77133 is a random target.

The weights are powers of two, so any reasonable target
is attainable in one and only one way. There are twenty-one
numbers below, so the search space is pretty big.

1048576
524288
262144
131072
65536
32768
16384
8192
4096
2048
1024
512
256
128
64
32
16
8
4
2
1

