Inequalities for the causal structure relevant for the information causality game (classical case) In the following we provide the inequalities from the calculations of Section III C of the article "Non - Shannon inequalities in the entropy vector approach to causal structures". These inequalities are of the form a H (X_0) + b H (X_1) + c H (Z) + d H (Y_{|R=0}) + e H (Y_{|R=1}) + f H (X_0 X_1) + g H (X_0 Z) + h H (X_0 Y_{|R=0}) + i H (X_0 Y_{|R=1}) + j H (X_1 Z) + k H (X_1 Y_{|R=0}) + l H (X_1 Y_{|R=1}) + m H (Z Y_{|R=0}) + n H (Z Y_{|R=1}) + o H (X_0 X_1 Z) + p H (X_0 X_1 Y_{|R=0}) + q H (X_0 X_1 Y_{|R=1}) + r H (X_0 Z Y_{|R=0}) + s H (X_0 Z Y_{|R=1}) + t H (X_1 Z Y_{|R=0}) + u H (X_1 Z Y_{|R=1}) + v H (X_0 X_1 Z Y_{|R=0}) + w H (X_0 X_1 Z Y_{|R=1}) >= 0. The coefficients a, b, ..., w of all irredundant inequalities are in the following listed as the rows of a matrix. {{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0}, {0, 0, 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, 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, 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, 0, 0, 0, 0, 0, 0, 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, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1}, {-4, -8, -14, -4, -10, 1, 12, -5, 13, 9, 12, 6, 13, 15, 0, 0, -1, 0, -16, -12, -7, 0, 0}, {-4, -8, -14, -10, -4, 1, 12, 13, -5, 9, 6, 12, 15, 13, 0, -1, 0, -16, 0, -7, -12, 0, 0}, {-4, -14, -8, -4, -10, 12, 1, -5, 13, 9, 13, 15, 12, 6, 0, 0, -16, 0, -1, -12, -7, 0, 0}, {-4, -14, -8, -10, -4, 12, 1, 13, -5, 9, 15, 13, 6, 12, 0, -16, 0, -1, 0, -7, -12, 0, 0}, {-8, -4, -14, -4, -10, 1, 9, 12, 6, 12, -5, 13, 13, 15, 0, 0, -1, -12, -7, 0, -16, 0, 0}, {-8, -4, -14, -10, -4, 1, 9, 6, 12, 12, 13, -5, 15, 13, 0, -1, 0, -7, -12, -16, 0, 0, 0}, {-8, -14, -4, -4, -10, 9, 1, 12, 6, 12, 13, 15, -5, 13, 0, -12, -7, 0, -1, 0, -16, 0, 0}, {-8, -14, -4, -10, -4, 9, 1, 6, 12, 12, 15, 13, 13, -5, 0, -7, -12, -1, 0, -16, 0, 0, 0}, {-14, -4, -8, -4, -10, 12, 9, 13, 15, 1, -5, 13, 12, 6, 0, 0, -16, -12, -7, 0, -1, 0, 0}, {-14, -4, -8, -10, -4, 12, 9, 15, 13, 1, 13, -5, 6, 12, 0, -16, 0, -7, -12, -1, 0, 0, 0}, {-14, -8, -4, -4, -10, 9, 12, 13, 15, 1, 12, 6, -5, 13, 0, -12, -7, 0, -16, 0, -1, 0, 0}, {-14, -8, -4, -10, -4, 9, 12, 15, 13, 1, 6, 12, 13, -5, 0, -7, -12, -16, 0, -1, 0, 0, 0}, {-4, -8, -14, -4, -10, 1, 12, -5, 13, 9, 12, 6, 13, 15, 0, 0, -1, 0, -16, -16, -3, 0, 0}, {-4, -8, -14, -10, -4, 1, 12, 13, -5, 9, 6, 12, 15, 13, 0, -1, 0, -16, 0, -3, -16, 0, 0}, {-4, -14, -8, -4, -10, 12, 1, -5, 13, 9, 13, 15, 12, 6, 0, 0, -16, 0, -1, -16, -3, 0, 0}, {-4, -14, -8, -10, -4, 12, 1, 13, -5, 9, 15, 13, 6, 12, 0, -16, 0, -1, 0, -3, -16, 0, 0}, {-8, -4, -14, -4, -10, 1, 9, 12, 6, 12, -5, 13, 13, 15, 0, 0, -1, -16, -3, 0, -16, 0, 0}, {-8, -4, -14, -10, -4, 1, 9, 6, 12, 12, 13, -5, 15, 13, 0, -1, 0, -3, -16, -16, 0, 0, 0}, {-8, -14, -4, -4, -10, 9, 1, 12, 6, 12, 13, 15, -5, 13, 0, -16, -3, 0, -1, 0, -16, 0, 0}, {-8, -14, -4, -10, -4, 9, 1, 6, 12, 12, 15, 13, 13, -5, 0, -3, -16, -1, 0, -16, 0, 0, 0}, {-14, -4, -8, -4, -10, 12, 9, 13, 15, 1, -5, 13, 12, 6, 0, 0, -16, -16, -3, 0, -1, 0, 0}, {-14, -4, -8, -10, -4, 12, 9, 15, 13, 1, 13, -5, 6, 12, 0, -16, 0, -3, -16, -1, 0, 0, 0}, {-14, -8, -4, -4, -10, 9, 12, 13, 15, 1, 12, 6, -5, 13, 0, -16, -3, 0, -16, 0, -1, 0, 0}, {-14, -8, -4, -10, -4, 9, 12, 15, 13, 1, 6, 12, 13, -5, 0, -3, -16, -16, 0, -1, 0, 0, 0}, {-4, -8, -14, -1, -13, 1, 12, -5, 13, 9, 6, 12, 7, 21, 0, 0, -1, 0, -16, -7, -12, 0, 0}, {-4, -8, -14, -13, -1, 1, 12, 13, -5, 9, 12, 6, 21, 7, 0, -1, 0, -16, 0, -12, -7, 0, 0}, {-4, -14, -8, -1, -13, 12, 1, -5, 13, 9, 7, 21, 6, 12, 0, 0, -16, 0, -1, -7, -12, 0, 0}, {-4, -14, -8, -13, -1, 12, 1, 13, -5, 9, 21, 7, 12, 6, 0, -16, 0, -1, 0, -12, -7, 0, 0}, {-8, -4, -14, -1, -13, 1, 9, 6, 12, 12, -5, 13, 7, 21, 0, 0, -1, -7, -12, 0, -16, 0, 