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 0 2
0 0 0 1 1
0 0 1 0 1
0 1 0 0 1
1 0 0 0 1
0 0 0 2 0
0 0 1 1 0
0 1 0 1 0
0 0 2 0 0
0 0 0 3
0 0 1 2
0 1 0 2
1 0 0 2
0 0 2 1
0 1 1 1
1 0 1 1
0 2 0 1
0 0 3 0
0 1 2 0
0 0 4
0 1 3
1 0 3
0 2 2
1 1 2
2 0 2
0 3 1
1 2 1
0 4 0
0 5
1 4
2 3
6