7 10 12
2 1 0
2 1 1
3 2 0 2
3 2 1 2
4 2 0 3
4 2 1 3
5 2 0 4
5 2 1 4
6 2 0 5
6 2 1 5
3 0 0 0
3 1 1 1
4 0 0 1 0
4 0 0 1 1
4 0 1 0 0
4 0 1 0 1
4 0 1 1 0
4 1 0 0 1
4 1 0 1 0
4 1 0 1 1
4 1 1 0 0
4 1 1 0 1