0}, {-8, -4, -14, -13, -1, 1, 9, 12, 6, 12, 13, -5, 21, 7, 0, -1, 0, -12, -7, -16, 0, 0, 0}, {-8, -14, -4, -1, -13, 9, 1, 6, 12, 12, 7, 21, -5, 13, 0, -7, -12, 0, -1, 0, -16, 0, 0}, {-8, -14, -4, -13, -1, 9, 1, 12, 6, 12, 21, 7, 13, -5, 0, -12, -7, -1, 0, -16, 0, 0, 0}, {-14, -4, -8, -1, -13, 12, 9, 7, 21, 1, -5, 13, 6, 12, 0, 0, -16, -7, -12, 0, -1, 0, 0}, {-14, -4, -8, -13, -1, 12, 9, 21, 7, 1, 13, -5, 12, 6, 0, -16, 0, -12, -7, -1, 0, 0, 0}, {-14, -8, -4, -1, -13, 9, 12, 7, 21, 1, 6, 12, -5, 13, 0, -7, -12, 0, -16, 0, -1, 0, 0}, {-14, -8, -4, -13, -1, 9, 12, 21, 7, 1, 12, 6, 13, -5, 0, -12, -7, -16, 0, -1, 0, 0, 0}, {-4, -8, -14, -1, -13, 1, 12, -5, 13, 9, 6, 12, 7, 21, 0, 0, -1, 0, -16, -3, -16, 0, 0}, {-4, -8, -14, -13, -1, 1, 12, 13, -5, 9, 12, 6, 21, 7, 0, -1, 0, -16, 0, -16, -3, 0, 0}, {-4, -14, -8, -1, -13, 12, 1, -5, 13, 9, 7, 21, 6, 12, 0, 0, -16, 0, -1, -3, -16, 0, 0}, {-4, -14, -8, -13, -1, 12, 1, 13, -5, 9, 21, 7, 12, 6, 0, -16, 0, -1, 0, -16, -3, 0, 0}, {-8, -4, -14, -1, -13, 1, 9, 6, 12, 12, -5, 13, 7, 21, 0, 0, -1, -3, -16, 0, -16, 0, 0}, {-8, -4, -14, -13, -1, 1, 9, 12, 6, 12, 13, -5, 21, 7, 0, -1, 0, -16, -3, -16, 0, 0, 0}, {-8, -14, -4, -1, -13, 9, 1, 6, 12, 12, 7, 21, -5, 13, 0, -3, -16, 0, -1, 0, -16, 0, 0}, {-8, -14, -4, -13, -1, 9, 1, 12, 6, 12, 21, 7, 13, -5, 0, -16, -3, -1, 0, -16, 0, 0, 0}, {-14, -4, -8, -1, -13, 12, 9, 7, 21, 1, -5, 13, 6, 12, 0, 0, -16, -3, -16, 0, -1, 0, 0}, {-14, -4, -8, -13, -1, 12, 9, 21, 7, 1, 13, -5, 12, 6, 0, -16, 0, -16, -3, -1, 0, 0, 0}, {-14, -8, -4, -1, -13, 9, 12, 7, 21, 1, 6, 12, -5, 13, 0, -3, -16, 0, -16, 0, -1, 0, 0}, {-14, -8, -4, -13, -1, 9, 12, 21, 7, 1, 12, 6, 13, -5, 0, -16, -3, -16, 0, -1, 0, 0, 0}, {1, 1, 0, 0, 0, -1, 0, 0, 0, 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, 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, 0, 0, 0, 0, 0}, {1, 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, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 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, 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, 0, -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, 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, 0, 0, 0, 1, 0}, {0, 0, 0, 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, 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, 0, 0, 1, 0, -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, 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, 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, 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, 1, 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, 0, 0, 0, -1, 0}, {0, 0, 0, 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, 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, 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, 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, -1, 0, 0, 0, 0}, {0, 0, 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, 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, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0}, {0, 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, 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, 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, 0, 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, 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, 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, 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, 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, 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, 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, 0, 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, 0, -1, 0, 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, 0, 0, 0, 0}, {-1, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0, 0, 0, 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, 0, -1, 