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Configuration = 117
cycles = (10 6 1 9 5)(8 4 2 7 3)

a = 1, b = 2, c = 7
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cycles = (10 5 6 2 8 3 1 9 4)(7)

a = 2, b = 8, c = 10
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cycles = (10 5 1 3 6)(9)(8 4 7)(2)

a = 4, b = 7, c = 8
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cycles = (10 6 1 3 7)(9)(8)(5)(4)(2)

a = 6, b = 7, c = 10
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cycles = (10)(9)(8)(7)(6 1 3)(5)(4)(2)