, {0, 1/3, 0, 1, 1/3, 0, 0, 2/3, 2/3}, 
   {2/3, 1, 0, 1, 1, 0, 0, 0, 0}, {1/3, 0, 1, 1/3, 1/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 2/3, 0, 1, 0, 0, 2/3}, {2/3, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, {0, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 1, 1, 0, 1/2, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 1, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1}, {1/2, 0, 1/2, 0, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{4/7, 4/7, 0, 0, 4/7, 0, 0, 0, 2/7}, {4/7, 0, 0, 6/7, 6/7, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 4/7, 6/7, 0, 6/7}, {1/7, 5/7, 0, 0, 3/7, 0, 0, 4/7, 2/7}, 
   {0, 0, 1/7, 1/7, 0, 1, 0, 6/7, 0}, {1/7, 5/7, 0, 4/7, 1, 0, 0, 0, 2/7}, 
   {0, 0, 5/7, 2/7, 1/7, 2/7, 0, 0, 0}, {1/7, 1/7, 0, 3/7, 0, 1, 4/7, 0, 0}, 
   {0, 0, 5/7, 0, 1/7, 0, 2/7, 2/7, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 1/2, 1, 1/2, 0, 0, 1, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 0, 0, 0, 1}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 1, 0, 1/3, 1/3, 0, 2/3, 0, 2/3}, 
   {1/3, 0, 1, 0, 0, 1, 0, 0, 2/3}, {0, 1/3, 0, 1, 1/3, 0, 0, 2/3, 0}, 
   {0, 1/3, 0, 0, 2/3, 1, 0, 0, 0}, {0, 1/3, 0, 0, 0, 1, 0, 0, 2/3}, 
   {1/3, 0, 1, 1/3, 1/3, 0, 2/3, 0, 0}, {0, 0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3}, {2/3, 2/3, 0, 1/3, 0, 1/3, 0, 0}, 
   {0, 0, 1, 0, 1/3, 0, 1, 1/3}, {2/3, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1/3}, {0, 2/3, 0, 1, 0, 0, 1/3, 1/3}, 
   {0, 0, 1, 0, 1/3, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1/3, 1}, {1/3, 0, 2/3, 1/3, 0, 0, 1, 0, 1/3}, 
   {2/3, 0, 2/3, 1/3, 1/3, 0, 1, 0, 0}, {0, 0, 0, 1/3, 1/3, 0, 0, 1, 0}, 
   {1/3, 2/3, 0, 0, 0, 0, 1/3, 1/3, 0}, {0, 0, 0, 0, 1/3, 1, 1/3, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0, 1}, {0, 1/3, 0, 1/3, 0, 2/3, 2/3, 1/3, 0}, 
   {0, 2/3, 0, 0, 0, 1/3, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 2/3, 1/9, 0, 0, 8/9, 0, 0, 1/3}, {2/3, 7/9, 0, 0, 2/9, 0, 1, 1/9, 
    0}, {1/9, 0, 1/9, 2/3, 0, 8/9, 0, 0, 1}, {0, 0, 0, 4/9, 8/9, 0, 0, 8/9, 
    0}, {0, 0, 0, 0, 0, 0, 8/9, 8/9, 0}, {2/9, 0, 8/9, 0, 8/9, 0, 2/9, 0, 0}, 
   {0, 1/9, 0, 4/9, 0, 0, 0, 0, 1}, {1/3, 0, 7/9, 2/9, 0, 2/9, 1/9, 1/9, 0}, 
   {1/9, 0, 7/9, 0, 0, 0, 1/9, 1/3, 2/9}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{2/3, 0, 1, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 1, 0, 2/3, 1, 0}, {0, 0, 0, 2/3, 0, 1, 0, 0, 1}, 
   {0, 1/3, 0, 0, 2/3, 0, 1/3, 0, 1/3}, {1/3, 2/3, 0, 0, 2/3, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 0, 1/3, 2/3, 0, 0}, {0, 1/3, 1/3, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 1, 0, 1, 0, 2/3, 1/3, 1, 0}, {0, 0, 0, 1/3, 1, 0, 1/3, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, {1/2, 1, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 1/3, 0, 0, 1/3, 0, 0, 1/3, 0}, {0, 2/3, 0, 0, 2/3, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 2/3, 0}, {1/3, 0, 2/3, 2/3, 0, 2/3, 0, 0, 0}, 
   {1/3, 0, 2/3, 0, 2/3, 2/3, 2/3, 1/3, 0}, {0, 2/3, 0, 1, 1/3, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 2/3, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 1}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1/2, 1, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 1, 0}, {1, 1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 0}, {1, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 1}, {0, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {0, 1, 0, 1/2, 1, 0, 1, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1/3, 2/3, 0, 0, 0}, {0, 1/3, 0, 0, 0, 1, 1/3, 1/3, 0}, 
   {0, 0, 1/3, 0, 1/3, 0, 2/3, 0, 2/3}, {1/3, 1/3, 0, 1/3, 1, 0, 0, 2/3, 0}, 
   {2/3, 0, 1/3, 0, 2/3, 1/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 1, 2/3, 0, 1}, 
   {0, 2/3, 0, 1/3, 2/3, 0, 0, 0, 1/3}, {0, 2/3, 1/3, 1/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/3, 0, 0, 0, 1/3, 1, 0}, {1/3, 0, 0, 2/3, 0, 0, 0, 0, 1/3}, 
   {0, 0, 2/3, 0, 0, 2/3, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, {1, 0, 0, 0, 2/3, 2/3, 1/3, 1/3, 0}, 
   {0, 1, 1/3, 0, 2/3, 0, 0, 0, 1}, {1, 2/3, 0, 0, 0, 0, 1/3, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/3, 0, 0, 1, 0, 0, 0}, {0, 2/3, 0, 0, 0, 2/3, 1/3, 1/3, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 1, 0}, {1, 0, 1/3, 0, 1/3, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 2/3, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/3, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1/3, 0, 0, 0, 0, 1}, 
   {1, 0, 1/3, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 1, 0, 0, 
    1/2}, {0, 0, 1/2, 1, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1, 1/2, 0, 
    0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1/2, 0, 1, 0, 0, 0, 0, 
    1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 1, 0, 0, 0, 1/3}, {0, 0, 1/3, 1/3, 0, 0, 2/3, 0, 0}, 
   {1/3, 1, 0, 1/3, 0, 0, 2/3, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 2/3, 1}, 
   {1/3, 1, 0, 1, 0, 0, 0, 0, 0}, {1/3, 0, 2/3, 0, 1/3, 1/3, 2/3, 0, 0}, 
   {1, 1/3, 0, 0, 0, 1, 0, 2/3, 2/3}, {2/3, 0, 2/3, 0, 0, 0, 1/3, 1/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1, 1, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1, 1, 0, 0, 0, 1/2, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1/2}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1, 1/3, 0, 1, 2/3, 0, 1/3}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 2/3, 1, 0, 1/3, 0, 0, 2/3, 1/3}, {0, 0, 1/3, 2/3, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/3, 1, 0}, {1, 1/3, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 12/19, 0, 0, 12/19, 0, 0, 8/19, 0}, 
   {0, 0, 6/19, 8/19, 2/19, 0, 12/19, 0, 0}, {2/19, 0, 0, 0, 0, 0, 12/19, 
    6/19, 0}, {11/19, 0, 15/19, 0, 4/19, 4/19, 0, 0, 1}, 
   {11/19, 4/19, 7/19, 0, 0, 12/19, 0, 4/19, 15/19}, 
   {2/19, 5/19, 0, 16/19, 14/19, 0, 1, 1/19, 0}, {0, 13/19, 2/19, 0, 2/19, 
    16/19, 10/19, 0, 1/19}, {4/19, 3/19, 0, 12/19, 0, 0, 0, 12/19, 1}, 
   {1/19, 0, 5/19, 0, 0, 16/19, 7/19, 13/19, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {2/3, 1, 1/3, 0, 0, 2/3, 0, 0, 1/3}, {0, 0, 0, 0, 2/3, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1/3, 0, 2/3, 1/3, 0}, {0, 1/3, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {1/3, 0, 2/3, 0, 0, 1/3, 0, 0, 0}, {1/3, 2/3, 0, 1/3, 0, 0, 0, 0, 2/3}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1/3, 0, 0, 2/3, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1, 0}, 
   {0, 1/2, 1, 0, 1, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{3/7, 1/7, 6/7, 0, 0, 0, 0, 1/7, 6/7}, {0, 0, 1, 4/7, 2/7, 0, 1/7, 0, 1}, 
   {3/7, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 3/7, 4/7, 4/7, 6/7, 0, 1/7, 0}, 
   {3/7, 1, 0, 0, 0, 0, 1/7, 0, 1}, {0, 0, 1, 4/7, 4/7, 0, 0, 1, 0}, 
   {0, 0, 4/7, 0, 2/7, 4/7, 2/7, 0, 0}, {0, 2/7, 6/7, 0, 0, 6/7, 0, 2/7, 0}, 
   {4/7, 0, 0, 0, 0, 0, 6/7, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 1, 0, 1/3, 0, 1/3}, {0, 0, 0, 0, 1/3, 2/3, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 1/3, 1, 0, 2/3, 1/3, 0}, 
   {2/3, 0, 1/3, 1, 0, 0, 1/3, 0}, {0, 0, 0, 0, 1/3, 1/3, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 1/2, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 1/3, 0, 0, 1/3}, {1/3, 2/3, 0, 0, 0, 1/3, 0, 0, 0}, 
   {1/3, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 1/3, 1, 0, 0, 0, 0}, 
   {2/3, 0, 2/3, 1/3, 0, 0, 0, 1, 0}, {0, 1/3, 0, 0, 2/3, 0, 2/3, 0, 1}, 
   {0, 1/3, 1/3, 1, 0, 2/3, 0, 0, 0}, {1/3, 0, 1/3, 2/3, 0, 1, 1/3, 0, 1/3}, 
   {1/3, 1/3, 0, 0, 1/3, 0, 1/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 1/3, 0, 1/3, 0}, {0, 0, 2/3, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 0, 2/3, 1, 1/3, 0, 1/3}, {0, 2/3, 1/3, 1/3, 0, 2/3, 1, 0}, 
   {0, 0, 1/3, 1/3, 2/3, 1/3, 1/3, 0}, {2/3, 0, 0, 0, 0, 0, 1/3, 0}, 
   {0, 0, 2/3, 0, 0, 1/3, 0, 2/3}, {1/3, 0, 1/3, 0, 0, 0, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/9, 0, 0, 0, 0, 2/9, 4/9, 0, 4/9}, {4/9, 4/9, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 4/9, 0, 8/9, 0, 0, 0}, {0, 2/9, 4/9, 4/9, 5/9, 0, 1/9, 0, 0}, 
   {4/9, 4/9, 0, 5/9, 0, 1/3, 0, 1/9, 1}, {0, 0, 0, 2/9, 1, 0, 1/3, 4/9, 0}, 
   {0, 0, 4/9, 1/3, 4/9, 5/9, 1/9, 0, 0}, {4/9, 2/9, 0, 7/9, 0, 1, 1, 8/9, 
    0}, {0, 0, 0, 0, 1, 0, 0, 5/9, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1/2, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 0, 1/2, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 3/5, 1/5, 1/5, 0, 0, 2/5, 1/5}, {0, 2/5, 0, 3/5, 0, 1, 1/5, 0, 
    2/5}, {0, 0, 2/5, 2/5, 1/5, 0, 0, 3/5, 2/5}, 
   {1/5, 3/5, 0, 0, 3/5, 0, 1/5, 0, 0}, {0, 3/5, 0, 1/5, 3/5, 0, 1/5, 0, 0}, 
   {2/5, 0, 4/5, 0, 0, 3/5, 0, 1/5, 0}, {0, 0, 1/5, 1/5, 2/5, 3/5, 3/5, 0, 
    2/5}, {3/5, 0, 0, 2/5, 2/5, 0, 2/5, 0, 1/5}, {2/5, 4/5, 0, 0, 0, 2/5, 0, 
    2/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1/3, 0, 0, 1/3, 0, 2/3, 0, 1}, {0, 0, 1/3, 1, 0, 1/3, 0, 0, 1/3}, 
   {2/3, 0, 1, 0, 0, 0, 1/3, 1/3, 0}, {1/3, 1, 0, 0, 1/3, 0, 1/3, 2/3, 0}, 
   {0, 0, 1/3, 0, 1, 2/3, 0, 0, 1/3}, {2/3, 1, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 1/3, 0, 0, 1/3}, {0, 0, 1/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 1/3, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/5, 1/5, 3/5, 0, 1/5, 0, 0, 1/5, 2/5}, {0, 0, 0, 4/5, 3/5, 0, 1/5, 0, 
    1}, {0, 0, 4/5, 1/5, 0, 1/5, 0, 1/5, 0}, {0, 0, 0, 2/5, 4/5, 0, 0, 0, 
    4/5}, {4/5, 4/5, 0, 0, 0, 0, 0, 2/5, 0}, {0, 2/5, 0, 0, 2/5, 0, 2/5, 0, 
    4/5}, {0, 0, 0, 0, 1/5, 0, 4/5, 1, 0}, {2/5, 0, 0, 1/5, 0, 1, 1/5, 0, 
    1/5}, {0, 0, 0, 0, 1/5, 2/5, 2/5, 3/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {1/2, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1/2, 0, 0}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1, 1, 0}, 
   {1, 1/2, 0, 0, 1/2, 1, 0, 1, 0}, {1/2, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, {1, 1/2, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 2/3, 0, 0, 0, 0, 1}, 
   {0, 0, 2/3, 0, 1/3, 0, 0, 1/3, 0}, {2/3, 1/3, 0, 0, 0, 1/3, 2/3, 1/3, 0}, 
   {0, 1, 1/3, 0, 1/3, 0, 0, 0, 1}, {1, 0, 1/3, 1, 1/3, 0, 0, 0, 0}, 
   {0, 1/3, 0, 2/3, 0, 2/3, 1/3, 2/3, 0}, {0, 1, 0, 1/3, 0, 0, 1, 2/3, 0}, 
   {1, 0, 0, 0, 2/3, 1, 0, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1/2, 1/2, 0, 1/4, 0}, {1/2, 1, 1/2, 1/2, 0, 0, 0, 1/4, 0}, 
   {1/4, 0, 3/4, 0, 0, 0, 3/4, 0, 1}, {0, 3/4, 0, 3/4, 1/4, 1/4, 1/4, 0, 0}, 
   {0, 0, 1, 0, 0, 1/4, 0, 1, 0}, {1/4, 1, 0, 1, 0, 0, 0, 0, 1/4}, 
   {0, 1/4, 1/4, 0, 1/2, 1/4, 0, 1/4, 0}, {0, 1/4, 0, 0, 1/2, 1/2, 0, 0, 
    1/4}, {1/2, 0, 1/4, 0, 0, 0, 1/4, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/7, 1, 1, 0, 0, 6/7, 4/7}, {1, 5/7, 0, 2/7, 0, 1, 0, 0, 0}, 
   {3/7, 1/7, 0, 0, 0, 1, 6/7, 0, 4/7}, {0, 2/7, 4/7, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/7, 4/7, 0, 0, 0, 2/7}, {0, 0, 0, 0, 2/7, 0, 0, 2/7, 4/7}, 
   {0, 0, 5/7, 0, 0, 1, 0, 4/7, 0}, {0, 0, 1/7, 0, 2/7, 3/7, 4/7, 4/7, 0}, 
   {3/7, 1/7, 0, 5/7, 3/7, 0, 6/7, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1/2, 0, 1/2, 1, 1/2, 0, 1/2, 0, 0}, {1, 1/2, 0, 1, 0, 1, 0, 1, 1/2}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 1, 0, 1/3, 0, 1}, 
   {2/3, 0, 1/3, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 2/3, 1, 0}, 
   {0, 0, 1/3, 0, 1, 1/3, 0, 1}, {2/3, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 0, 1, 1, 1, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1, 1/2, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 1, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1/2, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 2/3, 0, 0, 0, 0, 0, 0}, 
   {1/3, 0, 2/3, 0, 0, 1/3, 2/3, 0, 1}, {0, 1, 0, 1, 0, 0, 1/3, 2/3, 0}, 
   {0, 1/3, 1/3, 0, 2/3, 2/3, 0, 1/3, 0}, {1/3, 2/3, 0, 0, 0, 0, 1/3, 0, 1}, 
   {2/3, 0, 1, 0, 0, 0, 0, 2/3, 0}, {0, 1/3, 0, 0, 1/3, 1/3, 0, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 0, 1/3, 1/3, 0}, {0, 0, 1/3, 1/3, 1/3, 0, 0, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 1/3, 1/3, 1/3, 0}, 
   {0, 0, 1/3, 1, 0, 0, 0, 1/3}, {0, 2/3, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 1, 0, 1/3, 1, 0}, {2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 2/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1/3, 1, 0, 2/3, 1, 0, 0, 1/3}, 
   {0, 0, 1/3, 0, 0, 1, 2/3, 0, 2/3}, {1/3, 1, 0, 2/3, 1, 0, 1/3, 2/3, 0}, 
   {0, 1/3, 0, 1/3, 0, 1/3, 0, 2/3, 0}, {2/3, 2/3, 0, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 1/3, 2/3, 0, 1/3, 0, 0}, {2/3, 0, 0, 0, 0, 1, 0, 2/3, 0}, 
   {0, 0, 1/3, 2/3, 1/3, 0, 0, 0, 2/3}, {2/3, 0, 1, 0, 0, 0, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 1, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/7, 3/7, 6/7, 0, 0, 0, 5/7, 1}, {5/7, 0, 0, 0, 0, 2/7, 3/7, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 3/7, 2/7, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {3/7, 0, 0, 4/7, 4/7, 0, 0, 3/7, 1}, {0, 1, 3/7, 0, 6/7, 2/7, 1/7, 0, 
    2/7}, {0, 0, 0, 0, 0, 4/7, 0, 4/7, 2/7}, {0, 0, 0, 2/7, 2/7, 0, 4/7, 2/7, 
    0}, {2/7, 0, 4/7, 0, 0, 4/7, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/7, 5/7, 0, 1, 2/7, 0, 4/7, 0}, {0, 1, 1, 2/7, 5/7, 0, 0, 0, 2/7}, 
   {1, 0, 0, 1/7, 0, 3/7, 4/7, 4/7, 0}, {1/7, 0, 0, 2/7, 3/7, 0, 6/7, 0, 
    4/7}, {0, 3/7, 1, 3/7, 0, 5/7, 2/7, 0, 0}, {1, 0, 0, 6/7, 3/7, 0, 0, 0, 
    4/7}, {2/7, 0, 0, 0, 0, 4/7, 0, 0, 4/7}, {6/7, 0, 0, 0, 4/7, 0, 4/7, 0, 
    0}, {0, 4/7, 0, 4/7, 0, 0, 0, 6/7, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {1, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 1, 1, 0, 1, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 2/3, 1, 0, 0, 2/3}, 
   {2/3, 1, 1/3, 0, 0, 1/3, 0, 0, 0}, {1, 1, 0, 1/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 2/3, 2/3, 1/3, 0, 0, 0, 0}, {1/3, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/3, 2/3, 2/3, 0, 0}, {0, 0, 2/3, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1/3, 1/3, 1/3, 0, 0, 2/3, 0}, {1/3, 0, 0, 0, 0, 0, 0, 2/3, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 2/3, 1, 0, 0}, 
   {1/3, 1, 0, 2/3, 0, 0, 0, 1/3, 1}, {0, 0, 1/3, 2/3, 0, 2/3, 1/3, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {1/3, 1/3, 0, 2/3, 2/3, 0, 1/3, 0, 0}, 
   {0, 0, 1/3, 0, 0, 2/3, 0, 1, 1}, {2/3, 0, 1/3, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/4, 0, 1/2, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1, 0, 1/4}, {3/4, 0, 3/4, 0, 1/2, 0, 0, 1, 0}, 
   {0, 3/4, 0, 0, 3/4, 1/4, 0, 1/4, 0}, {0, 0, 1/2, 3/4, 3/4, 0, 1/4, 0, 1}, 
   {1/4, 0, 0, 1/4, 0, 1/4, 0, 1/2, 3/4}, {0, 0, 1/4, 1/4, 0, 1/4, 1/2, 1/4, 
    0}, {1/2, 0, 0, 1/4, 1/2, 0, 3/4, 0, 0}, {0, 3/4, 0, 3/4, 0, 0, 0, 1/2, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 0, 2/3, 2/3}, {1, 0, 2/3, 0, 1, 0, 0, 0}, 
   {0, 1/3, 1, 1, 0, 0, 0, 2/3}, {2/3, 1/3, 0, 0, 1/3, 0, 0, 0}, 
   {1, 0, 1/3, 1/3, 0, 0, 2/3, 0}, {0, 1/3, 0, 0, 1, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 3/4, 0, 1/4, 0, 0, 0, 0}, 
   {0, 1/4, 0, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 0, 3/4, 0, 1/2, 0, 1/4}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/4, 0, 0, 1/4, 0, 1, 1/4, 0, 1}, {0, 0, 0, 3/4, 1/4, 0, 0, 0, 1}, 
   {0, 1/4, 0, 1/2, 0, 1, 1/4, 0, 0}, {1/2, 0, 1/4, 0, 0, 0, 0, 3/4, 3/4}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 1/3, 0, 0, 0, 1, 0, 2/3}, 
   {0, 2/3, 0, 1/3, 0, 0, 0, 1/3, 1}, {0, 0, 2/3, 0, 1/3, 1/3, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 2/3, 1/3, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/3, 0, 0, 0, 0, 2/3, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 2/3, 0, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 1, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 0, 1/3, 0, 1, 0, 2/3}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1/3, 2/3, 1, 1/3, 0, 2/3}, {2/3, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {2/3, 2/3, 0, 0, 1, 0, 0, 1/3, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/4, 3/4, 1/2, 0, 3/4, 0, 1/2, 0}, {1/2, 1/2, 3/4, 0, 0, 0, 1/4, 0, 
    1/4}, {1/2, 0, 0, 1/2, 0, 0, 1/4, 0, 3/4}, {1/4, 0, 1/4, 1/4, 1/2, 0, 0, 
    1/4, 0}, {0, 1/4, 1/2, 1/2, 1/2, 0, 0, 0, 1/4}, 
   {3/4, 1/4, 0, 0, 0, 1/4, 0, 1, 0}, {0, 0, 1/4, 0, 1/2, 3/4, 0, 0, 0}, 
   {0, 1/4, 0, 0, 1/4, 0, 1/2, 1/2, 0}, {0, 1/4, 0, 0, 0, 1/2, 3/4, 0, 1/4}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 0, 0, 4/7}, 
   {0, 0, 1, 1/7, 0, 1/7, 4/7, 6/7, 0}, {3/7, 1/7, 4/7, 4/7, 3/7, 0, 0, 6/7, 
    0}, {0, 2/7, 2/7, 0, 0, 0, 2/7, 0, 2/7}, {0, 0, 0, 2/7, 0, 4/7, 0, 0, 0}, 
   {0, 0, 0, 2/7, 0, 0, 4/7, 0, 0}, {0, 0, 5/7, 0, 3/7, 2/7, 0, 0, 4/7}, 
   {1, 1, 0, 5/7, 0, 3/7, 0, 4/7, 0}, {0, 0, 1, 0, 1/7, 0, 2/7, 0, 6/7}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 0}, {2/3, 1/3, 2/3, 0, 1/3, 0, 0, 2/3}, 
   {1/3, 0, 1, 1, 0, 2/3, 2/3, 0}, {0, 1, 0, 0, 1, 2/3, 0, 0}, 
   {1, 0, 0, 0, 1, 2/3, 0, 0}, {1, 0, 0, 2/3, 1, 0, 0, 0}, 
   {0, 1/3, 1, 1/3, 0, 0, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1, 0, 1, 0, 1/2, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, {1/2, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 2/3, 1, 0, 0}, 
   {2/3, 1, 1/3, 0, 0, 0, 1/3, 0, 2/3}, {1, 0, 0, 0, 2/3, 0, 0, 1/3, 1/3}, 
   {1/3, 2/3, 0, 2/3, 2/3, 0, 1/3, 0, 0}, {1, 0, 0, 2/3, 0, 2/3, 1/3, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/3, 1/3, 0, 0, 2/3, 2/3, 0}, {0, 1/3, 1/3, 1, 0, 2/3, 0, 2/3, 0}, 
   {1, 0, 0, 0, 1/3, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 1, 1, 0, 1/3, 1/3, 0, 0, 2/3}, {0, 1/3, 1/3, 2/3, 1/3, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 1/3, 0, 2/3, 0, 2/3, 0, 1/3}, {1, 0, 2/3, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 0, 1/3}, {0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1/3, 1}, 
   {1/3, 1/3, 0, 0, 2/3, 0, 1/3, 0, 0}, {2/3, 0, 1, 0, 2/3, 0, 1/3, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 2/3, 0}, {1, 1/3, 0, 0, 0, 2/3, 0, 1/3, 1/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0, 2/3}, {2/3, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 2/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/3, 0, 0, 0, 1/3, 2/3, 0, 0}, {0, 0, 1, 1/3, 1, 0, 0, 0, 2/3}, 
   {0, 2/3, 1, 0, 0, 1/3, 0, 0, 0}, {1/3, 1/3, 0, 1/3, 1, 0, 0, 0, 2/3}, 
   {0, 0, 1, 0, 2/3, 1/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, {1, 1/2, 0, 1/2, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 1, 0, 0, 1, 0, 1/2}, {1, 1/2, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/2, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1/2, 1}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 1/3, 1, 0, 0, 0, 1}, 
   {0, 0, 2/3, 0, 1, 1, 1/3, 0}, {0, 0, 1, 1/3, 0, 2/3, 0, 1}, 
   {0, 0, 1/3, 1, 0, 1, 1/3, 0}, {0, 0, 2/3, 0, 1, 0, 0, 1}, 
   {2/3, 0, 0, 0, 1/3, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 3/5, 1, 0, 1/5, 0, 1}, {4/5, 0, 0, 0, 0, 3/5, 0, 1, 0}, 
   {0, 4/5, 4/5, 0, 0, 0, 0, 2/5, 0}, {0, 2/5, 0, 2/5, 2/5, 0, 4/5, 0, 0}, 
   {0, 0, 0, 2/5, 0, 0, 4/5, 0, 2/5}, {0, 0, 0, 0, 0, 1, 1/5, 0, 3/5}, 
   {4/5, 0, 0, 1/5, 1/5, 0, 0, 1, 2/5}, {0, 0, 2/5, 1/5, 3/5, 0, 4/5, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 2/3, 0, 0, 0, 1/3, 0, 0, 1}, {1/3, 0, 1, 0, 0, 1/3, 2/3, 1/3, 0}, 
   {0, 1/3, 1/3, 0, 1/3, 0, 0, 1/3, 2/3}, {2/3, 0, 1, 1/3, 0, 1/3, 0, 0, 
    2/3}, {1/3, 1, 0, 0, 1/3, 0, 2/3, 2/3, 0}, {0, 1/3, 2/3, 0, 0, 1/3, 2/3, 
    0, 2/3}, {1/3, 0, 0, 1/3, 2/3, 0, 1/3, 0, 0}, 
   {1/3, 0, 0, 0, 1/3, 0, 1/3, 1/3, 0}, {0, 1/3, 0, 1/3, 0, 0, 0, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/7, 0, 2/7, 0, 0, 4/7, 1/7, 3/7, 6/7}, {1, 4/7, 0, 0, 0, 0, 1, 1/7, 0}, 
   {0, 1/7, 3/7, 4/7, 0, 4/7, 0, 0, 1}, {0, 1/7, 1, 0, 0, 0, 3/7, 3/7, 0}, 
   {1/7, 2/7, 0, 2/7, 2/7, 2/7, 0, 0, 5/7}, {3/7, 0, 0, 4/7, 0, 0, 0, 2/7, 
    1}, {0, 2/7, 0, 0, 0, 0, 4/7, 4/7, 0}, {0, 2/7, 0, 2/7, 4/7, 0, 0, 4/7, 
    0}, {0, 0, 4/7, 0, 4/7, 0, 2/7, 0, 2/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 1, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, 
   {1, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 1, 0, 0, 1/3, 0, 0, 0, 2/3}, 
   {0, 1, 0, 0, 1, 0, 2/3, 0, 2/3}, {1, 0, 1/3, 1/3, 0, 1, 0, 0, 0}, 
   {0, 0, 2/3, 1/3, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 1/3, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 1/3, 0, 2/3, 0, 0, 0}, {0, 1, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {1/3, 0, 1, 1/3, 1, 0, 0, 0, 0}, {0, 1, 0, 2/3, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 3/4, 0, 0, 3/4, 0, 0, 0}, 
   {0, 3/4, 0, 3/4, 3/4, 0, 1/2, 0, 0}, {1/2, 0, 0, 3/4, 0, 0, 0, 0, 3/4}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 0, 1/4, 0, 1/4, 3/4, 0, 0, 3/4}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 1/4, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1/4, 1, 0, 1/4, 3/4, 3/4, 0}, {1/4, 1, 0, 0, 3/4, 1/4, 0, 0, 
    1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 0, 1/3, 0, 1/3}, {0, 1/3, 1/3, 1/3, 0, 1/3, 0, 0, 0}, 
   {1/3, 0, 0, 2/3, 1/3, 0, 0, 0, 0}, {1, 2/3, 0, 1/3, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1/3, 0, 1, 2/3}, {0, 1, 1, 0, 1, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 2/3, 1, 0}, {0, 2/3, 2/3, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 2/3, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1/2, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1, 1}, 
   {0, 1/2, 0, 0, 1, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1, 1}, {0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 1, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1, 1/2, 1/2, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, {0, 1/2, 1, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 1/2}, 
   {1/2, 1, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/4, 0, 7/8, 1/2, 0, 1/4, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/4, 0, 1/4, 
    7/8}, {3/8, 1/4, 1/4, 0, 0, 0, 1/4, 0, 1/2}, {0, 0, 3/4, 1/2, 0, 0, 0, 0, 
    1/2}, {1/2, 0, 1/2, 0, 0, 1/4, 0, 0, 0}, {1/8, 0, 0, 0, 1/2, 3/4, 1/2, 0, 
    0}, {3/4, 1/2, 0, 1/2, 0, 0, 0, 1/4, 1/4}, {0, 1/4, 1/4, 0, 0, 1/2, 1/2, 
    5/8, 0}, {0, 0, 0, 0, 0, 1/4, 1/2, 3/4, 1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1/2, 1, 1, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 1, 1}, {0, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {1/2, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 1, 0, 0, 0, 1/3, 1/3}, {0, 0, 0, 0, 1/3, 1/3, 1, 0, 0}, 
