Identifier
Mp00069:
Permutations
—complement⟶
Permutations
Mp00241: Permutations —invert Laguerre heap⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Mp00241: Permutations —invert Laguerre heap⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Images
[1] => [1] => [1] => ([],1)
[1,2] => [2,1] => [2,1] => ([(0,1)],2)
[2,1] => [1,2] => [1,2] => ([],2)
[1,2,3] => [3,2,1] => [3,2,1] => ([(0,1),(0,2),(1,2)],3)
[1,3,2] => [3,1,2] => [2,3,1] => ([(0,2),(1,2)],3)
[2,1,3] => [2,3,1] => [3,1,2] => ([(0,2),(1,2)],3)
[2,3,1] => [2,1,3] => [2,1,3] => ([(1,2)],3)
[3,1,2] => [1,3,2] => [1,3,2] => ([(1,2)],3)
[3,2,1] => [1,2,3] => [1,2,3] => ([],3)
[1,2,3,4] => [4,3,2,1] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)
[1,2,4,3] => [4,3,1,2] => [2,4,3,1] => ([(0,3),(1,2),(1,3),(2,3)],4)
[1,3,2,4] => [4,2,3,1] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4)
[1,3,4,2] => [4,2,1,3] => [3,4,2,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4)
[1,4,2,3] => [4,1,3,2] => [3,2,4,1] => ([(0,3),(1,2),(1,3),(2,3)],4)
[1,4,3,2] => [4,1,2,3] => [2,3,4,1] => ([(0,3),(1,3),(2,3)],4)
[2,1,3,4] => [3,4,2,1] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4)
[2,1,4,3] => [3,4,1,2] => [2,4,1,3] => ([(0,3),(1,2),(2,3)],4)
[2,3,1,4] => [3,2,4,1] => [4,1,3,2] => ([(0,3),(1,2),(1,3),(2,3)],4)
[2,3,4,1] => [3,2,1,4] => [3,2,1,4] => ([(1,2),(1,3),(2,3)],4)
[2,4,1,3] => [3,1,4,2] => [4,2,3,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4)
[2,4,3,1] => [3,1,2,4] => [2,3,1,4] => ([(1,3),(2,3)],4)
[3,1,2,4] => [2,4,3,1] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4)
[3,1,4,2] => [2,4,1,3] => [3,4,1,2] => ([(0,2),(0,3),(1,2),(1,3)],4)
[3,2,1,4] => [2,3,4,1] => [4,1,2,3] => ([(0,3),(1,3),(2,3)],4)
[3,2,4,1] => [2,3,1,4] => [3,1,2,4] => ([(1,3),(2,3)],4)
[3,4,1,2] => [2,1,4,3] => [2,1,4,3] => ([(0,3),(1,2)],4)
[3,4,2,1] => [2,1,3,4] => [2,1,3,4] => ([(2,3)],4)
[4,1,2,3] => [1,4,3,2] => [1,4,3,2] => ([(1,2),(1,3),(2,3)],4)
[4,1,3,2] => [1,4,2,3] => [1,3,4,2] => ([(1,3),(2,3)],4)
[4,2,1,3] => [1,3,4,2] => [1,4,2,3] => ([(1,3),(2,3)],4)
[4,2,3,1] => [1,3,2,4] => [1,3,2,4] => ([(2,3)],4)
[4,3,1,2] => [1,2,4,3] => [1,2,4,3] => ([(2,3)],4)
[4,3,2,1] => [1,2,3,4] => [1,2,3,4] => ([],4)
[1,2,3,4,5] => [5,4,3,2,1] => [5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,2,3,5,4] => [5,4,3,1,2] => [2,5,4,3,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,2,4,3,5] => [5,4,2,3,1] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
[1,2,4,5,3] => [5,4,2,1,3] => [3,5,4,2,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,2,5,3,4] => [5,4,1,3,2] => [3,2,5,4,1] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)
[1,2,5,4,3] => [5,4,1,2,3] => [2,3,5,4,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[1,3,2,4,5] => [5,3,4,2,1] => [4,2,1,5,3] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
[1,3,2,5,4] => [5,3,4,1,2] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5)
[1,3,4,2,5] => [5,3,2,4,1] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
[1,3,4,5,2] => [5,3,2,1,4] => [4,5,3,2,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,3,5,2,4] => [5,3,1,4,2] => [4,2,5,3,1] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
[1,3,5,4,2] => [5,3,1,2,4] => [2,4,5,3,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,4,2,3,5] => [5,2,4,3,1] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
[1,4,2,5,3] => [5,2,4,1,3] => [3,4,1,5,2] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[1,4,3,2,5] => [5,2,3,4,1] => [4,1,3,5,2] => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5)
[1,4,3,5,2] => [5,2,3,1,4] => [3,1,4,5,2] => ([(0,4),(1,4),(2,3),(3,4)],5)
[1,4,5,2,3] => [5,2,1,4,3] => [4,3,5,2,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,4,5,3,2] => [5,2,1,3,4] => [3,4,5,2,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,5,2,3,4] => [5,1,4,3,2] => [4,3,2,5,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,5,2,4,3] => [5,1,4,2,3] => [3,4,2,5,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,5,3,2,4] => [5,1,3,4,2] => [4,2,3,5,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,5,3,4,2] => [5,1,3,2,4] => [3,2,4,5,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[1,5,4,2,3] => [5,1,2,4,3] => [2,4,3,5,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[1,5,4,3,2] => [5,1,2,3,4] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5)
[2,1,3,4,5] => [4,5,3,2,1] => [5,3,2,1,4] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,1,3,5,4] => [4,5,3,1,2] => [2,5,3,1,4] => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5)
[2,1,4,3,5] => [4,5,2,3,1] => [3,1,5,2,4] => ([(0,4),(1,3),(2,3),(2,4)],5)
[2,1,4,5,3] => [4,5,2,1,3] => [3,5,2,1,4] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
[2,1,5,3,4] => [4,5,1,3,2] => [3,2,5,1,4] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
[2,1,5,4,3] => [4,5,1,2,3] => [2,3,5,1,4] => ([(0,4),(1,4),(2,3),(3,4)],5)
[2,3,1,4,5] => [4,3,5,2,1] => [5,2,1,4,3] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)
[2,3,1,5,4] => [4,3,5,1,2] => [2,5,1,4,3] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
[2,3,4,1,5] => [4,3,2,5,1] => [5,1,4,3,2] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,3,4,5,1] => [4,3,2,1,5] => [4,3,2,1,5] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,3,5,1,4] => [4,3,1,5,2] => [5,2,4,3,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,3,5,4,1] => [4,3,1,2,5] => [2,4,3,1,5] => ([(1,4),(2,3),(2,4),(3,4)],5)
[2,4,1,3,5] => [4,2,5,3,1] => [5,3,1,4,2] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
[2,4,1,5,3] => [4,2,5,1,3] => [3,5,1,4,2] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
[2,4,3,1,5] => [4,2,3,5,1] => [5,1,3,4,2] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,4,3,5,1] => [4,2,3,1,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5)
[2,4,5,1,3] => [4,2,1,5,3] => [5,3,4,2,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,4,5,3,1] => [4,2,1,3,5] => [3,4,2,1,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,5,1,3,4] => [4,1,5,3,2] => [5,3,2,4,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,5,1,4,3] => [4,1,5,2,3] => [3,5,2,4,1] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
[2,5,3,1,4] => [4,1,3,5,2] => [5,2,3,4,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,5,3,4,1] => [4,1,3,2,5] => [3,2,4,1,5] => ([(1,4),(2,3),(2,4),(3,4)],5)
[2,5,4,1,3] => [4,1,2,5,3] => [2,5,3,4,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,5,4,3,1] => [4,1,2,3,5] => [2,3,4,1,5] => ([(1,4),(2,4),(3,4)],5)
[3,1,2,4,5] => [3,5,4,2,1] => [5,4,2,1,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,1,2,5,4] => [3,5,4,1,2] => [2,5,4,1,3] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
[3,1,4,2,5] => [3,5,2,4,1] => [4,1,5,2,3] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[3,1,4,5,2] => [3,5,2,1,4] => [4,5,2,1,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
[3,1,5,2,4] => [3,5,1,4,2] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
[3,1,5,4,2] => [3,5,1,2,4] => [2,4,5,1,3] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[3,2,1,4,5] => [3,4,5,2,1] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[3,2,1,5,4] => [3,4,5,1,2] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5)
[3,2,4,1,5] => [3,4,2,5,1] => [5,1,4,2,3] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,2,4,5,1] => [3,4,2,1,5] => [4,2,1,3,5] => ([(1,4),(2,3),(2,4),(3,4)],5)
