state,range
0,00000
1,10000
2,01000
3,00100
4,00010
5,00001
6,11000
7,10100
8,01100
9,10010
10,01010
11,00110
12,10001
13,01001
14,00101
15,00011
16,11100
17,11010
18,10110
19,01110
20,11001
21,10101
22,01101
23,10011
24,01011
25,00111
26,11110
27,11101
28,11011
29,10111
30,01111
31,11111