   {0, 0, 0, 1, 2/3, 0, 1, 0, 0}, {2/3, 2/3, 0, 1/3, 0, 0, 1, 0, 0}, 
   {2/3, 0, 0, 0, 1/3, 1, 0, 1, 1/3}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 0, 0, 2/3, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 1, 0, 1}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 1}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 1, 0, 0, 0, 1, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 1}, {0, 0, 0, 1/2, 0, 1/2, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1/2, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/4, 1/2, 0, 0, 0, 0}, 
   {1/4, 0, 0, 0, 1/2, 1, 0, 1/4, 0}, {0, 1, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1/4, 1/2, 1/2, 0, 0, 1/4, 0, 1/4}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 1/4, 1}, 
   {1, 0, 1, 0, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {1, 1/2, 0, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 1, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/7, 3/7, 0, 0, 4/7, 0, 0, 4/7}, 
   {4/7, 0, 2/7, 1/7, 0, 0, 0, 5/7, 0}, {0, 0, 0, 1/7, 4/7, 0, 2/7, 1, 0}, 
   {3/7, 1, 0, 0, 0, 0, 3/7, 4/7, 0}, {5/7, 6/7, 0, 0, 1/7, 1/7, 0, 4/7, 0}, 
   {0, 0, 0, 4/7, 1, 0, 1/7, 0, 0}, {0, 0, 5/7, 3/7, 0, 1, 1/7, 0, 0}, 
   {1/7, 0, 4/7, 1/7, 0, 6/7, 0, 1/7, 1/7}, {3/7, 2/7, 0, 0, 0, 0, 4/7, 0, 
    1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1, 1, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 1/3, 1/3, 0, 0, 0, 1/3, 1/3}, {0, 2/3, 1, 0, 1, 0, 2/3, 0, 1}, 
   {1, 0, 0, 1/3, 0, 1/3, 0, 2/3, 0}, {0, 1/3, 2/3, 1/3, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 1/3, 1/3, 0}, {1/3, 0, 0, 0, 0, 0, 1, 0, 2/3}, 
   {2/3, 1/3, 0, 0, 1/3, 1/3, 0, 0, 0}, {0, 2/3, 1/3, 2/3, 0, 2/3, 1/3, 0, 
    0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1/3, 1, 0, 1/3, 0, 1}, 
   {0, 2/3, 1/3, 1/3, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1/3, 0, 1}, 
   {0, 0, 1/3, 1, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/4, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 3/4, 0, 0, 0, 1/4, 
    1/4}, {3/4, 1/4, 0, 3/4, 0, 1/4, 0, 0, 0}, {0, 0, 3/4, 3/4, 1/2, 0, 0, 0, 
    0}, {3/4, 1/4, 0, 0, 0, 3/4, 0, 0, 0}, {1/4, 1/4, 0, 0, 0, 1/4, 1/4, 1/2, 
    0}, {0, 1/2, 1, 1/4, 0, 1, 0, 0, 0}, {1, 1, 0, 3/4, 1, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 3/4, 1/4, 1/4, 3/4, 1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1, 1/2, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 1/2}, {1, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 1/3, 0, 0, 2/3, 1/3, 0, 1/3, 2/3}, {1, 0, 0, 1, 1, 0, 1/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 1, 1/3, 0, 0}, {0, 1, 2/3, 1/3, 1/3, 0, 0, 1/3, 0}, 
   {2/3, 0, 1/3, 0, 0, 1, 0, 0, 0}, {0, 0, 1/3, 1/3, 1/3, 0, 2/3, 0, 0}, 
   {0, 0, 1/3, 0, 0, 0, 2/3, 1/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1/2, 0, 1/2, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {1, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1}, {0, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/3, 0, 0, 0, 1/3, 1/3}, 
   {2/3, 0, 2/3, 0, 0, 1/3, 0, 0, 0}, {0, 1/3, 0, 2/3, 2/3, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/3, 0, 0, 1, 1}, {0, 0, 1, 1/3, 1/3, 0, 0, 2/3, 0}, 
   {0, 1, 0, 0, 1/3, 1, 0, 0, 0}, {2/3, 2/3, 0, 1/3, 0, 1/3, 0, 0, 0}, 
   {1, 1, 0, 1/3, 0, 0, 0, 0, 0}, {1/3, 0, 1/3, 0, 0, 0, 1, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/3, 0, 2/3, 1/3, 0, 0, 0}, 
   {1/3, 1, 0, 1/3, 1, 0, 0, 0, 0}, {2/3, 0, 1, 0, 0, 1, 0, 2/3, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 1/3, 0, 0, 1/3, 1, 1/3, 1}, 
   {1/3, 1, 0, 2/3, 0, 1, 0, 0, 0}, {2/3, 0, 1, 1/3, 1, 0, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1, 0, 0, 1, 1}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, {1, 0, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1/2}, {0, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 1, 1/2, 0, 1/2, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 0, 1, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 1/3, 2/3}, {0, 1, 2/3, 0, 0, 1, 0, 1}, 
   {1/3, 0, 2/3, 0, 2/3, 0, 1, 0}, {1, 0, 2/3, 0, 0, 1/3, 0, 1}, 
   {0, 1/3, 0, 2/3, 0, 0, 1, 0}, {0, 1/3, 0, 2/3, 2/3, 0, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1/2, 1, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 1, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1/3, 0, 0, 0, 1/3}, 
   {2/3, 1, 0, 0, 1, 1, 0, 0, 0}, {1/3, 0, 1, 1, 0, 0, 0, 1/3, 0}, 
   {1/3, 0, 1, 0, 1/3, 1/3, 0, 0, 0}, {2/3, 1/3, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/3, 0, 1/3, 1/3, 0, 2/3}, {0, 0, 2/3, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 1/3, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 1}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 1/2}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1, 1/2, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 1}, {0, 1, 1, 1, 0, 1, 1/2, 0, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 1, 7/8}, {0, 0, 3/8, 1, 0, 1/2, 1/2, 0, 1}, 
   {3/4, 3/4, 0, 1/8, 1/4, 0, 1, 1/8, 0}, {0, 0, 3/4, 0, 3/8, 0, 3/8, 0, 0}, 
   {3/8, 0, 0, 3/4, 0, 3/4, 0, 0, 0}, {0, 0, 0, 3/8, 0, 0, 0, 3/8, 3/4}, 
   {0, 3/8, 0, 0, 5/8, 1/2, 5/8, 0, 1/8}, {0, 0, 3/4, 1/8, 0, 1/4, 1/2, 1, 
    0}, {0, 0, 0, 5/8, 1/2, 0, 0, 1/2, 1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 1, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0, 1/2}, {0, 1, 0, 0, 1, 0, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 0, 1/2, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1/2, 1, 0}, {1/2, 0, 1, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1, 1, 0, 0, 1, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1/2, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1/2, 1, 0, 0, 1/2, 0, 1/2}, {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 0, 1, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 1, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 1/3, 0, 0, 2/3, 2/3, 1/3, 0, 1/3}, 
   {1/3, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 2/3, 0, 1, 0, 1, 0}, 
   {2/3, 0, 1/3, 1/3, 1, 0, 0, 0, 0}, {0, 1/3, 0, 0, 2/3, 1/3, 0, 1/3, 1/3}, 
   {2/3, 0, 0, 1/3, 0, 0, 0, 0, 1}, {1/3, 0, 2/3, 0, 1, 0, 0, 1/3, 0}, 
   {1/3, 1, 0, 2/3, 0, 2/3, 0, 1, 0}, {0, 0, 1, 1/3, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 2/3, 2/3, 0, 0, 1, 1/3}, {0, 0, 1/3, 2/3, 0, 0, 1, 2/3, 0}, 
   {0, 2/3, 1/3, 0, 0, 2/3, 0, 1, 1/3}, {1, 1, 0, 0, 2/3, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1/2, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1, 1, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 1, 0, 0, 1/2, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 0, 1, 0}, {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 0, 0, 1, 0, 1/2, 1/2, 0, 1}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/4, 0, 0, 1/2, 1/4}, {1/4, 0, 0, 0, 0, 1, 1/4, 3/4, 0}, 
   {1/2, 0, 0, 0, 3/4, 0, 1, 0, 1}, {0, 0, 0, 3/4, 0, 3/4, 0, 1/4, 3/4}, 
   {0, 1, 0, 1, 1/4, 0, 0, 0, 0}, {0, 3/4, 1, 0, 0, 0, 0, 1/4, 0}, 
   {1/2, 0, 1, 0, 0, 0, 3/4, 0, 1/4}, {1, 1/4, 0, 0, 3/4, 0, 0, 1, 0}, 
   {0, 0, 0, 1/4, 0, 1, 3/4, 0, 3/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 0}, {0, 1/2, 1/2, 1, 0, 1/2, 0, 1, 0}, 
   {1/2, 1, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 1, 2/3, 0, 1/3, 0, 0, 0}, {1/3, 0, 0, 1, 1/3, 0, 0, 0, 2/3}, 
   {0, 1, 1, 0, 0, 1/3, 0, 0, 0}, {1, 2/3, 0, 0, 0, 1, 2/3, 0, 0}, 
   {0, 1/3, 1/3, 1, 1, 0, 0, 2/3, 0}, {1/3, 0, 0, 0, 0, 1, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 2/3, 1/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/3, 2/3, 2/3, 0}, {0, 0, 1/3, 0, 1, 0, 2/3, 0, 0}, 
   {1/3, 1/3, 0, 1, 0, 1/3, 0, 0, 2/3}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1/3, 1, 0, 0, 1/3, 1/3, 0, 2/3, 2/3}, {0, 0, 1/3, 1, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 1/3, 1/3, 0, 0, 0, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 2/3, 1, 2/3, 0, 0, 0, 1/3}, {0, 2/3, 1/3, 0, 0, 2/3, 0, 1/3}, 
   {0, 0, 0, 1/3, 1, 1, 1/3, 0}, {0, 0, 0, 1/3, 1, 0, 2/3, 1}, 
   {2/3, 0, 1, 0, 0, 1/3, 1/3, 0}, {0, 0, 1, 0, 2/3, 1/3, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 3/7, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 3/7, 0, 0}, {0, 1, 2/7, 0, 5/7, 5/7, 0, 3/7, 2/7}, 
   {1, 2/7, 0, 4/7, 0, 0, 1/7, 1, 0}, {5/7, 0, 1, 1, 0, 3/7, 0, 0, 2/7}, 
   {0, 5/7, 1, 5/7, 0, 0, 2/7, 2/7, 0}, {2/7, 1, 0, 2/7, 0, 0, 3/7, 0, 1}, 
   {1, 0, 2/7, 0, 1, 4/7, 0, 0, 1/7}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 3/4, 0, 1/4, 0, 1, 0, 0, 1}, 
   {1, 0, 3/4, 0, 1/4, 0, 1, 0, 0}, {1/2, 0, 0, 0, 1/4, 1/2, 1/2, 0, 1/4}, 
   {0, 0, 1/2, 1/4, 0, 0, 1, 1, 0}, {0, 0, 0, 3/4, 1, 0, 0, 0, 0}, 
   {3/4, 0, 3/4, 0, 1/4, 0, 0, 0, 1/4}, {0, 3/4, 0, 0, 0, 1/4, 0, 1/4, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 0}, {0, 1/3, 0, 0, 0, 0, 2/3, 0, 1}, 
   {2/3, 1, 0, 0, 0, 2/3, 0, 0, 1/3}, {1, 0, 1, 0, 2/3, 0, 1, 1/3, 0}, 
   {1/3, 0, 1/3, 2/3, 0, 2/3, 2/3, 0, 1/3}, {1/3, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 2/3, 2/3, 0, 1/3, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 2/3, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {0, 1/3, 0, 2/3, 0, 1/3, 0, 2/3, 0}, {1/3, 0, 1/3, 1, 1/3, 0, 0, 0, 0}, 
   {2/3, 1/3, 0, 0, 0, 1/3, 0, 0, 2/3}, {0, 1/3, 0, 1/3, 1, 0, 0, 0, 2/3}, 
   {1/3, 0, 1/3, 0, 0, 1, 2/3, 2/3, 0}, {0, 1/3, 0, 1/3, 1/3, 0, 2/3, 0, 
    2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 2/3, 2/3, 0, 0, 1, 0}, {2/3, 1, 0, 1/3, 0, 1/3, 1, 0, 0}, 
   {0, 0, 0, 0, 2/3, 1, 1, 0, 1/3}, {1/3, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/3, 1, 0, 0, 0, 0}, {0, 0, 1, 1/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1/3}, {0, 0, 2/3, 1, 1/3, 0, 1, 0, 1}, 
   {1/3, 0, 0, 1/3, 0, 2/3, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, {1, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 1, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 1/2, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1/2, 0, 1/2, 1}, {1/2, 0, 1, 1, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 1/2}, {0, 1, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1, 1, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1/3, 0, 1/3, 1/3, 0, 0, 1/3}, 
   {0, 2/3, 0, 0, 1/3, 0, 2/3, 0, 2/3}, {1/3, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 1/3, 1/3, 0, 0, 2/3, 1/3}, {2/3, 0, 2/3, 1/3, 0, 0, 0, 0, 0}, 
   {1/3, 1/3, 0, 0, 1/3, 0, 0, 1, 0}, {0, 0, 0, 0, 1/3, 1/3, 2/3, 0, 2/3}, 
   {1/3, 1, 0, 2/3, 0, 1/3, 0, 0, 0}, {0, 1, 0, 1/3, 0, 1/3, 1/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 1/3, 1/3, 0}, 
   {0, 0, 1/3, 1/3, 0, 0, 0, 1/3}, {0, 0, 1/3, 2/3, 0, 0, 1, 2/3}, 
   {0, 0, 1, 0, 2/3, 2/3, 1/3, 0}, {0, 2/3, 0, 1/3, 1/3, 1/3, 0, 1}, 
   {0, 0, 1/3, 0, 1, 0, 1/3, 1}, {0, 0, 0, 1, 0, 1, 2/3, 0}, 
   {2/3, 0, 0, 1/3, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/3, 0, 1/3, 1, 0, 0, 0, 2/3}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {1/3, 0, 0, 2/3, 1/3, 0, 2/3, 0}, {1, 0, 2/3, 0, 1, 0, 0, 0}, 
   {0, 1, 1/3, 1, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1, 0, 1/2, 1, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1, 1/2, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1, 1/2, 0}, {0, 0, 1, 1, 0, 1/2, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 0, 1, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 1, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 0, 1}, {1, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 1, 1, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 1, 0, 1/3, 0, 1, 1}, {2/3, 2/3, 0, 0, 1/3, 0, 1/3, 2/3, 0}, 
   {2/3, 0, 2/3, 2/3, 1/3, 0, 1/3, 0, 0}, {0, 2/3, 0, 1/3, 0, 1/3, 1, 0, 0}, 
   {2/3, 0, 0, 0, 1/3, 0, 0, 1, 1/3}, {0, 2/3, 0, 0, 1, 0, 0, 1/3, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1}, {1/2, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/5, 1/5, 0, 4/5, 1/5}, 
   {0, 0, 1/5, 1, 0, 1/5, 0, 0, 1/5}, {2/5, 0, 2/5, 1/5, 0, 0, 4/5, 1/5, 0}, 
   {0, 0, 1, 0, 2/5, 2/5, 0, 2/5, 3/5}, {3/5, 1, 0, 4/5, 0, 0, 1/5, 1/5, 0}, 
   {4/5, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 3/5, 1/5, 1/5, 0, 4/5, 0, 0}, 
   {1, 0, 0, 0, 3/5, 3/5, 0, 1/5, 4/5}, {1/5, 0, 3/5, 1/5, 0, 0, 3/5, 1/5, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1/3, 0, 1, 0, 1, 2/3, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1/3, 1, 0, 1/3, 0, 2/3, 0}, {1/3, 1, 0, 0, 1/3, 0, 0, 0, 0}, 
   {1/3, 1/3, 0, 0, 1/3, 0, 2/3, 0, 0}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 2/3, 2/3}, {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 1, 0, 0, 1/2}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 3/5, 0, 1/5, 1, 0, 0, 2/5, 2/5}, {1, 0, 1/5, 0, 0, 1, 4/5, 4/5, 0}, 
   {2/5, 1, 0, 1/5, 3/5, 0, 2/5, 0, 0}, {0, 0, 2/5, 1/5, 2/5, 0, 2/5, 2/5, 
    0}, {0, 0, 0, 3/5, 0, 4/5, 0, 0, 4/5}, {0, 0, 4/5, 1/5, 0, 0, 2/5, 0, 0}, 
   {3/5, 0, 1/5, 0, 1/5, 0, 0, 0, 4/5}, {3/5, 0, 3/5, 4/5, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1/5, 0, 3/5, 0, 2/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 1/2}, 
   {1, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {1, 0, 1/2, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 0, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 1/3, 0, 1/3, 0}, {0, 0, 0, 0, 1, 2/3, 2/3, 0, 2/3}, 
   {0, 1/3, 0, 1/3, 2/3, 0, 1/3, 0, 0}, {0, 0, 1/3, 0, 1, 1/3, 0, 0, 0}, 
   {2/3, 2/3, 0, 1/3, 0, 0, 1/3, 0, 1/3}, {1, 1/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 1, 0, 1/3, 0, 0, 1/3}, {2/3, 1/3, 0, 1/3, 0, 0, 0, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/3, 1/3, 0, 0}, 
   {1, 0, 0, 1/3, 0, 0, 0, 1, 1/3}, {1/3, 0, 1/3, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, {2/3, 1, 0, 0, 1/3, 1/3, 0, 1/3, 1/3}, 
   {0, 0, 0, 1/3, 0, 1, 1, 0, 2/3}, {0, 1, 2/3, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 1/2, 1, 1, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, {0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1, 0, 1/2, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1, 1/2, 0}, {1/2, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {1, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 1, 0}, {1, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 1/2, 1/2}, {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1/2, 1, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, {1, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1, 1, 0, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {1, 0, 1, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/3, 2/3, 0, 0, 0, 1}, {1/3, 1/3, 0, 0, 1/3, 1, 0, 1/3, 0}, 
   {2/3, 0, 1/3, 0, 0, 2/3, 1/3, 0, 0}, {0, 0, 0, 2/3, 0, 1/3, 1/3, 0, 1/3}, 
   {2/3, 0, 1, 0, 0, 0, 0, 1/3, 1}, {0, 1/3, 0, 1, 0, 0, 1/3, 1/3, 0}, 
   {0, 2/3, 1/3, 0, 0, 2/3, 0, 1/3, 1/3}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 1, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{4/5, 4/5, 0, 0, 4/5, 4/5, 2/5, 0, 0}, {4/5, 0, 4/5, 4/5, 0, 0, 0, 0, 0}, 
   {2/5, 2/5, 2/5, 0, 0, 0, 0, 2/5, 2/5}, {0, 2/5, 0, 1, 0, 0, 0, 0, 1/5}, 
   {0, 0, 0, 3/5, 0, 2/5, 0, 2/5, 1/5}, {0, 0, 4/5, 0, 1/5, 1/5, 3/5, 1/5, 
    0}, {0, 4/5, 0, 1/5, 0, 0, 3/5, 1/5, 0}, {0, 0, 0, 0, 1, 3/5, 0, 0, 1/5}, 
   {0, 2/5, 0, 0, 1/5, 1/5, 2/5, 0, 1/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, {1, 0, 1/2, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1/3, 0, 1}, 
   {0, 2/3, 0, 0, 1/3, 1/3, 0, 1/3, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 0, 2/3}, {2/3, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 1, 2/3, 0, 0, 1/3, 0}, {2/3, 0, 2/3, 0, 1, 1/3, 1/3, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 0, 0, 2/3, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 1, 1/2, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, {1, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1/2, 1/2, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 1/2, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 1, 0, 1}, {0, 1/2, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 1, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 1/2}, 
   {1, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1, 1/2, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 2/5, 2/5}, 
   {0, 0, 2/5, 0, 0, 0, 0, 0}, {3/5, 0, 0, 1/5, 2/5, 2/5, 4/5, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 3/5, 0, 1, 2/5, 0, 4/5}, 
   {0, 3/5, 0, 1/5, 2/5, 2/5, 4/5, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 3/5, 0, 1, 2/5, 0, 4/5}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1/2, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1, 0, 1/2}, {0, 1/2, 0, 1/2, 1, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 1/2, 0}, {0, 1, 0, 1, 0, 1/2, 0, 1, 1}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1/2, 0, 1/2, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 4/9, 0, 0, 5/9, 7/9, 2/9, 0, 5/9}, 
   {0, 4/9, 0, 5/9, 0, 0, 1/3, 7/9, 0}, {1/9, 1/3, 1/3, 1/3, 0, 0, 0, 4/9, 
    1/9}, {2/9, 0, 0, 2/9, 2/3, 0, 0, 2/9, 0}, {0, 2/9, 4/9, 0, 0, 0, 4/9, 0, 
    8/9}, {4/9, 0, 4/9, 0, 2/9, 2/9, 0, 0, 2/9}, 
   {0, 0, 2/9, 0, 1/9, 7/9, 1/3, 1, 0}, {4/9, 4/9, 0, 5/9, 0, 2/3, 0, 0, 
    1/3}, {4/9, 0, 0, 5/9, 0, 0, 2/3, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 1}, {1, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1/2, 0, 1/2, 0, 1}, {0, 1, 1, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1/2, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1, 0, 1, 1/2}, 
   {1/2, 1, 0, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 3/4, 0, 1/4, 0, 0, 3/4, 1/4}, 
   {0, 1/2, 0, 3/4, 1/2, 0, 0, 3/4, 0}, {1/4, 0, 0, 3/4, 0, 3/4, 1/2, 0, 1}, 
   {1, 1/4, 0, 0, 1/4, 3/4, 0, 1/4, 1/4}, {1/2, 0, 0, 1/4, 0, 1, 1/4, 3/4, 
    0}, {0, 1/4, 1/4, 0, 1/2, 0, 1, 0, 3/4}, {0, 0, 1/2, 0, 0, 1/4, 1/4, 1/4, 
    0}, {1/4, 0, 0, 0, 1/2, 0, 1/4, 0, 0}, {0, 1/4, 1/4, 0, 0, 0, 0, 1/4, 
    1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 0, 1, 0}, {0, 1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1, 1/2, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1, 1/2}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1/2, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 0, 0, 1/5, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1/5, 1, 0}, 
   {0, 0, 4/5, 0, 0, 0, 2/5, 0, 4/5}, {2/5, 0, 4/5, 0, 2/5, 0, 0, 0, 2/5}, 
   {0, 0, 0, 4/5, 0, 0, 4/5, 0, 0}, {0, 2/5, 0, 1/5, 0, 1, 1/5, 1, 0}, 
   {2/5, 4/5, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 4/5, 1, 0, 4/5, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, {1/2, 1/2, 0, 1/2, 1, 0, 1/2, 0, 1/2}, 
   {0, 1, 0, 1, 0, 1/2, 0, 0, 1/2}, {1, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 2/3, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 1/3, 1, 0, 1/3, 1}, 
   {0, 2/3, 0, 1, 0, 0, 1, 2/3, 0}, {2/3, 0, 0, 1/3, 0, 0, 1/3, 0, 2/3}, 
   {0, 2/3, 2/3, 1/3, 0, 0, 0, 1/3, 1/3}, {0, 0, 2/3, 0, 1/3, 1/3, 1/3, 0, 
    0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1/2, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {1, 0, 0, 0, 1, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 1/2, 0, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 1/2, 0, 1}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 0, 1, 1/2}, {1/2, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1}, {0, 1/2, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/5, 1/5, 0, 0, 4/5, 2/5}, {0, 0, 0, 1/5, 4/5, 2/5, 0, 2/5}, 
   {3/5, 2/5, 0, 0, 1/5, 0, 2/5, 0}, {0, 1/5, 1, 3/5, 0, 0, 0, 2/5}, 
   {3/5, 0, 0, 2/5, 1/5, 0, 4/5, 2/5}, {1/5, 0, 1/5, 0, 2/5, 2/5, 0, 0}, 
   {0, 3/5, 0, 1/5, 1, 0, 0, 0}, {1/5, 0, 1/5, 0, 0, 4/5, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 3/4, 1/2, 0, 1/4, 1/4, 1/4, 0, 3/4}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 1, 0}, {3/4, 0, 1/4, 0, 0, 1, 0, 1/4, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 1, 0, 3/4, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 1/3, 0, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 0, 1/3, 0, 0, 0}, {1/3, 2/3, 1, 0, 1/3, 2/3, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1/3, 1/3, 2/3, 0}, {1/3, 0, 1, 0, 1, 0, 0, 2/3, 0}, 
   {1/3, 1, 0, 0, 1, 1/3, 0, 0, 0}, {2/3, 0, 1, 1, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 1/3, 1/3, 0, 2/3, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1}, 
   {1, 0, 1, 1/2, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 2/3, 0, 1}, {0, 1, 1/3, 0, 0, 0, 0, 0}, 
   {1, 0, 1/3, 0, 0, 0, 0, 0}, {0, 0, 1/3, 0, 1, 0, 0, 1}, 
   {2/3, 0, 0, 1/3, 0, 1/3, 1/3, 0}, {0, 0, 2/3, 1, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 0, 0, 1/3, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 1/2, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 1, 1, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/9, 0, 5/9, 0, 1/9, 7/9, 4/9, 4/9, 0}, 
   {0, 1, 0, 1, 0, 0, 4/9, 0, 4/9}, {1/3, 0, 1, 0, 1/3, 7/9, 0, 2/9, 0}, 
   {0, 1/3, 0, 1/9, 0, 2/9, 1/3, 1, 1/3}, {1, 0, 5/9, 7/9, 4/9, 0, 0, 0, 0}, 
   {4/9, 7/9, 0, 0, 1, 5/9, 0, 0, 4/9}, {0, 0, 0, 0, 0, 4/9, 2/9, 0, 4/9}, 
   {0, 0, 4/9, 0, 0, 0, 2/9, 0, 4/9}, {4/9, 2/9, 0, 0, 2/9, 0, 0, 4/9, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/7, 0, 0, 2/7, 1, 4/7, 0, 3/7}, 
   {0, 0, 4/7, 0, 0, 1, 0, 0, 5/7}, {4/7, 4/7, 0, 3/7, 1/7, 0, 3/7, 3/7, 0}, 
   {0, 0, 4/7, 0, 2/7, 0, 2/7, 0, 0}, {0, 2/7, 0, 0, 0, 0, 0, 0, 6/7}, 
   {0, 0, 0, 4/7, 6/7, 0, 0, 0, 0}, {4/7, 2/7, 0, 0, 0, 1, 3/7, 1, 0}, 
   {0, 0, 4/7, 1, 1, 0, 0, 0, 3/7}, {2/7, 0, 0, 2/7, 0, 1, 5/7, 5/7, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 1, 0, 0, 1, 1/3}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 2/3}, {2/3, 0, 2/3, 1/3, 0, 1, 1/3, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 0}, {0, 2/3, 2/3, 0, 1, 0, 1/3, 0, 0}, 
   {0, 0, 0, 2/3, 1, 0, 1, 0, 2/3}, {0, 2/3, 0, 1/3, 0, 1, 0, 1, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 2/3, 2/3}, {0, 1, 1/3, 0, 2/3, 0, 0, 1/3, 1/3}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1/3}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/3, 1, 2/3, 0, 2/3, 1/3, 0, 2/3}, {1/3, 0, 2/3, 0, 0, 0, 0, 1/3, 
    1/3}, {1/3, 0, 0, 2/3, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 1/2, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1, 1/3, 0, 1/3, 1/3, 1/3, 0, 0}, {0, 2/3, 0, 1/3, 0, 0, 1, 0, 2/3}, 
   {2/3, 0, 1, 0, 1/3, 0, 0, 1, 0}, {0, 2/3, 0, 1/3, 0, 0, 0, 1, 1/3}, 
   {0, 0, 0, 2/3, 1/3, 0, 1/3, 2/3, 0}, {2/3, 0, 2/3, 0, 1/3, 0, 1, 0, 0}, 
