0=> "000000000000000100000010000000000000000000000000000000000000000000000",  --
1=> "000000000000000000000000000001000000000000000000000000000000000000000",  --
2=> "000000000000000000000000000000000000100000010000000000000000000000000",  --
3=> "000100000000000000000000000000000000000000000000000000000000000000000",  --
4=> "101100000011000000000000000000000000000000000000000000000000000000000",  --
5=> "000000001000000000000000000000000000000000000000001000000000000000000",  --
6=> "000000000000000000000000000000000000000000000000000000000000000000001",  --
7=> "000000000000000010000000100000000000000000000000000000000000000000000",  --
8=> "111010000010000000000000000000000000000000000000000000000000000000000",  --
9=> "000001000000000000000000000000000000000000000000000000000000000000000",  --
10=> "000000001000000000000000000000000000000000000000001000000000000000000",  --
11=> "001000000000000000000000000000000000000000000000000000000000000000000",  --
12=> "000000000000000100000000000000000000000000000000000000000000000000000",  --
13=> "000000000000000000000000000000000000000000000000000000000010000000000",  --
14=> "000000010000000000000000000000000000000000000000000000000000000000000",  --
15=> "000000001000000000000000000000000000000000000000000100000000000000000",  --
16=> "000000001000000000000000000000000000000000000000000000010000000000000",  --
17=> "001000000000000000000000000000000000000000000000000000000000000000000",  --
18=> "000000000000000000000010000000000000000000000000000000000000000000000",  --
19=> "000000000000000000000000000000000000000000000000000000000010011110000",  --
20=> "000010000000000000000000000000000000000000000000000000000000000000000",  --
21=> "000000001000000000000000000000000000000000000000000100000000000000000",  --
22=> "001000001000000000000000000000000000000000000000000000010000000000000",  --
23=> "000000000000000000000000000001000000000000000000000000000000000000000",  --
24=> "000000000000000000000000000000000000000000000000000000000010000000000",  --
25=> "000000001000000000000000000000000000000000000000000010000000000000000",  --
26=> "000000000000000000000000000000000000100000000000000000000000000000001",  --
27=> "111010001111100000000000000000000000000000000000000000000000000000000",  --
28=> "000000000000000000000000000000000000000000000000000000000010000010000",  --
29=> "000000001000000000000000000000000000000000000000001000000000000000000",  --
30=> "111110010001000000000000000000000000000000000000000000000000000000000",  --
31=> "000000000000000000000000000000000000000000000000000000000000000000001",  --
32=> "000000000000000000000001000000100000010000000000000000000000000000000",  --
33=> "111110001101100000000000000000000000000000000000000000000000000000000",  --
34=> "000001000000000000000000000000000000000000000000000000000000000000000",  --
35=> "000000001000000000000000000000000000000000000000001000000000000000000",  --
36=> "000000000000000000000000000000000000000000000000000000000000000000001",  --
37=> "100010010100000000000000000000000000000000000000000000000000000000000",  --
38=> "000000000000000000000000000000000000010000000000000000000000000000000",  --
39=> "000010000000000000000000000000000000000000000000000000000000000000000",  --
40=> "000000001000000000000000000000000000000000000000001000000000000000000",  --
41=> "000000100100000000000000000000000000000000000000000000000000000000000",  --
42=> "111010010001000000000000000000000000000000000000000000000000000000000",  --
43=> "100010011000000000000000000000000000000000000000000000000000000000000",  --
44=> "000000000000000000000000000000000000010000000000000000000000000000000",  --
45=> "000000000000000000000000000000000000000000000000000000000000000000010",  --
46=> "000000000000000000000000000000000000000001000000000000000000000000000",  --
47=> "111110010100100000000000000000000000000000000000000000000000000000000",  --
48=> "000000000000000000000000000000000000000001000000000000000000000000000",  --
49=> "111110010110100000000000000000000000000000000000000000000000000000000",  --