1 1 0 0 0
                0 1 1 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 1 1

1 0 1 1 0 0 0   3 1 1 1 0
1 1 0 0 0 0 0   1 2 1 0 0
0 1 1 0 1 1 0   1 1 4 1 1
0 0 0 1 1 0 1   1 0 1 3 1
0 0 0 0 0 1 1   0 0 1 1 2