   {1/3, 2/3, 0, 0, 0, 0, 0, 1/3, 1/3}, {0, 0, 0, 0, 0, 2/3, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1/3, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1, 0, 1/2, 0, 0, 0}, {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 1/2, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {1, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 1, 1/2, 0, 1/2}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 1}, {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {1, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1/2}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1}, {1/2, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1/2, 0, 1, 0, 1, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 1, 1/2, 0, 0, 0}, {1, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 0, 1, 1, 0, 1}, 
   {0, 1, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 1, 1/2, 0, 0}, {0, 1, 1, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 4/5, 0, 0, 1/5, 2/5, 1/5, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 3/5}, {2/5, 0, 0, 4/5, 0, 1, 0, 1, 2/5}, 
   {0, 2/5, 0, 0, 2/5, 0, 0, 4/5, 2/5}, {4/5, 2/5, 0, 0, 0, 2/5, 2/5, 0, 0}, 
   {0, 0, 0, 0, 4/5, 0, 0, 4/5, 2/5}, {0, 0, 0, 0, 0, 3/5, 3/5, 0, 3/5}, 
   {2/5, 0, 0, 1/5, 3/5, 0, 0, 3/5, 0}, {0, 0, 2/5, 2/5, 0, 1/5, 1/5, 0, 
    1/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1/3, 1, 2/3, 0, 2/3, 0, 0, 1/3}, {1, 0, 0, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {0, 1, 1, 0, 2/3, 0, 1/3, 1/3, 0}, {1/3, 0, 2/3, 2/3, 2/3, 0, 0, 0, 1/3}, 
   {1, 0, 0, 2/3, 0, 2/3, 2/3, 0, 1/3}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/4, 1/4, 0, 0, 1/2, 1/4, 1/2, 0}, {3/4, 3/4, 0, 1/4, 0, 0, 3/4, 
    1/4, 0}, {3/4, 0, 1/2, 0, 0, 1/4, 0, 1/4, 1/2}, 
   {1/4, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/4, 0, 0, 1/2, 1/4}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, {0, 3/4, 1/4, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 3/4, 3/4, 3/4, 0, 3/4, 0, 0}, {1/4, 1/2, 0, 0, 1/4, 1/2, 0, 1/4, 
    1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 4/5, 4/5}, {0, 0, 0, 0, 0, 4/5, 0, 2/5, 0}, 
   {4/5, 4/5, 0, 0, 2/5, 0, 0, 0, 0}, {3/5, 1, 0, 0, 0, 2/5, 0, 0, 1}, 
   {0, 0, 1, 4/5, 4/5, 0, 1, 1/5, 0}, {0, 2/5, 1/5, 0, 2/5, 0, 3/5, 1/5, 
    4/5}, {2/5, 0, 1, 0, 0, 0, 0, 0, 1/5}, {1/5, 1/5, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 3/5, 2/5, 0, 0, 2/5, 0, 1/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 1}, {1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 1, 1/2, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/3, 1/3, 0, 0, 2/3, 0, 2/3}, 
   {1/3, 1, 0, 0, 1/3, 1, 0, 0, 0}, {2/3, 0, 1/3, 1/3, 2/3, 0, 2/3, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 0, 2/3, 2/3, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3, 2/3}, {1/3, 1/3, 2/3, 1/3, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 1, 0, 1/3, 1, 0, 0, 0}, {1/3, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1, 0, 1/2}, {0, 1, 1, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 1, 1/2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 1, 1/2}, {1/2, 1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 1, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 1, 0}, {0, 0, 1, 1/2, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1}, {1, 1/2, 0, 0, 1/2, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1/2, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 1, 0, 1/3, 0, 1}, {0, 2/3, 1, 0, 1/3, 0, 1, 0}, 
   {0, 0, 0, 1, 2/3, 2/3, 1/3, 0}, {2/3, 0, 0, 1/3, 0, 0, 1, 0}, 
   {0, 0, 1/3, 0, 1, 1/3, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 1, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 0}, {1, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 1}, {0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1, 1, 1, 0}, {1/2, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 1/2, 1, 0}, {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, {1, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 1/2}, {0, 1, 0, 1, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 1, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {1, 0, 1/2, 1, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {1, 0, 1/2, 0, 1, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 2/3, 0, 0, 0, 1/3}, {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {1, 0, 0, 0, 1/3, 1/3, 0, 2/3, 2/3}, {1/3, 0, 1, 1/3, 0, 0, 1/3, 0, 1}, 
   {0, 1, 0, 2/3, 0, 1/3, 1/3, 1, 0}, {0, 1, 0, 1/3, 0, 2/3, 0, 0, 1}, 
   {0, 1/3, 1/3, 0, 2/3, 1/3, 0, 1/3, 0}, {1/3, 0, 1, 1/3, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 1, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 1, 0, 1, 0, 1/2, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 1/2}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/3, 1, 1/3, 0, 1/3}, 
   {0, 2/3, 1/3, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 2/3, 0, 1/3, 1, 2/3, 1, 0}, {0, 0, 1, 2/3, 0, 1/3, 0, 1}, 
   {1, 1/3, 1/3, 0, 0, 0, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 1/2, 1/2, 0, 0, 1, 1/2}, 
   {0, 0, 1, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {0, 0, 1/3, 1, 1/3, 2/3, 0, 0, 0}, {1, 1/3, 0, 0, 0, 1/3, 0, 2/3, 2/3}, 
   {0, 0, 1, 1/3, 1/3, 0, 2/3, 2/3, 0}, {0, 0, 1, 0, 2/3, 1/3, 0, 0, 2/3}, 
   {1, 1/3, 0, 1/3, 1/3, 0, 2/3, 0, 0}, {1/3, 1/3, 0, 0, 0, 1/3, 1, 1/3, 
    1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1, 1/2}, {0, 0, 1, 1, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1, 0, 1/2}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}, {2/3, 0, 0, 1, 1/3, 0, 0, 0, 1}, 
   {0, 0, 2/3, 0, 0, 1/3, 1, 1/3, 0}, {0, 0, 0, 1/3, 1/3, 0, 2/3, 0, 1}, 
   {2/3, 0, 0, 2/3, 0, 1/3, 0, 0, 1}, {2/3, 2/3, 0, 1/3, 1/3, 0, 1/3, 1/3, 
    0}, {0, 0, 0, 0, 0, 1/3, 0, 2/3, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 1, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 1/2, 0, 0, 1/2, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 2/3, 1/3, 0}, 
   {1/3, 0, 1/3, 0, 1/3, 0, 1/3, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 0, 1/3, 0, 0, 2/3, 2/3, 0}, {0, 0, 2/3, 1, 0, 2/3, 1/3, 0}, 
   {0, 2/3, 1/3, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1, 0, 0}, {0, 1, 0, 1/2, 1, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 1/2, 0, 1, 0, 0}, {0, 1/2, 1/2, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 1, 0, 1/2, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1/2, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1, 1, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 1/2}, {1/2, 0, 1, 0, 1, 1/2, 0, 0, 0}, 
   {1, 1/2, 0, 1, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 1/3, 0, 0, 2/3, 2/3, 0, 0, 1/3}, {1, 0, 1, 2/3, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 2/3, 0, 1}, {1, 0, 1, 2/3, 0, 0, 0, 0, 1}, 
   {0, 1/3, 0, 0, 2/3, 0, 1/3, 1, 0}, {0, 1, 0, 0, 0, 0, 1/3, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 1/3, 0, 1/3, 0, 1/3, 0}, {0, 0, 0, 0, 1/3, 0, 1/3, 0, 1}, 
   {0, 0, 1/3, 0, 2/3, 1/3, 0, 0, 2/3}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {2/3, 0, 0, 1, 1/3, 0, 0, 1/3, 0}, {0, 1/3, 0, 0, 0, 0, 1, 2/3, 0}, 
   {1, 0, 1, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {2/3, 0, 0, 0, 1/3, 0, 2/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1/2, 0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, {1/2, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 1/2, 0, 1/2, 0, 1, 0, 1/2, 
    1/2}, {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 1, 1/2, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2, 1}, {1/2, 0, 0, 1, 0, 1, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 1, 0, 1/2}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1, 0, 1/2}, {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/5, 0, 0, 0, 2/5, 2/5, 0, 2/5, 0}, 
   {0, 0, 0, 0, 0, 4/5, 2/5, 4/5, 0}, {4/5, 0, 0, 2/5, 0, 0, 2/5, 0, 0}, 
   {1/5, 3/5, 0, 0, 2/5, 1, 2/5, 0, 0}, {0, 0, 1, 1, 1/5, 0, 0, 4/5, 0}, 
   {1/5, 1, 0, 2/5, 0, 3/5, 0, 0, 2/5}, {0, 0, 3/5, 0, 2/5, 3/5, 0, 0, 4/5}, 
   {1/5, 1, 0, 1, 3/5, 0, 0, 2/5, 0}, {0, 0, 1, 0, 0, 1/5, 2/5, 0, 4/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, 
   {1/3, 2/3, 0, 0, 0, 2/3, 0, 0, 1/3}, {0, 1/3, 1, 0, 0, 1, 1/3, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 1/3, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1/3, 1, 0, 1/3, 1/3, 0}, {1/3, 0, 2/3, 0, 1, 0, 0, 1/3, 0}, 
   {2/3, 0, 0, 0, 0, 1/3, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/5, 1/5, 3/5, 0, 0, 0, 1/5}, {0, 0, 0, 0, 0, 1/5, 3/5, 1, 0}, 
   {1/5, 1/5, 1/5, 0, 0, 2/5, 0, 1/5, 3/5}, {2/5, 0, 4/5, 2/5, 4/5, 0, 1/5, 
    0, 0}, {2/5, 2/5, 0, 0, 0, 2/5, 1/5, 0, 4/5}, 
   {2/5, 4/5, 0, 1/5, 1/5, 0, 0, 1/5, 0}, {0, 2/5, 0, 0, 0, 1/5, 3/5, 2/5, 
    1/5}, {0, 0, 0, 2/5, 0, 1, 1/5, 0, 1/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 0}, {1/2, 1/2, 0, 1, 0, 1/2, 1/2, 0, 
    0}, {1/2, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1, 1, 
    1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1/2, 0, 1}, {0, 1, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 2/5, 0, 0, 2/5, 0, 0, 0}, {0, 0, 0, 0, 0, 2/5, 4/5, 0}, 
   {0, 0, 0, 0, 3/5, 0, 3/5, 2/5}, {0, 0, 2/5, 0, 1, 0, 3/5, 0}, 
   {2/5, 0, 3/5, 3/5, 0, 1/5, 0, 3/5}, {0, 0, 1/5, 3/5, 0, 4/5, 1/5, 2/5}, 
   {2/5, 0, 0, 0, 1/5, 3/5, 0, 1}, {0, 2/5, 1, 1, 0, 0, 1/5, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 1}, {1/2, 0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 1, 0, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1, 0, 1/2, 1/2, 0, 1/2, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 0, 1/2}, {1, 1, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 0, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{3/5, 1/5, 0, 0, 2/5, 0, 0, 1/5, 0}, 
   {0, 0, 1/5, 0, 0, 0, 3/5, 0, 1/5}, {0, 0, 1, 0, 4/5, 2/5, 0, 1/5, 0}, 
   {1/5, 1/5, 0, 4/5, 0, 0, 1, 0, 3/5}, {1/5, 1/5, 4/5, 0, 0, 0, 1/5, 0, 
    3/5}, {0, 2/5, 0, 2/5, 0, 0, 0, 4/5, 2/5}, {4/5, 4/5, 0, 0, 4/5, 4/5, 0, 
    0, 0}, {0, 0, 0, 4/5, 0, 2/5, 0, 4/5, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 1, 0, 0, 1}, {0, 2/3, 0, 0, 0, 1/3, 2/3, 0, 1}, 
   {0, 0, 2/3, 1, 1/3, 0, 1/3, 1, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 1/3, 1/3, 0, 2/3, 0, 1}, {0, 2/3, 0, 1/3, 1/3, 0, 0, 2/3, 1}, 
   {0, 0, 0, 0, 0, 1, 1/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 1, 1/2, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 1, 1/2, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 3/4, 0, 0, 1/4}, {1/2, 1/4, 0, 0, 0, 1/2, 0, 1/4, 0}, 
   {1, 1/4, 0, 0, 0, 0, 1/2, 1/2, 0}, {0, 1/4, 1/2, 3/4, 1/4, 0, 1/4, 0, 0}, 
   {0, 0, 1/4, 3/4, 0, 0, 3/4, 1/4, 0}, {3/4, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/4, 3/4}, {1/4, 0, 0, 1, 1/4, 0, 0, 0, 3/4}, 
   {0, 3/4, 1, 0, 1/2, 0, 1/4, 1/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1, 1/2}, {1/2, 0, 1/2, 1, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 1, 0, 0}, {1, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1, 1, 0, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 1, 1, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {1/2, 0, 1, 0, 0, 1/2, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1/2}, 
   {1, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 1/2, 0, 1, 1, 0, 0, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{4/23, 5/23, 0, 0, 2/23, 14/23, 0, 2/23, 6/23}, 
   {0, 11/23, 18/23, 10/23, 4/23, 0, 0, 2/23, 0}, 
   {6/23, 7/23, 0, 0, 0, 16/23, 0, 0, 4/23}, {0, 9/23, 19/23, 0, 0, 0, 9/23, 
    17/23, 0}, {3/23, 4/23, 0, 14/23, 6/23, 0, 0, 10/23, 5/23}, 
   {1/23, 0, 0, 16/23, 16/23, 0, 2/23, 0, 9/23}, {0, 0, 7/23, 0, 0, 20/23, 
    10/23, 0, 19/23}, {10/23, 0, 11/23, 0, 6/23, 10/23, 0, 0, 3/23}, 
   {1, 3/23, 0, 0, 8/23, 0, 9/23, 7/23, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{3/11, 0, 1, 5/11, 7/11, 0, 0, 0, 0}, {0, 7/11, 0, 0, 0, 3/11, 2/11, 8/11, 
    0}, {3/11, 4/11, 3/11, 0, 2/11, 7/11, 0, 0, 2/11}, 
   {3/11, 0, 3/11, 0, 0, 1, 4/11, 0, 2/11}, {8/11, 1, 0, 3/11, 3/11, 0, 0, 0, 
    0}, {0, 6/11, 0, 0, 0, 0, 6/11, 0, 8/11}, {4/11, 0, 6/11, 2/11, 0, 0, 0, 
    4/11, 2/11}, {0, 0, 8/11, 6/11, 6/11, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/4, 1/2, 1, 0}, 
   {1/4, 0, 0, 1/2, 3/4, 0, 1/2, 0, 0}, {1/4, 0, 1/2, 0, 1/2, 0, 0, 1/4, 0}, 
   {1/4, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1/4, 0, 0}, 
   {1/4, 1, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/4, 1/4, 1/4, 0, 3/4, 1/4, 0, 1}, {3/4, 1, 0, 0, 1, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1/2, 0, 1, 1, 0, 1/2}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 1, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 1/3, 2/9, 2/9, 0}, {2/9, 0, 1, 2/9, 0, 0, 0, 0, 0}, 
   {2/9, 0, 0, 2/9, 0, 0, 2/3, 0, 1}, {1/3, 1/3, 0, 2/9, 0, 0, 1/3, 2/3, 0}, 
   {0, 0, 0, 1/9, 1, 0, 1/3, 0, 1/3}, {4/9, 2/3, 0, 0, 0, 1/3, 0, 1/3, 2/9}, 
   {0, 0, 0, 0, 0, 1/3, 1/3, 2/3, 2/3}, {0, 0, 2/3, 2/3, 0, 1, 1/3, 0, 2/3}, 
   {4/9, 2/3, 0, 1/9, 1/3, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 1, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1/3, 0}, {0, 1, 2/3, 2/3, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3}, {0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2/3, 1/3}, 
   {0, 1/3, 0, 0, 2/3, 1/3, 1/3, 0}, {1/3, 0, 2/3, 0, 2/3, 0, 0, 1/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 2/3, 1/3, 1/3, 0, 0, 1, 0}, 
   {1/3, 0, 1/3, 0, 0, 1/3, 0, 1/3, 2/3}, {0, 0, 0, 2/3, 0, 1, 0, 0, 1}, 
   {1/3, 0, 0, 1/3, 0, 0, 0, 0, 1/3}, {0, 0, 0, 0, 0, 0, 1/3, 0, 1/3}, 
   {0, 1/3, 0, 0, 0, 1/3, 0, 0, 0}, {0, 0, 0, 0, 1/3, 0, 2/3, 2/3, 2/3}, 
   {0, 1/3, 0, 1/3, 1, 0, 2/3, 0, 2/3}, {2/3, 0, 0, 0, 0, 1/3, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/5, 2/5, 0, 0, 0, 4/5, 2/5, 0, 4/5}, {0, 0, 2/5, 4/5, 0, 0, 0, 2/5, 0}, 
   {0, 0, 0, 0, 1, 1/5, 1/5, 0, 1/5}, {0, 2/5, 0, 1/5, 0, 0, 0, 1, 0}, 
   {0, 0, 4/5, 1/5, 0, 0, 0, 1/5, 2/5}, {0, 0, 2/5, 0, 1, 1, 0, 3/5, 0}, 
   {2/5, 2/5, 0, 1, 0, 0, 3/5, 0, 3/5}, {2/5, 0, 0, 0, 3/5, 3/5, 2/5, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 1, 0, 1, 1/3, 0}, 
   {0, 2/3, 0, 0, 1, 0, 0, 1/3}, {0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 1/3, 1/3, 0, 0, 0, 1/3}, {0, 0, 1, 1, 0, 0, 0, 1}, 
   {2/3, 0, 0, 0, 1/3, 1/3, 1/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1/2}, {1/2, 0, 0, 1, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1, 0}, {0, 1/2, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 1/2, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 0}, {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 1, 1, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/3, 1, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 0, 1, 0, 0}, {1/3, 1/3, 0, 0, 1, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 1, 1/3, 1/3, 1, 0}, {0, 2/3, 0, 1/3, 0, 0, 0, 0, 1}, 
   {1/3, 0, 1/3, 0, 2/3, 2/3, 0, 1, 0}, {2/3, 0, 1, 2/3, 0, 0, 0, 1/3, 0}, 
   {2/3, 0, 2/3, 0, 1/3, 1/3, 2/3, 0, 2/3}, {0, 0, 0, 2/3, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 1, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 1, 1, 0, 0, 0, 1}, {1/2, 1/2, 0, 0, 0, 1, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 5/6, 1/2, 0, 0, 0, 0}, {1/6, 1/2, 0, 0, 0, 0, 2/3, 0, 1/3}, 
   {0, 1/6, 0, 0, 1/6, 2/3, 0, 1, 1/3}, {1/6, 0, 1, 1/2, 0, 0, 0, 0, 1/6}, 
   {1/3, 1/6, 2/3, 0, 0, 0, 0, 1/3, 0}, {5/6, 1, 0, 0, 0, 0, 1/3, 0, 1/3}, 
   {1/6, 0, 1/3, 0, 1/2, 1, 0, 0, 0}, {0, 1/6, 0, 1/6, 0, 1/2, 1/3, 2/3, 
    1/6}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 1, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 1, 0, 1/2, 0, 1, 0, 1/2}, {0, 0, 1/2, 1, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, {0, 1, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, {0, 1, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {1, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {1, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1, 1, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 2/3, 0, 0, 1/3}, 
   {2/3, 0, 1/3, 1/3, 0, 2/3, 0, 0}, {0, 0, 0, 1/3, 0, 2/3, 2/3, 1/3}, 
   {0, 1/3, 2/3, 1, 0, 0, 1/3, 1/3}, {1/3, 0, 0, 0, 1/3, 1, 1, 0}, 
   {0, 0, 0, 0, 1/3, 0, 0, 2/3}, {1/3, 0, 0, 0, 0, 0, 1/3, 2/3}, 
   {0, 2/3, 0, 1/3, 0, 1/3, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 0, 0, 1, 1, 1/2, 0, 1}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 1, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 1, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 1, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 1, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/3, 0, 1, 2/3, 0}, {2/3, 1, 0, 0, 2/3, 1, 0, 2/3, 0}, 
   {2/3, 0, 1, 1, 0, 0, 0, 0, 0}, {1/3, 0, 2/3, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1/3, 0, 0}, {0, 1, 0, 1/3, 0, 1/3, 1/3, 0, 2/3}, 
   {0, 0, 1/3, 0, 0, 0, 0, 1/3, 0}, {1/3, 0, 0, 1/3, 0, 0, 0, 0, 1/3}, 
   {0, 1/3, 0, 0, 1/3, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1, 1}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/4, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 3/4}, {0, 1/2, 0, 1/2, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1, 1}, {0, 1, 0, 3/4, 1, 0, 1, 0, 0}, 
   {1/4, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/4}, {0, 1/4, 0, 1/4, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, {1/4, 0, 0, 0, 0, 0, 0, 3/4, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 1}, {0, 1/2, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 1, 0, 1/2, 1/2, 0, 1/2, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, {1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 2/3, 2/3, 1, 0, 0, 1/3, 0}, {0, 0, 0, 2/3, 0, 1, 2/3, 0, 1}, 
   {1, 2/3, 0, 0, 0, 0, 1/3, 1, 0}, {2/3, 0, 1/3, 0, 2/3, 0, 0, 0, 1/3}, 
   {0, 1/3, 1/3, 0, 0, 2/3, 0, 1/3, 0}, {2/3, 1/3, 0, 1/3, 1/3, 0, 1/3, 0, 
    0}, {1/3, 0, 2/3, 0, 0, 2/3, 0, 1/3, 0}, {0, 1/3, 0, 0, 2/3, 0, 1/3, 0, 
    1}, {0, 0, 2/3, 1/3, 0, 1/3, 1/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 2/3, 1, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1/3}, {2/3, 2/3, 0, 0, 0, 1, 1/3, 0, 1/3}, 
   {1/3, 0, 2/3, 0, 0, 1/3, 2/3, 0, 1/3}, {1, 1/3, 0, 2/3, 1/3, 0, 1, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 1, 0, 1/3, 0}, {0, 0, 0, 1/3, 2/3, 0, 0, 0, 2/3}, 
   {0, 1/3, 2/3, 0, 0, 0, 1/3, 0, 0}, {0, 0, 0, 0, 1/3, 2/3, 0, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 1/3, 0, 1/3, 2/3}, 
   {1, 2/3, 0, 0, 0, 0, 0, 1/3, 0}, {0, 2/3, 0, 1/3, 1, 0, 0, 0, 0}, 
   {0, 1/3, 1, 1/3, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 2/3, 0, 1}, 
   {0, 0, 2/3, 0, 0, 2/3, 2/3, 0, 1/3}, {0, 0, 2/3, 2/3, 0, 1/3, 1/3, 0, 0}, 
   {1/3, 0, 0, 0, 0, 1/3, 1/3, 2/3, 0}, {1/3, 0, 0, 0, 0, 0, 1/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 0, 1, 1/3, 1, 0}, 
   {0, 0, 0, 1, 1/3, 0, 0, 0, 1}, {0, 2/3, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {2/3, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 0, 0, 0, 2/3, 1, 0, 0, 1}, {0, 0, 2/3, 1, 1/3, 0, 1/3, 1, 0}, 
   {0, 2/3, 2/3, 0, 0, 1/3, 2/3, 2/3, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{3/5, 1, 0, 2/5, 2/5, 0, 0, 0, 1}, {0, 0, 3/5, 0, 0, 2/5, 1, 1/5, 0}, 
   {3/5, 3/5, 0, 0, 2/5, 0, 1, 4/5, 0}, {1/5, 3/5, 0, 0, 0, 4/5, 3/5, 0, 
    2/5}, {0, 0, 1, 0, 0, 0, 0, 1/5, 1}, {0, 0, 0, 0, 0, 2/5, 0, 3/5, 2/5}, 
   {2/5, 0, 0, 2/5, 0, 0, 0, 3/5, 0}, {0, 0, 0, 2/5, 2/5, 0, 2/5, 1/5, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 1, 1/2, 0}, {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, {1/2, 1, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 1/3, 0, 1/3, 1/3, 1/3, 0}, {0, 0, 1, 2/3, 0, 0, 0, 0, 1}, 
   {2/3, 0, 0, 0, 0, 1, 0, 1, 0}, {2/3, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1/3, 0, 1/3, 1, 2/3, 0, 0, 1, 0}, {0, 1/3, 2/3, 0, 2/3, 2/3, 1/3, 0, 
    2/3}, {0, 1/3, 0, 0, 0, 1/3, 1/3, 1/3, 0}, {0, 1/3, 0, 0, 0, 2/3, 0, 1/3, 
    0}, {1/3, 0, 0, 0, 1/3, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 1, 1, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 1, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 1, 0, 0, 1/2}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 1, 0, 1/2, 0, 1}, {1/2, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1/2, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 1/2, 1/2, 0, 0, 1/2, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1/2, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1, 0, 1, 1/2}, {1/2, 0, 0, 1/2, 1, 0, 1, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 0, 0, 1/3, 0}, {0, 1/3, 0, 1/3, 0, 1, 0, 0, 2/3}, 
   {0, 0, 0, 1/3, 0, 1, 1/3, 0, 2/3}, {1/3, 0, 0, 1/3, 1/3, 1/3, 0, 0, 1/3}, 
   {1, 0, 0, 0, 0, 1/3, 1/3, 1/3, 0}, {0, 1/3, 0, 1/3, 0, 0, 2/3, 0, 1}, 
   {1/3, 0, 1/3, 0, 1/3, 0, 0, 1/3, 1/3}, {2/3, 0, 0, 1/3, 1, 0, 0, 0, 0}, 
   {0, 1/3, 1/3, 0, 0, 0, 1/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 4/15, 0, 2/3, 0, 0, 0, 0}, 
   {0, 4/15, 0, 0, 2/5, 4/15, 0, 4/15, 0}, {4/15, 0, 0, 2/15, 0, 4/15, 2/15, 
    14/15, 0}, {0, 4/15, 0, 1, 0, 1, 0, 1/3, 0}, {2/3, 0, 0, 4/15, 1/15, 0, 
    7/15, 0, 11/15}, {4/15, 0, 2/15, 7/15, 0, 1/3, 4/15, 1/15, 2/5}, 
   {0, 0, 4/15, 1/5, 0, 7/15, 3/5, 0, 11/15}, {0, 0, 2/5, 0, 11/15, 2/15, 0, 
    1/5, 0}, {0, 0, 0, 0, 1, 0, 4/15, 11/15, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 1, 0, 0, 0, 1/3, 1/3}, 
   {0, 0, 0, 0, 1/3, 1, 1, 2/3, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, {2/3, 0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {2/3, 2/3, 0, 1/3, 0, 0, 1/3, 0, 2/3}, {0, 0, 0, 0, 1, 1/3, 0, 1/3, 1}, 
   {0, 2/3, 0, 1, 2/3, 0, 1/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/8, 0, 0, 1/2, 0, 1, 1/2, 0, 1/4}, 
   {1/4, 0, 1/4, 7/8, 0, 3/4, 1/8, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 3/4}, 
   {1/8, 1/4, 0, 0, 1/2, 0, 7/8, 0, 1/4}, {1, 0, 3/4, 0, 0, 1/8, 0, 1/4, 0}, 
   {0, 0, 0, 1/4, 3/4, 0, 1, 0, 0}, {0, 1/4, 0, 1/2, 1/2, 0, 1/8, 0, 1/4}, 
   {0, 0, 1/4, 0, 7/8, 0, 0, 1/4, 1/4}, {0, 1, 0, 0, 0, 1/4, 1/4, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1, 0, 1}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, {1, 1/2, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 1/3, 0, 0, 0, 2/3, 2/3, 0, 1/3}, 
   {0, 0, 1, 2/3, 0, 0, 1, 1/3, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {2/3, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {1/3, 1/3, 0, 1/3, 1/3, 1/3, 0, 0, 1/3}, 