[3,2,5,1,4] => [3,4,1,5,2] => [5,2,4,1,3] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
[3,2,5,4,1] => [3,4,1,2,5] => [2,4,1,3,5] => ([(1,4),(2,3),(3,4)],5)
[3,4,1,2,5] => [3,2,5,4,1] => [5,4,1,3,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,4,1,5,2] => [3,2,5,1,4] => [4,5,1,3,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
[3,4,2,1,5] => [3,2,4,5,1] => [5,1,3,2,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[3,4,2,5,1] => [3,2,4,1,5] => [4,1,3,2,5] => ([(1,4),(2,3),(2,4),(3,4)],5)
[3,4,5,1,2] => [3,2,1,5,4] => [3,2,1,5,4] => ([(0,1),(2,3),(2,4),(3,4)],5)
[3,4,5,2,1] => [3,2,1,4,5] => [3,2,1,4,5] => ([(2,3),(2,4),(3,4)],5)
[3,5,1,2,4] => [3,1,5,4,2] => [5,4,2,3,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,5,1,4,2] => [3,1,5,2,4] => [4,5,2,3,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)
>>> Load all 10817 entries. <<<
[3,5,2,1,4] => [3,1,4,5,2] => [5,2,3,1,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,5,2,4,1] => [3,1,4,2,5] => [4,2,3,1,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,5,4,1,2] => [3,1,2,5,4] => [2,3,1,5,4] => ([(0,1),(2,4),(3,4)],5)
[3,5,4,2,1] => [3,1,2,4,5] => [2,3,1,4,5] => ([(2,4),(3,4)],5)
[4,1,2,3,5] => [2,5,4,3,1] => [5,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[4,1,2,5,3] => [2,5,4,1,3] => [3,5,4,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
[4,1,3,2,5] => [2,5,3,4,1] => [4,1,2,5,3] => ([(0,4),(1,4),(2,3),(3,4)],5)
[4,1,3,5,2] => [2,5,3,1,4] => [4,5,3,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)
[4,1,5,2,3] => [2,5,1,4,3] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
[4,1,5,3,2] => [2,5,1,3,4] => [3,4,5,1,2] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[4,2,1,3,5] => [2,4,5,3,1] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[4,2,1,5,3] => [2,4,5,1,3] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[4,2,3,1,5] => [2,4,3,5,1] => [5,1,2,4,3] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[4,2,3,5,1] => [2,4,3,1,5] => [4,3,1,2,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[4,2,5,1,3] => [2,4,1,5,3] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)
[4,2,5,3,1] => [2,4,1,3,5] => [3,4,1,2,5] => ([(1,3),(1,4),(2,3),(2,4)],5)
[4,3,1,2,5] => [2,3,5,4,1] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[4,3,1,5,2] => [2,3,5,1,4] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[4,3,2,1,5] => [2,3,4,5,1] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5)
[4,3,2,5,1] => [2,3,4,1,5] => [4,1,2,3,5] => ([(1,4),(2,4),(3,4)],5)
[4,3,5,1,2] => [2,3,1,5,4] => [3,1,2,5,4] => ([(0,1),(2,4),(3,4)],5)
[4,3,5,2,1] => [2,3,1,4,5] => [3,1,2,4,5] => ([(2,4),(3,4)],5)
[4,5,1,2,3] => [2,1,5,4,3] => [2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5)
[4,5,1,3,2] => [2,1,5,3,4] => [2,1,4,5,3] => ([(0,1),(2,4),(3,4)],5)
[4,5,2,1,3] => [2,1,4,5,3] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5)
[4,5,2,3,1] => [2,1,4,3,5] => [2,1,4,3,5] => ([(1,4),(2,3)],5)
[4,5,3,1,2] => [2,1,3,5,4] => [2,1,3,5,4] => ([(1,4),(2,3)],5)
[4,5,3,2,1] => [2,1,3,4,5] => [2,1,3,4,5] => ([(3,4)],5)
[5,1,2,3,4] => [1,5,4,3,2] => [1,5,4,3,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,1,2,4,3] => [1,5,4,2,3] => [1,3,5,4,2] => ([(1,4),(2,3),(2,4),(3,4)],5)
[5,1,3,2,4] => [1,5,3,4,2] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5)
[5,1,3,4,2] => [1,5,3,2,4] => [1,4,5,3,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,1,4,2,3] => [1,5,2,4,3] => [1,4,3,5,2] => ([(1,4),(2,3),(2,4),(3,4)],5)
[5,1,4,3,2] => [1,5,2,3,4] => [1,3,4,5,2] => ([(1,4),(2,4),(3,4)],5)
[5,2,1,3,4] => [1,4,5,3,2] => [1,5,3,2,4] => ([(1,4),(2,3),(2,4),(3,4)],5)
[5,2,1,4,3] => [1,4,5,2,3] => [1,3,5,2,4] => ([(1,4),(2,3),(3,4)],5)
[5,2,3,1,4] => [1,4,3,5,2] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5)
[5,2,3,4,1] => [1,4,3,2,5] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5)
[5,2,4,1,3] => [1,4,2,5,3] => [1,5,3,4,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,2,4,3,1] => [1,4,2,3,5] => [1,3,4,2,5] => ([(2,4),(3,4)],5)
[5,3,1,2,4] => [1,3,5,4,2] => [1,5,4,2,3] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,3,1,4,2] => [1,3,5,2,4] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5)
[5,3,2,1,4] => [1,3,4,5,2] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[5,3,2,4,1] => [1,3,4,2,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5)
[5,3,4,1,2] => [1,3,2,5,4] => [1,3,2,5,4] => ([(1,4),(2,3)],5)
[5,3,4,2,1] => [1,3,2,4,5] => [1,3,2,4,5] => ([(3,4)],5)
[5,4,1,2,3] => [1,2,5,4,3] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5)
[5,4,1,3,2] => [1,2,5,3,4] => [1,2,4,5,3] => ([(2,4),(3,4)],5)
[5,4,2,1,3] => [1,2,4,5,3] => [1,2,5,3,4] => ([(2,4),(3,4)],5)
[5,4,2,3,1] => [1,2,4,3,5] => [1,2,4,3,5] => ([(3,4)],5)
[5,4,3,1,2] => [1,2,3,5,4] => [1,2,3,5,4] => ([(3,4)],5)
[5,4,3,2,1] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5)
[1,2,3,4,5,6] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,3,4,6,5] => [6,5,4,3,1,2] => [2,6,5,4,3,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,3,5,4,6] => [6,5,4,2,3,1] => [3,1,6,5,4,2] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,3,5,6,4] => [6,5,4,2,1,3] => [3,6,5,4,2,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,3,6,4,5] => [6,5,4,1,3,2] => [3,2,6,5,4,1] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,3,6,5,4] => [6,5,4,1,2,3] => [2,3,6,5,4,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,4,3,5,6] => [6,5,3,4,2,1] => [4,2,1,6,5,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)
[1,2,4,3,6,5] => [6,5,3,4,1,2] => [2,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)
[1,2,4,5,3,6] => [6,5,3,2,4,1] => [4,1,6,5,3,2] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,4,5,6,3] => [6,5,3,2,1,4] => [4,6,5,3,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,4,6,3,5] => [6,5,3,1,4,2] => [4,2,6,5,3,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,4,6,5,3] => [6,5,3,1,2,4] => [2,4,6,5,3,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,5,3,4,6] => [6,5,2,4,3,1] => [4,3,1,6,5,2] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[1,2,5,3,6,4] => [6,5,2,4,1,3] => [3,4,1,6,5,2] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)
[1,2,5,4,3,6] => [6,5,2,3,4,1] => [4,1,3,6,5,2] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,5,4,6,3] => [6,5,2,3,1,4] => [3,1,4,6,5,2] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[1,2,5,6,3,4] => [6,5,2,1,4,3] => [4,3,6,5,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,5,6,4,3] => [6,5,2,1,3,4] => [3,4,6,5,2,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,6,3,4,5] => [6,5,1,4,3,2] => [4,3,2,6,5,1] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,6,3,5,4] => [6,5,1,4,2,3] => [3,4,2,6,5,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,6,4,3,5] => [6,5,1,3,4,2] => [4,2,3,6,5,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,6,4,5,3] => [6,5,1,3,2,4] => [3,2,4,6,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[1,2,6,5,3,4] => [6,5,1,2,4,3] => [2,4,3,6,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[1,2,6,5,4,3] => [6,5,1,2,3,4] => [2,3,4,6,5,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,2,4,5,6] => [6,4,5,3,2,1] => [5,3,2,1,6,4] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,2,4,6,5] => [6,4,5,3,1,2] => [2,5,3,1,6,4] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,2,5,4,6] => [6,4,5,2,3,1] => [3,1,5,2,6,4] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,3,2,5,6,4] => [6,4,5,2,1,3] => [3,5,2,1,6,4] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)