1, 1, 0}, {0, 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, 0, 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, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1}, {0, -1, 1, 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, -1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1}, {0, -1, 1, 0, -1, -1, 0, -1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0}, {0, -1, 1, -1, 0, -1, 0, 1, -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1}, {0, -1, 1, -1, 0, -1, 0, 1, -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0}, {0, -1, 1, -1, 0, -1, 0, 1, -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1}, {0, -1, -1, 0, -1, 0, 0, -1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0}, {0, -1, -1, -1, 0, 0, 0, 1, -1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0}, {-1, 0, 1, 0, -1, -1, 0, 1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0}, {-1, 0, 1, 0, -1, -1, 0, 1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1}, {-1, 0, 1, 0, -1, -1, 0, 1, 1, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0}, {-1, 0, 1, -1, 0, -1, 0, 1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1}, {-1, 0, 1, -1, 0, -1, 0, 1, 1, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0}, {-1, 0, 1, -1, 0, -1, 0, 1, 1, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1}, {-1, 0, -1, 0, -1, 0, 0, 1, 1, 0, -1, 1, 1, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0}, {-1, 0, -1, -1, 0, 0, 0, 1, 1, 0, 1, -1, 1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0}, {-1, -1, 0, 0, -1, 0, 0, 1, 1, 0, 1, 1, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0}, {-1, -1, 0, -1, 0, 0, 0, 1, 1, 0, 1, 1, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0}, {0, -1, 1, 0, -1, -1, 0, -1, 1, 0, 1, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 1}, {0, -1, 1, 0, -1, -1, 0, -1, 1, 0, 1, 1, 0, 0, 0, 1, -1, 0, 0, -1, 0, 1, 0}, {0, -1, 1, 0, -1, -1, 0, -1, 1, 0, 1, 1, 0, 0, 0, 1, -1, 0, 0, -1, 0, 0, 1}, {0, -1, 1, 0, -1, -1, 0, -1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 1}, {0, -1, 1, 0, -1, -1, 0, -1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, -1, -1, 0, 1, 0}, {0, -1, 1, 0, -1, -1, 0, -1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 1}, {0, -1, 1, -1, 0, -1, 0, 1, -1, 0, 1, 1, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, 0}, {0, -1, 1, -1, 0, -1, 0, 1, -1, 0, 1, 1, 0, 0, 0, 0, 0, -1, 1, 0, -1, 0, 1}, {0, -1, 1, -1, 0, -1, 0, 1, -1, 0, 1, 1, 0, 0, 0, 0, 0, -1, 1, -1, 0, 1, 0}, {0, -1, 1, -1, 0, -1, 0, 1, -1, 0, 1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0}, {0, -1, 1, -1, 0, -1, 0, 1, -1, 0, 1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 1}, {0, -1, 1, -1, 0, -1, 0, 1, -1, 0, 1, 1, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0}, {0, -1, -1, 0, -1, 0, 0, -1, 1, 0, 1, 1, 1, 1, 0, 1, -1, 0, 0, 0, -1, 0, 0}, {0, -1, -1, 0, -1, 0, 0, -1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, -1, 0, -1, 0, 0}, {0, -1, -1, 0, -1, 0, 0, -1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 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-1, -2, -2, 0, 0, 0, 1, 1, 3, 3, -1, 3, 1, 0, 0, 0, 0, -1, -4, 0, 0, 0}, {-2, 0, -2, -1, -1, 0, 3, 3, 1, 0, -1, 1, 3, 1, 0, 0, 0, -4, -1, 1, -1, -1, 1}, {-2, 0, -2, -1, -1, 0, 3, 3, 1, 0, -1, 1, 3, 1, 0, 0, 0, -4, -1, 1, -1, 0, 0}, {-2, 0, -2, -1, -1, 0, 3, 1, 3, 0, 1, -1, 1, 3, 0, 0, 0, -1, -4, -1, 1, 1, -1}, {-2, 0, -2, -1, -1, 0, 3, 3, 1, 0, -1, 1, 3, 1, 0, 0, 0, -4, -1, 0, 0, 1, -1}, {-2, 0, -2, -1, -1, 0, 3, 1, 3, 0, 1, -1, 1, 3, 0, -1, 1, -1, -4, 0, 0, 1, -1}, {-2, 0, -2, -1, -1, 0, 3, 1, 3, 0, 1, -1, 1, 3, 0, 0, 0, -1, -4, 0, 0, -1, 1}, {-2, -2, 0, -1, -1, 3, 0, 3, 1, 0, 3, 1, -1, 1, 0, -4, -1, 1, -1, 0, 0, -1, 1}, {-2, 0, -2, -1, -1, 0, 3, 1, 3, 0, 1, -1, 1, 3, 0, 0, 0, -1, -4, -1, 1, 0, 0}, {-3, 0, -2, -1, -2, 0, 0, 3, 3, 1, -1, 1, 2, 3, 0, 0, 0, 