   {1/3, 1, 0, 2/3, 0, 0, 1/3, 1/3, 0}, {0, 0, 1/3, 0, 0, 2/3, 0, 2/3, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1, 
    1/2}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0}, {0, 1, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 0, 1, 1}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 0, 1/2, 1/2, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 1, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/4, 1/4, 0, 3/4, 1/4, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 1/4, 0, 1/2}, 
   {1/4, 0, 1, 0, 0, 1/2, 0, 1, 0}, {1/4, 0, 0, 3/4, 0, 1/2, 1, 0, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 3/4, 0}, {1/2, 1, 0, 0, 0, 1/4, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 1/4, 1/2, 0, 1/2}, {1/4, 1/2, 0, 3/4, 0, 1/2, 0, 0, 0}, 
   {1/4, 0, 1/2, 1/4, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 1/2, 0, 0, 1}, {1/2, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 1}, 
   {0, 1, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 2/3, 0, 2/3, 0, 0, 1}, 
   {1/3, 0, 0, 2/3, 0, 1/3, 1, 0}, {1/3, 0, 0, 0, 2/3, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 0, 0, 0, 1}, {0, 1/3, 2/3, 0, 2/3, 1/3, 1/3, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 2/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{2/5, 2/5, 0, 2/5, 0, 4/5, 0, 0, 0}, {2/5, 0, 4/5, 2/5, 0, 0, 2/5, 2/5, 
    0}, {0, 0, 0, 2/5, 2/5, 0, 0, 4/5, 4/5}, {0, 0, 4/5, 0, 0, 3/5, 0, 0, 1}, 
   {0, 0, 2/5, 0, 2/5, 3/5, 0, 0, 3/5}, {0, 2/5, 0, 1/5, 3/5, 0, 1, 1/5, 0}, 
   {0, 0, 0, 1/5, 3/5, 0, 2/5, 0, 3/5}, {0, 0, 2/5, 0, 0, 3/5, 3/5, 3/5, 0}, 
   {2/5, 2/5, 0, 1/5, 1/5, 0, 0, 0, 1/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1}, {1, 0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1/2, 1}, 
   {1, 0, 1/2, 1/2, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 0, 2/3}, {1/3, 0, 1/3, 0, 1/3, 0, 0, 2/3}, 
   {0, 1, 2/3, 1/3, 0, 0, 0, 0}, {1/3, 0, 0, 1/3, 2/3, 0, 2/3, 0}, 
   {1, 0, 0, 1/3, 0, 2/3, 2/3, 0}, {0, 1/3, 1/3, 0, 1/3, 0, 2/3, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 3/5, 3/5, 0, 2/5, 0, 0}, {3/5, 0, 1, 0, 0, 3/5, 0, 0, 2/5}, 
   {0, 1/5, 0, 0, 0, 1, 4/5, 2/5, 0}, {2/5, 1, 0, 0, 0, 1, 0, 2/5, 0}, 
   {1/5, 0, 1, 1/5, 1, 0, 0, 0, 0}, {0, 0, 0, 4/5, 0, 2/5, 0, 2/5, 2/5}, 
   {0, 4/5, 0, 0, 0, 4/5, 0, 0, 2/5}, {4/5, 0, 0, 2/5, 2/5, 0, 2/5, 2/5, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 6/7, 1/7, 0, 0, 2/7, 0, 1/7, 0}, 
   {0, 6/7, 1/7, 0, 0, 1/7, 1/7, 1/7, 0}, {0, 0, 3/7, 1/7, 1, 0, 0, 0, 1/7}, 
   {1/7, 0, 0, 1/7, 6/7, 0, 0, 0, 5/7}, {0, 1/7, 0, 0, 5/7, 0, 1/7, 0, 1}, 
   {6/7, 0, 5/7, 1/7, 0, 3/7, 1/7, 0, 0}, {3/7, 3/7, 0, 1/7, 1/7, 0, 4/7, 
    4/7, 0}, {1/7, 0, 0, 5/7, 0, 1, 0, 0, 1/7}, {0, 4/7, 0, 0, 1/7, 0, 6/7, 
    1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 1, 0, 0}, {1, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/3, 1, 0}, {0, 0, 2/3, 1, 0, 0, 0, 0}, 
   {0, 0, 1/3, 0, 2/3, 1/3, 0, 1/3}, {1/3, 0, 0, 0, 1, 0, 0, 2/3}, 
   {0, 1, 0, 1/3, 0, 1/3, 2/3, 0}, {0, 0, 1/3, 0, 1/3, 1/3, 0, 2/3}, 
   {0, 1/3, 0, 0, 2/3, 0, 0, 1}, {1, 0, 1/3, 2/3, 0, 0, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 1/2}, {1, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, {1/2, 0, 0, 1, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1, 1/2, 1/2, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 1, 0, 1/2, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 0, 1/2, 1/2}, {0, 1, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 0, 1/2, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1/2, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, {0, 1, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 1, 1, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 1}, {0, 1/2, 0, 0, 1, 0, 1, 1, 0}, 
   {1/2, 0, 1, 0, 0, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, 
   {1, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/6, 1/2, 1/6, 0, 0, 1/2, 0, 0, 0}, {1/6, 0, 0, 1/6, 0, 2/3, 0, 0, 1/3}, 
   {0, 1/3, 2/3, 1/6, 1/6, 0, 0, 2/3, 0}, {0, 0, 0, 5/6, 1, 1/6, 0, 1/6, 0}, 
   {1/3, 0, 1/3, 1/2, 2/3, 0, 1/3, 0, 0}, {0, 5/6, 5/6, 0, 0, 1/6, 1/6, 5/6, 
    0}, {2/3, 1/3, 0, 0, 0, 1/6, 0, 0, 1/6}, {5/6, 0, 0, 0, 0, 2/3, 0, 1/3, 
    0}, {0, 1/3, 0, 0, 0, 0, 5/6, 0, 5/6}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 1/3, 0, 2/3, 0, 1/3, 0}, {0, 1, 0, 1/3, 1/3, 0, 2/3, 0, 0}, 
   {0, 0, 2/3, 0, 1/3, 0, 0, 0, 1}, {1/3, 0, 0, 0, 0, 0, 2/3, 2/3, 2/3}, 
   {1, 0, 0, 1/3, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 0, 1}, 
   {2/3, 0, 0, 1/3, 0, 1, 1/3, 0, 0}, {1, 2/3, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 0, 0, 1/3, 0, 2/3, 0}, {0, 1, 0, 0, 2/3, 0, 1/3, 0, 1}, 
   {1/3, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1/3, 1/3, 1/3, 1/3, 0, 0, 0, 2/3}, 
   {1, 2/3, 0, 0, 0, 1, 0, 1/3, 0}, {1/3, 0, 1/3, 0, 0, 1/3, 2/3, 0, 2/3}, 
   {0, 0, 0, 0, 0, 0, 2/3, 1, 0}, {2/3, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 2/3, 0, 2/3, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 2/3, 1/3, 0, 2/3, 0, 1/3, 2/3}, {2/3, 0, 0, 1, 1, 1/3, 0, 1/3}, 
   {0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 2/3, 0, 1/3, 1, 0, 1/3, 0}, {0, 2/3, 0, 1/3, 1/3, 0, 1/3, 2/3}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1/2, 1, 1/2, 1/2, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1, 1/2, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 1, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1}, {1, 0, 0, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1/2, 1/2, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {2/3, 2/3, 2/3, 0, 1/3, 0, 0, 1/3, 0}, {0, 0, 2/3, 2/3, 1/3, 0, 0, 1/3, 
    0}, {2/3, 0, 0, 1, 0, 1, 1/3, 0, 1}, {2/3, 2/3, 0, 0, 1, 0, 1/3, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 0, 1, 0, 1, 0}, {0, 0, 2/3, 0, 1/3, 2/3, 1/3, 0, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 0, 1}, 
   {0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, {0, 1/2, 0, 1, 0, 0, 1, 0, 1}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 0, 1}, {1, 1/2, 0, 0, 1/2, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {1/2, 0, 0, 1, 1/2, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, {1, 1, 0, 0, 1/2, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 1/2, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 
    1}, {1, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 1, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1/3, 2/3, 0, 0, 1/3}, {0, 2/3, 0, 0, 0, 0, 1/3, 0, 2/3}, 
   {0, 0, 2/3, 1/3, 0, 1, 0, 1/3, 0}, {1/3, 1/3, 0, 0, 1/3, 1/3, 0, 0, 0}, 
   {0, 1/3, 0, 0, 0, 1/3, 1/3, 0, 2/3}, {0, 0, 1/3, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {2/3, 0, 2/3, 2/3, 1/3, 0, 0, 0, 0}, {0, 0, 0, 2/3, 2/3, 1/3, 0, 1/3, 0}, 
   {1/3, 1/3, 0, 1/3, 0, 0, 1/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 1, 1/2, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 1, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1, 1, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1, 0, 0, 1, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 1, 0, 0, 1/2, 1, 0, 1/2, 1/2}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 1, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 1, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1, 1/2, 0, 1/2}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 1/3, 0, 0, 0, 1/3, 0, 0, 2/3}, {0, 0, 1/3, 1/3, 1, 0, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 2/3, 0, 2/3}, {2/3, 2/3, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 2/3, 2/3, 0, 0, 0, 2/3, 0}, {0, 2/3, 1/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {1/3, 1, 0, 1/3, 1/3, 0, 0, 2/3, 0}, {2/3, 0, 1, 0, 0, 1, 2/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1, 1/2, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 1/2, 0, 1, 0, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 1/2, 0}, {1, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 1, 1, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 1, 0, 1/2, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 
    1/2}, {1, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 
    0}, {1/2, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 
    1/2}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 1, 1/2, 0, 1, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 1, 0, 1/2, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}, {1, 1, 0, 1, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, 
   {1, 1/2, 0, 0, 1, 1, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {0, 0, 0, 0, 0, 1, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{4/5, 2/5, 0, 0, 3/5, 0, 0, 0, 1/5}, 
   {0, 0, 0, 2/5, 3/5, 0, 2/5, 0, 1/5}, {2/5, 0, 0, 1/5, 0, 1/5, 1/5, 3/5, 
    0}, {1/5, 1/5, 3/5, 0, 1/5, 4/5, 0, 0, 1/5}, 
   {0, 2/5, 0, 1/5, 0, 3/5, 2/5, 0, 1}, {2/5, 0, 4/5, 0, 1/5, 0, 1/5, 1, 0}, 
   {2/5, 0, 2/5, 2/5, 0, 0, 2/5, 0, 4/5}, {0, 4/5, 0, 0, 0, 2/5, 2/5, 4/5, 
    0}, {0, 2/5, 2/5, 0, 0, 0, 0, 2/5, 2/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 1/2, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1/2, 1/2, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 0, 1, 1/2, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1, 1, 0, 1, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 1, 1/2, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 0, 1/2, 1, 0}, 
   {1, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1/2, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 2/3, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1/3, 1/3, 0, 0}, 
   {1/3, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1/3, 1, 1/3, 0, 1/3, 0, 1/3, 1/3}, 
   {2/3, 1, 0, 0, 1, 0, 1, 0, 0}, {1/3, 0, 1, 0, 0, 1, 0, 0, 1/3}, 
   {0, 0, 1, 0, 2/3, 0, 1/3, 1/3, 0}, {0, 0, 1, 0, 1, 0, 1/3, 0, 0}, 
   {2/3, 1, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 0, 1, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 1, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 1, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 2/3, 2/3, 0, 0, 1/3}, 
   {2/3, 1/3, 0, 0, 0, 1/3, 0, 0, 1}, {0, 0, 1, 1/3, 0, 0, 0, 1, 0}, 
   {0, 1/3, 0, 2/3, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1/3, 0, 1, 0}, {0, 0, 1/3, 0, 2/3, 1/3, 1, 0, 2/3}, 
   {0, 1/3, 2/3, 0, 1/3, 0, 2/3, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 2/9, 2/3, 0, 2/3, 1/3}, 
   {2/9, 8/9, 5/9, 4/9, 0, 0, 0, 0, 1/9}, {1/3, 1, 0, 0, 0, 0, 1, 5/9, 0}, 
   {0, 0, 0, 0, 2/9, 2/3, 0, 5/9, 0}, {0, 0, 0, 0, 4/9, 2/3, 0, 1/3, 0}, 
   {2/3, 0, 0, 2/9, 0, 0, 2/9, 1/9, 0}, {1, 1, 0, 0, 2/9, 2/9, 0, 1/9, 1}, 
   {0, 0, 1, 8/9, 4/9, 0, 1/9, 0, 0}, {0, 0, 1/3, 0, 0, 0, 1, 0, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1/2, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1/2, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1/2, 1}, {0, 0, 0, 1, 1, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 1/2, 1/2, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1/2, 1/2, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 1, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 1/2, 1/2, 0}, {1, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 1, 1, 1/3, 0, 0, 0, 0}, {1, 2/3, 0, 0, 1/3, 0, 0, 1, 1}, 
   {0, 0, 1/3, 2/3, 0, 2/3, 1, 0, 0}, {0, 1/3, 1, 0, 1/3, 1/3, 0, 1/3, 0}, 
   {1/3, 0, 2/3, 1/3, 0, 1/3, 0, 1, 0}, {1/3, 1/3, 0, 0, 2/3, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/3, 2/3, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {2/3, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 1/3, 1/3, 2/3, 0, 0, 0}, {0, 1/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 2/3, 0, 1, 1/3, 0, 0, 1}, {1/3, 2/3, 0, 0, 0, 1/3, 0, 2/3, 2/3}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 0, 1, 0}, {0, 0, 2/3, 1, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 1/3, 1/3, 0, 1/3, 0, 1}, {0, 0, 1/3, 0, 0, 2/3, 1/3, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 1/3, 0, 0, 0, 0}, 
   {1/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 1/3, 0, 0, 0, 1/3, 1/3}, 
   {2/3, 1, 0, 0, 0, 1/3, 1/3, 2/3, 0}, {0, 0, 0, 1/3, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1/3, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1/3, 0, 1/3, 0, 2/3}, 
   {0, 1/3, 0, 0, 2/3, 1, 1/3, 0, 1/3}, {0, 0, 1, 1/3, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/3, 1, 1/3, 0, 0}, 
   {1, 1/3, 0, 1, 0, 0, 0, 0, 0}, {2/3, 0, 0, 1, 0, 0, 0, 0, 1/3}, 
   {0, 2/3, 0, 0, 2/3, 0, 0, 1/3, 0}, {2/3, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 1, 2/3}, {0, 2/3, 1, 1, 0, 0, 1/3, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {2/3, 0, 0, 0, 1, 1, 0, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1, 1}, 
   {1/2, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/3, 0, 0, 2/3, 1/3, 2/3, 0}, {2/3, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {2/3, 2/3, 0, 2/3, 1, 0, 0, 0, 1/3}, {2/3, 0, 2/3, 0, 0, 1/3, 0, 0, 0}, 
   {0, 0, 2/3, 2/3, 2/3, 0, 0, 1/3, 0}, {1/3, 0, 0, 1/3, 0, 1, 0, 0, 2/3}, 
   {1/3, 0, 0, 0, 0, 0, 1/3, 0, 0}, {0, 0, 0, 0, 1/3, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 0, 0, 0, 1/3, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1, 0, 1, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 0, 1}, {0, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 1/2, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 2/3, 2/3, 0, 0, 0}, {1/3, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 1/3, 0, 0, 2/3, 1/3}, {2/3, 2/3, 0, 1/3, 1, 0, 0, 1/3, 1}, 
   {0, 0, 1, 0, 0, 1/3, 1, 0, 0}, {0, 0, 1/3, 1/3, 0, 0, 2/3, 0, 2/3}, 
   {2/3, 1/3, 0, 1/3, 0, 0, 1, 0, 0}, {1/3, 0, 0, 2/3, 0, 1, 0, 0, 1/3}, 
   {0, 0, 2/3, 0, 0, 1/3, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1, 0, 1/6, 1, 0, 0, 1/6}, {0, 5/6, 0, 0, 1/6, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/6, 1/3, 0, 0, 2/3, 1, 1/2, 0, 0}, {0, 5/6, 1/2, 0, 0, 5/6, 0, 1/6, 
    1/6}, {0, 0, 0, 1, 5/6, 0, 0, 0, 0}, {5/6, 0, 0, 0, 1/3, 0, 1/2, 0, 1}, 
   {5/6, 0, 1, 0, 0, 0, 1/6, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1, 1/2, 0, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 1, 1/3, 0, 0}, {0, 0, 0, 1, 1/3, 0, 0, 1, 1/3}, 
   {2/3, 0, 0, 0, 1/3, 2/3, 0, 2/3, 0}, {0, 0, 0, 2/3, 1/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 2/3, 1/3, 0, 0, 0, 0}, {0, 2/3, 0, 0, 1/3, 1, 0, 1/3, 1/3}, 
   {2/3, 2/3, 0, 1/3, 0, 0, 1, 0, 0}, {0, 0, 0, 1/3, 2/3, 0, 1, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, 
   {0, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, {1, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 0, 1, 1, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1/2}, {0, 1/2, 1, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 0, 1, 0, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 1/2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1/3, 0, 0, 1/3, 0, 0, 2/3}, 
   {0, 0, 0, 0, 1/3, 1/3, 0, 0, 1}, {0, 0, 0, 1, 2/3, 0, 1/3, 1/3, 0}, 
   {1/3, 0, 0, 1, 0, 2/3, 0, 0, 1/3}, {0, 0, 0, 0, 1/3, 1, 0, 1, 0}, 
   {1/3, 2/3, 0, 1, 0, 0, 0, 0, 1}, {1/3, 0, 2/3, 0, 2/3, 0, 1, 0, 0}, 
   {1/3, 0, 0, 0, 2/3, 2/3, 1, 0, 0}, {0, 0, 0, 1/3, 0, 0, 2/3, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 6/7, 4/7, 0, 0, 0, 2/7}, 
   {0, 6/7, 0, 0, 0, 0, 0, 4/7, 0}, {0, 0, 4/7, 0, 0, 2/7, 6/7, 0, 0}, 
   {0, 0, 1, 0, 4/7, 2/7, 0, 5/7, 5/7}, {1, 1, 0, 6/7, 0, 2/7, 1/7, 0, 0}, 
   {1, 3/7, 0, 0, 2/7, 0, 1, 2/7, 0}, {1, 1/7, 0, 0, 6/7, 4/7, 0, 1/7, 1}, 
   {0, 0, 3/7, 4/7, 0, 2/7, 3/7, 0, 4/7}, {0, 2/7, 1, 2/7, 0, 0, 5/7, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/4, 1/4, 0, 0, 1/4, 1/2, 1/4, 0, 1/4}, 
   {0, 0, 0, 0, 1/2, 0, 0, 3/4, 1/2}, {0, 0, 1/4, 1/2, 0, 1/2, 1/2, 1/4, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/4, 1/2}, {0, 1/2, 0, 1, 3/4, 0, 1/2, 0, 0}, 
   {0, 1/2, 3/4, 0, 0, 0, 1, 3/4, 0}, {1, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 1/2, 0, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 1, 0, 2/3, 0, 0, 1/3}, 
   {0, 0, 0, 0, 1/3, 1, 1, 1, 0}, {0, 2/3, 0, 1, 0, 0, 0, 2/3, 1/3}, 
   {0, 0, 0, 0, 1, 1/3, 2/3, 0, 1/3}, {0, 0, 2/3, 1/3, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 1, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1, 1, 0, 0, 1, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1/2}, {1, 0, 1, 0, 0, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 0, 1, 1/2, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0}, {0, 2/3, 1/3, 0, 1, 1/3, 0, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 1/3, 1}, {0, 0, 1, 0, 1, 1/3, 2/3, 0}, 
   {0, 2/3, 0, 1/3, 0, 1/3, 0, 0}, {0, 0, 1/3, 0, 1, 0, 1/3, 1}, 
   {0, 0, 0, 1, 0, 1, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 0, 1/2, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 2/3, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/3, 0, 0, 2/3}, {1, 0, 1, 1/3, 1/3, 0, 2/3, 2/3, 0}, 
   {0, 1/3, 0, 1, 1, 0, 0, 0, 0}, {0, 1/3, 0, 1, 1/3, 0, 0, 2/3, 0}, 
   {1/3, 0, 1, 0, 0, 1/3, 0, 0, 2/3}, {2/3, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 2/3, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1/3, 0, 1, 0, 0, 2/3, 0}, {2/3, 0, 1, 0, 0, 0, 1/3, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 1/3, 1/3, 2/3, 0}, {1/3, 0, 0, 1/3, 0, 0, 2/3, 0, 1/3}, 
   {0, 2/3, 0, 0, 1/3, 0, 0, 1/3, 0}, {0, 2/3, 0, 0, 0, 0, 0, 1/3, 1/3}, 
   {1, 0, 2/3, 0, 0, 0, 0, 1, 1/3}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 1, 0, 1/3, 1/3}, 
   {0, 1/3, 1/3, 0, 1/3, 0, 1, 0, 0}, {2/3, 1/3, 0, 1/3, 0, 1/3, 0, 0, 0}, 
   {0, 1/3, 0, 0, 1, 0, 0, 2/3, 1/3}, {1/3, 1/3, 0, 0, 2/3, 0, 0, 2/3, 1/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 1, 0, 0}, {0, 0, 2/3, 1, 0, 0, 0, 2/3, 2/3}, 
   {1/3, 0, 0, 0, 1, 0, 2/3, 0, 1/3}, {2/3, 0, 1/3, 0, 2/3, 0, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 1/2}, {1, 1, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 1/2}, {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 1/2, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1/2, 0, 1, 1/2, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 1, 1/2, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1/2, 1, 0, 0, 1}, {0, 1/2, 1/2, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 0, 0, 0, 2/3, 0, 2/3, 1, 0}, 
   {0, 2/3, 2/3, 1/3, 0, 1/3, 0, 0, 1/3}, {0, 2/3, 1/3, 2/3, 0, 0, 1/3, 0, 
    1/3}, {0, 0, 0, 2/3, 1, 0, 1/3, 1/3, 0}, {0, 0, 1/3, 1/3, 0, 1, 1/3, 1/3, 
    0}, {0, 0, 0, 0, 1/3, 0, 0, 1/3, 1}, {0, 0, 0, 0, 2/3, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 1, 0, 0, 1, 0}, 
   {2/3, 0, 0, 0, 1, 1, 0, 1/3}, {0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3}, {0, 2/3, 1/3, 1/3, 0, 1, 0, 1/3}, 
   {2/3, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1/3, 1, 0, 1, 0, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 1, 0, 1/2, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1, 1/2, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1/2, 1/2, 0, 1/2}, {1, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1/2}, {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 1, 0, 0, 0}, {0, 1/2, 0, 1, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 1, 0, 1/2, 1, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 2/3, 0, 2/3, 0}, {0, 1/3, 1, 1/3, 0, 2/3, 0, 1/3, 0}, 
   {1, 2/3, 0, 0, 2/3, 0, 1/3, 0, 1/3}, {0, 1/3, 1/3, 2/3, 1, 0, 1/3, 0, 0}, 
   {1, 1, 0, 0, 0, 1/3, 0, 1/3, 0}, {0, 0, 0, 0, 0, 0, 1, 1/3, 1}, 
   {1/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 0, 2/3, 0, 1/3, 0, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 1/3, 1/3, 0, 1, 0, 1/3}, {2/3, 0, 0, 0, 0, 1/3, 0, 1/3, 0}, 
   {0, 2/3, 2/3, 0, 0, 1/3, 1/3, 0, 1/3}, {0, 0, 0, 0, 2/3, 1, 1, 0, 1}, 
   {0, 0, 2/3, 1/3, 1/3, 0, 0, 1, 2/3}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 1, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 1, 0, 0, 1, 0}, {1, 1/3, 0, 1/3, 0, 0, 2/3, 2/3, 0}, 
   {0, 0, 2/3, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1/3, 1, 0, 0, 0, 1}, 
   {1/3, 0, 0, 1/3, 0, 0, 0, 1, 2/3}, {0, 1/3, 2/3, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1/3, 2/3, 0, 0, 1, 0, 1/3}, {0, 1/3, 1/3, 1, 0, 0, 1, 0, 0}, 
   {1, 2/3, 0, 0, 1/3, 1/3, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1/3, 0, 0, 2/3, 1, 1/3, 0}, 
   {0, 1, 0, 0, 0, 1, 1/3, 0}, {0, 1/3, 0, 0, 0, 0, 2/3, 1}, 
   {1, 0, 0, 2/3, 0, 1/3, 1, 0}, {1/3, 0, 0, 2/3, 2/3, 1/3, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 1, 1/3, 0, 1, 0, 1/3}, 
   {2/3, 0, 0, 0, 0, 1, 0, 1, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 2/3, 2/3, 1/3, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1}, 
   {1/2, 0, 1, 1, 0, 0, 0, 1/2, 0}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 2/3, 0, 0, 2/3}, {0, 2/3, 0, 2/3, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 2/3, 1, 0, 0}, {1/3, 0, 2/3, 2/3, 0, 0, 1/3, 1/3}, 
   {1/3, 0, 0, 2/3, 0, 0, 1, 1/3}, {1/3, 0, 2/3, 2/3, 0, 1/3, 0, 0}, 
   {0, 1/3, 2/3, 0, 2/3, 0, 1, 1/3}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 1}, {1, 1/4, 0, 1/4, 1/4, 0, 3/4, 3/4, 0}, 
   {0, 1/2, 0, 1, 0, 1/4, 0, 0, 0}, {1, 1, 0, 0, 0, 1/4, 0, 0, 3/4}, 
   {0, 0, 1/4, 1/2, 0, 0, 0, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 3/4}, 
   {0, 0, 0, 0, 1, 3/4, 1/2, 0, 0}, {0, 3/4, 3/4, 0, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 1, 1, 0, 0, 2/3, 0, 1, 1/3}, 
   {1/3, 0, 2/3, 2/3, 0, 0, 1/3, 0, 0}, {1/3, 0, 0, 2/3, 2/3, 0, 1/3, 0, 0}, 
   {1, 0, 0, 0, 0, 2/3, 0, 1/3, 1/3}, {0, 1/3, 1/3, 2/3, 0, 0, 1/3, 2/3, 0}, 
   {0, 1/3, 1/3, 0, 0, 2/3, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/9, 8/9, 0, 0, 0, 2/9, 0, 4/9, 0}, {0, 0, 0, 0, 0, 2/9, 8/9, 4/9, 0}, 
   {2/9, 0, 2/3, 8/9, 0, 0, 0, 0, 0}, {4/9, 4/9, 0, 0, 1, 0, 1/9, 1/9, 0}, 
   {0, 0, 2/9, 0, 7/9, 0, 1/9, 5/9, 0}, {0, 8/9, 0, 1/9, 0, 5/9, 0, 0, 1}, 
   {2/9, 2/9, 0, 1, 0, 7/9, 1, 5/9, 0}, {2/3, 0, 8/9, 0, 1/9, 8/9, 0, 0, 1}, 
   {0, 2/9, 0, 2/9, 5/9, 0, 2/3, 2/9, 7/9}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/5, 2/5, 0, 0, 1/5, 1, 0, 0, 0}, {0, 1, 3/5, 1/5, 0, 0, 2/5, 0, 0}, 
   {0, 3/5, 1, 0, 1/5, 1/5, 4/5, 0, 4/5}, {1/5, 0, 2/5, 3/5, 0, 0, 0, 0, 
    4/5}, {1, 0, 0, 1, 2/5, 0, 0, 2/5, 0}, {4/5, 0, 0, 0, 2/5, 0, 0, 0, 2/5}, 
   {0, 0, 0, 0, 2/5, 2/5, 0, 4/5, 0}, {0, 0, 2/5, 0, 0, 0, 2/5, 4/5, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1, 0, 0}, {1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 1, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1, 1/2}, {1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, 
