4x4 puzzles:

puzzle #1:
top = [2, 3, 1, 2]
left = [2, 1, 4, 2]
right = [2, 3, 1, 3]
bottom = [2, 1, 3, 2]

puzzle #2:
top = [1, 2, 3, 2]
left = [1, 2, 3, 2]
right = [3, 1, 2, 3]
bottom = [3, 1, 2, 3]

puzzle #3:
top = [2, 1, 3, 2]
left = [2, 4, 3, 1]
right = [2, 1, 2, 2]
bottom = [1, 3, 2, 2]


5x5 puzzles:

puzzle #1:
top = [2, 3, 3, 2, 1]
left = [2, 4, 1, 2, 2]
right = [1, 2, 3, 3, 4]
bottom = [3, 1, 2, 3, 5]

puzzle #2:
top =  [2, 2, 4, 1, 3]
left = [3, 1, 5, 2, 2]
right = [2, 2, 1, 3, 4] 
bottom = [3, 1, 2, 4, 3]

puzzle #3:
top = [3, 3, 2, 2, 1]
left = [4, 2, 1, 3, 2]
right = [1, 2, 3, 3, 4] 
bottom = [2, 1, 2, 4, 5]

6x6 puzzles:

puzzle #1:
top = [4, 2, 5, 2, 2, 1]
left = [4, 2, 2, 1, 2, 3]
right = [1, 2, 2, 4, 4, 4]
bottom = [2, 2, 1, 3, 4, 6]

puzzle #2:
top = [2, 4, 4, 2, 2, 1]
left = [2, 3, 3, 2, 1, 3]
right = [1, 2, 3, 5, 3, 4]
bottom = [2, 2, 1, 3, 4, 5]

puzzle #3:
top = [2, 4, 3, 5, 2, 1]
left = [3, 4, 1, 2, 2, 4]
right = [1, 2, 3, 4, 4, 3]
bottom = [3, 2, 2, 1, 4, 6]

7x7 puzzles:

puzzle #1:
top = [5, 3, 3, 3, 2, 1, 2]
left = [4, 5, 2, 2, 2, 4, 1] 
right = [2, 3, 4, 3, 4, 1, 3] 
bottom = [1, 2, 3, 2, 4, 4, 2]

puzzle #2:
top = [3,4,2,3,3,1,2]
left = [3,7,3,3,3,2,1]
right = [2,1,2,3,4,3,5]
bottom = [1,2,2,4,4,4,5]

puzzle #3:
top = [3,4,3,2,3,2,1]
left = [3,6,3,3,3,2,1]
right = [1,2,3,3,3,4,5]
bottom = [1,2,2,3,3,5,5]