[1,3,2,6,4,5] => [6,4,5,1,3,2] => [3,2,5,1,6,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)
[1,3,2,6,5,4] => [6,4,5,1,2,3] => [2,3,5,1,6,4] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,3,4,2,5,6] => [6,4,3,5,2,1] => [5,2,1,6,4,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[1,3,4,2,6,5] => [6,4,3,5,1,2] => [2,5,1,6,4,3] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)
[1,3,4,5,2,6] => [6,4,3,2,5,1] => [5,1,6,4,3,2] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,4,5,6,2] => [6,4,3,2,1,5] => [5,6,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,4,6,2,5] => [6,4,3,1,5,2] => [5,2,6,4,3,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,4,6,5,2] => [6,4,3,1,2,5] => [2,5,6,4,3,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,5,2,4,6] => [6,4,2,5,3,1] => [5,3,1,6,4,2] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,5,2,6,4] => [6,4,2,5,1,3] => [3,5,1,6,4,2] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,5,4,2,6] => [6,4,2,3,5,1] => [5,1,3,6,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[1,3,5,4,6,2] => [6,4,2,3,1,5] => [3,1,5,6,4,2] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[1,3,5,6,2,4] => [6,4,2,1,5,3] => [5,3,6,4,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,5,6,4,2] => [6,4,2,1,3,5] => [3,5,6,4,2,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,2,4,5] => [6,4,1,5,3,2] => [5,3,2,6,4,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,2,5,4] => [6,4,1,5,2,3] => [3,5,2,6,4,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[1,3,6,4,2,5] => [6,4,1,3,5,2] => [5,2,3,6,4,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,4,5,2] => [6,4,1,3,2,5] => [3,2,5,6,4,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,5,2,4] => [6,4,1,2,5,3] => [2,5,3,6,4,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,5,4,2] => [6,4,1,2,3,5] => [2,3,5,6,4,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,2,3,5,6] => [6,3,5,4,2,1] => [5,4,2,1,6,3] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,2,3,6,5] => [6,3,5,4,1,2] => [2,5,4,1,6,3] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,4,2,5,3,6] => [6,3,5,2,4,1] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[1,4,2,5,6,3] => [6,3,5,2,1,4] => [4,5,2,1,6,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[1,4,2,6,3,5] => [6,3,5,1,4,2] => [4,2,5,1,6,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[1,4,2,6,5,3] => [6,3,5,1,2,4] => [2,4,5,1,6,3] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[1,4,3,2,5,6] => [6,3,4,5,2,1] => [5,2,1,4,6,3] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,3,2,6,5] => [6,3,4,5,1,2] => [2,5,1,4,6,3] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,3,5,2,6] => [6,3,4,2,5,1] => [5,1,4,2,6,3] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,3,5,6,2] => [6,3,4,2,1,5] => [4,2,1,5,6,3] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[1,4,3,6,2,5] => [6,3,4,1,5,2] => [5,2,4,1,6,3] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[1,4,3,6,5,2] => [6,3,4,1,2,5] => [2,4,1,5,6,3] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,4,5,2,3,6] => [6,3,2,5,4,1] => [5,4,1,6,3,2] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,5,2,6,3] => [6,3,2,5,1,4] => [4,5,1,6,3,2] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,5,3,2,6] => [6,3,2,4,5,1] => [5,1,4,6,3,2] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,5,3,6,2] => [6,3,2,4,1,5] => [4,1,5,6,3,2] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,5,6,2,3] => [6,3,2,1,5,4] => [5,4,6,3,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,5,6,3,2] => [6,3,2,1,4,5] => [4,5,6,3,2,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,2,3,5] => [6,3,1,5,4,2] => [5,4,2,6,3,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,2,5,3] => [6,3,1,5,2,4] => [4,5,2,6,3,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,3,2,5] => [6,3,1,4,5,2] => [5,2,4,6,3,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,3,5,2] => [6,3,1,4,2,5] => [4,2,5,6,3,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,5,2,3] => [6,3,1,2,5,4] => [2,5,4,6,3,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,5,3,2] => [6,3,1,2,4,5] => [2,4,5,6,3,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,2,3,4,6] => [6,2,5,4,3,1] => [5,4,3,1,6,2] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,2,3,6,4] => [6,2,5,4,1,3] => [3,5,4,1,6,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,2,4,3,6] => [6,2,5,3,4,1] => [4,1,5,3,6,2] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,2,4,6,3] => [6,2,5,3,1,4] => [4,5,3,1,6,2] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,2,6,3,4] => [6,2,5,1,4,3] => [4,3,5,1,6,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,2,6,4,3] => [6,2,5,1,3,4] => [3,4,5,1,6,2] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,3,2,4,6] => [6,2,4,5,3,1] => [5,3,1,4,6,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[1,5,3,2,6,4] => [6,2,4,5,1,3] => [3,5,1,4,6,2] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,5,3,4,2,6] => [6,2,4,3,5,1] => [5,1,4,3,6,2] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,3,4,6,2] => [6,2,4,3,1,5] => [4,3,1,5,6,2] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[1,5,3,6,2,4] => [6,2,4,1,5,3] => [5,3,4,1,6,2] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,3,6,4,2] => [6,2,4,1,3,5] => [3,4,1,5,6,2] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,5,4,2,3,6] => [6,2,3,5,4,1] => [5,4,1,3,6,2] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,4,2,6,3] => [6,2,3,5,1,4] => [4,5,1,3,6,2] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[1,5,4,3,2,6] => [6,2,3,4,5,1] => [5,1,3,4,6,2] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,4,3,6,2] => [6,2,3,4,1,5] => [4,1,3,5,6,2] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,5,4,6,2,3] => [6,2,3,1,5,4] => [3,1,5,4,6,2] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[1,5,4,6,3,2] => [6,2,3,1,4,5] => [3,1,4,5,6,2] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[1,5,6,2,3,4] => [6,2,1,5,4,3] => [5,4,3,6,2,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,2,4,3] => [6,2,1,5,3,4] => [4,5,3,6,2,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,3,2,4] => [6,2,1,4,5,3] => [5,3,4,6,2,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,3,4,2] => [6,2,1,4,3,5] => [4,3,5,6,2,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,4,2,3] => [6,2,1,3,5,4] => [3,5,4,6,2,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,4,3,2] => [6,2,1,3,4,5] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,3,4,5] => [6,1,5,4,3,2] => [5,4,3,2,6,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,3,5,4] => [6,1,5,4,2,3] => [3,5,4,2,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,4,3,5] => [6,1,5,3,4,2] => [4,2,5,3,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,4,5,3] => [6,1,5,3,2,4] => [4,5,3,2,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,5,3,4] => [6,1,5,2,4,3] => [4,3,5,2,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,5,4,3] => [6,1,5,2,3,4] => [3,4,5,2,6,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,2,4,5] => [6,1,4,5,3,2] => [5,3,2,4,