0: 1 3 6 8 12 14 17 19 
1: 0 2 5 7 11 13 16 18 
2: 1 4 6 9 12 15 17 20 
3: 0 4 5 9 11 15 16 20 
4: 2 3 7 8 13 14 18 19 
5: 1 3 10 12 14 21 
6: 0 2 10 11 13 21 
7: 1 4 10 12 15 21 
8: 0 4 10 11 15 21 
9: 2 3 10 13 14 21 
10: 5 6 7 8 9 16 17 18 19 20 
11: 1 3 6 8 22 
12: 0 2 5 7 22 
13: 1 4 6 9 22 
14: 0 4 5 9 22 
15: 2 3 7 8 22 
16: 1 3 10 22 
17: 0 2 10 22 
18: 1 4 10 22 
19: 0 4 10 22 
20: 2 3 10 22 
21: 5 6 7 8 9 22 
22: 11 12 13 14 15 16 17 18 19 20 21 
