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

a = 1, b = 6, c = 9
-----

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

a = 3, b = 5, c = 10
-----

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

a = 2, b = 4, c = 9
-----

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

a = 1, b = 3, c = 8
-----

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