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,2,5,4] => [6,1,4,5,2,3] => [3,5,2,4,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,4,2,5] => [6,1,4,3,5,2] => [5,2,4,3,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,4,5,2] => [6,1,4,3,2,5] => [4,3,2,5,6,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,5,2,4] => [6,1,4,2,5,3] => [5,3,4,2,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,5,4,2] => [6,1,4,2,3,5] => [3,4,2,5,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,2,3,5] => [6,1,3,5,4,2] => [5,4,2,3,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,2,5,3] => [6,1,3,5,2,4] => [4,5,2,3,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[1,6,4,3,2,5] => [6,1,3,4,5,2] => [5,2,3,4,6,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,3,5,2] => [6,1,3,4,2,5] => [4,2,3,5,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,5,2,3] => [6,1,3,2,5,4] => [3,2,5,4,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[1,6,4,5,3,2] => [6,1,3,2,4,5] => [3,2,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,2,3,4] => [6,1,2,5,4,3] => [2,5,4,3,6,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,2,4,3] => [6,1,2,5,3,4] => [2,4,5,3,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,3,2,4] => [6,1,2,4,5,3] => [2,5,3,4,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,3,4,2] => [6,1,2,4,3,5] => [2,4,3,5,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,4,2,3] => [6,1,2,3,5,4] => [2,3,5,4,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,4,3,2] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[2,1,3,4,5,6] => [5,6,4,3,2,1] => [6,4,3,2,1,5] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,3,4,6,5] => [5,6,4,3,1,2] => [2,6,4,3,1,5] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,3,5,4,6] => [5,6,4,2,3,1] => [3,1,6,4,2,5] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,3,5,6,4] => [5,6,4,2,1,3] => [3,6,4,2,1,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,3,6,4,5] => [5,6,4,1,3,2] => [3,2,6,4,1,5] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,3,6,5,4] => [5,6,4,1,2,3] => [2,3,6,4,1,5] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,1,4,3,5,6] => [5,6,3,4,2,1] => [4,2,1,6,3,5] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)
[2,1,4,3,6,5] => [5,6,3,4,1,2] => [2,4,1,6,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,1,4,5,3,6] => [5,6,3,2,4,1] => [4,1,6,3,2,5] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,4,5,6,3] => [5,6,3,2,1,4] => [4,6,3,2,1,5] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,4,6,3,5] => [5,6,3,1,4,2] => [4,2,6,3,1,5] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[2,1,4,6,5,3] => [5,6,3,1,2,4] => [2,4,6,3,1,5] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,5,3,4,6] => [5,6,2,4,3,1] => [4,3,1,6,2,5] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)
[2,1,5,3,6,4] => [5,6,2,4,1,3] => [3,4,1,6,2,5] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[2,1,5,4,3,6] => [5,6,2,3,4,1] => [4,1,3,6,2,5] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,5,4,6,3] => [5,6,2,3,1,4] => [3,1,4,6,2,5] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,1,5,6,3,4] => [5,6,2,1,4,3] => [4,3,6,2,1,5] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,5,6,4,3] => [5,6,2,1,3,4] => [3,4,6,2,1,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,6,3,4,5] => [5,6,1,4,3,2] => [4,3,2,6,1,5] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,6,3,5,4] => [5,6,1,4,2,3] => [3,4,2,6,1,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[2,1,6,4,3,5] => [5,6,1,3,4,2] => [4,2,3,6,1,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[2,1,6,4,5,3] => [5,6,1,3,2,4] => [3,2,4,6,1,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[2,1,6,5,3,4] => [5,6,1,2,4,3] => [2,4,3,6,1,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[2,1,6,5,4,3] => [5,6,1,2,3,4] => [2,3,4,6,1,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,3,1,4,5,6] => [5,4,6,3,2,1] => [6,3,2,1,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,1,4,6,5] => [5,4,6,3,1,2] => [2,6,3,1,5,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,1,5,4,6] => [5,4,6,2,3,1] => [3,1,6,2,5,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)
[2,3,1,5,6,4] => [5,4,6,2,1,3] => [3,6,2,1,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[2,3,1,6,4,5] => [5,4,6,1,3,2] => [3,2,6,1,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)
[2,3,1,6,5,4] => [5,4,6,1,2,3] => [2,3,6,1,5,4] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[2,3,4,1,5,6] => [5,4,3,6,2,1] => [6,2,1,5,4,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,4,1,6,5] => [5,4,3,6,1,2] => [2,6,1,5,4,3] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,4,5,1,6] => [5,4,3,2,6,1] => [6,1,5,4,3,2] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,4,5,6,1] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,4,6,1,5] => [5,4,3,1,6,2] => [6,2,5,4,3,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,4,6,5,1] => [5,4,3,1,2,6] => [2,5,4,3,1,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,5,1,4,6] => [5,4,2,6,3,1] => [6,3,1,5,4,2] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,5,1,6,4] => [5,4,2,6,1,3] => [3,6,1,5,4,2] => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,5,4,1,6] => [5,4,2,3,6,1] => [6,1,3,5,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,5,4,6,1] => [5,4,2,3,1,6] => [3,1,5,4,2,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[2,3,5,6,1,4] => [5,4,2,1,6,3] => [6,3,5,4,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,5,6,4,1] => [5,4,2,1,3,6] => [3,5,4,2,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,6,1,4,5] => [5,4,1,6,3,2] => [6,3,2,5,4,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,6,1,5,4] => [5,4,1,6,2,3] => [3,6,2,5,4,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,6,4,1,5] => [5,4,1,3,6,2] => [6,2,3,5,4,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,6,4,5,1] => [5,4,1,3,2,6] => [3,2,5,4,1,6] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[2,3,6,5,1,4] => [5,4,1,2,6,3] => [2,6,3,5,4,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,6,5,4,1] => [5,4,1,2,3,6] => [2,3,5,4,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,1,3,5,6] => [5,3,6,4,2,1] => [6,4,2,1,5,3] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,1,3,6,5] => [5,3,6,4,1,2] => [2,6,4,1,5,3] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[2,4,1,5,3,6] => [5,3,6,2,4,1] => [4,1,6,2,5,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,1,5,6,3] => [5,3,6,2,1,4] => [4,6,2,1,5,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[2,4,1,6,3,5] => [5,3,6,1,4,2] => [4,2,6,1,5,3] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)
[2,4,1,6,5,3] => [5,3,6,1,2,4] => [2,4,6,1,5,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,3,1,5,6] => [5,3,4,6,2,1] => [6,2,1,4,5,3] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,1,6,5] => [5,3,4,6,1,2] => [2,6,1,4,5,3] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[2,4,3,5,1,6] => [5,3,4,2,6,1] => [6,1,4,2,5,3] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,5,6,1] => [5,3,4,2,1,6] => [4,2,1,5,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[2,4,3,6,1,5] => [5,3,4,1,6,2] => [6,2,4,1,5,3] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[2,4,3,6,5,1] => [5,3,4,1,2,6] => [2,4,1,5,3,6] => ([(1,5),(2,4),(3,4),(3,5)],6)
