1: {}
 2: {1}
 3: {0,1}
 4: {2}
 5: {0,0,1}
 6: {1,1}
 7: {0,0,0,1}
 8: {3}
 9: {0,2}
10: {1,0,1}
11: {0,0,0,0,1}
12: {2,1}
13: {0,0,0,0,0,1}
14: {1,0,0,1}
15: {0,1,1}
16: {4}
17: {0,0,0,0,0,0,1}
18: {1,2}
19: {0,0,0,0,0,0,0,1}
20: {2,0,1}
21: {0,1,0,1}
22: {1,0,0,0,1}
23: {0,0,0,0,0,0,0,0,1}
24: {3,1}
25: {0,0,2}
26: {1,0,0,0,0,1}
27: {0,3}
28: {2,0,0,1}
29: {0,0,0,0,0,0,0,0,0,1}
30: {1,1,1}
31: {0,0,0,0,0,0,0,0,0,0,1}
32: {5}
33: {0,1,0,0,1}
34: {1,0,0,0,0,0,1}
35: {0,0,1,1}