The moves are designated by two pairs of numbers corresponding to the first and
last position involved in each move. The positions in the board are labled
          02 03 04
          12 13 14
20 21 22 23 24 25 26
30 31 32 33 34 35 36
40 41 42 43 44 45 46
          52 53 54
          62 63 64
0204 would mean take the peg in 02, move it to 04, and remove the peg in
between at 03.
1333
2123
0222
0402
2321
2022
2404
2624
3212
0222
3032
3212
3414
0424
3634
3414
5232
4042
4222
1232
3234
4424
1434
4644
4345
6444
3454
6264
6444
4543
5333