[2,4,5,1,3,6] => [5,3,2,6,4,1] => [6,4,1,5,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,5,1,6,3] => [5,3,2,6,1,4] => [4,6,1,5,3,2] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[2,4,5,3,1,6] => [5,3,2,4,6,1] => [6,1,4,5,3,2] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,5,3,6,1] => [5,3,2,4,1,6] => [4,1,5,3,2,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[2,4,5,6,1,3] => [5,3,2,1,6,4] => [6,4,5,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,5,6,3,1] => [5,3,2,1,4,6] => [4,5,3,2,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,1,3,5] => [5,3,1,6,4,2] => [6,4,2,5,3,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,1,5,3] => [5,3,1,6,2,4] => [4,6,2,5,3,1] => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,3,1,5] => [5,3,1,4,6,2] => [6,2,4,5,3,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,3,5,1] => [5,3,1,4,2,6] => [4,2,5,3,1,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,5,1,3] => [5,3,1,2,6,4] => [2,6,4,5,3,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,5,3,1] => [5,3,1,2,4,6] => [2,4,5,3,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,1,3,4,6] => [5,2,6,4,3,1] => [6,4,3,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,1,3,6,4] => [5,2,6,4,1,3] => [3,6,4,1,5,2] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,1,4,3,6] => [5,2,6,3,4,1] => [4,1,6,3,5,2] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[2,5,1,4,6,3] => [5,2,6,3,1,4] => [4,6,3,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[2,5,1,6,3,4] => [5,2,6,1,4,3] => [4,3,6,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[2,5,1,6,4,3] => [5,2,6,1,3,4] => [3,4,6,1,5,2] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)
[2,5,3,1,4,6] => [5,2,4,6,3,1] => [6,3,1,4,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,3,1,6,4] => [5,2,4,6,1,3] => [3,6,1,4,5,2] => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,3,4,1,6] => [5,2,4,3,6,1] => [6,1,4,3,5,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,3,4,6,1] => [5,2,4,3,1,6] => [4,3,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[2,5,3,6,1,4] => [5,2,4,1,6,3] => [6,3,4,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,3,6,4,1] => [5,2,4,1,3,6] => [3,4,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,5,4,1,3,6] => [5,2,3,6,4,1] => [6,4,1,3,5,2] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,4,1,6,3] => [5,2,3,6,1,4] => [4,6,1,3,5,2] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,4,3,1,6] => [5,2,3,4,6,1] => [6,1,3,4,5,2] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,4,3,6,1] => [5,2,3,4,1,6] => [4,1,3,5,2,6] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,5,4,6,1,3] => [5,2,3,1,6,4] => [3,1,6,4,5,2] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[2,5,4,6,3,1] => [5,2,3,1,4,6] => [3,1,4,5,2,6] => ([(1,5),(2,5),(3,4),(4,5)],6)
[2,5,6,1,3,4] => [5,2,1,6,4,3] => [6,4,3,5,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,6,1,4,3] => [5,2,1,6,3,4] => [4,6,3,5,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,6,3,1,4] => [5,2,1,4,6,3] => [6,3,4,5,2,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,6,3,4,1] => [5,2,1,4,3,6] => [4,3,5,2,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,6,4,1,3] => [5,2,1,3,6,4] => [3,6,4,5,2,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,6,4,3,1] => [5,2,1,3,4,6] => [3,4,5,2,1,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,1,3,4,5] => [5,1,6,4,3,2] => [6,4,3,2,5,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,1,3,5,4] => [5,1,6,4,2,3] => [3,6,4,2,5,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,1,4,3,5] => [5,1,6,3,4,2] => [4,2,6,3,5,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[2,6,1,4,5,3] => [5,1,6,3,2,4] => [4,6,3,2,5,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,1,5,3,4] => [5,1,6,2,4,3] => [4,3,6,2,5,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,1,5,4,3] => [5,1,6,2,3,4] => [3,4,6,2,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,3,1,4,5] => [5,1,4,6,3,2] => [6,3,2,4,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,3,1,5,4] => [5,1,4,6,2,3] => [3,6,2,4,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,3,4,1,5] => [5,1,4,3,6,2] => [6,2,4,3,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,3,4,5,1] => [5,1,4,3,2,6] => [4,3,2,5,1,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,3,5,1,4] => [5,1,4,2,6,3] => [6,3,4,2,5,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,3,5,4,1] => [5,1,4,2,3,6] => [3,4,2,5,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,1,3,5] => [5,1,3,6,4,2] => [6,4,2,3,5,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,1,5,3] => [5,1,3,6,2,4] => [4,6,2,3,5,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,3,1,5] => [5,1,3,4,6,2] => [6,2,3,4,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,3,5,1] => [5,1,3,4,2,6] => [4,2,3,5,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,5,1,3] => [5,1,3,2,6,4] => [3,2,6,4,5,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,5,3,1] => [5,1,3,2,4,6] => [3,2,4,5,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,1,3,4] => [5,1,2,6,4,3] => [2,6,4,3,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,1,4,3] => [5,1,2,6,3,4] => [2,4,6,3,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,3,1,4] => [5,1,2,4,6,3] => [2,6,3,4,5,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,3,4,1] => [5,1,2,4,3,6] => [2,4,3,5,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,4,1,3] => [5,1,2,3,6,4] => [2,3,6,4,5,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,4,3,1] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6)
[3,1,2,4,5,6] => [4,6,5,3,2,1] => [6,5,3,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,2,4,6,5] => [4,6,5,3,1,2] => [2,6,5,3,1,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,2,5,4,6] => [4,6,5,2,3,1] => [3,1,6,5,2,4] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)
[3,1,2,5,6,4] => [4,6,5,2,1,3] => [3,6,5,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,2,6,4,5] => [4,6,5,1,3,2] => [3,2,6,5,1,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[3,1,2,6,5,4] => [4,6,5,1,2,3] => [2,3,6,5,1,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[3,1,4,2,5,6] => [4,6,3,5,2,1] => [5,2,1,6,3,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)
[3,1,4,2,6,5] => [4,6,3,5,1,2] => [2,5,1,6,3,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[3,1,4,5,2,6] => [4,6,3,2,5,1] => [5,1,6,3,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,4,5,6,2] => [4,6,3,2,1,5] => [5,6,3,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,4,6,2,5] => [4,6,3,1,5,2] => [5,2,6,3,1,4] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,4,6,5,2] => [4,6,3,1,2,5] => [2,5,6,3,1,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,1,5,2,4,6] => [4,6,2,5,3,1] => [5,3,1,6,2,4] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,5,2,6,4] => [4,6,2,5,1,3] => [3,5,1,6,2,4] => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
[3,1,5,4,2,6] => [4,6,2,3,5,1] => [5,1,3,6,2,4] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[3,1,5,4,6,2] => [4,6,2,3,1,5] => [3,1,5,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[3,1,5,6,2,4] => [4,6,2,1,5,3] => [5,3,6,2,1,4] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[3,1,5,6,4,2] => [4,6,2,1,3,5] => [3,5,6,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,6,2,4,5] => [4,6,1,5,3,2] => [5,3,2,6,1,4] => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,6,2,5,4] => [4,6,1,5,2,3] => [3,5,2,6,1,4] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,6,4,2,5] => [4,6,1,3,5,2] => [5,2,3,6,1,4] => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,6,4,5,2] => [4,6,1,3,2,5] => [3,2,5,6,1,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)