   {1, 1, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 1, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 1/4, 0, 0}, 
   {0, 0, 0, 1/4, 0, 1/2, 0, 0, 1/2}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/4, 0, 0, 1, 1/2, 0}, {0, 0, 1/2, 1/4, 1/2, 0, 1/2, 0, 0}, 
   {1/4, 0, 0, 0, 0, 1/4, 1/4, 1/2, 1/2}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/4, 0, 3/4, 0, 1/2, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1, 1/2, 0, 0, 1, 0, 1/2, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 1, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 1/3, 1/3, 2/3, 2/3, 0}, 
   {0, 1, 1/3, 0, 0, 0, 0, 0}, {1/3, 0, 1/3, 2/3, 0, 0, 2/3, 2/3}, 
   {0, 1, 0, 1/3, 1, 2/3, 0, 0}, {1, 0, 1/3, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 2/3}, {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1/2, 1, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1/2, 1, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1, 0}, {1, 1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, {1, 0, 0, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1, 0, 0, 1/2, 0, 1, 0}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 1, 1/2}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 1, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 1, 0, 1/2, 0}, {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 0, 4/5, 2/5, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 4/5, 2/5, 0}, 
   {1/5, 0, 0, 1/5, 3/5, 0, 2/5, 4/5}, {0, 1, 1/5, 0, 0, 0, 0, 0}, 
   {0, 1/5, 0, 1/5, 3/5, 0, 2/5, 4/5}, {1/5, 0, 1/5, 2/5, 2/5, 0, 0, 2/5}, 
   {1, 0, 1/5, 0, 0, 2/5, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/3, 0, 0, 2/3, 1/3, 0, 0}, {1/3, 0, 0, 2/3, 0, 0, 1/3, 1}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0}, {2/3, 0, 2/3, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, {1/3, 0, 2/3, 0, 2/3, 1/3, 0, 2/3}, 
   {0, 1/3, 2/3, 0, 0, 0, 1/3, 1/3}, {1/3, 0, 0, 2/3, 0, 1, 2/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1/2}, {0, 0, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0, 1}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/3, 1, 1, 0, 0}, {0, 1/3, 1, 0, 0, 0, 1, 1/3, 0}, 
   {1, 2/3, 0, 0, 1/3, 0, 0, 1, 1}, {0, 1/3, 1, 0, 0, 0, 0, 1, 0}, 
   {2/3, 0, 0, 1, 2/3, 0, 2/3, 0, 0}, {0, 0, 2/3, 1/3, 0, 0, 0, 2/3, 0}, 
   {0, 1/3, 1/3, 0, 0, 0, 0, 0, 1}, {1/3, 0, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {1, 2/3, 0, 0, 0, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 1/2, 0, 0, 1, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, {1, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 2/3}, 
   {2/3, 0, 0, 1/3, 0, 2/3, 1/3, 0}, {0, 0, 1, 0, 1, 1, 0, 1/3}, 
   {2/3, 0, 1, 0, 1/3, 0, 1, 0}, {0, 0, 1/3, 2/3, 1/3, 2/3, 1/3, 0}, 
   {0, 2/3, 0, 1, 0, 1, 0, 1/3}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, {1, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 1, 0, 0, 0, 2/3, 1, 1/3, 0}, {1/3, 0, 1, 0, 2/3, 0, 0, 0, 1}, 
   {1/3, 0, 1, 2/3, 2/3, 0, 0, 0, 1/3}, {0, 1, 0, 2/3, 2/3, 0, 2/3, 0, 1/3}, 
   {1, 0, 1, 0, 0, 2/3, 1, 1/3, 0}, {2/3, 1, 0, 0, 2/3, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{3/7, 0, 1, 0, 0, 0, 3/7, 0, 5/7}, 
   {1/7, 3/7, 0, 0, 0, 4/7, 4/7, 1, 0}, {1/7, 3/7, 2/7, 2/7, 0, 2/7, 0, 3/7, 
    0}, {0, 0, 0, 0, 5/7, 4/7, 0, 3/7, 1/7}, {2/7, 0, 1/7, 0, 2/7, 2/7, 1/7, 
    5/7, 0}, {3/7, 1, 0, 0, 2/7, 0, 0, 0, 1/7}, {0, 0, 2/7, 4/7, 1/7, 1/7, 0, 
    0, 1/7}, {1/7, 0, 2/7, 4/7, 2/7, 0, 1/7, 0, 0}, 
   {1/7, 4/7, 0, 0, 0, 0, 3/7, 0, 6/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 1/5, 0, 0, 2/5, 0, 3/5, 0, 3/5}, {3/5, 0, 1, 0, 0, 0, 0, 1/5, 0}, 
   {0, 2/5, 0, 2/5, 0, 0, 2/5, 0, 2/5}, {2/5, 4/5, 0, 0, 0, 2/5, 0, 0, 0}, 
   {2/5, 0, 0, 4/5, 0, 2/5, 4/5, 0, 0}, {0, 1/5, 2/5, 0, 0, 0, 0, 3/5, 4/5}, 
   {0, 1, 0, 2/5, 0, 0, 0, 1, 0}, {1/5, 0, 1, 0, 4/5, 2/5, 1/5, 0, 1/5}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {1/2, 1, 0, 0, 1, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 1, 1, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 1, 1/2, 1, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1, 1/2, 0, 1/2, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 1, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 0, 1/3, 0, 2/3, 0, 0}, {1/3, 0, 0, 1/3, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, {0, 2/3, 2/3, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 2/3, 0, 0}, {1/3, 0, 0, 0, 1/3, 0, 0, 2/3, 2/3}, 
   {1, 2/3, 0, 0, 1/3, 0, 0, 0, 0}, {0, 1, 1/3, 1/3, 0, 1, 2/3, 0, 2/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 0, 0, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 1, 1/3, 0, 1, 0, 1/3}, {2/3, 0, 0, 2/3, 1/3, 1/3, 0, 1/3}, 
   {0, 0, 0, 2/3, 1, 1/3, 0, 1/3}, {0, 2/3, 1/3, 1/3, 0, 0, 1, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1/2, 1, 1, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1/2}, 
   {0, 1, 0, 1, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 1/2, 1/2}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 1, 0, 0, 1/2, 1, 1/2, 0}, 
   {1, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {1/2, 1/2, 0, 1/2, 0, 0, 0, 1, 0}, {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 0, 1, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1}, {1, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 1, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1/3, 0, 1, 0, 0, 2/3, 0, 1/3, 1}, {0, 1, 0, 0, 2/3, 0, 0, 1, 1}, 
   {1, 0, 1, 2/3, 0, 0, 1, 0, 0}, {1/3, 2/3, 1, 0, 0, 0, 1/3, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 1, 1, 0, 0, 1/2, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1/2}, {1, 0, 0, 1/2, 1, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 1, 0}, {1, 0, 0, 1/2, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {1, 0, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 1/2, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 1, 0, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 1, 0, 0, 0, 0, 1/3}, 
   {0, 1, 2/3, 0, 0, 0, 0, 1/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 1, 1/3}, 
   {1/3, 1, 0, 0, 1, 0, 2/3, 0, 0}, {0, 0, 1, 2/3, 2/3, 0, 1, 0, 1/3}, 
   {1, 0, 0, 0, 0, 1, 1/3, 0, 0}, {1, 1/3, 0, 0, 1/3, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 1/3, 2/3, 0, 0, 2/3}, 
   {0, 1, 0, 1, 1, 0, 2/3, 2/3, 0}, {1/3, 0, 1/3, 0, 0, 1/3, 0, 0, 2/3}, 
   {2/3, 0, 1, 0, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 0, 1/3, 1/3, 0, 1/3, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 2/3, 2/3, 0}, {0, 1/3, 0, 2/3, 0, 1/3, 0, 1/3, 0}, 
   {1/3, 1, 0, 0, 0, 0, 0, 1/3, 0}, {1/3, 0, 1/3, 1/3, 1/3, 0, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 1}, {0, 1/2, 0, 1/2, 0, 0, 1, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 1/2, 0, 0, 0, 1/2, 1, 1, 0}, {0, 0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1}, 
   {1, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {1, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 1, 0, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 1, 0, 0, 1, 0}, {1/2, 1, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 5/13, 1, 0, 0, 0, 6/13, 0}, 
   {3/13, 0, 8/13, 4/13, 0, 0, 6/13, 3/13, 0}, {10/13, 4/13, 0, 0, 5/13, 
    11/13, 3/13, 0, 0}, {0, 0, 5/13, 6/13, 7/13, 0, 0, 0, 3/13}, 
   {0, 6/13, 2/13, 0, 7/13, 0, 0, 0, 6/13}, {7/13, 7/13, 0, 2/13, 0, 8/13, 0, 
    0, 0}, {0, 3/13, 8/13, 3/13, 0, 7/13, 6/13, 0, 6/13}, 
   {10/13, 10/13, 0, 11/13, 8/13, 0, 6/13, 0, 0}, 
   {0, 0, 11/13, 0, 6/13, 1, 0, 3/13, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 1, 0, 1/3, 1, 0, 0, 0}, 
   {1, 0, 0, 1/3, 0, 0, 2/3, 0, 2/3}, {1/3, 0, 2/3, 1/3, 0, 2/3, 2/3, 0, 0}, 
   {1, 0, 2/3, 0, 1/3, 1/3, 0, 0, 0}, {1/3, 0, 0, 0, 1/3, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 1, 1, 0, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 0, 0, 0, 2/3, 2/3}, 
   {0, 2/3, 0, 0, 2/3, 0, 2/3, 0, 2/3}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 1/2, 0, 1, 1, 0}, 
   {0, 1/2, 1, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 1, 0, 0, 1/2}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 3/4, 0, 0, 1/4, 0, 0, 0, 1}, 
   {1/4, 0, 1, 0, 0, 3/4, 0, 1, 0}, {0, 3/4, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1/4, 1/4, 0, 1, 0, 1/2, 1/2}, {1, 0, 1, 1/4, 0, 0, 0, 0, 1/2}, 
   {3/4, 1/4, 0, 0, 1/4, 0, 1/2, 0, 0}, {0, 1/4, 0, 3/4, 3/4, 0, 0, 0, 0}, 
   {1/4, 0, 0, 0, 0, 1/4, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 0, 1/2, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 0, 1/3, 1, 0, 1/3, 0}, 
   {2/3, 2/3, 0, 1, 0, 0, 1/3, 0, 1/3}, {2/3, 2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 1, 0, 0, 0, 1/3, 2/3}, {0, 0, 0, 1/3, 2/3, 0, 2/3, 1, 0}, 
   {0, 2/3, 0, 0, 1/3, 1, 1/3, 0, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1, 0, 0}, {1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 2/3, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 2/3, 0, 2/3, 2/3, 0, 0, 2/3, 0}, 
   {0, 1/3, 0, 2/3, 0, 1, 2/3, 0, 0}, {0, 1, 0, 0, 0, 1/3, 0, 0, 2/3}, 
   {1, 0, 1, 1, 1/3, 0, 2/3, 2/3, 0}, {1, 0, 1/3, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 0, 1, 1/3, 0, 2/3, 0, 0}, {0, 1/3, 0, 1/3, 1/3, 0, 2/3, 2/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/6, 0, 2/3, 0, 5/6, 1/6, 0, 0, 1/3}, {1/2, 5/6, 0, 1, 0, 1/6, 0, 0, 0}, 
   {0, 1/6, 1/3, 0, 2/3, 0, 0, 0, 2/3}, {0, 1/6, 5/6, 0, 1/2, 0, 0, 1/3, 0}, 
   {0, 0, 2/3, 0, 0, 1/6, 0, 1/6, 1/2}, {1/2, 1/6, 0, 0, 0, 5/6, 2/3, 0, 0}, 
   {1/3, 0, 1, 5/6, 0, 1/2, 1/6, 0, 0}, {0, 0, 1, 1/2, 0, 1/3, 2/3, 1/3, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/3, 0, 2/3, 0, 0, 1/3, 1}, {0, 1, 2/3, 0, 0, 0, 1, 2/3, 0}, 
   {0, 1/3, 0, 2/3, 0, 0, 1, 0, 2/3}, {0, 1, 2/3, 0, 0, 0, 0, 1/3, 1}, 
   {0, 1/3, 0, 2/3, 0, 0, 0, 1/3, 1/3}, {1, 0, 1/3, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 2/3, 0, 2/3, 2/3}, {0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1, 1, 0, 1/2}, {1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 1, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 1}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {1, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 1, 0, 1/2, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 0, 1, 1/2}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1/2}, {0, 0, 1/2, 1, 0, 0, 0, 1/2, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1/2, 0, 0, 1, 1}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 0, 0, 0, 0, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1/3, 2/3, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1/3, 1, 0, 0, 2/3, 0, 0}, {1, 0, 1/3, 0, 1, 1/3, 0, 0, 0}, 
   {2/3, 1, 0, 1/3, 0, 0, 0, 2/3, 0}, {0, 1, 0, 1, 0, 0, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1}, {0, 1/2, 0, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 0, 1, 0}, {1, 1/2, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 1, 0, 0}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 1, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 2/3, 1/3, 0, 1/3, 0}, {0, 2/3, 1/3, 0, 0, 1/3, 0, 1/3, 
    2/3}, {1/3, 0, 0, 0, 2/3, 0, 1/3, 0, 0}, {0, 1/3, 2/3, 0, 0, 1/3, 0, 1/3, 
    1/3}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 1/3, 0, 0, 0, 1}, 
   {1/3, 1/3, 0, 0, 0, 1, 2/3, 0, 1}, {2/3, 0, 1, 1, 1/3, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/3, 0, 2/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1/3, 1/3, 0, 1/3, 1/3, 0}, {1/3, 2/3, 2/3, 0, 1/3, 0, 0, 0, 
    0}, {1/3, 0, 1/3, 0, 1/3, 1/3, 1/3, 0, 2/3}, {1/3, 0, 2/3, 0, 0, 0, 1/3, 
    2/3, 0}, {1/3, 1/3, 1/3, 0, 0, 1/3, 0, 0, 1/3}, 
   {0, 1/3, 0, 0, 0, 2/3, 1/3, 0, 2/3}, {0, 0, 0, 2/3, 1/3, 0, 0, 0, 2/3}, 
   {1/3, 1/3, 0, 0, 0, 1/3, 0, 2/3, 0}, {0, 0, 0, 1/3, 0, 0, 0, 1/3, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1/2, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1, 1, 0, 0, 0}, {0, 1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {1, 1, 0, 1/2, 0, 0, 0, 0, 0}, {1/2, 1, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1/2, 0, 1/2}, {0, 0, 1, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 1, 1/2}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 0, 1, 0, 1, 1/2, 0, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1, 0}, {1/2, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 1/2, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 2/3, 1/3, 1/3, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1/3, 0, 0, 0, 1}, {0, 2/3, 0, 0, 0, 1/3, 1, 1/3, 0}, 
   {0, 0, 2/3, 1, 1, 0, 1/3, 1/3, 0}, {2/3, 0, 2/3, 1/3, 1/3, 0, 1/3, 1/3, 
    0}, {0, 0, 0, 0, 0, 1, 0, 2/3, 1}, {0, 0, 0, 0, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1, 0, 1, 1/2, 1, 0, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 0, 1, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/5, 1, 1/5, 0, 1, 2/5, 0, 2/5}, 
   {1/5, 0, 4/5, 0, 1/5, 4/5, 4/5, 0, 0}, {1, 4/5, 0, 0, 1, 0, 0, 0, 0}, 
   {1/5, 0, 0, 0, 1/5, 0, 1/5, 1, 1}, {0, 1/5, 1, 4/5, 3/5, 0, 0, 0, 0}, 
   {3/5, 4/5, 0, 1/5, 0, 1, 0, 0, 0}, {0, 0, 4/5, 0, 0, 0, 0, 2/5, 0}, 
   {2/5, 0, 0, 4/5, 0, 0, 4/5, 0, 0}, {0, 0, 4/5, 0, 2/5, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 1/2, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 1, 0, 1/2, 0, 0}, 
   {1, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{2/5, 2/5, 0, 0, 0, 3/5, 0, 0, 3/5}, {0, 0, 0, 3/5, 3/5, 0, 3/5, 1/5, 0}, 
   {0, 0, 0, 2/5, 0, 1/5, 2/5, 0, 3/5}, {0, 2/5, 4/5, 1/5, 1/5, 0, 0, 4/5, 
    1/5}, {0, 0, 0, 3/5, 1, 0, 2/5, 0, 1}, {2/5, 2/5, 0, 0, 0, 1, 1, 3/5, 0}, 
   {2/5, 0, 0, 0, 0, 0, 0, 4/5, 2/5}, {4/5, 2/5, 0, 2/5, 2/5, 0, 0, 4/5, 0}, 
   {0, 0, 2/5, 0, 0, 4/5, 2/5, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2}, {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 1, 1/2, 1, 1/2, 0, 0, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1/2, 1/2, 0, 1}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 3/7, 1, 3/7, 3/7, 0}, {2/7, 6/7, 0, 3/7, 0, 0, 0, 2/7, 1/7}, 
   {0, 6/7, 0, 3/7, 2/7, 0, 0, 0, 3/7}, {4/7, 0, 6/7, 0, 1/7, 1/7, 0, 0, 
    3/7}, {0, 0, 0, 0, 5/7, 1, 2/7, 0, 1}, {0, 0, 6/7, 1, 4/7, 0, 1/7, 1/7, 
    0}, {0, 0, 0, 4/7, 0, 6/7, 0, 0, 0}, {6/7, 0, 0, 4/7, 0, 0, 0, 0, 0}, 
   {0, 4/7, 0, 0, 0, 4/7, 2/7, 4/7, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 1/3}, {0, 1/3, 0, 2/3, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 2/3, 0, 0, 0, 2/3}, {0, 1/3, 2/3, 0, 2/3, 0, 2/3, 1/3}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 2/3, 2/3, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 3/4, 0, 0, 3/4, 1, 0, 0, 0}, 
   {0, 1/4, 0, 0, 0, 1, 3/4, 0, 3/4}, {0, 0, 3/4, 0, 0, 0, 3/4, 1, 0}, 
   {0, 0, 0, 1/4, 1, 0, 1/4, 0, 0}, {1, 0, 1/4, 0, 0, 1/4, 0, 0, 0}, 
   {0, 0, 0, 1/4, 0, 0, 1/4, 0, 1}, {0, 0, 0, 3/4, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 3/4, 0, 1, 0, 1, 0}, {1/4, 0, 1/2, 0, 0, 0, 1/4, 3/4, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 1}, {0, 0, 1, 0, 1, 1, 1, 0}, 
   {1/2, 0, 0, 1, 0, 1, 1/2, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 1/3, 0, 0, 1/3, 1/3}, {0, 0, 0, 1/3, 1, 0, 2/3}, 
   {0, 0, 0, 1/3, 0, 1, 1/3}, {2/3, 0, 1, 0, 1/3, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 2/5, 0, 0}, {3/5, 2/5, 0, 0, 0, 1/5, 0, 2/5, 4/5}, 
   {1, 0, 0, 4/5, 0, 1, 0, 0, 0}, {0, 2/5, 2/5, 0, 0, 4/5, 0, 0, 0}, 
   {0, 0, 0, 2/5, 0, 2/5, 0, 2/5, 2/5}, {4/5, 0, 0, 0, 2/5, 0, 2/5, 0, 0}, 
   {0, 3/5, 3/5, 0, 0, 1/5, 2/5, 0, 0}, {1/5, 0, 2/5, 1/5, 1, 0, 0, 0, 0}, 
   {1/5, 0, 0, 1/5, 3/5, 0, 2/5, 2/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 1, 1, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1, 1/2, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1, 1/2, 0}, {1, 0, 1, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1, 1, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 1, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 2/3, 0, 0, 0, 1, 1}, 
   {0, 1/3, 1, 0, 0, 2/3, 1, 0, 2/3}, {0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 1}, {0, 1/3, 1/3, 0, 2/3, 2/3, 0, 1/3, 1}, 
   {1, 0, 0, 2/3, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 2/3, 2/3, 0, 0, 0}, {0, 0, 2/3, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1/3, 1/3, 0, 0, 2/3, 0, 2/3}, {0, 0, 1, 1, 2/3, 0, 0, 0, 0}, 
   {1/3, 1/3, 0, 1/3, 0, 0, 0, 0, 2/3}, {0, 0, 1, 0, 1/3, 1, 0, 2/3, 0}, 
   {1/3, 1, 0, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/4, 1/4, 0, 1/2, 0, 1/4, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/4, 0, 0, 3/4}, 
   {0, 0, 0, 1/4, 1/2, 0, 1/4, 0, 1/4}, {1/2, 0, 0, 1/4, 0, 1/4, 0, 0, 1/4}, 
   {3/4, 0, 0, 0, 0, 1/4, 0, 1/4, 1/4}, {0, 0, 0, 1/4, 1/4, 0, 3/4, 1/4, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 3/4, 0, 0, 1/4}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 3/4, 
    1}, {1/4, 0, 0, 1/2, 0, 3/4, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 1/3, 2/3, 2/3, 0, 1/3, 2/3, 0}, {1, 1, 0, 0, 0, 2/3, 0, 1, 1}, 
   {0, 0, 1, 0, 2/3, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1/3, 0, 2/3, 0, 0, 1, 0, 0}, {0, 0, 1/3, 2/3, 2/3, 0, 0, 1, 1/3}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 1, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 1, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 2/3, 0, 0, 0, 1}, 
   {0, 1/3, 2/3, 0, 0, 1, 1/3, 0}, {0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 1, 0, 2/3, 0, 0, 0, 1}, 
   {1/3, 0, 0, 2/3, 2/3, 1, 1, 0}, {1/3, 0, 1, 1/3, 1/3, 2/3, 0, 1/3}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{2/3, 2/3, 0, 1, 1/3, 0, 0, 1/3, 0}, 
   {0, 0, 0, 0, 0, 1/3, 1, 0, 1/3}, {0, 0, 2/3, 0, 0, 1/3, 0, 1, 0}, 
   {2/3, 0, 0, 1, 1/3, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 1, 1, 0, 0, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1, 1, 1/2, 0, 1, 1/2, 0}, {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 0, 1, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 1, 0, 0, 0, 0, 1/2, 1}, {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1, 1, 0}, {1, 0, 1/2, 0, 0, 0, 1, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 1, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/4, 1, 0, 3/4, 0, 0, 3/4, 0}, {1/2, 1, 0, 1, 0, 1/4, 3/4, 1/4, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 3/4, 1}, {0, 0, 0, 0, 0, 1/2, 1/4, 0, 1/2}, 
   {1/4, 0, 0, 0, 0, 0, 0, 0, 3/4}, {1/2, 0, 0, 0, 0, 3/4, 0, 0, 0}, 
   {0, 1/4, 1/2, 1/4, 1/4, 0, 3/4, 0, 1/4}, {3/4, 1, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1, 3/4, 0, 0, 1, 1/4, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 2/3, 1/3, 0, 0, 1/3, 0}, {0, 1/3, 0, 0, 0, 1/3, 1/3, 0, 0}, 
   {1/3, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {1/3, 0, 1/3, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 2/3, 0, 2/3, 2/3, 0, 1/3, 0, 0}, {0, 0, 1/3, 0, 0, 1/3, 2/3, 0, 
    2/3}, {0, 0, 2/3, 0, 1/3, 0, 1/3, 0, 1}, {0, 1/3, 0, 1/3, 1/3, 0, 0, 2/3, 
    2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, {1/2, 0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 1, 0, 0, 1/2, 0}, {1/2, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 1, 0, 0, 1/3, 0, 0, 0, 1/3}, {0, 1/3, 1/3, 1/3, 0, 1, 0, 0, 0}, 
   {0, 0, 1/3, 2/3, 0, 1, 0, 0, 0}, {0, 0, 1, 1/3, 1, 0, 0, 0, 0}, 
   {0, 1/3, 2/3, 0, 2/3, 0, 0, 1/3, 1/3}, {0, 1, 0, 1/3, 0, 2/3, 0, 2/3, 0}, 
   {1, 0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/3, 1, 0, 1/3, 1/3, 0}, 
   {1/3, 0, 0, 0, 0, 0, 2/3, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1/3, 0, 0, 1/3, 1, 1/3, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 2/3, 1, 0, 0, 0, 1/3, 0, 1}, {0, 1, 2/3, 0, 0, 1/3, 0, 1/3, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/3, 1}, {1/3, 0, 0, 0, 1/3, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 2/3, 2/3, 2/3, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 1/3, 0, 1/3, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1, 1, 1/2, 1/2, 0, 1, 1, 0}, {0, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {0, 1/2, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1/2, 1, 0, 1/2}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1/2, 0, 0, 1, 0}, {1, 0, 0, 1/2, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 1, 0}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 1, 0}, {2/3, 0, 0, 1/3, 0, 0, 1, 0, 1/3}, 
   {0, 2/3, 2/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 1/3, 1/3, 1, 0, 1/3}, 
   {0, 0, 0, 1/3, 0, 2/3, 2/3, 1/3, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{3/7, 5/7, 5/7, 0, 0, 1/7, 1/7, 1/7, 0}, 
   {0, 2/7, 0, 6/7, 0, 5/7, 0, 0, 3/7}, {0, 2/7, 4/7, 3/7, 3/7, 0, 5/7, 5/7, 
    0}, {2/7, 0, 0, 1/7, 1, 0, 0, 0, 1/7}, {2/7, 0, 2/7, 0, 4/7, 1/7, 1/7, 
    1/7, 0}, {0, 0, 4/7, 0, 0, 3/7, 5/7, 3/7, 0}, 
   {4/7, 2/7, 0, 0, 0, 2/7, 0, 0, 0}, {2/7, 0, 0, 0, 0, 2/7, 0, 2/7, 2/7}, 
   {0, 0, 2/7, 0, 4/7, 0, 0, 0, 4/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 2/3, 0, 2/3, 0, 0, 1/3, 0}, {0, 0, 0, 2/3, 0, 1/3, 0, 0, 2/3}, 
   {0, 0, 1/3, 0, 1/3, 0, 1/3, 1/3, 0}, {0, 0, 0, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 0, 0, 0, 0, 1/3, 0, 1/3, 1/3}, {1, 0, 0, 0, 2/3, 0, 1/3, 1/3, 0}, 
   {1/3, 1/3, 0, 1/3, 1, 0, 1/3, 0, 2/3}, {0, 0, 0, 1, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/3, 0, 0, 1, 0, 1, 1/3}, {1, 1, 0, 1/3, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1/3, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1/3}, 
   {1/3, 2/3, 0, 2/3, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 2/3}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1/3}, {0, 0, 0, 0, 0, 0, 1, 0, 1/3}, 
   {1/3, 0, 0, 0, 0, 1/3, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1/3, 0, 0, 2/3, 0}, {1, 1/3, 0, 1, 0, 1/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 0, 2/3, 2/3, 0, 2/3}, {2/3, 2/3, 0, 2/3, 0, 2/3, 0, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 2/3, 0, 0}, {1/3, 1/3, 0, 0, 1, 0, 0, 0, 2/3}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/5, 2/5, 0, 4/5, 4/5, 0}, 
   {0, 0, 0, 0, 4/5, 0, 0, 2/5}, {0, 0, 0, 1/5, 1, 1, 4/5, 0}, 
   {0, 0, 4/5, 1, 0, 1/5, 0, 1}, {0, 3/5, 1, 0, 1/5, 0, 1, 1/5}, 
   {0, 0, 0, 1, 0, 0, 1/5, 3/5}, {0, 0, 1/5, 0, 1/5, 1, 0, 2/5}, 