1, -4, 0, -1, 0, 0}, {-2, -2, 0, -1, -1, 3, 0, 3, 1, 0, 3, 1, -1, 1, 0, -4, -1, 0, 0, 1, -1, -1, 1}, {-3, 0, -2, -2, -1, 0, 0, 3, 3, 1, 1, -1, 3, 2, 0, 0, 0, -4, 1, -1, 0, 0, 0}, {-3, 0, -2, -2, -1, 0, 0, 3, 3, 1, 1, -1, 2, 3, 0, 0, 0, 1, -4, -1, 0, 0, 0}, {0, -2, 3, -1, -2, -2, 0, -1, 1, 0, 3, 2, 0, 0, 0, 0, -1, 0, 0, -4, 1, 3, 0}, {0, -2, 3, -1, -2, -2, 0, -1, 1, 0, 2, 3, 0, 0, 0, 0, -1, 0, 0, 1, -4, 0, 3}, {-2, -2, -1, -4, 0, 2, 3, 6, -2, 0, 3, 1, 3, 1, -1, -4, 0, -4, 0, 0, -1, 1, 1}, {0, -2, 3, -2, -1, -2, 0, 1, -1, 0, 3, 2, 0, 0, 0, -1, 0, 0, 0, -4, 1, 3, 0}, {0, -2, 3, -2, -1, -2, 0, 1, -1, 0, 2, 3, 0, 0, 0, -1, 0, 0, 0, 1, -4, 0, 3}, {-2, 0, 3, -1, -2, -2, 0, 3, 2, 0, -1, 1, 0, 0, 0, 0, -1, -4, 1, 0, 0, 3, 0}, {-3, -2, 0, -1, -2, 0, 0, 3, 3, 1, 3, 2, -1, 1, 0, -4, 1, 0, 0, 0, -1, 0, 0}, {-2, 0, 3, -1, -2, -2, 0, 2, 3, 0, -1, 1, 0, 0, 0, 0, -1, 1, -4, 0, 0, 0, 3}, {-3, -2, 0, -1, -2, 0, 0, 3, 3, 1, 2, 3, -1, 1, 0, 1, -4, 0, 0, 0, -1, 0, 0}, {-2, 0, 3, -2, -1, -2, 0, 3, 2, 0, 1, -1, 0, 0, 0, -1, 0, -4, 1, 0, 0, 3, 0}, {-3, -2, 0, -2, -1, 0, 0, 3, 3, 1, 3, 2, 1, -1, 0, -4, 1, 0, 0, -1, 0, 0, 0}, {-2, 0, 3, -2, -1, -2, 0, 2, 3, 0, 1, -1, 0, 0, 0, -1, 0, 1, -4, 0, 0, 0, 3}, {-3, -2, 0, -2, -1, 0, 0, 3, 3, 1, 2, 3, 1, -1, 0, 1, -4, 0, 0, -1, 0, 0, 0}, {0, -2, -3, -1, -2, 1, 0, -1, 1, 0, 3, 2, 3, 3, 0, 0, -1, 0, 0, -4, 1, 0, 0}, {0, -2, -3, -1, -2, 1, 0, -1, 1, 0, 2, 3, 3, 3, 0, 0, -1, 0, 0, 1, -4, 0, 0}, {0, -2, -3, -2, -1, 1, 0, 1, -1, 0, 3, 2, 3, 3, 0, -1, 0, 0, 0, -4, 1, 0, 0}, {0, -2, -3, -2, -1, 1, 0, 1, -1, 0, 2, 3, 3, 3, 0, -1, 0, 0, 0, 1, -4, 0, 0}, {0, -3, -2, -1, -2, 0, 1, -1, 1, 0, 3, 3, 3, 2, 0, 0, 0, 0, -1, -4, 1, 0, 0}, {0, -3, -2, -1, -2, 0, 1, -1, 1, 0, 3, 3, 2, 3, 0, 0, 0, 0, -1, 1, -4, 0, 0}, {0, -3, -2, -2, -1, 0, 1, 1, -1, 0, 3, 3, 3, 2, 0, 0, 0, -1, 0, -4, 1, 0, 0}, {0, -3, -2, -2, -1, 0, 1, 1, -1, 0, 3, 3, 2, 3, 0, 0, 0, -1, 0, 1, -4, 0, 0}, {-2, 0, -3, -1, -2, 1, 0, 3, 2, 0, -1, 1, 3, 3, 0, 0, -1, -4, 1, 0, 0, 0, 0}, {-2, 0, -3, -1, -2, 1, 0, 2, 3, 0, -1, 1, 3, 3, 0, 0, -1, 1, -4, 0, 0, 0, 0}, {0, -1, 3, -2, -2, -4, 0, 1, 1, 0, 3, 1, 0, 0, 0, 0, 0, -1, 0, -4, 2, 3, 0}, {-2, 0, -3, -2, -1, 1, 0, 3, 2, 0, 1, -1, 3, 3, 0, -1, 0, -4, 1, 0, 0, 0, 0}, {0, -1, 3, -2, -2, -4, 0, 1, 1, 0, 1, 3, 0, 0, 0, 0, 0, 0, -1, 2, -4, 0, 3}, {-2, 0, -3, -2, -1, 1, 0, 2, 3, 0, 1, -1, 3, 3, 0, -1, 0, 1, -4, 0, 0, 0, 0}, {0, -1, 3, -2, -2, -4, 0, 1, 0, 0, 3, 2, 0, 0, 0, 0, 0, -1, 1, -4, 1, 3, 0}, {-2, -3, 0, -1, -2, 0, 1, 3, 2, 0, 3, 3, -1, 1, 0, -4, 1, 0, -1, 0, 0, 0, 0}, {0, -1, 3, -2, -2, -4, 0, 0, 1, 0, 2, 3, 0, 0, 0, 0, 0, 1, -1, 1, -4, 0, 3}, {-2, -3, 0, -1, -2, 0, 1, 2, 3, 0, 3, 3, -1, 1, 0, 1, -4, 0, -1, 0, 0, 0, 0}, {-1, 0, 3, -2, -2, -4, 0, 3, 2, 0, 1, 0, 0, 0, 0, 0, 0, -4, 1, -1, 1, 3, 0}, {-2, -3, 0, -2, -1, 0, 1, 3, 2, 0, 3, 3, 1, -1, 0, -4, 1, -1, 0, 0, 0, 0, 0}, {-1, 0, 3, -2, -2, -4, 0, 3, 1, 0, 1, 1, 0, 0, 0, 0, 0, -4, 2, -1, 0, 3, 0}, {-2, -3, 0, -2, -1, 0, 1, 2, 3, 0, 3, 3, 1, -1, 0, 1, -4, -1, 0, 0, 0, 0, 0}, {-1, 0, 3, -2, -2, -4, 0, 2, 3, 0, 0, 1, 0, 0, 0, 0, 0, 1, -4, 1, -1, 0, 3}, {-1, 0, 3, -2, -2, -4, 0, 1, 3, 0, 1, 1, 0, 0, 0, 0, 0, 2, -4, 0, -1, 0, 3}, {-3, 0, -2, -1, -2, 0, 0, 3, 3, 1, -1, 1, 3, 2, 0, 0, 0, -4, 1, 0, -1, 0, 0}, {-2, -2, -1, -4, 0, 2, 3, 6, -2, 0, 3, 1, 3, 1, -1, -4, 0, -4, 0, 0, -1, 0, 2}, {-2, -4, -4, 0, -5, 3, 3, -2, 6, 3, 2, 6, 2, 6, 0, 0, -4, 0, -4, -2, -4, 0, 0}, {-2, -4, -4, -5, 0, 3, 3, 6, -2, 3, 6, 2, 6, 2, 0, -4, 0, -4, 0, -4, -2, 0, 0}, {-4, -2, -4, 0, -5, 3, 3, 2, 6, 3, -2, 6, 2, 6, 0, 0, -4, -2, -4, 0, -4, 0, 0}, {-2, -4, -4, 0, -5, 3, 3, -2, 6, 3, 2, 6, 2, 6, 0, 0, -4, 0, -4, -2, -4, 1, -1}, {-4, -2, -4, -5, 0, 3, 3, 6, 2, 3, 6, -2, 6, 2, 0, -4, 0, -4, -2, -4, 0, 0, 0}, {-2, -4, -4, -5, 0, 3, 3, 6, -2, 3, 6, 2, 6, 2, 0, -4, 0, -4, 0, -4, -2, -1, 1}, {-4, -4, -2, 0, -5, 3, 3, 2, 6, 3, 2, 6, -2, 6, 0, -2, -4, 0, -4, 0, -4, 0, 