[3,1,6,5,2,4] => [4,6,1,2,5,3] => [2,5,3,6,1,4] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[3,1,6,5,4,2] => [4,6,1,2,3,5] => [2,3,5,6,1,4] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,2,1,4,5,6] => [4,5,6,3,2,1] => [6,3,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,1,4,6,5] => [4,5,6,3,1,2] => [2,6,3,1,4,5] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[3,2,1,5,4,6] => [4,5,6,2,3,1] => [3,1,6,2,4,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,2,1,5,6,4] => [4,5,6,2,1,3] => [3,6,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[3,2,1,6,4,5] => [4,5,6,1,3,2] => [3,2,6,1,4,5] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[3,2,1,6,5,4] => [4,5,6,1,2,3] => [2,3,6,1,4,5] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[3,2,4,1,5,6] => [4,5,3,6,2,1] => [6,2,1,5,3,4] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,1,6,5] => [4,5,3,6,1,2] => [2,6,1,5,3,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[3,2,4,5,1,6] => [4,5,3,2,6,1] => [6,1,5,3,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,5,6,1] => [4,5,3,2,1,6] => [5,3,2,1,4,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,6,1,5] => [4,5,3,1,6,2] => [6,2,5,3,1,4] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,6,5,1] => [4,5,3,1,2,6] => [2,5,3,1,4,6] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[3,2,5,1,4,6] => [4,5,2,6,3,1] => [6,3,1,5,2,4] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,2,5,1,6,4] => [4,5,2,6,1,3] => [3,6,1,5,2,4] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,5,4,1,6] => [4,5,2,3,6,1] => [6,1,3,5,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,5,4,6,1] => [4,5,2,3,1,6] => [3,1,5,2,4,6] => ([(1,5),(2,4),(3,4),(3,5)],6)
[3,2,5,6,1,4] => [4,5,2,1,6,3] => [6,3,5,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,5,6,4,1] => [4,5,2,1,3,6] => [3,5,2,1,4,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[3,2,6,1,4,5] => [4,5,1,6,3,2] => [6,3,2,5,1,4] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,6,1,5,4] => [4,5,1,6,2,3] => [3,6,2,5,1,4] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,6,4,1,5] => [4,5,1,3,6,2] => [6,2,3,5,1,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,6,4,5,1] => [4,5,1,3,2,6] => [3,2,5,1,4,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[3,2,6,5,1,4] => [4,5,1,2,6,3] => [2,6,3,5,1,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[3,2,6,5,4,1] => [4,5,1,2,3,6] => [2,3,5,1,4,6] => ([(1,5),(2,5),(3,4),(4,5)],6)
[3,4,1,2,5,6] => [4,3,6,5,2,1] => [6,5,2,1,4,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,1,2,6,5] => [4,3,6,5,1,2] => [2,6,5,1,4,3] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,1,5,2,6] => [4,3,6,2,5,1] => [5,1,6,2,4,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,1,5,6,2] => [4,3,6,2,1,5] => [5,6,2,1,4,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,1,6,2,5] => [4,3,6,1,5,2] => [5,2,6,1,4,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[3,4,1,6,5,2] => [4,3,6,1,2,5] => [2,5,6,1,4,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,4,2,1,5,6] => [4,3,5,6,2,1] => [6,2,1,4,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[3,4,2,1,6,5] => [4,3,5,6,1,2] => [2,6,1,4,3,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[3,4,2,5,1,6] => [4,3,5,2,6,1] => [6,1,5,2,4,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,2,5,6,1] => [4,3,5,2,1,6] => [5,2,1,4,3,6] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[3,4,2,6,1,5] => [4,3,5,1,6,2] => [6,2,5,1,4,3] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,2,6,5,1] => [4,3,5,1,2,6] => [2,5,1,4,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[3,4,5,1,2,6] => [4,3,2,6,5,1] => [6,5,1,4,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,5,1,6,2] => [4,3,2,6,1,5] => [5,6,1,4,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,5,2,1,6] => [4,3,2,5,6,1] => [6,1,4,3,2,5] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,5,2,6,1] => [4,3,2,5,1,6] => [5,1,4,3,2,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,5,6,1,2] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,5,6,2,1] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,6,1,2,5] => [4,3,1,6,5,2] => [6,5,2,4,3,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,6,1,5,2] => [4,3,1,6,2,5] => [5,6,2,4,3,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,4,6,2,1,5] => [4,3,1,5,6,2] => [6,2,4,3,1,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,6,2,5,1] => [4,3,1,5,2,6] => [5,2,4,3,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,6,5,1,2] => [4,3,1,2,6,5] => [2,4,3,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,6,5,2,1] => [4,3,1,2,5,6] => [2,4,3,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[3,5,1,2,4,6] => [4,2,6,5,3,1] => [6,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,1,2,6,4] => [4,2,6,5,1,3] => [3,6,5,1,4,2] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[3,5,1,4,2,6] => [4,2,6,3,5,1] => [5,1,6,3,4,2] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,1,4,6,2] => [4,2,6,3,1,5] => [5,6,3,1,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,5,1,6,2,4] => [4,2,6,1,5,3] => [5,3,6,1,4,2] => ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,1,6,4,2] => [4,2,6,1,3,5] => [3,5,6,1,4,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,5,2,1,4,6] => [4,2,5,6,3,1] => [6,3,1,4,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,1,6,4] => [4,2,5,6,1,3] => [3,6,1,4,2,5] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[3,5,2,4,1,6] => [4,2,5,3,6,1] => [6,1,5,3,4,2] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,4,6,1] => [4,2,5,3,1,6] => [5,3,1,4,2,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,6,1,4] => [4,2,5,1,6,3] => [6,3,5,1,4,2] => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,6,4,1] => [4,2,5,1,3,6] => [3,5,1,4,2,6] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[3,5,4,1,2,6] => [4,2,3,6,5,1] => [6,5,1,3,4,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,1,6,2] => [4,2,3,6,1,5] => [5,6,1,3,4,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,5,4,2,1,6] => [4,2,3,5,6,1] => [6,1,3,4,2,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,2,6,1] => [4,2,3,5,1,6] => [5,1,3,4,2,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,6,1,2] => [4,2,3,1,6,5] => [3,1,4,2,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6)
[3,5,4,6,2,1] => [4,2,3,1,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6)
