11000 [2 3]
10100 [1 1 1 2]
10010 [1 2 1 1]
10001 [1 3 1]
10011 [1 2 2]
01010 [0 1 1 1 1]
01001 [0 1 2 1]
00110 [0 2 2 1]
00101 [0 2 1 1 1]
00011 [0 3 2]