size 7x8
0 1 1 1 1 1 0 0
1 1 2 2 2 1 1 1
1 2 4 1 2 3 6 1
1 2 2 1 2 1 2 1
1 2 5 2 2 3 4 1
1 2 2 2 2 1 1 1
1 1 1 1 1 1 0 0