   {3/5, 0, 3/5, 2/5, 0, 0, 1/5, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {0, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 0, 1/2, 0, 1}, {1/2, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 1, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 0, 1/2, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1/2, 1}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, {0, 1/2, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 2/7, 0, 4/7, 0, 0, 4/7, 4/7}, {4/7, 0, 6/7, 4/7, 0, 0, 0, 0, 2/7}, 
   {6/7, 0, 0, 4/7, 0, 6/7, 0, 0, 0}, {0, 1, 0, 3/7, 0, 3/7, 0, 2/7, 0}, 
   {2/7, 1, 0, 3/7, 0, 1/7, 0, 0, 0}, {3/7, 0, 1/7, 2/7, 1, 0, 2/7, 0, 0}, 
   {1/7, 0, 1, 1/7, 0, 1, 2/7, 0, 0}, {3/7, 0, 1, 3/7, 0, 5/7, 0, 2/7, 0}, 
   {0, 1, 0, 0, 1, 0, 4/7, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 2/3, 0, 1, 0, 2/3, 0, 2/3, 0}, {0, 0, 1, 0, 2/3, 1/3, 0, 0, 1/3}, 
   {0, 0, 0, 0, 2/3, 0, 1, 0, 2/3}, {0, 0, 1/3, 1/3, 0, 0, 2/3, 0, 1/3}, 
   {0, 1/3, 2/3, 2/3, 0, 0, 1/3, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1/3, 0}, 
   {1/3, 1/3, 0, 2/3, 0, 2/3, 0, 0, 1/3}, {0, 0, 0, 0, 0, 1/3, 0, 2/3, 1/3}, 
   {1/3, 0, 1/3, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, {1, 0, 0, 1, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1/2, 0, 1, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1/2, 1/2, 0, 0, 1, 1/2, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 1, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 1, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 0, 1, 0, 1}, {0, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 3/4}, {3/4, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1/2, 1/2, 0, 1/2, 3/4}, 
   {0, 1/2, 1/4, 1/4, 0, 1/2, 3/4, 0, 0}, {1, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 5/6, 1/6, 0, 1/3, 0, 0, 5/6}, {1/6, 1/3, 0, 0, 2/3, 2/3, 2/3, 
    1/3, 0}, {1/3, 1/2, 2/3, 0, 0, 0, 0, 1/6, 1/2}, 
   {0, 0, 1/3, 5/6, 0, 0, 2/3, 5/6, 0}, {2/3, 1/6, 0, 1/6, 0, 0, 0, 1/6, 
    1/3}, {5/6, 1/3, 0, 0, 0, 0, 0, 0, 1/2}, {1/6, 0, 0, 1/2, 0, 0, 1/3, 1/6, 
    0}, {0, 0, 2/3, 0, 1/6, 1/6, 1/6, 0, 0}, {0, 1/3, 1/3, 0, 1/3, 0, 0, 1/3, 
    1/6}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/2, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 1, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 1, 0, 1, 1/2, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 1, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 1, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 1/2, 0}, {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 1, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 0, 0, 1, 1}, 
   {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 1, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 0, 1/3, 2/3, 0, 0, 1/3}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/3, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1/3, 0, 1, 0, 1, 1, 0}, 
   {1/3, 2/3, 0, 1, 0, 0, 0, 0, 1/3}, {0, 1/3, 0, 1, 0, 0, 0, 1/3, 2/3}, 
   {0, 0, 2/3, 1, 0, 0, 2/3, 1/3, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1/3, 0, 0, 1, 0, 1, 0, 2/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/4, 0, 1/2, 3/4}, {0, 3/4, 0, 1/2, 0, 1/4, 0, 0, 0}, 
   {0, 0, 1/4, 1/4, 3/4, 0, 1/4, 0, 0}, {1/2, 1/2, 1/4, 0, 1/2, 1/4, 0, 1/4, 
    1/4}, {3/4, 0, 1/2, 0, 0, 1/4, 1, 1/2, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1}, 
   {1/4, 1/4, 0, 0, 0, 3/4, 3/4, 0, 1/2}, {0, 3/4, 0, 0, 1/2, 0, 3/4, 1, 0}, 
   {0, 0, 1/4, 1/2, 0, 1, 0, 0, 1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 2/3, 0, 1}, {1, 0, 1, 0, 2/3, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 2/3, 1, 0, 0, 0}, {0, 1/3, 1/3, 0, 0, 2/3, 0, 1/3, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 2/3, 1/3}, {0, 1, 0, 0, 1/3, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 2/3, 1, 0, 0, 0}, {1, 0, 0, 1, 1/3, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 0, 0, 2/3, 1/3, 0, 0}, {0, 2/3, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/3, 2/3, 0, 1, 0, 1}, {0, 0, 1/3, 1/3, 0, 2/3, 1/3, 0, 1}, 
   {2/3, 0, 0, 1/3, 1/3, 0, 0, 1, 0}, {0, 0, 0, 1/3, 1/3, 1, 0, 0, 2/3}, 
   {2/3, 0, 0, 0, 0, 1/3, 0, 1/3, 1/3}, {1/3, 1/3, 0, 1/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 1/3, 0, 0, 1/3, 2/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 2/3, 2/3, 0, 0}, {2/3, 0, 0, 0, 0, 0, 0, 2/3}, 
   {0, 0, 0, 1/3, 1/3, 1, 1/3, 0}, {0, 2/3, 1/3, 0, 0, 0, 0, 1/3}, 
   {0, 0, 0, 1/3, 1/3, 0, 2/3, 1}, {2/3, 0, 1/3, 0, 0, 1/3, 1/3, 0}, 
   {0, 0, 1, 2/3, 0, 1/3, 1/3, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/3, 1, 0, 0, 2/3}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1/3, 0, 1, 0, 1/3, 1, 0, 0, 0}, {0, 1, 0, 1/3, 0, 0, 0, 2/3, 0}, 
   {0, 2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {2/3, 0, 0, 0, 2/3, 0, 2/3, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 0, 1, 1, 0, 1/2}, 
   {1/2, 1, 0, 0, 0, 1, 0, 1, 0}, {1/2, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 1}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1/2, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1}, {1, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 1/2, 1, 0, 0}, {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1/2, 0, 1, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/4, 0, 0, 1/4, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 3/4, 1/2, 0}, {3/4, 3/4, 0, 0, 0, 0, 0, 1/4, 1/2}, 
   {1/4, 0, 1/4, 0, 1/4, 0, 1/4, 1/4, 1}, {1/2, 1, 0, 1, 1/4, 0, 1/2, 1/4, 
    0}, {0, 0, 1/2, 0, 1/4, 1/4, 0, 1/2, 1}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 
    0}, {0, 0, 1/4, 1/2, 0, 1/4, 0, 0, 1/4}, {1/2, 0, 1/2, 1/4, 0, 0, 0, 1/4, 
    0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 1, 1/2, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1/2, 1}, {1/2, 0, 1, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1, 2/3, 0, 0, 0, 0}, {2/3, 1/3, 0, 0, 0, 0, 1/3, 0, 2/3}, 
   {1, 0, 0, 0, 1/3, 0, 0, 0, 1}, {0, 1/3, 0, 2/3, 1/3, 1/3, 0, 2/3, 0}, 
   {0, 1, 0, 0, 1/3, 0, 0, 1, 1/3}, {1/3, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 2/3, 0, 2/3, 0, 2/3, 1/3, 0, 0}, {2/3, 1, 0, 0, 0, 0, 1, 0, 2/3}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/4, 3/4, 0, 0, 0, 3/4, 0, 1/2, 0}, 
   {0, 0, 0, 1/4, 0, 3/4, 1/2, 1/4, 0}, {0, 0, 0, 1/2, 1/4, 0, 1/4, 0, 3/4}, 
   {0, 1/4, 1/4, 1/2, 3/4, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/4, 1/2, 1/4, 0, 
    3/4}, {0, 0, 0, 0, 0, 0, 1/2, 1/2, 1}, {1/4, 0, 0, 1/4, 0, 0, 1/2, 1/2, 
    0}, {0, 1/2, 1/2, 0, 1/4, 1/2, 1/4, 0, 1/4}, {1/4, 0, 3/4, 0, 0, 1/2, 0, 
    1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 0, 0, 0, 1/3, 0}, {0, 1/3, 0, 0, 2/3, 0, 1/3, 0, 1/3}, 
   {1/3, 0, 2/3, 0, 2/3, 2/3, 0, 0, 1/3}, {0, 1, 1/3, 0, 2/3, 0, 1/3, 1/3, 
    0}, {1/3, 2/3, 0, 0, 0, 0, 2/3, 0, 1/3}, {0, 0, 1/3, 2/3, 0, 2/3, 1/3, 0, 
    0}, {1/3, 1, 0, 0, 0, 0, 0, 1, 1/3}, {2/3, 0, 1, 2/3, 0, 0, 1/3, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 1/2, 0, 1, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1}, {0, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 1}, 
   {1/2, 0, 1, 0, 1/2, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 1, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 1/2, 0}, {0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 2/3, 0, 0, 0, 0, 0}, 
   {0, 0, 2/3, 0, 2/3, 0, 0, 0, 2/3}, {2/3, 0, 0, 0, 1/3, 1/3, 1/3, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {2/3, 0, 0, 1/3, 0, 0, 0, 1/3, 1/3}, 
   {0, 2/3, 2/3, 1, 0, 0, 1/3, 0, 0}, {0, 0, 2/3, 1/3, 0, 2/3, 1/3, 2/3, 0}, 
   {0, 2/3, 0, 0, 1, 1, 0, 1, 1/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 2/3, 0, 0, 0, 1/3}, {1/3, 0, 0, 0, 1/3, 1, 0}, 
   {0, 1, 2/3, 0, 1/3, 1/3, 0}, {1/3, 0, 0, 0, 0, 2/3, 1}, 
   {1/3, 0, 0, 2/3, 0, 0, 1}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1/2, 1, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, {1, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1/2, 1, 0, 1/2, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1/2, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1/2, 0, 1/2, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 1/2, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 1, 0, 0, 0}, {1/2, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}, {0, 0, 0, 1, 1, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 1/2}, {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 1/2}, {1, 1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1/2, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {1/2, 1, 0, 1/2, 1/2, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 1/2, 0, 1, 0, 0, 1/2, 1/2, 0}, {0, 1/2, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1/2, 1, 0, 1, 1, 0, 1/2}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1/3, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/3, 1/3, 0, 0}, 
   {0, 1, 0, 0, 1/3, 0, 1/3, 2/3, 0}, {1/3, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1/3, 0, 0}, {1, 0, 2/3, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 2/3, 0, 0, 2/3}, {0, 0, 0, 0, 0, 0, 2/3, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1, 0, 1}, {1/2, 0, 0, 0, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, {1/2, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1/2, 1/2}, {0, 1/2, 0, 1, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 1/2, 0, 1, 0, 1, 0, 1/2}, {0, 0, 1/2, 1, 0, 1/2, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 0, 2/3, 0, 0, 0, 0, 0}, {0, 2/3, 1, 0, 0, 0, 2/3, 0, 1/3}, 
   {0, 0, 1/3, 0, 2/3, 2/3, 0, 0, 1}, {1/3, 1, 0, 0, 2/3, 0, 1, 1, 0}, 
   {2/3, 0, 1, 0, 0, 0, 1, 1/3, 0}, {1/3, 1/3, 0, 2/3, 0, 2/3, 0, 0, 1/3}, 
   {1/3, 1/3, 0, 2/3, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1, 0, 0, 1, 0, 1, 1/2, 0, 1/2}, {0, 1/2, 1/2, 0, 1, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1, 1/3, 0, 1, 0, 0, 0}, 
   {1/3, 1/3, 0, 0, 1, 0, 2/3, 0, 0}, {1, 1/3, 0, 1/3, 0, 1, 0, 0, 0}, 
   {0, 0, 1/3, 0, 1/3, 0, 0, 2/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 2/3}, 
   {2/3, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 0, 2/3}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0}, {1, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 1}, {0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2}, {1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 1/2, 1/2, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 1}, {0, 0, 1/2, 1, 0, 1/2, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1/2, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 2/3, 0, 0, 2/3, 0, 0, 1/3, 1/3}, 
   {1/3, 0, 0, 1, 0, 0, 1/3, 1/3, 0}, {1/3, 0, 0, 0, 1/3, 0, 0, 0, 1}, 
   {0, 1/3, 1/3, 2/3, 0, 0, 2/3, 0, 2/3}, {1/3, 0, 0, 1, 0, 1/3, 0, 0, 1}, 
   {2/3, 0, 1, 0, 1, 1, 1/3, 0, 0}, {0, 2/3, 2/3, 0, 0, 1/3, 0, 1/3, 0}, 
   {0, 1, 0, 0, 2/3, 2/3, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 0, 1, 1/2}, {0, 1, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/3, 1/3, 0, 1, 0, 1/3}, 
   {2/3, 0, 0, 0, 1/3, 0, 1/3, 0}, {0, 1/3, 1/3, 0, 1/3, 0, 1/3, 1/3}, 
   {0, 2/3, 0, 0, 2/3, 1/3, 0, 1/3}, {0, 0, 1/3, 1/3, 0, 0, 1, 2/3}, 
   {0, 2/3, 0, 1/3, 0, 0, 1/3, 0}, {1/3, 0, 0, 1/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 0, 0, 1/3, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1/2, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, {1/2, 1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 1, 0, 0, 2/3, 0}, {1/3, 0, 2/3, 2/3, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1/3, 0, 0, 2/3, 2/3}, {2/3, 0, 1/3, 1/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1/3, 0, 2/3, 0}, {0, 0, 0, 0, 2/3, 2/3, 2/3, 0, 1}, 
   {0, 1, 0, 1/3, 0, 0, 2/3, 0, 2/3}, {0, 1/3, 0, 1/3, 2/3, 2/3, 0, 0, 0}, 
   {0, 0, 1/3, 0, 0, 2/3, 1, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1, 1/2}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1}, 
   {0, 1/2, 1, 1/2, 0, 1/2, 0, 0, 1/2}, {1, 1, 0, 0, 1/2, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 2/3, 0, 0, 0, 1/3, 1}, 
   {1, 1/3, 0, 0, 0, 0, 1/3, 0, 0}, {0, 2/3, 1, 0, 2/3, 0, 1/3, 0, 0}, 
   {1/3, 1/3, 0, 0, 2/3, 2/3, 0, 1/3, 1}, {1, 1, 0, 0, 0, 2/3, 0, 1/3, 1}, 
   {0, 0, 2/3, 0, 0, 2/3, 0, 0, 0}, {2/3, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1/3, 1, 0}, {0, 0, 0, 1/3, 0, 0, 0, 2/3, 1}, 
   {2/3, 0, 2/3, 1/3, 0, 0, 0, 0, 1/3}, {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 2/3, 0, 0, 0}, {0, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 2/3, 2/3, 0, 1/3, 1/3, 0, 0, 1}, {0, 0, 0, 2/3, 1, 1/3, 0, 0, 1/3}, 
   {0, 2/3, 0, 1, 0, 0, 1, 1/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 0, 1/3, 0, 2/3, 0, 0}, {1/3, 0, 0, 1, 0, 1/3, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 2/3, 2/3}, {2/3, 2/3, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 0, 0, 2/3, 2/3, 0, 0, 2/3}, {1, 0, 0, 0, 1, 0, 2/3, 0, 0}, 
   {0, 1/3, 1, 1, 0, 1/3, 0, 0, 0}, {0, 1/3, 1, 1/3, 0, 1/3, 0, 2/3, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1/2}, {1, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 1, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 1, 0, 0, 0, 1}, {1/2, 0, 0, 1, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1, 0, 0}, {0, 0, 1/2, 1, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 1/2, 1, 1, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 1, 0}, 
   {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 0, 0, 2/3, 0, 0, 2/3, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 2/3}, 
   {0, 2/3, 0, 1, 0, 1/3, 0, 1/3}, {0, 0, 1/3, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1/3, 0, 1}, {0, 0, 1, 0, 1/3, 1/3, 0, 1/3}, 
   {0, 2/3, 0, 1/3, 0, 0, 1, 0}, {0, 0, 2/3, 1/3, 0, 2/3, 1/3, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 0, 2/3, 2/3, 0, 1}, 
   {1, 0, 2/3, 1/3, 0, 0, 0, 0, 0}, {1/3, 0, 0, 1, 2/3, 0, 1/3, 2/3, 0}, 
   {1/3, 0, 0, 0, 1, 0, 2/3, 0, 1}, {1/3, 1/3, 0, 0, 0, 1/3, 0, 2/3, 2/3}, 
   {0, 1, 0, 0, 0, 1, 1/3, 1, 0}, {0, 0, 1/3, 2/3, 0, 1, 2/3, 0, 0}, 
   {0, 1, 1/3, 2/3, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/3, 0, 1/3, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1/2, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 1}, 
   {1/2, 0, 0, 1, 1/2, 0, 1/2, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1/3, 0, 2/3, 1, 0}, 
   {2/3, 0, 0, 2/3, 0, 1, 0, 0, 1/3}, {0, 1, 0, 0, 0, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 1, 0, 0, 1/3, 1/3, 0}, {0, 1/3, 0, 0, 0, 0, 1/3, 0, 2/3}, 
   {0, 0, 1, 0, 2/3, 1, 0, 0, 0}, {1, 2/3, 0, 1/3, 1, 0, 0, 0, 1}, 
   {0, 2/3, 2/3, 1/3, 0, 1/3, 1/3, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/5, 0, 3/5, 0, 3/5, 1}, 
   {0, 2/5, 2/5, 3/5, 0, 1/5, 0, 0}, {4/5, 0, 1/5, 2/5, 0, 0, 3/5, 0}, 
   {2/5, 0, 0, 1/5, 3/5, 1/5, 0, 1/5}, {0, 0, 1/5, 0, 4/5, 2/5, 1/5, 0}, 
   {0, 0, 1/5, 1/5, 0, 2/5, 0, 3/5}, {0, 2/5, 1/5, 3/5, 0, 0, 0, 1/5}, 
   {2/5, 0, 0, 0, 3/5, 3/5, 1/5, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1, 1/2, 0, 1, 1/2, 1/2, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1/2, 1/2}, 
   {0, 1, 1, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 1/2, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1/2, 1, 0, 1/2, 1, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1/2, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 1, 1, 0, 1/2, 0}, {0, 0, 1, 1/2, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 1/3, 0}, {2/3, 0, 2/3, 1/3, 0, 0, 0, 0, 1/3}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 2/3, 0, 1, 1/3, 0, 2/3, 1/3}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 2/3, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {0, 0, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {2/3, 2/3, 0, 0, 0, 0, 0, 2/3, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1}, {0, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1/2, 1, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 1, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 0, 1, 1/2, 0, 0}, {1/2, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 2/3, 2/3, 0, 0, 2/3, 0, 2/3, 0}, {0, 2/3, 0, 0, 2/3, 0, 2/3, 2/3, 0}, 
   {0, 0, 2/3, 2/3, 0, 2/3, 0, 0, 2/3}, {0, 0, 1, 1, 2/3, 0, 0, 0, 0}, 
   {0, 0, 1, 1/3, 0, 0, 2/3, 0, 0}, {1, 1/3, 0, 0, 1/3, 1, 0, 0, 0}, 
   {0, 0, 1/3, 0, 1, 1/3, 0, 0, 2/3}, {1, 1/3, 0, 1, 0, 0, 0, 2/3, 0}, 
   {2/3, 0, 1, 0, 1, 1/3, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/4, 0, 1, 1, 0, 0, 1/4}, {3/4, 0, 0, 1/4, 1/4, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 0, 1/4, 0, 1/4}, {1/4, 0, 0, 0, 1/2, 3/4, 1, 0, 0}, 
   {1/4, 1/4, 0, 0, 1/4, 0, 3/4, 0, 3/4}, {0, 1/2, 3/4, 1/2, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/4, 1/2, 0, 1, 3/4}, {0, 1/4, 1/4, 1/2, 0, 1/4, 0, 1/4, 
    0}, {0, 3/4, 0, 3/4, 0, 0, 1/4, 0, 1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1/2, 1/2, 0, 1}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, {0, 0, 0, 1/2, 0, 0, 0, 1/2, 1}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 4/5, 2/5, 0, 0, 1/5, 0, 0, 1/5}, 
   {0, 4/5, 0, 3/5, 1/5, 0, 1/5, 1/5, 0}, {0, 0, 2/5, 0, 0, 1, 0, 0, 1}, 
   {2/5, 0, 2/5, 0, 4/5, 0, 0, 2/5, 0}, {0, 4/5, 2/5, 0, 0, 0, 0, 0, 2/5}, 
   {0, 0, 0, 2/5, 4/5, 0, 0, 0, 0}, {4/5, 4/5, 0, 0, 0, 1, 1/5, 1/5, 0}, 
   {4/5, 0, 4/5, 1, 1/5, 0, 0, 0, 1/5}, {2/5, 0, 0, 0, 0, 1, 1, 3/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1, 1/2, 0, 1}, {1, 0, 1, 0, 0, 1/2, 1, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1}, {0, 0, 1/2, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/3, 1/3, 0, 1/3, 2/3, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1/3, 0, 1/3, 2/3, 1/3, 0, 2/3, 0, 2/3}, 
   {0, 1, 0, 1, 0, 1, 0, 2/3, 0}, {1, 0, 1, 0, 1/3, 0, 0, 0, 2/3}, 
   {0, 0, 2/3, 0, 0, 0, 0, 2/3, 0}, {0, 2/3, 0, 0, 0, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 1/2, 1, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 0, 1, 0, 0, 1/2}, {1/2, 1, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 0}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 2/5, 4/5, 0, 0, 1/5, 0}, {1, 1/5, 0, 0, 0, 0, 3/5, 0, 1}, 
   {2/5, 0, 1, 0, 2/5, 0, 0, 1/5, 0}, {2/5, 0, 0, 0, 0, 2/5, 0, 4/5, 0}, 
   {4/5, 0, 0, 0, 0, 0, 2/5, 4/5, 0}, {0, 2/5, 4/5, 0, 0, 4/5, 0, 0, 2/5}, 
   {0, 0, 1/5, 2/5, 2/5, 0, 3/5, 0, 1}, {1/5, 1, 0, 0, 0, 0, 2/5, 1/5, 0}, 
   {0, 2/5, 1/5, 2/5, 0, 0, 1/5, 0, 3/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1}, {0, 0, 1, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 1/2, 0, 0, 0, 1, 1}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{6/7, 0, 0, 0, 0, 3/7, 0, 5/7, 0}, 
   {0, 2/7, 0, 3/7, 1, 0, 3/7, 0, 3/7}, {0, 0, 2/7, 0, 0, 5/7, 1/7, 0, 5/7}, 
   {0, 0, 0, 3/7, 1, 0, 0, 1, 0}, {0, 0, 6/7, 1/7, 1/7, 0, 0, 5/7, 0}, 
   {0, 6/7, 0, 4/7, 0, 4/7, 4/7, 0, 0}, {0, 6/7, 4/7, 0, 0, 4/7, 0, 4/7, 0}, 
   {2/7, 0, 0, 2/7, 2/7, 0, 4/7, 0, 4/7}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 1/2, 1, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 1, 0, 1/2, 0, 1, 0, 0, 1}, 
   {0, 1/2, 0, 0, 0, 1/2, 1, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 1, 1/2, 1}, {0, 1/2, 0, 0, 1, 1, 1, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 0, 1}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 0, 0, 1, 1/2}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 1/2, 0, 1, 1, 0, 1/2}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1/2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 0, 1, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/3, 1/3, 0, 1, 1/3, 0, 0}, {0, 0, 0, 2/3, 1/3, 0, 0, 0, 1}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 0, 1/3, 1/3}, {0, 0, 0, 0, 0, 1, 0, 2/3, 1/3}, 
   {1/3, 0, 0, 0, 1/3, 1, 0, 1/3, 0}, {0, 0, 0, 1/3, 2/3, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 2/3, 0, 0, 1, 2/3}, {0, 2/3, 0, 1/3, 2/3, 0, 0, 1, 0}, 
   {1/3, 1/3, 0, 0, 0, 1, 2/3, 0, 1/3}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{4/5, 1/5, 1/5, 0, 0, 1/5, 0, 1/5, 2/5}, {0, 3/5, 1/5, 4/5, 0, 2/5, 0, 
    1/5, 0}, {1, 1/5, 0, 0, 2/5, 0, 0, 0, 3/5}, {1/5, 0, 0, 0, 4/5, 2/5, 0, 
    0, 0}, {3/5, 0, 2/5, 0, 1/5, 0, 0, 0, 1/5}, {0, 0, 0, 0, 0, 2/5, 1/5, 0, 
    1}, {1/5, 0, 0, 2/5, 0, 1/5, 3/5, 3/5, 0}, {0, 4/5, 1, 0, 4/5, 0, 0, 0, 
    0}, {0, 0, 0, 2/5, 0, 0, 4/5, 4/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 1/2, 1}, {0, 1, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 1/2, 1, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 1, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 1/2, 1/2}, {0, 1, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{4/9, 0, 0, 1/9, 0, 5/9, 0, 0, 1/9}, {0, 0, 2/3, 0, 1/9, 0, 1, 1/3, 0}, 
   {0, 8/9, 2/9, 0, 2/3, 0, 0, 2/3, 0}, {0, 2/3, 2/3, 2/9, 0, 2/3, 0, 0, 
    2/9}, {0, 0, 0, 2/9, 0, 0, 0, 2/3, 8/9}, {4/9, 0, 0, 0, 1/3, 0, 2/3, 0, 
    5/9}, {8/9, 0, 0, 5/9, 0, 1/9, 1, 1/3, 0}, {0, 4/9, 4/9, 4/9, 5/9, 0, 0, 
    0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 2/3, 1/3, 0, 1, 1, 0}, {0, 2/3, 0, 1/3, 0, 1, 0, 1/3, 1/3}, 
   {0, 0, 0, 2/3, 0, 1, 0, 0, 1}, {0, 0, 2/3, 0, 1/3, 0, 0, 2/3, 1/3}, 
   {0, 0, 0, 1/3, 1, 0, 0, 0, 1}, {2/3, 0, 0, 0, 0, 1, 1/3, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 0, 2/3}, {0, 0, 2/3, 0, 0, 2/3, 2/3, 0, 0}, 
   {2/3, 0, 0, 1/3, 2/3, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/4, 1/4, 0, 0, 1/4, 3/4, 0, 3/4, 1/4}, {3/4, 1, 0, 1/4, 0, 0, 1/4, 1/2, 
    0}, {1/4, 0, 1/4, 1/2, 1/2, 0, 1, 0, 1}, {0, 0, 0, 1/4, 1/2, 0, 0, 0, 
    1/4}, {0, 0, 0, 0, 1/4, 0, 0, 1/4, 1/2}, {1/4, 0, 3/4, 0, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 3/4, 1, 0, 1/4}, {0, 1/4, 1/4, 1/2, 0, 1/2, 1/4, 1/4, 
    0}, {0, 0, 3/4, 3/4, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1, 0, 1, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/3, 0, 0, 0, 0, 1/6, 1/3}, {1/6, 0, 2/3, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/6, 1/6}, {0, 1, 1/3, 0, 5/6, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 5/6, 1}, {0, 5/6, 0, 1/3, 5/6, 0, 1/3, 0, 0}, 
   {1, 0, 2/3, 0, 1, 0, 0, 1/6, 1/6}, {5/6, 0, 0, 0, 0, 5/6, 1, 1/6, 0}, 
   {0, 1/6, 0, 5/6, 0, 5/6, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 0, 1, 1/2, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 1/2, 1, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{4/5, 0, 0, 0, 0, 2/5, 0, 0, 2/5}, {0, 2/5, 0, 0, 0, 0, 4/5, 0, 2/5}, 
   {2/5, 0, 0, 2/5, 0, 0, 0, 2/5, 0}, {0, 2/5, 1, 2/5, 0, 0, 1/5, 0, 0}, 
   {1/5, 1, 0, 0, 4/5, 4/5, 0, 1, 1/5}, {0, 0, 1, 2/5, 2/5, 0, 3/5, 0, 0}, 
   {0, 0, 1, 0, 2/5, 4/5, 0, 3/5, 1/5}, {1, 3/5, 0, 0, 0, 0, 1, 0, 2/5}, 
