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EXAMPLE
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For m = 1 the unique solution is 1 + 2 = 3.
For m = 4 there are 8 solutions:
1 5 6 | 1 5 6 | 2 5 7 | 1 6 7
2 8 10 | 3 7 10 | 3 6 9 | 4 5 9
4 7 11 | 2 9 11 | 1 10 11 | 3 8 11
3 9 12 | 4 8 12 | 4 8 12 | 2 10 12
--------+---------+---------+--------
2 4 6 | 2 6 8 | 3 4 7 | 3 5 8
1 9 10 | 4 5 9 | 1 8 9 | 2 7 9
3 8 11 | 3 7 10 | 5 6 11 | 4 6 10
5 7 12 | 1 11 12 | 2 10 12 | 1 11 12
.
The 8 solutions for m = 4, one per line:
(1, 5, 6), (2, 8, 10), (3, 9, 12), (4, 7, 11);
(1, 5, 6), (2, 9, 11), (3, 7, 10), (4, 8, 12);
(1, 10, 11), (2, 5, 7), (3, 6, 9), (4, 8, 12);
(1, 6, 7), (2, 10, 12), (3, 8, 11), (4, 5, 9);
(1, 9, 10), (2, 4, 6), (3, 8, 11), (5, 7, 12);
(1, 11, 12), (2, 6, 8), (3, 7, 10), (4, 5, 9);
(1, 8, 9), (2, 10, 12), (3, 4, 7), (5, 6, 11);
(1, 11, 12), (2, 7, 9), (3, 5, 8), (4, 6, 10).
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