0: 5 6 7 9 11 13 14 
1: 4 6 7 8 10 12 14 15 
2: 4 5 7 9 11 12 13 15 
3: 4 5 6 8 10 13 14 
4: 1 2 3 9 10 11 13 15 
5: 0 2 3 8 10 11 12 14 
6: 0 1 3 8 9 11 13 15 
7: 0 1 2 8 9 10 12 14 
8: 1 3 5 6 7 13 14 15 
9: 0 2 4 6 7 12 14 15 
10: 1 3 4 5 7 12 13 15 
11: 0 2 4 5 6 12 13 14 
12: 1 2 5 7 9 10 11 
13: 0 2 3 4 6 8 10 11 
14: 0 1 3 5 7 8 9 11 
15: 1 2 4 6 8 9 10