   {3/5, 1, 0, 2/5, 0, 0, 3/5, 2/5, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 1/3, 0, 1/3, 0, 0, 2/3, 0}, {0, 1, 1/3, 1/3, 0, 0, 0, 0, 1/3}, 
   {0, 2/3, 0, 2/3, 1/3, 0, 1/3, 0, 1/3}, {0, 1, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {1/3, 1, 0, 2/3, 1/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1/3, 2/3, 0, 2/3}, 
   {1/3, 1/3, 0, 0, 1/3, 2/3, 0, 1/3, 0}, {1, 0, 1, 1/3, 0, 0, 0, 0, 0}, 
   {0, 1/3, 0, 0, 0, 2/3, 1/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 1/2, 0, 1}, {0, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 1}, 
   {1/2, 0, 0, 1/2, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 1, 0, 0, 0, 1}, {1, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 0}, {1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1/2, 1, 0, 1, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/3, 1, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 1, 2/3, 1/3, 0, 1/3, 0, 0}, {1/3, 0, 1, 2/3, 0, 0, 2/3, 0, 0}, 
   {2/3, 1, 0, 2/3, 0, 0, 1/3, 0, 1/3}, {0, 0, 2/3, 1/3, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 2/3, 2/3, 0, 1/3, 1/3}, {0, 0, 1/3, 0, 0, 1/3, 1/3, 0, 1}, 
   {1/3, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1/3, 0, 0, 2/3, 0, 1/3, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 0, 1, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 1/2, 1, 0, 1, 0, 1/2, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 1/2, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 1/2, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 1, 0, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {1/2, 1, 1, 0, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1/2, 0, 1, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 1}, {0, 0, 1/2, 1, 0, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 1/2, 0, 0, 0, 1, 1/2, 1, 0}, 
   {0, 1/2, 1, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/5, 2/5, 1/5, 0, 0, 4/5, 0, 2/5, 0}, {1/5, 0, 3/5, 2/5, 0, 0, 2/5, 0, 
    4/5}, {2/5, 1/5, 0, 0, 1/5, 3/5, 0, 3/5, 0}, {0, 0, 2/5, 0, 2/5, 0, 3/5, 
    0, 1/5}, {2/5, 1/5, 1, 0, 0, 2/5, 0, 0, 0}, {0, 1/5, 0, 3/5, 2/5, 0, 2/5, 
    0, 0}, {2/5, 4/5, 0, 0, 0, 2/5, 0, 0, 2/5}, {0, 0, 2/5, 3/5, 2/5, 0, 0, 
    1, 0}, {0, 0, 0, 1/5, 0, 0, 2/5, 1, 2/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1, 1, 1, 0, 1/2, 0, 0}, {1, 1, 1/2, 0, 0, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {1/2, 1, 0, 1/2, 1/2, 0, 0, 1/2, 
    0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1/2, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 1/2, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1, 1/2, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 1/2, 1, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1}, 
   {1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 2/3, 1/3, 0, 0}, {0, 1/3, 0, 0, 0, 1/3, 1}, 
   {0, 2/3, 0, 0, 0, 2/3, 0}, {0, 0, 2/3, 0, 2/3, 0, 0}, 
   {0, 1/3, 0, 2/3, 1, 0, 2/3}, {0, 1/3, 2/3, 0, 1, 2/3, 0}, 
   {1, 0, 0, 0, 0, 1/3, 1/3}}, {{2, 2, 3}, {2, 2, 3}}}, 
 {{{0, 1/2, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1, 1, 0, 1/2, 0}, 
   {1/2, 1, 0, 1/2, 0, 0, 1, 0, 1}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 1, 1/2, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 1/2, 1, 0, 1/2}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 0, 1, 0, 1/2}, {1, 0, 1/2, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 1/2, 0, 1}, 
   {1/2, 0, 1, 0, 0, 1/2, 1, 0}, {1, 0, 1/2, 0, 0, 0, 1, 1/2}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 1, 0, 1, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2, 0}, 
   {1/2, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1/2, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1/2, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 1/2, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1, 0, 1/2, 0, 1/2}, {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1/2, 0}, {1, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, {1/2, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/5, 0, 0, 2/5, 2/5, 2/5, 0, 0}, 
   {2/5, 0, 0, 0, 0, 0, 0, 0, 2/5}, {0, 0, 0, 4/5, 1/5, 3/5, 0, 0, 1/5}, 
   {2/5, 0, 2/5, 3/5, 0, 0, 1/5, 1/5, 0}, {0, 0, 2/5, 0, 1/5, 3/5, 0, 4/5, 
    1}, {0, 0, 0, 0, 3/5, 3/5, 1, 1/5, 0}, {0, 2/5, 0, 0, 1/5, 1/5, 3/5, 3/5, 
    0}, {0, 4/5, 2/5, 3/5, 2/5, 0, 0, 0, 1/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 0, 1, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1/2, 1, 1/2, 0, 0, 0, 0}, {1/2, 1/2, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1/2}, {1/2, 0, 0, 0, 0, 1, 1/2, 0, 1}, 
   {1/2, 0, 0, 1/2, 1, 0, 0, 1, 0}, {0, 1, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 1/2, 1, 1, 0, 1, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/5, 2/5, 0, 0, 2/5, 0, 2/5, 0}, {0, 0, 2/5, 0, 2/5, 0, 2/5, 4/5, 0}, 
   {2/5, 0, 0, 4/5, 0, 0, 2/5, 0, 2/5}, {0, 0, 0, 0, 1, 0, 2/5, 0, 1}, 
   {4/5, 0, 0, 0, 1, 2/5, 0, 0, 1/5}, {0, 0, 0, 1, 0, 1, 1/5, 1, 0}, 
   {0, 4/5, 2/5, 0, 1, 0, 3/5, 3/5, 0}, {0, 2/5, 0, 2/5, 1, 0, 1/5, 1, 0}, 
   {2/5, 0, 0, 1/5, 0, 1, 2/5, 0, 3/5}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 3/4, 0, 1/4, 1/4, 0, 1, 0, 0}, {0, 1, 0, 3/4, 0, 1/4, 3/4, 0, 1/4}, 
   {0, 0, 3/4, 0, 0, 1, 0, 1, 1}, {0, 0, 3/4, 0, 0, 1/4, 1, 1/4, 0}, 
   {0, 3/4, 0, 1, 1/4, 0, 0, 3/4, 1}, {0, 0, 1, 0, 0, 1/2, 1, 0, 0}, 
   {1/4, 0, 0, 0, 1/2, 0, 0, 1/4, 0}, {1, 0, 0, 0, 0, 1/4, 0, 0, 0}, 
   {0, 0, 0, 0, 3/4, 0, 0, 1/4, 1/4}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 0, 0, 1, 0, 0, 1, 1}, {2/3, 0, 0, 1, 0, 1/3, 1, 0, 0}, 
   {1/3, 1/3, 1/3, 2/3, 1/3, 0, 1/3, 0, 0}, {0, 0, 2/3, 1, 0, 1, 0, 1/3, 1}, 
   {2/3, 0, 2/3, 0, 1/3, 0, 1/3, 0, 2/3}, {0, 0, 0, 0, 1, 2/3, 1, 0, 0}, 
   {0, 2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 2/3, 1/3, 1/3, 0, 1/3, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 2/3}, 
   {0, 0, 1/3, 2/3, 0, 1, 0, 0, 1}, {2/3, 1/3, 1/3, 0, 1/3, 0, 1/3, 0, 0}, 
   {1, 0, 1/3, 0, 0, 0, 2/3, 0, 0}, {0, 1/3, 0, 0, 1, 0, 1/3, 0, 0}, 
   {2/3, 0, 0, 0, 1/3, 0, 1/3, 0, 1/3}, {0, 1/3, 1/3, 1/3, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{2/5, 0, 2/5, 0, 2/5, 1, 1/5, 0, 0}, 
   {0, 2/5, 0, 3/5, 1/5, 0, 0, 3/5, 1}, {2/5, 0, 0, 0, 0, 1, 3/5, 2/5, 0}, 
   {0, 2/5, 0, 0, 2/5, 0, 2/5, 2/5, 0}, {0, 0, 0, 2/5, 4/5, 0, 0, 2/5, 0}, 
   {0, 0, 2/5, 2/5, 0, 0, 4/5, 0, 2/5}, {0, 2/5, 0, 0, 0, 1, 0, 1/5, 1}, 
   {2/5, 0, 0, 1, 3/5, 0, 1, 0, 0}, {2/5, 0, 2/5, 3/5, 3/5, 0, 3/5, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1, 0, 1/2, 1, 0, 0, 0}, {1/2, 0, 1/2, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1/2, 0, 0, 1, 0, 1/2}, 
   {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 2/3, 1, 1/3, 0}, 
   {0, 0, 2/3, 1, 0, 1, 0, 0, 1/3}, {0, 0, 0, 0, 1/3, 0, 1, 1, 0}, 
   {0, 2/3, 0, 1/3, 0, 1/3, 1, 1, 0}, {2/3, 2/3, 0, 0, 1/3, 0, 0, 0, 1/3}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 2/3, 0, 0, 0, 0, 2/3}, 
   {2/3, 0, 2/3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 2/3, 2/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 1/2, 0}, {0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, {1, 0, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1/2, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 0}, {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1/2, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 0, 1}, {0, 1/2, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 1/2, 1}, {1, 0, 0, 1, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, {0, 0, 1/2, 0, 1, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1/2, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1/2, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 2/5, 2/5, 0, 0}, {0, 0, 2/5, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1/5, 0, 1, 4/5, 0, 0, 0}, {3/5, 4/5, 1/5, 0, 1/5, 0, 2/5, 2/5, 0}, 
   {0, 1, 2/5, 3/5, 0, 3/5, 2/5, 0, 0}, {0, 1, 2/5, 0, 3/5, 0, 0, 2/5, 2/5}, 
   {2/5, 1/5, 0, 4/5, 3/5, 0, 0, 0, 2/5}, {1, 0, 3/5, 1, 0, 1/5, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 1/2, 0, 1, 1/2, 0, 0, 1/2}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 0, 1, 0, 1, 0, 0, 1/2, 0}, 
   {1, 0, 0, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 1/2, 0, 1, 0, 0, 0, 1/2}, {0, 1, 0, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1/2, 0, 1, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 0, 1, 1, 0, 1/2, 0}, {0, 1, 1, 1/2, 0, 0, 0, 1, 0}, 
   {1, 1/2, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1/2, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1/2, 1, 0, 0, 0, 1/2, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1, 1}, {1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 2/3, 0, 0, 1, 0, 0, 1/3}, {0, 0, 0, 0, 1/3, 2/3, 0, 1/3, 2/3}, 
   {2/3, 2/3, 0, 0, 1, 0, 0, 1/3, 0}, {1/3, 2/3, 2/3, 0, 0, 1/3, 0, 1/3, 0}, 
   {1/3, 2/3, 0, 2/3, 0, 1, 1/3, 1/3, 0}, {0, 0, 2/3, 1, 1, 0, 0, 0, 1/3}, 
   {1/3, 0, 0, 0, 0, 0, 1/3, 0, 1/3}, {0, 0, 0, 1/3, 0, 0, 1/3, 0, 0}, 
   {0, 0, 1/3, 0, 0, 0, 2/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 1/2, 0}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 1/2}, {0, 1, 0, 0, 1, 0, 1, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1}, {1/2, 0, 1/2, 0, 1, 1, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 1, 1/2, 1/2, 0}, {0, 0, 0, 1, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 1, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 0, 1/2, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 1/2, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1/2, 1}, {0, 1/2, 0, 1, 0, 0, 0, 1/2, 1}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1/2, 1, 0, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1/2, 0, 1, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {1/2, 0, 1, 0, 1, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 1, 1/2, 0}, {1, 1/2, 0, 0, 0, 0, 1/2, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 1}, {1/2, 1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 1, 0, 0, 0, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 1/2, 0, 0, 0, 0, 1}, {0, 0, 1/2, 0, 1, 0, 0, 1/2, 1/2}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 1, 1/2, 0, 0, 0, 0, 1/2}, 
   {1, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 1, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 2/3, 0, 0, 2/3, 2/3, 0}, {0, 0, 0, 2/3, 2/3, 0, 0, 0, 0}, 
   {1/3, 0, 2/3, 0, 1/3, 0, 0, 1/3, 0}, {1/3, 2/3, 0, 0, 0, 2/3, 0, 1/3, 
    1/3}, {0, 0, 1, 0, 1/3, 0, 1, 1/3, 0}, {1/3, 0, 1, 1/3, 0, 0, 1, 0, 0}, 
   {0, 1/3, 0, 0, 0, 2/3, 1/3, 0, 2/3}, {0, 0, 1/3, 1/3, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 2/3, 0, 1/3, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 3/5, 0, 1, 2/5, 0, 0, 0}, 
   {0, 1, 0, 1/5, 0, 3/5, 4/5, 0, 4/5}, {3/5, 0, 3/5, 0, 1/5, 0, 2/5, 4/5, 
    0}, {0, 2/5, 0, 0, 0, 0, 0, 0, 2/5}, {0, 0, 0, 2/5, 0, 0, 2/5, 0, 0}, 
   {2/5, 2/5, 0, 0, 0, 0, 0, 0, 0}, {0, 3/5, 2/5, 0, 1/5, 2/5, 0, 4/5, 0}, 
   {1, 0, 1, 3/5, 0, 3/5, 0, 0, 4/5}, {0, 1/5, 0, 2/5, 3/5, 0, 0, 2/5, 4/5}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {1/2, 1, 0, 1, 1, 0, 0, 1/2, 0}, {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 1}, {1/2, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1, 0}, {0, 0, 1/2, 1, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1, 0, 0, 0, 1/2, 0}, {0, 1, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 1/2, 0, 1/2, 0, 1}, {0, 0, 1/2, 0, 1, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 1/2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1/2}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 1, 1/3, 2/3, 0, 1/3, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 2/3, 0, 1}, {2/3, 2/3, 0, 0, 1/3, 1, 0, 1/3, 0}, 
   {0, 0, 0, 0, 1/3, 1/3, 0, 1, 1/3}, {1, 0, 1/3, 0, 0, 0, 0, 0, 2/3}, 
   {2/3, 2/3, 0, 0, 2/3, 0, 0, 1/3, 0}, {0, 0, 2/3, 1/3, 0, 2/3, 0, 0, 0}, 
   {1/3, 1/3, 0, 1, 0, 0, 1/3, 2/3, 0}, {0, 0, 2/3, 0, 0, 0, 2/3, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 1, 0, 2/3, 0, 1/3, 0, 0}, 
   {0, 0, 0, 2/3, 2/3, 0, 0, 0, 1}, {2/3, 0, 0, 0, 0, 1, 0, 2/3, 0}, 
   {2/3, 0, 0, 0, 0, 1, 2/3, 0, 1}, {1, 0, 0, 1, 1, 0, 2/3, 1, 0}, 
   {0, 0, 2/3, 2/3, 0, 1, 0, 0, 1/3}, {0, 2/3, 0, 0, 0, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 1/3, 1/3, 0, 2/3, 0, 1/3}, {0, 1/3, 1/3, 0, 2/3, 0, 0, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1}, {0, 0, 0, 0, 1/2, 1, 0, 1/2, 1/2}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1/2, 0, 0, 0, 1, 0, 1, 0, 1/2}, 
   {1, 1/2, 0, 1, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 1}, {2/3, 2/3, 0, 0, 1, 0, 1/3, 1/3, 0}, 
   {0, 0, 0, 2/3, 0, 1, 0, 1, 0}, {0, 0, 1, 1/3, 1, 0, 0, 0, 0}, 
   {1/3, 0, 2/3, 0, 1, 0, 0, 0, 1/3}, {0, 0, 0, 1, 0, 0, 0, 0, 1/3}, 
   {1/3, 2/3, 0, 1/3, 0, 0, 0, 0, 0}, {2/3, 0, 1/3, 0, 0, 1/3, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1/2, 0, 1, 0}, {1/2, 0, 1/2, 1/2, 1, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 0, 1, 0, 1, 1/2, 0, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 0, 0, 0}, 
   {0, 2/3, 1/3, 2/3, 0, 1, 0, 1/3}, {2/3, 0, 0, 1, 1/3, 0, 1, 0}, 
   {0, 0, 1, 0, 2/3, 1/3, 0, 1}, {2/3, 0, 0, 1, 1/3, 1, 0, 1}, 
   {0, 2/3, 1/3, 2/3, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 2/3, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 1}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 1, 0, 0, 1/2, 0, 1}, {0, 1, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 1/2, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1, 1, 0, 1/2, 0, 1/2, 1, 0, 1}, 
   {1, 1/2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1/2, 1, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1/2}, {0, 0, 0, 1, 0, 1/2, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1/2, 0, 0, 0, 0, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 1, 0, 1/2, 0, 1, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 1, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 1, 0, 0}, 
   {0, 1/2, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 1/2, 1/2, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/3, 2/3, 1, 0}, {0, 1, 1, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1/3, 1}, {1, 1/3, 0, 1/3, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1/3, 0, 1}, {0, 1/3, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 2/3, 0, 1, 1/3, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1/2}, {0, 1/2, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 1, 0, 1/2, 0, 0, 1, 1, 0}, {0, 0, 1, 1/2, 0, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 1, 1/2, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 1/2, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1/2, 1/2, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1/2, 1, 0, 0, 1/2, 0}, {1, 0, 1/2, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 1/2, 0, 1, 0, 0, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 0, 1/2, 0, 0, 1, 0, 0}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 2/3, 1, 0, 0, 1, 0, 2/3}, 
   {0, 0, 0, 0, 1, 1/3, 0, 1, 1/3}, {0, 0, 2/3, 1/3, 2/3, 0, 1/3, 2/3, 0}, 
   {0, 2/3, 0, 1, 0, 0, 0, 1/3, 1/3}, {0, 0, 0, 1, 0, 0, 0, 1/3, 1}, 
   {0, 0, 0, 0, 1/3, 1, 1, 0, 0}, {0, 0, 0, 0, 2/3, 2/3, 0, 0, 2/3}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 2/3, 0}, {2/3, 0, 0, 2/3, 0, 0, 2/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 2/3, 0, 0, 0, 0, 1/3}, 
   {0, 0, 1/3, 0, 0, 0, 2/3, 0, 0}, {1/3, 1, 0, 0, 0, 1, 0, 2/3, 0}, 
   {0, 1, 0, 2/3, 0, 2/3, 1/3, 1/3, 0}, {1, 0, 1, 0, 2/3, 0, 0, 0, 1}, 
   {0, 1, 0, 1/3, 1, 0, 0, 0, 1/3}, {1, 0, 2/3, 0, 0, 2/3, 1/3, 1, 0}, 
   {0, 1, 1/3, 0, 2/3, 0, 0, 0, 2/3}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 0}, {1, 0, 0, 0, 1/2, 1/2, 0, 1/2, 1/2}, 
   {0, 0, 1, 1, 1, 0, 1/2, 1/2, 0}, {1, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 0, 0, 1/2, 1}, {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, 
   {1/2, 1, 0, 1, 1, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1/2, 0, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, 
   {1, 0, 1, 0, 1/2, 0, 1, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1/2, 0, 1/2, 0, 0, 1/2, 1}, {1/2, 0, 1, 0, 0, 1/2, 1/2, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/9, 1/9, 0, 1/9, 7/9, 0, 0, 2/9}, {5/9, 2/9, 0, 1/3, 2/9, 0, 2/9, 0, 
    0}, {7/9, 0, 0, 1/9, 0, 0, 0, 0, 2/9}, {0, 5/9, 5/9, 1/9, 2/9, 4/9, 0, 0, 
    0}, {0, 7/9, 1, 1/9, 0, 0, 2/9, 4/9, 0}, {1/9, 0, 0, 0, 7/9, 1, 0, 0, 
    2/3}, {4/9, 0, 0, 8/9, 2/9, 0, 0, 0, 0}, {0, 0, 0, 8/9, 2/3, 0, 0, 0, 
    4/9}, {2/3, 0, 0, 0, 0, 0, 8/9, 8/9, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1/3}, 
   {1/3, 2/3, 0, 0, 1/3, 0, 0, 1/3, 0}, {1/3, 0, 0, 0, 0, 0, 1/3, 1, 0}, 
   {1/3, 1/3, 0, 1/3, 1, 0, 0, 1/3, 0}, {0, 0, 1/3, 1, 0, 0, 0, 0, 2/3}, 
   {2/3, 2/3, 0, 0, 1, 0, 0, 2/3, 0}, {1/3, 0, 1/3, 0, 0, 0, 2/3, 0, 2/3}, 
   {0, 1/3, 0, 1, 0, 1, 1/3, 0, 0}, {0, 1/3, 1, 0, 0, 1/3, 1/3, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 1/2, 1/2, 1, 0, 0, 0, 1/2, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 1/2, 0, 1, 1/2, 0, 0, 0}, {1/2, 1/2, 0, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 0, 0, 1/2, 1/2, 0, 1, 0, 1/2}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 1/2, 0, 0, 0, 0, 1/2}, {1/2, 0, 1/2, 1/2, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 0, 1/2, 0, 1, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 1/2, 0, 1/2}, 
   {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 0, 1, 0, 1/2, 1, 0, 1/2}, {1/2, 0, 0, 0, 1/2, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0, 0}, {0, 1, 1, 1/2, 0, 1, 1/2, 0, 0}, 
   {1, 1/2, 0, 0, 0, 1/2, 0, 1, 1/2}, {0, 0, 1, 1/2, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 0, 0, 0, 0, 1/2}, {1/2, 1/2, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 0, 1/2, 1/2}, {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 1, 0, 0}, {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1}, 
   {1/2, 1, 0, 0, 1/2, 1/2, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 1, 1/2}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1, 0}, 
   {0, 0, 1/2, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1/2, 0, 0, 1}, 
   {1, 1/2, 0, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 1, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 1/2, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 1/2, 1/2}, {0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {0, 0, 1/2, 0, 1/2, 1/2, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 1/2, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1/2, 1}, {1/2, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 1}, 
   {1/2, 0, 1, 1/2, 1/2, 0, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 0, 1}, 
   {1/2, 1, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 1/2, 1/2, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 1/2, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1, 0, 1/2, 0, 1, 0, 0}, {1/2, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1, 0, 0, 1/2, 0, 1}, {1, 0, 1, 0, 1, 1/2, 0, 0, 0}, 
   {1, 0, 0, 1, 1/2, 0, 1/2, 1/2, 0}, {0, 1/2, 1/2, 1/2, 0, 0, 0, 1/2, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 7/9, 0, 0, 2/3, 5/9}, 
   {0, 2/3, 0, 2/3, 0, 0, 7/9, 0, 1/3}, {0, 2/9, 5/9, 0, 4/9, 1/3, 0, 1/9, 
    0}, {0, 1/3, 0, 1/9, 0, 1/9, 0, 8/9, 4/9}, {1/9, 0, 1, 1/3, 1/3, 0, 0, 0, 
    0}, {0, 1/3, 1/3, 0, 4/9, 2/3, 1/9, 0, 4/9}, {5/9, 0, 2/9, 2/3, 0, 1, 0, 
    0, 0}, {0, 1/9, 0, 5/9, 2/9, 5/9, 1/3, 1/3, 0}, 
   {8/9, 1/3, 0, 0, 2/9, 0, 8/9, 0, 1/9}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{2/3, 1/3, 0, 0, 1/3, 2/3, 0, 0, 0}, {0, 0, 1/3, 0, 0, 0, 0, 1/3, 2/3}, 
   {1/3, 0, 0, 1/3, 1/3, 0, 0, 2/3, 0}, {1/3, 2/3, 1/3, 0, 1/3, 2/3, 0, 0, 
    0}, {0, 0, 1/3, 0, 2/3, 2/3, 0, 1/3, 2/3}, {0, 1/3, 0, 1/3, 1/3, 0, 1, 
    1/3, 0}, {0, 0, 1/3, 1/3, 0, 2/3, 2/3, 0, 0}, 
   {1/3, 1/3, 0, 2/3, 0, 0, 0, 0, 1}, {0, 0, 2/3, 0, 0, 2/3, 1, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {1/2, 1, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, {1/2, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 0, 1}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 1/2, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1/2, 0, 1}, 
   {0, 0, 1, 1/2, 0, 0, 1/2, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1/2, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 1, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 1}, {0, 1, 0, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0}, 
   {1, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1/2, 0, 0, 1/2, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 1/2, 1, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 0}, {1/2, 0, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 1}, {1, 1/2, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 1/2, 1/2, 0, 1/2, 1/2, 1/2, 0}, {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 0, 1}, {1/2, 0, 0, 1/2, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1/2, 1/2, 1, 0, 0, 1/2, 0}, 
   {1/2, 0, 1/2, 1, 0, 1, 0, 0}, {1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
   {0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 0, 1/2, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 0, 1/2, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 1/2, 0, 0, 1, 1/2}, {0, 1/2, 0, 1/2, 1/2, 1, 0, 0, 0}, 
   {1, 0, 1, 1/2, 1/2, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 0, 1/2, 0}, {0, 1, 0, 0, 1/2, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0}, {0, 1/2, 0, 1, 0, 0, 1/2, 1/2}, 
   {0, 0, 0, 1, 0, 0, 1/2, 1}, {1/2, 0, 1, 0, 1/2, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1/2, 1/2}, {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1, 1}, 
   {1/2, 1, 0, 0, 0, 1, 0, 0, 1/2}, {0, 0, 1/2, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1/2, 0, 0, 1, 1/2}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1/2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1/2, 0, 0, 1, 1/2}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1/2}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 1/3, 1/3, 0, 1/3, 2/3}, 
   {1/3, 0, 1, 1, 0, 2/3, 0, 1/3, 0}, {1/3, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1/3, 1/3, 2/3, 0, 0, 1/3, 0}, {2/3, 0, 0, 1/3, 0, 0, 2/3, 2/3, 0}, 
   {1/3, 0, 1, 0, 2/3, 0, 0, 0, 0}, {1/3, 0, 1/3, 0, 0, 0, 1/3, 0, 1}, 