0}, {-4, -2, -4, 0, -5, 3, 3, 2, 6, 3, -2, 6, 2, 6, 0, 0, -4, -2, -4, 0, -4, 1, -1}, {-4, -2, -4, -5, 0, 3, 3, 6, 2, 3, 6, -2, 6, 2, 0, -4, 0, -4, -2, -4, 0, -1, 1}, {-4, -4, -2, -5, 0, 3, 3, 6, 2, 3, 6, 2, 6, -2, 0, -4, -2, -4, 0, -4, 0, 0, 0}, {-4, -4, -2, 0, -5, 3, 3, 2, 6, 3, 2, 6, -2, 6, 0, -2, -4, 0, -4, 0, -4, 1, -1}, {-2, -4, -4, 0, -5, 3, 3, -2, 6, 3, 2, 6, 2, 6, 0, 0, -4, 0, -4, -1, -5, 0, 0}, {-4, -4, -2, -5, 0, 3, 3, 6, 2, 3, 6, 2, 6, -2, 0, -4, -2, -4, 0, -4, 0, -1, 1}, {-2, -4, -4, -5, 0, 3, 3, 6, -2, 3, 6, 2, 6, 2, 0, -4, 0, -4, 0, -5, -1, 0, 0}, {-2, -4, -4, 0, -5, 3, 3, -2, 6, 3, 2, 6, 2, 6, 0, 0, -4, 0, -4, -1, -5, -1, 1}, {-4, -2, -4, 0, -5, 3, 3, 2, 6, 3, -2, 6, 2, 6, 0, 0, -4, -1, -5, 0, -4, 0, 0}, {-2, -4, -4, -5, 0, 3, 3, 6, -2, 3, 6, 2, 6, 2, 0, -4, 0, -4, 0, -5, -1, 1, -1}, {-4, -2, -4, -5, 0, 3, 3, 6, 2, 3, 6, -2, 6, 2, 0, -4, 0, -5, -1, -4, 0, 0, 0}, {-4, -2, -4, 0, -5, 3, 3, 2, 6, 3, -2, 6, 2, 6, 0, 0, -4, -1, -5, 0, -4, -1, 1}, {-4, -4, -2, 0, -5, 3, 3, 2, 6, 3, 2, 6, -2, 6, 0, -1, -5, 0, -4, 0, -4, 0, 0}, {-4, -2, -4, -5, 0, 3, 3, 6, 2, 3, 6, -2, 6, 2, 0, -4, 0, -5, -1, -4, 0, 1, -1}, {-4, -4, -2, -5, 0, 3, 3, 6, 2, 3, 6, 2, 6, -2, 0, -5, -1, -4, 0, -4, 0, 0, 0}, {-4, -4, -2, 0, -5, 3, 3, 2, 6, 3, 2, 6, -2, 6, 0, -1, -5, 0, -4, 0, -4, -1, 1}, {-4, -4, -2, -5, 0, 3, 3, 6, 2, 3, 6, 2, 6, -2, 0, -5, -1, -4, 0, -4, 0, 1, -1}, {-4, -8, -14, -4, -10, 1, 12, -5, 13, 9, 12, 6, 13, 15, 0, 0, -1, 0, -16, -12, -7, -4, 4}, {-4, -8, -14, -10, -4, 1, 12, 13, -5, 9, 6, 12, 15, 13, 0, -1, 0, -16, 0, -7, -12, 4, -4}, {-4, -14, -8, -4, -10, 12, 1, -5, 13, 9, 13, 15, 12, 6, 0, 0, -16, 0, -1, -12, -7, -4, 4}, {-4, -14, -8, -10, -4, 12, 1, 13, -5, 9, 15, 13, 6, 12, 0, -16, 0, -1, 0, -7, -12, 4, -4}, {-4, -8, -14, -4, -10, 1, 12, -5, 13, 9, 12, 6, 13, 15, 0, 0, -1, 0, -16, -16, -3, 4, -4}, {-8, -4, -14, -4, -10, 1, 9, 12, 6, 12, -5, 13, 13, 15, 0, 0, -1, -12, -7, 0, -16, -4, 4}, {-4, -8, -14, -10, -4, 1, 12, 13, -5, 9, 6, 12, 15, 13, 0, -1, 0, -16, 0, -3, -16, -4, 4}, {-8, -4, -14, -10, -4, 1, 9, 6, 12, 12, 13, -5, 15, 13, 0, -1, 0, -7, -12, -16, 0, 4, -4}, {-4, -14, -8, -4, -10, 12, 1, -5, 13, 9, 13, 15, 12, 6, 0, 0, -16, 0, -1, -16, -3, 4, -4}, {-8, -14, -4, -4, -10, 9, 1, 12, 6, 12, 13, 15, -5, 13, 0, -12, -7, 0, -1, 0, -16, -4, 4}, {-4, -14, -8, -10, -4, 12, 1, 13, -5, 9, 15, 13, 6, 12, 0, -16, 0, -1, 0, -3, -16, -4, 4}, {-8, -14, -4, -10, -4, 9, 1, 6, 12, 12, 15, 13, 13, -5, 0, -7, -12, -1, 0, -16, 0, 4, -4}, {-8, -4, -14, -4, -10, 1, 9, 12, 6, 12, -5, 13, 13, 15, 0, 0, -1, -16, -3, 0, -16, 4, -4}, {-14, -4, -8, -4, -10, 12, 9, 13, 15, 1, -5, 13, 12, 6, 0, 0, -16, -12, -7, 0, -1, -4, 4}, {-14, -4, -8, -10, -4, 12, 9, 15, 13, 1, 13, -5, 6, 12, 0, -16, 0, -7, -12, -1, 0, 4, -4}, {-8, -4, -14, -10, -4, 1, 9, 6, 12, 12, 13, -5, 15, 13, 0, -1, 0, -3, -16, -16, 0, -4, 4}, {-8, -14, -4, -4, -10, 9, 1, 12, 6, 12, 13, 15, -5, 13, 0, -16, -3, 0, -1, 0, -16, 4, -4}, {-14, -8, -4, -4, -10, 9, 12, 13, 15, 1, 12, 6, -5, 13, 0, -12, -7, 0, -16, 0, -1, -4, 4}, {-8, -14, -4, -10, -4, 9, 1, 6, 12, 12, 15, 13, 13, -5, 0, -3, -16, -1, 0, -16, 0, -4, 4}, {-14, -8, -4, -10, -4, 9, 12, 15, 13, 1, 6, 12, 13, -5, 0, -7, -12, -16, 0, -1, 0, 4, -4}, {-14, -4, -8, -4, -10, 12, 9, 13, 15, 1, -5, 13, 12, 6, 0, 0, -16, -16, -3, 0, -1, 4, -4}, {-14, -4, -8, -10, -4, 12, 9, 15, 13, 1, 13, -5, 6, 12, 0, -16, 0, -3, -16, -1, 0, -4, 4}, {-14, -8, -4, -4, -10, 9, 12, 13, 15, 1, 12, 6, -5, 13, 0, -16, -3, 0, -16, 0, -1, 4, -4}, {-14, -8, -4, -10, -4, 9, 12, 15, 13, 1, 6, 12, 13, -5, 0, -3, -16, -16, 0, -1, 0, -4, 4}, {-4, -8, -14, -1, -13, 1, 12, -5, 13, 9, 6, 12, 7, 21, 0, 0, -1, 0, -16, -3, -16, -4, 4}, {-4, -8, -14, -13, -1, 1, 12, 13, -5, 9, 12, 6, 21, 7, 0, -1, 0, -16, 0, -16, -3, 4, -4}, {-4, -14, -8, -1, -13, 12, 1, -5, 13, 9, 7, 21, 6, 12, 0, 0, -16, 0, -1, -3, -16, -4, 4}, {-4, -14, -8, -13, -1, 12, 1, 