On the Subject of Encrypted Dice

Oh look! It's that 1 problem that I know how to solve.

  • Refer to the original manual for the instructions.
  • Each cell consists of a number pair, that can be submitted in either order, I.E. 1,2 is the same as 2,1.

All Possible Combinations (Including Non-unique Combinations)

1123456
15,51,21,31,41,51,6
21,21,24,43,31,61,2
31,34,41,32,24,61,3
41,43,32,21,45,61,4
51,51,64,65,61,51,5
61,61,21,31,41,51,6
2123456
11,21,24,43,31,61,2
21,25,52,32,42,52,6
34,42,32,31,12,62,3
43,32,41,12,46,62,4
51,62,52,66,62,52,5
61,22,62,32,42,52,6
3123456
11,34,41,32,24,61,3
24,42,32,31,12,62,3
31,32,35,53,43,53,6
42,21,13,43,43,63,4
54,62,63,53,63,53,5
61,32,33,63,43,53,6
4123456
11,43,32,21,45,61,4
23,32,41,12,46,62,4
32,21,13,43,43,63,4
41,42,43,45,54,54,6
55,66,63,64,54,54,5
61,42,43,44,64,54,6
5123456
11,51,64,65,61,51,5
21,62,52,66,62,52,5
34,62,63,53,63,53,5
45,66,63,64,54,54,5
51,52,53,54,55,55,6
61,52,53,54,55,65,6
6123456
11,61,21,31,41,51,6
21,22,62,32,42,52,6
31,32,33,63,43,53,6
41,42,43,44,64,54,6
51,52,53,54,55,65,6
61,62,63,64,65,65,5

All Possible Combinations (Unique Combinations Only)

1123456
15,51,21,31,41,51,6
21,24,43,31,61,2
31,32,24,61,3
41,45,61,4
51,51,5
61,6
223456
25,52,32,42,52,6
32,31,12,62,3
42,46,62,4
52,52,5
62,6
33456
35,53,43,53,6
43,43,63,4
53,53,5
63,6
4456
45,54,54,6
54,54,5
64,6
556
55,55,6
65,6
66
65,5