   {1/3, 0, 0, 0, 1, 1/3, 1/3, 0, 0}, {0, 1, 0, 0, 0, 0, 2/3, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1/2}, {0, 0, 0, 0, 1/2, 1, 1, 0, 1/2}, 
   {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1/2, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 1/2, 0}, {0, 1, 1/2, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 0, 1, 1/2, 1, 0, 1/2, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 1/3, 0, 0, 0, 0, 0, 1/3, 0}, {0, 0, 0, 2/3, 0, 0, 1/3, 2/3, 0}, 
   {2/3, 0, 0, 1/3, 0, 0, 1/3, 0, 0}, {1/3, 0, 1, 0, 1/3, 0, 0, 0, 1}, 
   {1/3, 2/3, 0, 0, 0, 2/3, 2/3, 1, 0}, {0, 0, 2/3, 0, 2/3, 1/3, 0, 0, 2/3}, 
   {0, 2/3, 1/3, 0, 0, 1/3, 0, 0, 2/3}, {0, 1, 0, 0, 0, 0, 1/3, 0, 1}, 
   {0, 0, 1, 0, 2/3, 0, 2/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/3, 0, 0, 0, 0, 1/3, 1, 0}, {0, 1/3, 0, 0, 2/3, 0, 0, 1/3}, 
   {0, 2/3, 2/3, 0, 0, 0, 0, 2/3}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}, 
   {1/3, 2/3, 0, 2/3, 0, 0, 2/3, 1/3}, {1, 0, 2/3, 0, 0, 0, 0, 1}, 
   {0, 1/3, 2/3, 0, 2/3, 1, 1, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 0, 1/2, 1, 0}, {0, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1/2, 1, 0}, {1, 0, 1/2, 0, 0, 0, 0, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 0, 1}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 0, 1/2}, {0, 1, 1/2, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 2, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {1/2, 0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, {1/2, 1, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 1/2, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1/2, 0, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1/2, 0}, {0, 1, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 1/2, 1}, {0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 1, 1/2, 0}, {1/2, 1, 0, 0, 1/2, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 1/2, 0, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 1, 1, 1/2, 0, 0}, 
   {0, 0, 1, 1, 0, 1/2, 0, 0, 1/2}, {0, 0, 1, 0, 1, 1/2, 0, 0, 1/2}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1/2, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 1/2, 1/2, 0, 0, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1/2, 0, 0, 1, 0, 1/2}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1/2}, 
   {0, 1/2, 0, 1/2, 1/2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1/2}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 4/5, 2/5, 0, 0, 1, 3/5, 0, 3/5}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {4/5, 2/5, 0, 1/5, 1, 0, 2/5, 1/5, 0}, 
   {0, 0, 0, 0, 2/5, 0, 0, 0, 2/5}, {2/5, 0, 0, 2/5, 0, 0, 0, 0, 0}, 
   {2/5, 0, 0, 0, 0, 0, 0, 0, 2/5}, {0, 2/5, 4/5, 1, 3/5, 0, 1, 0, 3/5}, 
   {0, 0, 0, 2/5, 0, 1, 0, 3/5, 0}, {4/5, 0, 2/5, 0, 0, 1, 0, 1/5, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 2/3, 0, 0, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 0, 1/3, 0, 2/3, 0, 1/3, 0}, {1/3, 0, 1, 2/3, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 1/3, 0, 0, 0, 2/3}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {2/3, 0, 2/3, 1/3, 1/3, 0, 0, 1, 0}, {0, 1/3, 0, 0, 0, 0, 2/3, 2/3, 0}, 
   {2/3, 0, 0, 1/3, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 2/3, 1, 0, 1/3, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 0, 0, 0, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 1, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0}, {0, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1/2, 1}, {0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {0, 1/2, 0, 0, 0, 1, 0, 1/2}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 1, 0}, 
   {1, 1, 0, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 1}, 
   {0, 0, 1/2, 0, 1, 0, 1, 0, 1}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1, 0, 1/2, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 0, 1, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 2/3, 0, 0, 0, 0, 1}, {1/3, 0, 0, 0, 2/3, 1, 1, 0}, 
   {1/3, 0, 0, 2/3, 2/3, 0, 0, 1}, {0, 1, 2/3, 0, 0, 1/3, 1, 0}, 
   {0, 1/3, 1/3, 1/3, 1, 0, 0, 1/3}, {0, 0, 0, 2/3, 2/3, 0, 0, 0}, 
   {2/3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2/3, 0, 2/3, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 1/2, 0, 0, 1/2, 1/2, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 0, 1, 1, 0}, {0, 0, 1/2, 1, 0, 1/2, 1, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1, 0}, {0, 1/2, 0, 0, 1/2, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1/2, 0, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1/2, 0, 0, 1, 0, 1/2, 0}, 
   {0, 0, 1/2, 1/2, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1, 1/2, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 1, 0}, 
   {0, 1/2, 0, 1/2, 0, 1, 1/2, 0, 1/2}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1/2, 1/2, 1/2, 1/2, 1/2}, {0, 1, 0, 1/2, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 1/2, 1/2, 0}, {0, 1, 0, 0, 1, 0, 1/2, 1/2, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 1, 0}, {1/2, 1, 0, 1/2, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/3, 0, 0, 2/3, 0, 1, 0}, 
   {0, 0, 1/3, 2/3, 0, 2/3, 0, 1/3, 0}, {1, 1/3, 0, 0, 0, 0, 1/3, 0, 1}, 
   {0, 0, 0, 0, 2/3, 0, 2/3, 0, 0}, {2/3, 2/3, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {0, 0, 0, 0, 0, 0, 2/3, 2/3, 0}, {0, 0, 1/3, 2/3, 0, 2/3, 1/3, 0, 1}, 
   {0, 2/3, 1, 0, 0, 0, 1/3, 0, 1}, {1/3, 1/3, 0, 2/3, 2/3, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1, 1/2, 0, 1/2, 0, 1/2}, 
   {0, 0, 1, 0, 1/2, 1, 0, 0, 0}, {1, 1/2, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {1/2, 0, 0, 0, 1, 1/2, 0, 0, 0}, 
   {0, 0, 1/2, 1/2, 1/2, 0, 0, 1/2, 0}, {1/2, 0, 1, 0, 0, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1/2, 0, 0, 1/2, 1/2, 0, 1}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 0, 1/2, 0, 1, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1/2, 1/2, 1, 0, 1/2, 0, 0, 0}, {0, 1/2, 0, 1, 0, 1, 0, 0, 1/2}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 1}, 
   {1/2, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {1/2, 0, 1, 1/2, 0, 0, 1, 1/2, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 0, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 1/2, 0, 0}, {1/2, 0, 0, 0, 0, 0, 0, 1/2}, 
   {1/2, 0, 1, 1, 0, 1/2, 1, 0}, {0, 1/2, 1/2, 0, 1/2, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 1/2, 0, 1}, {0, 0, 1, 1, 0, 1/2, 0, 1/2}, 
   {0, 0, 0, 0, 1/2, 1/2, 1, 0}, {0, 1/2, 0, 1/2, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 7/13, 0, 0, 0, 6/13, 12/13, 0, 7/13}, 
   {0, 7/13, 0, 12/13, 0, 6/13, 0, 0, 7/13}, {1, 0, 7/13, 0, 0, 0, 5/13, 
    7/13, 0}, {0, 1, 4/13, 0, 6/13, 0, 1/13, 1, 0}, 
   {0, 5/13, 0, 1/13, 7/13, 5/13, 0, 12/13, 3/13}, 
   {7/13, 0, 7/13, 6/13, 0, 0, 0, 0, 1}, {4/13, 6/13, 0, 0, 6/13, 0, 2/13, 0, 
    2/13}, {0, 2/13, 0, 0, 6/13, 6/13, 0, 0, 6/13}, 
   {0, 0, 2/13, 6/13, 0, 0, 8/13, 6/13, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 0, 1/2, 1/2, 0, 1/2}, {0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 1/2}, 
   {0, 1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 0, 1, 0, 1/2, 1/2, 0, 0}, {1, 0, 1, 1/2, 1/2, 0, 0, 1/2, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 1/2, 1/2, 0, 0, 0, 0}, {1/2, 0, 0, 1, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1/2}, {1/2, 1/2, 0, 0, 0, 1/2, 0, 1, 0}, 
   {0, 1/2, 1/2, 0, 0, 1/2, 0, 1/2, 1/2}, {1/2, 0, 1/2, 0, 1, 0, 1, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 1/2, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 1, 0, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1/3, 0, 0, 2/3, 0, 0, 1/3}, 
   {2/3, 0, 0, 1/3, 0, 0, 0, 0}, {0, 0, 2/3, 0, 1/3, 1, 1/3, 0}, 
   {0, 0, 2/3, 1, 0, 0, 1/3, 1/3}, {1/3, 0, 0, 0, 0, 2/3, 0, 1/3}, 
   {0, 1, 2/3, 2/3, 0, 1/3, 0, 0}, {0, 0, 1/3, 0, 1, 0, 2/3, 2/3}, 
   {0, 2/3, 0, 2/3, 0, 1/3, 2/3, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1/2, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 1, 0, 1, 1/2, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 1, 0, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 1, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 1}, {0, 1/2, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 0, 0, 0, 0, 1, 0, 1/2, 1}, 
   {0, 0, 1/2, 1/2, 0, 1, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 3/7, 1, 0, 0, 6/7, 0, 0, 1/7}, 
   {0, 3/7, 5/7, 0, 2/7, 4/7, 0, 0, 3/7}, {1, 4/7, 0, 2/7, 0, 0, 3/7, 1, 0}, 
   {0, 1/7, 1, 4/7, 4/7, 0, 3/7, 3/7, 0}, {3/7, 0, 6/7, 4/7, 0, 0, 0, 4/7, 
    1/7}, {1, 4/7, 0, 0, 0, 2/7, 0, 0, 5/7}, {0, 2/7, 0, 2/7, 2/7, 0, 2/7, 0, 
    0}, {0, 0, 2/7, 0, 4/7, 0, 0, 0, 2/7}, {0, 0, 0, 2/7, 0, 0, 4/7, 0, 
    2/7}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 1, 0}, {1/2, 1, 0, 0, 1/2, 0, 1/2, 0, 0}, 
   {0, 0, 1/2, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 0, 1/2, 1/2, 0, 0, 1/2}, 
   {1, 1, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 1/2, 1, 0}, {0, 0, 0, 1, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
   {0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {0, 0, 1/2, 0, 0, 1, 1/2, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 1/2, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1/2, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 0, 1/2, 1}, 
   {0, 0, 1/2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 1/2, 0, 1, 1/2, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1/2, 1, 0, 0, 1/2, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {1/2, 0, 1/2, 0, 1/2, 0, 0, 1, 1/2}, {1, 0, 0, 1/2, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1/2, 1/2, 1/2, 0, 1/2, 0, 1/2}, {0, 1/2, 0, 1, 0, 1, 1, 0, 0}, 
   {1/2, 0, 1, 0, 1, 0, 0, 0, 1/2}, {0, 1, 0, 0, 1, 1, 1/2, 0, 0}, 
   {1/2, 1, 0, 0, 1, 0, 0, 1/2, 0}, {0, 0, 1/2, 1, 0, 1, 0, 0, 1}, 
   {1/2, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 1, 0, 1, 1, 0, 0}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 1, 0, 0, 2/3, 1/3, 1/3, 0}, {1/3, 0, 2/3, 0, 0, 0, 0, 2/3, 1/3}, 
   {1, 0, 0, 0, 2/3, 0, 0, 0, 1}, {0, 2/3, 0, 2/3, 0, 0, 2/3, 0, 0}, 
   {0, 0, 0, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 2/3, 0, 0}, 
   {0, 1/3, 1, 0, 2/3, 0, 0, 0, 1/3}, {1/3, 0, 0, 0, 2/3, 0, 1/3, 1, 0}, 
   {1, 2/3, 0, 0, 0, 0, 1/3, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 1/2, 0, 0, 1/2, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1/2, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {0, 1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2}, {0, 0, 1/2, 0, 0, 1, 0, 1/2, 1/2}, 
   {1, 1/2, 0, 0, 0, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 1, 0, 0, 0}, 
   {1/2, 0, 1/2, 0, 1, 0, 0, 1/2, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 0, 1, 1/2, 0, 0}, 
   {0, 0, 0, 0, 1/2, 0, 0, 0, 1}, {1/2, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1/2, 1, 0, 1, 1, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}, {1, 1/2, 0, 0, 1, 0, 0, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/3, 0, 1, 1/3, 0, 0, 0, 0}, {1/3, 0, 1, 0, 0, 1/3, 2/3, 2/3, 0}, 
   {1/3, 0, 1, 1/3, 1, 0, 2/3, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 1/3, 0, 0, 0, 1, 0, 0, 2/3}, {0, 0, 0, 0, 2/3, 0, 0, 2/3, 2/3}, 
   {2/3, 0, 2/3, 2/3, 0, 2/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {1, 0, 0, 1/2, 0, 0, 1/2, 1, 0}, {1/2, 0, 1/2, 1/2, 1/2, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 1/2, 1/2, 0, 0}, {0, 1/2, 0, 0, 0, 1/2, 0, 1, 1}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, 
   {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1/2, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 1}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/3, 0, 0, 0, 0, 1/3, 0, 1/3, 1/3}, 
   {0, 1/3, 0, 0, 0, 0, 0, 2/3, 0}, {0, 1/3, 1, 0, 1/3, 0, 1, 0, 0}, 
   {2/3, 1/3, 1/3, 1/3, 1/3, 0, 1/3, 0, 2/3}, {1/3, 1, 0, 2/3, 0, 2/3, 0, 
    2/3, 1}, {2/3, 0, 1, 1/3, 0, 0, 0, 0, 1/3}, {0, 0, 1/3, 0, 2/3, 0, 0, 
    1/3, 1}, {1, 1/3, 0, 0, 0, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1/2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1/2, 0, 0, 1, 1, 0}, 
   {1, 0, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1/2, 0, 0, 1/2}, 
   {1, 0, 0, 0, 1/2, 0, 0, 0, 0}, {0, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1/2, 0, 1, 0, 0, 1/2}, {0, 0, 0, 1/2, 1/2, 1, 0, 1/2, 0}, 
   {0, 1, 1, 0, 1/2, 0, 0, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 4/7, 0, 3/7, 1, 0}, 
   {5/7, 3/7, 0, 0, 0, 2/7, 0, 0, 1}, {6/7, 4/7, 0, 0, 0, 0, 6/7, 0, 0}, 
   {0, 0, 6/7, 4/7, 0, 6/7, 0, 0, 0}, {0, 2/7, 0, 2/7, 2/7, 0, 4/7, 0, 6/7}, 
   {0, 2/7, 5/7, 2/7, 2/7, 0, 0, 0, 1/7}, {0, 0, 1, 0, 4/7, 0, 0, 0, 3/7}, 
   {3/7, 3/7, 0, 0, 0, 0, 1/7, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1, 1/3, 0, 0, 0, 1}, {1, 1/3, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 2/3, 0, 0, 2/3, 0, 1, 0, 0}, {0, 0, 0, 1, 1/3, 0, 0, 1/3, 2/3}, 
   {0, 2/3, 1, 0, 0, 0, 0, 0, 0}, {2/3, 0, 1/3, 2/3, 0, 2/3, 1/3, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 2/3, 1, 0, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 1/2}, 
   {1, 1, 0, 0, 0, 1/2, 0, 0, 1}, {1/2, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 1/2, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 1/2, 1/2, 1, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1/2}, {1/2, 1, 0, 0, 1/2, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1/2, 1/2, 0, 1/2, 0, 1/2, 0, 1/2, 0}, 
   {0, 1, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1}, {1, 0, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {1/2, 0, 1, 0, 0, 1/2, 0, 0, 1/2}, {0, 1/2, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 1/2, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1/2, 1/2, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 0, 0, 2/3, 0}, 
   {0, 0, 0, 0, 2/3, 0, 0, 0, 0}, {2/3, 2/3, 0, 0, 0, 0, 0, 0, 0}, 
   {2/3, 1/3, 1, 0, 0, 0, 0, 0, 1/3}, {0, 1/3, 1, 0, 0, 2/3, 0, 0, 1}, 
   {1, 0, 0, 0, 2/3, 0, 1, 1/3, 0}, {0, 1, 1, 2/3, 0, 0, 1, 1/3, 0}, 
   {1, 2/3, 0, 0, 0, 0, 0, 2/3, 1}, {1/3, 0, 0, 2/3, 0, 2/3, 2/3, 0, 1/3}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 1, 0, 0, 0, 0, 1/2, 0}, 
   {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1/2, 0, 1, 0, 1/2}, 
   {1, 0, 0, 1, 0, 1, 0, 1/2, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 1/2, 0, 0}, {1, 1/2, 0, 0, 1/2, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 1, 1, 0, 0, 0}}, {{2, 2, 3}, {2, 3, 3}}}, 
 {{{0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {0, 0, 0, 0, 1/2, 0, 1/2, 0}, 
   {0, 0, 1/2, 1, 0, 0, 1, 0}, {0, 1/2, 1, 0, 1, 1, 0, 1/2}, 
   {1, 0, 0, 1, 0, 1/2, 0, 0}, {0, 0, 1/2, 0, 1, 0, 1/2, 1/2}, 
   {0, 1/2, 0, 1/2, 0, 1, 0, 1/2}, {1/2, 0, 1, 0, 1/2, 0, 0, 0}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 0, 1/2, 0, 0, 1/2}, 
   {0, 1, 0, 1/2, 0, 0, 0, 1/2, 0}, {1/2, 1/2, 1/2, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 0, 1/2, 0, 1}, {1, 0, 1, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}, {1/2, 0, 0, 1/2, 0, 0, 0, 1/2, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1/2, 0, 0, 0, 0}, {1/2, 0, 1/2, 0, 0, 1, 0, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 1, 1, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 0, 1}, 
   {0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1, 0}, {0, 0, 1/2, 0, 0, 1, 1/2, 1, 0}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0, 1}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {1, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 1, 0, 0, 0, 0}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{0, 1, 0, 0, 0, 1/2, 1/2, 0, 1}, {1, 0, 1, 0, 1/2, 0, 0, 1/2, 0}, 
   {0, 1, 1/2, 1/2, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1/2, 0, 1/2, 1/2, 0}, 
   {0, 1/2, 0, 0, 1/2, 1/2, 0, 1/2, 0}, {0, 0, 1, 0, 0, 1/2, 1/2, 0, 1/2}, 
   {1/2, 0, 0, 1/2, 1/2, 0, 0, 0, 0}, {1, 0, 0, 1/2, 0, 0, 0, 0, 0}, 
   {0, 1/2, 0, 0, 0, 0, 1/2, 1, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}}, {{2, 2, 3}, {3, 3, 3}}}, 
 {{{1/2, 0, 0, 0, 1, 0, 1, 1, 0}, {1/2, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1/2, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1/2, 0, 1/2, 1/2, 0, 0, 0, 1/2}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1/2, 1}, {1/2, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 1, 1/2, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1, 0, 1, 0, 1/3, 0, 2/3, 0}, 
   {0, 1/3, 0, 1/3, 0, 0, 0, 2/3}, {0, 2/3, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 2/3, 2/3, 0, 0}, {0, 1, 1/3, 0, 1/3, 2/3, 2/3, 0}, 
   {1/3, 0, 2/3, 1/3, 2/3, 0, 0, 2/3}, {1, 0, 0, 1, 0, 0, 2/3, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{1, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 1, 0, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 1, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 1}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 1, 0, 1, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 2/3, 1/3, 1/3, 0, 0, 0, 0}, {1/3, 0, 1, 0, 0, 0, 0, 2/3, 1}, 
   {0, 1, 0, 2/3, 0, 0, 1/3, 1, 0}, {0, 0, 1/3, 0, 2/3, 0, 0, 0, 1/3}, 
   {1, 0, 0, 0, 0, 0, 2/3, 0, 0}, {0, 0, 0, 0, 1, 1/3, 0, 0, 0}, 
   {0, 1/3, 1, 2/3, 0, 1, 0, 0, 0}, {2/3, 0, 1, 0, 0, 0, 1, 1/3, 0}, 
   {2/3, 1, 0, 0, 0, 1/3, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 1, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 1/2, 0, 1/2, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, {0, 0, 1, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{1/2, 1, 0, 0, 0, 0, 1/2, 0, 1}, {0, 0, 1, 1/2, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, 
   {1/2, 0, 0, 0, 0, 0, 1/2, 0, 1/2}, {1/2, 0, 0, 1/2, 0, 0, 1/2, 0, 0}, 
   {0, 0, 1, 0, 1/2, 0, 1/2, 0, 1}, {1/2, 1, 0, 0, 1, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 1, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1/2, 0, 1/2, 1}, 
   {0, 1/2, 0, 1, 1, 1/2, 0, 0}, {1, 0, 0, 0, 0, 1, 1/2, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1}, {0, 1/2, 1/2, 0, 0, 1, 0, 0}, 
   {1/2, 0, 0, 1, 1/2, 0, 0, 0}, {0, 0, 1/2, 0, 0, 1, 0, 1/2}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1/2, 0, 0, 1, 0, 0, 0, 1/2}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 1/2, 1, 0, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1/2, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1/2, 1/2, 0, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 1, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {1, 0, 1/2, 0, 1/2, 0, 0, 0, 1/2}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 1, 1, 0, 0, 1, 0}, {0, 1/2, 0, 1, 0, 1, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1/2, 1}, {0, 1/2, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1/2, 0, 1/2, 1/2, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 2/5, 1/5, 3/5, 0, 1/5, 1, 0}, 
   {2/5, 0, 0, 0, 0, 3/5, 0, 0, 1}, {2/5, 0, 2/5, 1/5, 3/5, 0, 0, 2/5, 1/5}, 
   {4/5, 0, 0, 0, 0, 3/5, 1, 1, 0}, {0, 0, 2/5, 3/5, 3/5, 0, 0, 0, 3/5}, 
   {0, 4/5, 2/5, 0, 0, 4/5, 0, 0, 0}, {4/5, 4/5, 0, 2/5, 0, 0, 0, 0, 0}, 
   {0, 2/5, 0, 0, 0, 0, 4/5, 0, 2/5}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 0, 0, 1/2, 0, 1/2, 0, 0}, {1, 0, 1, 1/2, 0, 0, 0, 1/2, 1/2}, 
   {1/2, 0, 1, 0, 1/2, 0, 1/2, 0, 0}, {0, 0, 0, 1/2, 1/2, 0, 1/2, 1, 0}, 
   {0, 1, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1/2, 0, 1, 0, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0, 1}, 
   {0, 1/2, 1, 1, 0, 0, 1/2, 0, 0}, {0, 1/2, 0, 0, 1/2, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1/2, 1/2}, {0, 1/2, 0, 0, 0, 0, 1, 0, 1/2}, 
   {1/2, 0, 1/2, 0, 0, 1/2, 0, 1/2, 0}, {0, 0, 0, 0, 1/2, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 1/2, 1/2, 1/2, 0, 1, 0, 1/2, 0}, {1, 0, 0, 0, 1/2, 0, 1, 1, 0}, 
   {1/2, 0, 0, 1/2, 0, 1/2, 0, 1/2, 1/2}, {0, 1, 1, 1/2, 1, 0, 1/2, 1, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1/2, 1/2, 0, 1/2, 1/2, 0, 1/2, 0}, {1/2, 0, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 1, 1, 0, 0, 1/2, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 1/2, 1, 1, 1/2, 0, 0, 0, 0}, {1/2, 1, 0, 1, 0, 1, 0, 0, 0}, 
   {1/2, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1/2, 0, 1/2, 1/2}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 1, 0, 0, 1, 0, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 1/2, 0, 1, 0, 0, 1}, {1/2, 0, 0, 1, 1, 0, 0, 1, 0}, 
   {1/2, 1, 0, 0, 0, 0, 0, 0, 0}, {1/2, 0, 1, 0, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1/2, 0, 0, 1/2, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 1, 0, 0}, {1/2, 1, 0, 0, 0, 0, 0, 1, 0}, 
   {1/2, 0, 1, 0, 0, 0, 1, 0, 0}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 1, 0, 0, 1, 1, 1/2, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 1, 0, 1/2, 0, 1, 0, 0, 1}, {0, 0, 1/2, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 1/2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1/2, 1, 0, 0, 0, 1/2}, 
   {0, 1, 1/2, 0, 0, 0, 0, 1, 0}, {1, 0, 1/2, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1/2, 0, 0, 1/2, 1}}, {{3, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 1, 0, 0, 0, 0, 1/2, 0}, {0, 0, 0, 0, 0, 1/2, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1/2, 0, 1, 1/2, 0, 0, 0, 1/2}, 
   {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 0, 0, 1/2, 0}, {1/2, 0, 1/2, 0, 0, 0, 1, 0, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{1/2, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 1/2, 0, 1, 1/2}, 
   {1, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 1, 1/2, 0, 0}, 
   {1/2, 0, 1, 0, 0, 1, 1/2, 0, 0}, {0, 1, 0, 1/2, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1/2, 0, 1}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0}, 
   {1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 1}}, {{2, 3, 3}, {2, 3, 3}}}, 
 {{{1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
   {0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0}}, 
  {{2, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 1, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}}, 
  {{3, 3, 3}, {3, 3, 3}}}, {{{0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 1, 1, 0, 1, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 1, 1, 1, 0, 0}}, {{2, 3, 3}, {3, 3, 3}}}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 3, 3}, {2, 3, 3}}}, {{{0, 0, 0, 0, 1, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1}}, 
  {{2, 2, 3}, {2, 3, 3}}}, {{{0, 0, 0, 1, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0}}, 
  {{2, 2, 3}, {2, 3, 3}}}}