13, -5, 9, 21, 7, 12, 6, 0, -16, 0, -1, 0, -16, -3, 4, -4}, {-8, -4, -14, -1, -13, 1, 9, 6, 12, 12, -5, 13, 7, 21, 0, 0, -1, -3, -16, 0, -16, -4, 4}, {-8, -4, -14, -13, -1, 1, 9, 12, 6, 12, 13, -5, 21, 7, 0, -1, 0, -16, -3, -16, 0, 4, -4}, {-8, -14, -4, -1, -13, 9, 1, 6, 12, 12, 7, 21, -5, 13, 0, -3, -16, 0, -1, 0, -16, -4, 4}, {-8, -14, -4, -13, -1, 9, 1, 12, 6, 12, 21, 7, 13, -5, 0, -16, -3, -1, 0, -16, 0, 4, -4}, {-14, -4, -8, -1, -13, 12, 9, 7, 21, 1, -5, 13, 6, 12, 0, 0, -16, -3, -16, 0, -1, -4, 4}, {-14, -4, -8, -13, -1, 12, 9, 21, 7, 1, 13, -5, 12, 6, 0, -16, 0, -16, -3, -1, 0, 4, -4}, {-14, -8, -4, -1, -13, 9, 12, 7, 21, 1, 6, 12, -5, 13, 0, -3, -16, 0, -16, 0, -1, -4, 4}, {-14, -8, -4, -13, -1, 9, 12, 21, 7, 1, 12, 6, 13, -5, 0, -16, -3, -16, 0, -1, 0, 4, -4}, {-4, -8, -14, -1, -13, 1, 12, -5, 13, 9, 6, 12, 7, 21, 0, 0, -1, 0, -16, -7, -12, 4, -4}, {-4, -8, -14, -13, -1, 1, 12, 13, -5, 9, 12, 6, 21, 7, 0, -1, 0, -16, 0, -12, -7, -4, 4}, {-4, -14, -8, -1, -13, 12, 1, -5, 13, 9, 7, 21, 6, 12, 0, 0, -16, 0, -1, -7, -12, 4, -4}, {-4, -14, -8, -13, -1, 12, 1, 13, -5, 9, 21, 7, 12, 6, 0, -16, 0, -1, 0, -12, -7, -4, 4}, {-8, -4, -14, -1, -13, 1, 9, 6, 12, 12, -5, 13, 7, 21, 0, 0, -1, -7, -12, 0, -16, 4, -4}, {-8, -4, -14, -13, -1, 1, 9, 12, 6, 12, 13, -5, 21, 7, 0, -1, 0, -12, -7, -16, 0, -4, 4}, {-8, -14, -4, -1, -13, 9, 1, 6, 12, 12, 7, 21, -5, 13, 0, -7, -12, 0, -1, 0, -16, 4, -4}, {-8, -14, -4, -13, -1, 9, 1, 12, 6, 12, 21, 7, 13, -5, 0, -12, -7, -1, 0, -16, 0, -4, 4}, {-14, -4, -8, -1, -13, 12, 9, 7, 21, 1, -5, 13, 6, 12, 0, 0, -16, -7, -12, 0, -1, 4, -4}, {-14, -4, -8, -13, -1, 12, 9, 21, 7, 1, 13, -5, 12, 6, 0, -16, 0, -12, -7, -1, 0, -4, 4}, {-14, -8, -4, -1, -13, 9, 12, 7, 21, 1, 6, 12, -5, 13, 0, -7, -12, 0, -16, 0, -1, 4, -4}, {-14, -8, -4, -13, -1, 9, 12, 21, 7, 1, 12, 6, 13, -5, 0, -12, -7, -16, 0, -1, 0, -4, 4}, {-6, -2, 12, -5, -7, -9, 0, 9, 9, 1, -4, 6, 1, -1, 0, 4, -7, 0, -12, -1, 0, -4, 16}, {-6, -2, 12, -7, -5, -9, 0, 9, 9, 1, 6, -4, -1, 1, 0, -7, 4, -12, 0, 0, -1, 16, -4}, {-2, -6, 12, -5, -7, -9, 1, -4, 6, 0, 9, 9, 1, -1, 0, 4, -7, -1, 0, 0, -12, 0, 12}, {-2, -6, 12, -7, -5, -9, 1, 6, -4, 0, 9, 9, -1, 1, 0, -7, 4, 0, -1, -12, 0, 12, 0}, {-6, -2, 12, -5, -7, -9, 0, 9, 9, 1, -4, 6, 1, -1, 0, 4, -7, 0, -12, -1, 0, 0, 12}, {-6, -2, 12, -7, -5, -9, 0, 9, 9, 1, 6, -4, -1, 1, 0, -7, 4, -12, 0, 0, -1, 12, 0}, {-2, -6, 12, -4, -8, -9, 1, -4, 6, 0, 9, 9, -1, 1, 0, 4, -7, 0, -1, -12, 0, 12, 0}, {-2, -6, 12, -8, -4, -9, 1, 6, -4, 0, 9, 9, 1, -1, 0, -7, 4, -1, 0, 0, -12, 0, 12}, {-6, -2, 12, -4, -8, -9, 0, 9, 9, 1, -4, 6, -1, 1, 0, 4, -7, -12, 0, 0, -1, 12, 0}, {-6, -2, 12, -8, -4, -9, 0, 9, 9, 1, 6, -4, 1, -1, 0, -7, 4, 0, -12, -1, 0, 0, 12}, {-2, -6, 12, -5, -7, -9, 1, -4, 6, 0, 9, 9, 1, -1, 0, 4, -7, -1, 0, 0, -12, -4, 16}, {-2, -6, 12, -7, -5, -9, 1, 6, -4, 0, 9, 9, -1, 1, 0, -7, 4, 0, -1, -12, 0, 16, -4}, {-4, -11, 1, -10, -1, 9, 1, 13, -5, 0, 15, 7, 3, 3, 0, -16, 0, -1, 0, 0, -7, -4, 7}, {-1, -4, -3, -2, -4, -2, 0, 3, -1, 6, 3, 7, 2, 6, 0, 0, 0, -4, 4, -3, -8, 1, 0}, {-1, -4, -3, -4, -2, -2, 0, -1, 3, 6, 7, 3, 6, 2, 0, 0, 0, 4, -4, -8, -3, 0, 1}, {-4, -1, -3, -2, -4, -2, 6, 3, 7, 0, 3, -1, 2, 6, 0, 0, 0, -3, -8, -4, 4, 1, 0}, {-4, -1, -3, -4, -2, -2, 6, 7, 3, 0, -1, 3, 6, 2, 0, 0, 0, -8, -3, 4, -4, 0, 1}, {-4, -8, 1, -10, -1, 9, 1, 13, -5, 0, 12, 4, 3, 3, -3, -16, 0, -1, 0, 0, -4, -1, 7}, {0, -2, 3, -1, -2, -2, 0, -1, 1, 0, 3, 2, 0, 0, 0, 0, -1, 0, 0, -4, 1, 4, -1}, {0, -2, 3, -1, -2, -2, 0, -1, 1, 0, 2, 3, 0, 0, 0, 0, -1, 0, 0, 1, -4, -1, 4}, {0, -2, 3, -2, -1, -2, 0, 1, -1, 0, 3, 2, 0, 0, 0, -1, 0, 0, 0, -4, 1, 4, -1}, {0, -2, 3, -2, -1, -2, 0, 1, -1, 0, 2, 3, 0, 0, 0, -1, 0, 0, 0, 1, -4, -1, 4}, {-2, 0, 3, -1, -2, -2, 0, 3, 2, 0, -1, 1, 0, 0, 0, 0, -1, -4, 1, 0, 0, 4, -1}, {-2, 0, 3, -1, -2, -2, 0, 2, 3, 0, -1, 1, 0, 0, 0, 0, -1, 1, -4, 0, 0, -1, 4}, {-2, 0, 3, -2, -1, -2, 