[3,5,6,1,2,4] => [4,2,1,6,5,3] => [6,5,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,6,1,4,2] => [4,2,1,6,3,5] => [5,6,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,6,2,1,4] => [4,2,1,5,6,3] => [6,3,4,2,1,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,6,2,4,1] => [4,2,1,5,3,6] => [5,3,4,2,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,6,4,1,2] => [4,2,1,3,6,5] => [3,4,2,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,6,4,2,1] => [4,2,1,3,5,6] => [3,4,2,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,1,2,4,5] => [4,1,6,5,3,2] => [6,5,3,2,4,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,1,2,5,4] => [4,1,6,5,2,3] => [3,6,5,2,4,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,1,4,2,5] => [4,1,6,3,5,2] => [5,2,6,3,4,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,1,4,5,2] => [4,1,6,3,2,5] => [5,6,3,2,4,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,6,1,5,2,4] => [4,1,6,2,5,3] => [5,3,6,2,4,1] => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,1,5,4,2] => [4,1,6,2,3,5] => [3,5,6,2,4,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,2,1,4,5] => [4,1,5,6,3,2] => [6,3,2,4,1,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,2,1,5,4] => [4,1,5,6,2,3] => [3,6,2,4,1,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[3,6,2,4,1,5] => [4,1,5,3,6,2] => [6,2,5,3,4,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,2,4,5,1] => [4,1,5,3,2,6] => [5,3,2,4,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,2,5,1,4] => [4,1,5,2,6,3] => [6,3,5,2,4,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,2,5,4,1] => [4,1,5,2,3,6] => [3,5,2,4,1,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,4,1,2,5] => [4,1,3,6,5,2] => [6,5,2,3,4,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,4,1,5,2] => [4,1,3,6,2,5] => [5,6,2,3,4,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,6,4,2,1,5] => [4,1,3,5,6,2] => [6,2,3,4,1,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,4,2,5,1] => [4,1,3,5,2,6] => [5,2,3,4,1,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,4,5,1,2] => [4,1,3,2,6,5] => [3,2,4,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,4,5,2,1] => [4,1,3,2,5,6] => [3,2,4,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[3,6,5,1,2,4] => [4,1,2,6,5,3] => [2,6,5,3,4,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,5,1,4,2] => [4,1,2,6,3,5] => [2,5,6,3,4,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,6,5,2,1,4] => [4,1,2,5,6,3] => [2,6,3,4,1,5] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,5,2,4,1] => [4,1,2,5,3,6] => [2,5,3,4,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,5,4,1,2] => [4,1,2,3,6,5] => [2,3,4,1,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6)
[3,6,5,4,2,1] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => ([(2,5),(3,5),(4,5)],6)
[4,1,2,3,5,6] => [3,6,5,4,2,1] => [6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,2,3,6,5] => [3,6,5,4,1,2] => [2,6,5,4,1,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,2,5,3,6] => [3,6,5,2,4,1] => [4,1,6,5,2,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,2,5,6,3] => [3,6,5,2,1,4] => [4,6,5,2,1,3] => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,2,6,3,5] => [3,6,5,1,4,2] => [4,2,6,5,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[4,1,2,6,5,3] => [3,6,5,1,2,4] => [2,4,6,5,1,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,1,3,2,5,6] => [3,6,4,5,2,1] => [5,2,1,3,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[4,1,3,2,6,5] => [3,6,4,5,1,2] => [2,5,1,3,6,4] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[4,1,3,5,2,6] => [3,6,4,2,5,1] => [5,1,6,4,2,3] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,3,5,6,2] => [3,6,4,2,1,5] => [5,6,4,2,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,1,3,6,2,5] => [3,6,4,1,5,2] => [5,2,6,4,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[4,1,3,6,5,2] => [3,6,4,1,2,5] => [2,5,6,4,1,3] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,5,2,3,6] => [3,6,2,5,4,1] => [5,4,1,6,2,3] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,5,2,6,3] => [3,6,2,5,1,4] => [4,5,1,6,2,3] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,1,5,3,2,6] => [3,6,2,4,5,1] => [5,1,4,6,2,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,1,5,3,6,2] => [3,6,2,4,1,5] => [4,1,5,6,2,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,5,6,2,3] => [3,6,2,1,5,4] => [5,4,6,2,1,3] => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,5,6,3,2] => [3,6,2,1,4,5] => [4,5,6,2,1,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,6,2,3,5] => [3,6,1,5,4,2] => [5,4,2,6,1,3] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[4,1,6,2,5,3] => [3,6,1,5,2,4] => [4,5,2,6,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,1,6,3,2,5] => [3,6,1,4,5,2] => [5,2,4,6,1,3] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,6,3,5,2] => [3,6,1,4,2,5] => [4,2,5,6,1,3] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)
[4,1,6,5,2,3] => [3,6,1,2,5,4] => [2,5,4,6,1,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,1,6,5,3,2] => [3,6,1,2,4,5] => [2,4,5,6,1,3] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,1,3,5,6] => [3,5,6,4,2,1] => [6,4,2,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,1,3,6,5] => [3,5,6,4,1,2] => [2,6,4,1,3,5] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,1,5,3,6] => [3,5,6,2,4,1] => [4,1,6,2,3,5] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,1,5,6,3] => [3,5,6,2,1,4] => [4,6,2,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,1,6,3,5] => [3,5,6,1,4,2] => [4,2,6,1,3,5] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,1,6,5,3] => [3,5,6,1,2,4] => [2,4,6,1,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,3,1,5,6] => [3,5,4,6,2,1] => [6,2,1,3,5,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[4,2,3,1,6,5] => [3,5,4,6,1,2] => [2,6,1,3,5,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[4,2,3,5,1,6] => [3,5,4,2,6,1] => [6,1,5,4,2,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,3,5,6,1] => [3,5,4,2,1,6] => [5,4,2,1,3,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,3,6,1,5] => [3,5,4,1,6,2] => [6,2,5,4,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,3,6,5,1] => [3,5,4,1,2,6] => [2,5,4,1,3,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[4,2,5,1,3,6] => [3,5,2,6,4,1] => [6,4,1,5,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,5,1,6,3] => [3,5,2,6,1,4] => [4,6,1,5,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,5,3,1,6] => [3,5,2,4,6,1] => [6,1,4,5,2,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,2,5,3,6,1] => [3,5,2,4,1,6] => [4,1,5,2,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,5,6,1,3] => [3,5,2,1,6,4] => [6,4,5,2,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,2,5,6,3,1] => [3,5,2,1,4,6] => [4,5,2,1,3,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,6,1,3,5] => [3,5,1,6,4,2] => [6,4,2,5,1,3] => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,6,1,5,3] => [3,5,1,6,2,4] => [4,6,2,5,1,3] => ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,6,3,1,5] => [3,5,1,4,6,2] => [6,2,4,5,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,6,3,5,1] => [3,5,1,4,2,6] => [4,2,5,1,3,6] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[4,2,6,5,1,3] => [3,5,1,2,6,4] => [2,6,4,5,1,3] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,6,5,3,1] => [3,5,1,2,4,6] => [2,4,5,1,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,1,2,5,6] => [3,4,6,5,2,1] => [6,5,2,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,1,2,6,5] => [3,4,6,5,1,2] => [2,6,5,1,3,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,1,5,2,6] => [3,4,6,2,5,1] => [5,1,6,2,3,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,1,5,6,2] => [3,4,6,2,1,5] => [5,6,2,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,1,6,2,5] => [3,4,6,1,5,2] => [5,2,6,1,3,4] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)
