Advent Puzzles 2014: puzzle 18 solution

There are six distinct solutions to this puzzle. Rotations and reflections of these will also be valid. The integers can be around the circle in the following orders:

1 6 11 2 15 8 3 16 13 18 5 12 17 14 9 4 7 10
1 6 11 2 15 8 3 10 13 18 5 12 17 14 9 4 7 16

1 10 3 8 15 2 11 6 13 16 7 4 9 14 17 12 5 18
1 16 3 8 15 2 11 6 13 10 7 4 9 14 17 12 5 18

1 12 5 2 15 8 3 16 13 18 11 6 17 14 9 4 7 10
1 12 5 2 15 8 3 10 13 18 11 6 17 14 9 4 7 16
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