0, 3, 2, 0, 1, -1, 0, 0, 0, -1, 0, -4, 1, 0, 0, 4, -1}, {-2, 0, 3, -2, -1, -2, 0, 2, 3, 0, 1, -1, 0, 0, 0, -1, 0, 1, -4, 0, 0, -1, 4}, {-2, -3, -1, -4, 0, 2, 3, 6, -2, 0, 4, 2, 3, 1, 0, -4, 0, -4, 0, 0, -2, 0, 1}, {-1, -4, -5, -2, -4, -1, 0, 3, -1, 6, 3, 7, 3, 7, 0, 0, 0, -4, 4, -3, -8, 0, 0}, {-1, -4, -5, -4, -2, -1, 0, -1, 3, 6, 7, 3, 7, 3, 0, 0, 0, 4, -4, -8, -3, 0, 0}, {-1, -5, -4, -2, -4, 0, -1, 3, -1, 6, 3, 7, 3, 7, 0, -4, 4, 0, 0, -3, -8, 0, 0}, {-1, -5, -4, -4, -2, 0, -1, -1, 3, 6, 7, 3, 7, 3, 0, 4, -4, 0, 0, -8, -3, 0, 0}, {-4, -1, -5, -2, -4, -1, 6, 3, 7, 0, 3, -1, 3, 7, 0, 0, 0, -3, -8, -4, 4, 0, 0}, {-4, -1, -5, -4, -2, -1, 6, 7, 3, 0, -1, 3, 7, 3, 0, 0, 0, -8, -3, 4, -4, 0, 0}, {-4, -5, -1, -2, -4, 6, -1, 3, 7, 0, 3, 7, 3, -1, 0, -3, -8, 0, 0, -4, 4, 0, 0}, {-4, -5, -1, -4, -2, 6, -1, 7, 3, 0, 7, 3, -1, 3, 0, -8, -3, 0, 0, 4, -4, 0, 0}, {-5, -1, -4, -2, -4, 0, 6, 3, 7, -1, 3, -1, 3, 7, 0, -4, 4, -3, -8, 0, 0, 0, 0}, {-5, -1, -4, -4, -2, 0, 6, 7, 3, -1, -1, 3, 7, 3, 0, 4, -4, -8, -3, 0, 0, 0, 0}, {-5, -4, -1, -2, -4, 6, 0, 3, 7, -1, 3, 7, 3, -1, 0, -3, -8, -4, 4, 0, 0, 0, 0}, {-5, -4, -1, -4, -2, 6, 0, 7, 3, -1, 7, 3, -1, 3, 0, -8, -3, 4, -4, 0, 0, 0, 0}, {0, -1, 4, -2, -3, -5, 0, -1, 2, 0, 3, 3, 0, 0, 0, 0, 0, 2, -2, 0, -4, -2, 6}, {0, -1, 4, -3, -2, -5, 0, 2, -1, 0, 3, 3, 0, 0, 0, 0, 0, -2, 2, -4, 0, 6, -2}, {-1, 0, 4, -2, -3, -5, 0, 3, 3, 0, -1, 2, 0, 0, 0, 0, 0, 0, -4, 2, -2, -2, 6}, {-1, 0, 4, -3, -2, -5, 0, 3, 3, 0, 2, -1, 0, 0, 0, 0, 0, -4, 0, -2, 2, 6, -2}, {-2, -3, -1, -4, 0, 2, 3, 6, -2, 0, 4, 2, 3, 1, 0, -4, 0, -4, 0, 0, -2, -1, 2}, {0, -2, 4, -1, -3, -3, 0, -2, 2, 0, 3, 3, 0, 0, 0, 0, -1, 1, -1, -4, 0, 3, 1}, {0, -2, 4, -3, -1, -3, 0, 2, -2, 0, 3, 3, 0, 0, 0, -1, 0, -1, 1, 0, -4, 1, 3}, {-2, 0, 4, -1, -3, -3, 0, 3, 3, 0, -2, 2, 0, 0, 0, 0, -1, -4, 0, 1, -1, 3, 1}, {-2, 0, 4, -3, -1, -3, 0, 3, 3, 0, 2, -2, 0, 0, 0, -1, 0, 0, -4, -1, 1, 1, 3}, {-1, -3, 2, -2, -2, -2, -1, 3, -1, 0, 3, 3, 1, 1, 0, -4, 4, 0, 0, -3, 0, 7, -5}, {-1, -3, 2, -2, -2, -2, -1, -1, 3, 0, 3, 3, 1, 1, 0, 4, -4, 0, 0, 0, -3, -5, 7}, {-3, -1, 2, -2, -2, -2, 0, 3, 3, -1, 3, -1, 1, 1, 0, -4, 4, -3, 0, 0, 0, 7, -5}, {0, -2, 4, -1, -3, -3, 0, -2, 2, 0, 3, 3, 0, 0, 0, 1, -2, 0, 0, -4, 0, 3, 1}, {-3, -1, 2, -2, -2, -2, 0, 3, 3, -1, -1, 3, 1, 1, 0, 4, -4, 0, -3, 0, 0, -5, 7}, {0, -2, 4, -3, -1, -3, 0, 2, -2, 0, 3, 3, 0, 0, 0, -2, 1, 0, 0, 0, -4, 1, 3}, {-2, 0, 4, -1, -3, -3, 0, 3, 3, 0, -2, 2, 0, 0, 0, 1, -2, -4, 0, 0, 0, 3, 1}, {-2, 0, 4, -3, -1, -3, 0, 3, 3, 0, 2, -2, 0, 0, 0, -2, 1, 0, -4, 0, 0, 1, 3}, {0, -2, -3, -1, -2, 1, 0, -1, 1, 0, 3, 2, 3, 3, 0, 0, -1, 0, 0, -4, 1, 4, -4}, {0, -2, -3, -1, -2, 1, 0, -1, 1, 0, 2, 3, 3, 3, 0, 0, -1, 0, 0, 1, -4, -4, 4}, {0, -2, -3, -2, -1, 1, 0, 1, -1, 0, 3, 2, 3, 3, 0, -1, 0, 0, 0, -4, 1, 4, -4}, {0, -2, -3, -2, -1, 1, 0, 1, -1, 0, 2, 3, 3, 3, 0, -1, 0, 0, 0, 1, -4, -4, 4}, {0, -3, -2, -1, -2, 0, 1, -1, 1, 0, 3, 3, 3, 2, 0, 0, 0, 0, -1, -4, 1, 4, -4}, {0, -3, -2, -1, -2, 0, 1, -1, 1, 0, 3, 3, 2, 3, 0, 0, 0, 0, -1, 1, -4, -4, 4}, {0, -3, -2, -2, -1, 0, 1, 1, -1, 0, 3, 3, 3, 2, 0, 0, 0, -1, 0, -4, 1, 4, -4}, {0, -3, -2, -2, -1, 0, 1, 1, -1, 0, 3, 3, 2, 3, 0, 0, 0, -1, 0, 1, -4, -4, 4}, {-2, 0, -3, -1, -2, 1, 0, 3, 2, 0, -1, 1, 3, 3, 0, 0, -1, -4, 1, 0, 0, 4, -4}, {-2, 0, -3, -1, -2, 1, 0, 2, 3, 0, -1, 1, 3, 3, 0, 0, -1, 1, -4, 0, 0, -4, 4}, {-2, 0, -3, -2, -1, 1, 0, 3, 2, 0, 1, -1, 3, 3, 0, -1, 0, -4, 1, 0, 0, 4, -4}, {-2, 0, -3, -2, -1, 1, 0, 2, 3, 0, 1, -1, 3, 3, 0, -1, 0, 1, -4, 0, 0, -4, 4}, {-2, -3, 0, -1, -2, 0, 1, 3, 2, 0, 3, 3, -1, 1, 0, -4, 1, 0, -1, 0, 0, 4, -4}, {0, -2, 4, -1, -3, -3, 0, -2, 2, 0, 3, 3, 0, 0, 0, 0, -1, 0, 0, 0, -4, 1, 3}, {-2, -3, 0, -1, -2, 0, 1, 2, 3, 0, 3, 3, -1, 1, 0, 1, -4, 0, -1, 0, 0, -4, 4}, {0, -2, 4, -3, -1, -3, 0, 2, -2, 0, 3, 3, 0, 0, 0, -1, 0, 0, 0, -4, 0, 3, 1}, {-2, -3, 0, -2, -1, 0, 1, 3, 2, 0, 3, 3, 1, -1, 0, -4, 1, -1, 0, 0, 0, 4, -4}, {-2, 0, 4, -1, -3, -3, 0, 3, 3, 0, -2, 2, 0, 0, 0, 0, -1, 0, -4, 0, 0, 1, 3}, {-2, -3, 0, -2, -1, 0, 1, 2, 3, 0, 3, 3, 1, -1, 0, 1, -4, -1, 0, 0, 0, -4, 4}, {-2, 0, 4, -3, -1, -3, 0, 3, 3, 0, 2, -2, 0, 0, 0, -1, 0, -4, 0, 0, 0, 3, 1}, {-3, 0, -2, -1, -2, 0, 0, 3, 3, 1, -1, 1, 3, 2, 0, 0, 0, -4, 1, 0, -1, 4, -4}, {-3, 0, -2, -1, -2, 0, 0, 3, 3, 1, -1, 1, 2, 3, 0, 0, 0, 1, -4, 0, -1, -4, 4}, {-3, 0, -2, -2, -1, 0, 0, 3, 3, 1, 1, -1, 3, 2, 0, 0, 0, -4, 1, -1, 0, 4, -4}, {-3, 0, -2, -2, -1, 0, 0, 3, 3, 1, 1, -1, 2, 3, 0, 0, 0, 1, -4, -1, 0, -4, 4}, {-3, -2, 0, -1, -2, 0, 0, 3, 3, 1, 3, 2, -1, 1, 0, -4, 1, 0, 0, 0, -1, 4, -4}, {-3, -2, 0, -1, -2, 0, 0, 3, 3, 1, 2, 3, -1, 1, 0, 1, -4, 0, 0, 0, -1, -4, 4}, {-3, -2, 0, -2, -1, 0, 0, 3, 3, 1, 3, 2, 1, -1, 0, -4, 1, 0, 0, -1, 0, 4, -4}, {-3, -2, 0, -2, -1, 0, 0, 3, 3, 1, 2, 3, 1, -1, 0, 1, -4, 0, 0, -1, 0, -4, 4}, {-4, -8, 1, -10, -1, 9, 1, 13, -5, 0, 12, 4, 3, 3, -3, -16, 0, -1, 0, 0, -4, 3, 3}, {-1, -2, 3, -2, -2, -4, 0, 3, -1, 0, 3, 3, 0, 0, 0, 0, 0, -4, 4, -3, 0, 7, -4}, {-1, -2, 3, -2, -2, -4, 0, -1, 3, 0, 3, 3, 0, 0, 0, 0, 0, 4, -4, 0, -3, -4, 7}, {-2, -1, 3, -2, -2, -4, 0, 3, 3, 0, 3, -1, 0, 0, 0, 0, 0, -3, 0, -4, 4, 7, -4}, {-2, -1, 3, -2, -2, -4, 0, 3, 3, 0, -1, 3, 0, 0, 0, 0, 0, 0, -3, 4, -4, -4, 7}, {-1, -3, 2, -2, -2, -2, -1, 3, -1, 0, 3, 3, 1, 1, 0, -4, 4, 0, 0, -3, 0, 2, 0}, {-1, -3, 2, -2, -2, -2, -1, -1, 3, 0, 3, 3, 1, 1, 0, 4, -4, 0, 0, 0, -3, 0, 2}, {-2, -3, 3, -1, -2, -3, 1, 3, -1, 0, 3, 3, -1, 1, 0, -4, 4, 0, -1, -3, 0, 7, -4}, {-2, -3, 3, -1, -2, -3, 1, -1, 3, 0, 3, 3, -1, 1, 0, 4, -4, 0, -1, 0, -3, -4, 7}, {-2, -3, 3, -2, -1, -3, 1, 3, -1, 0, 3, 3, 1, -1, 0, -4, 4, -1, 0, -3, 0, 7, -4}, {-2, -3, 3, -2, -1, -3, 1, -1, 3, 0, 3, 3, 1, -1, 0, 4, -4, -1, 0, 0, -3, -4, 7}, {-3, -2, 3, -1, -2, -3, 0, 3, 3, 1, 3, -1, -1, 1, 0, -4, 4, -3, 0, 0, -1, 7, -4}, {-3, -1, 2, -2, -2, -2, 0, 3, 3, -1, 3, -1, 1, 1, 0, -4, 4, -3, 0, 0, 0, 2, 0}, {-3, -2, 3, -1, -2, -3, 0, 3, 3, 1, -1, 3, -1, 1, 0, 4, -4, 0, -3, 0, -1, -4, 7}, {-3, -1, 2, -2, -2, -2, 0, 3, 3, -1, -1, 3, 1, 1, 0, 4, -4, 0, -3, 0, 0, 0, 2}, {-3, -2, 3, -2, -1, -3, 0, 3, 3, 1, 3, -1, 1, -1, 0, -4, 4, -3, 0, -1, 0, 7, -4}, {-3, -2, 3, -2, -1, -3, 0, 3, 3, 1, -1, 3, 1, -1, 0, 4, -4, 0, -3, -1, 0, -4, 7}, {-3, -2, 3, -2, -1, -3, 0, 3, 3, 1, 3, -1, 1, -1, 0, -4, 4, 0, -3, -1, 0, 0, 3}, {-3, -2, 3, -2, -1, -3, 0, 3, 3, 1, 3, -1, 1, -1, 0, -4, 4, -3, 0, -1, 0, 3, 0}, {-3, -2, 3, -2, -1, -3, 0, 3, 3, 1, -1, 3, 1, -1, 0, 4, -4, 0, -3, -1, 0, 0, 3}, {-1, -2, 3, -2, -2, -4, 0, 3, -1, 0, 3, 3, 0, 0, 0, 0, 0, -4, 4, -3, 0, 3, 0}, {-1, -2, 3, -2, -2, -4, 0, -1, 3, 0, 3, 3, 0, 0, 0, 0, 0, 4, -4, 0, -3, 0, 3}, {-2, -1, 3, -2, -2, -4, 0, 3, 3, 0, 3, -1, 0, 0, 0, 0, 0, -3, 0, -4, 4, 3, 0}, {-2, -1, 3, -2, -2, -4, 0, 3, 3, 0, -1, 3, 0, 0, 0, 0, 0, 0, -3, 4, -4, 0, 3}, {-1, -2, -3, -2, -2, -1, 0, 3, -1, 0, 3, 3, 3, 3, 0, 0, 0, -4, 4, -3, 0, 7, -7}, {-1, -2, -3, -2, -2, -1, 0, 3, -1, 0, 3, 3, 3, 3, 0, 0, 0, -4, 4, -3, 0, 0, 0}, {-1, -2, -3, -2, -2, -1, 0, -1, 3, 0, 3, 3, 3, 3, 0, 0, 0, 4, -4, 0, -3, 0, 0}, {-1, -2, -3, -2, -2, -1, 0, -1, 3, 0, 3, 3, 3, 3, 0, 0, 0, 4, -4, 0, -3, -7, 7}, {-1, -3, -2, -2, -2, 0, -1, 3, -1, 0, 3, 3, 3, 3, 0, -4, 4, 0, 0, -3, 0, 7, -7}, {-1, -3, -2, -2, -2, 0, -1, 3, -1, 0, 3, 3, 3, 3, 0, -4, 4, 0, 0, -3, 0, 0, 0}, {-1, -3, -2, -2, -2, 0, -1, -1, 3, 0, 3, 3, 3, 3, 0, 4, -4, 0, 0, 0, -3, 0, 0}, {-1, -3, -2, -2, -2, 0, -1, -1, 3, 0, 3, 3, 3, 3, 0, 4, -4, 0, 0, 0, -3, -7, 7}, {-2, -1, -3, -2, -2, -1, 0, 3, 3, 0, 3, -1, 3, 3, 0, 0, 0, -3, 0, -4, 4, 7, -7}, {-2, -1, -3, -2, -2, -1, 0, 3, 3, 0, 3, -1, 3, 3, 0, 0, 0, -3, 0, -4, 4, 0, 0}, {-2, -1, -3, -2, -2, -1, 0, 3, 3, 0, -1, 3, 3, 3, 0, 0, 0, 0, -3, 4, -4, 0, 0}, {-2, -1, -3, -2, -2, -1, 0, 3, 3, 0, -1, 3, 3, 3, 0, 0, 0, 0, -3, 4, -4, -7, 7}, {-2, 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