[4,3,1,6,5,2] => [3,4,6,1,2,5] => [2,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,2,1,5,6] => [3,4,5,6,2,1] => [6,2,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,1,6,5] => [3,4,5,6,1,2] => [2,6,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[4,3,2,5,1,6] => [3,4,5,2,6,1] => [6,1,5,2,3,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,5,6,1] => [3,4,5,2,1,6] => [5,2,1,3,4,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,6,1,5] => [3,4,5,1,6,2] => [6,2,5,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,6,5,1] => [3,4,5,1,2,6] => [2,5,1,3,4,6] => ([(1,5),(2,5),(3,4),(4,5)],6)
[4,3,5,1,2,6] => [3,4,2,6,5,1] => [6,5,1,4,2,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,1,6,2] => [3,4,2,6,1,5] => [5,6,1,4,2,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,5,2,1,6] => [3,4,2,5,6,1] => [6,1,4,2,3,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,2,6,1] => [3,4,2,5,1,6] => [5,1,4,2,3,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,6,1,2] => [3,4,2,1,6,5] => [4,2,1,3,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,6,2,1] => [3,4,2,1,5,6] => [4,2,1,3,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[4,3,6,1,2,5] => [3,4,1,6,5,2] => [6,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,6,1,5,2] => [3,4,1,6,2,5] => [5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,6,2,1,5] => [3,4,1,5,6,2] => [6,2,4,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,6,2,5,1] => [3,4,1,5,2,6] => [5,2,4,1,3,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,6,5,1,2] => [3,4,1,2,6,5] => [2,4,1,3,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6)
[4,3,6,5,2,1] => [3,4,1,2,5,6] => [2,4,1,3,5,6] => ([(2,5),(3,4),(4,5)],6)
[4,5,1,2,3,6] => [3,2,6,5,4,1] => [6,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,1,2,6,3] => [3,2,6,5,1,4] => [4,6,5,1,3,2] => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,1,3,2,6] => [3,2,6,4,5,1] => [5,1,3,2,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[4,5,1,3,6,2] => [3,2,6,4,1,5] => [5,6,4,1,3,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,5,1,6,2,3] => [3,2,6,1,5,4] => [5,4,6,1,3,2] => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,1,6,3,2] => [3,2,6,1,4,5] => [4,5,6,1,3,2] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,2,1,3,6] => [3,2,5,6,4,1] => [6,4,1,3,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,2,1,6,3] => [3,2,5,6,1,4] => [4,6,1,3,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,5,2,3,1,6] => [3,2,5,4,6,1] => [6,1,3,2,5,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[4,5,2,3,6,1] => [3,2,5,4,1,6] => [5,4,1,3,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,2,6,1,3] => [3,2,5,1,6,4] => [6,4,5,1,3,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,5,2,6,3,1] => [3,2,5,1,4,6] => [4,5,1,3,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,5,3,1,2,6] => [3,2,4,6,5,1] => [6,5,1,3,2,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,3,1,6,2] => [3,2,4,6,1,5] => [5,6,1,3,2,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,5,3,2,1,6] => [3,2,4,5,6,1] => [6,1,3,2,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,3,2,6,1] => [3,2,4,5,1,6] => [5,1,3,2,4,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,3,6,1,2] => [3,2,4,1,6,5] => [4,1,3,2,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,3,6,2,1] => [3,2,4,1,5,6] => [4,1,3,2,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[4,5,6,1,2,3] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)
[4,5,6,1,3,2] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)
[4,5,6,2,1,3] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)
[4,5,6,2,3,1] => [3,2,1,5,4,6] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6)
[4,5,6,3,1,2] => [3,2,1,4,6,5] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6)
[4,5,6,3,2,1] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6)
[4,6,1,2,3,5] => [3,1,6,5,4,2] => [6,5,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,1,2,5,3] => [3,1,6,5,2,4] => [4,6,5,2,3,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,6,1,3,2,5] => [3,1,6,4,5,2] => [5,2,3,1,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[4,6,1,3,5,2] => [3,1,6,4,2,5] => [5,6,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,1,5,2,3] => [3,1,6,2,5,4] => [5,4,6,2,3,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,6,1,5,3,2] => [3,1,6,2,4,5] => [4,5,6,2,3,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,6,2,1,3,5] => [3,1,5,6,4,2] => [6,4,2,3,1,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,2,1,5,3] => [3,1,5,6,2,4] => [4,6,2,3,1,5] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,2,3,1,5] => [3,1,5,4,6,2] => [6,2,3,1,5,4] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,2,3,5,1] => [3,1,5,4,2,6] => [5,4,2,3,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,2,5,1,3] => [3,1,5,2,6,4] => [6,4,5,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,2,5,3,1] => [3,1,5,2,4,6] => [4,5,2,3,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,6,3,1,2,5] => [3,1,4,6,5,2] => [6,5,2,3,1,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,3,1,5,2] => [3,1,4,6,2,5] => [5,6,2,3,1,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,6,3,2,1,5] => [3,1,4,5,6,2] => [6,2,3,1,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,3,2,5,1] => [3,1,4,5,2,6] => [5,2,3,1,4,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,3,5,1,2] => [3,1,4,2,6,5] => [4,2,3,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,3,5,2,1] => [3,1,4,2,5,6] => [4,2,3,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,5,1,2,3] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)
[4,6,5,1,3,2] => [3,1,2,6,4,5] => [2,3,1,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6)
[4,6,5,2,1,3] => [3,1,2,5,6,4] => [2,3,1,6,4,5] => ([(0,5),(1,5),(2,4),(3,4)],6)
[4,6,5,2,3,1] => [3,1,2,5,4,6] => [2,3,1,5,4,6] => ([(1,2),(3,5),(4,5)],6)
[4,6,5,3,1,2] => [3,1,2,4,6,5] => [2,3,1,4,6,5] => ([(1,2),(3,5),(4,5)],6)
[4,6,5,3,2,1] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => ([(3,5),(4,5)],6)
[5,1,2,3,4,6] => [2,6,5,4,3,1] => [6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,2,3,6,4] => [2,6,5,4,1,3] => [3,6,5,4,1,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,1,2,4,3,6] => [2,6,5,3,4,1] => [4,1,2,6,5,3] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[5,1,2,4,6,3] => [2,6,5,3,1,4] => [4,6,5,3,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,1,2,6,3,4] => [2,6,5,1,4,3] => [4,3,6,5,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,1,2,6,4,3] => [2,6,5,1,3,4] => [3,4,6,5,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,1,3,2,4,6] => [2,6,4,5,3,1] => [5,3,1,2,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[5,1,3,2,6,4] => [2,6,4,5,1,3] => [3,5,1,2,6,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[5,1,3,4,2,6] => [2,6,4,3,5,1] => [5,1,2,6,4,3] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[5,1,3,4,6,2] => [2,6,4,3,1,5] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,3,6,2,4] => [2,6,4,1,5,3] => [5,3,6,4,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,1,3,6,4,2] => [2,6,4,1,3,5] => [3,5,6,4,1,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,1,4,2,3,6] => [2,6,3,5,4,1] => [5,4,1,2,6,3] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,4,2,6,3] => [2,6,3,5,1,4] => [4,5,1,2,6,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,1,4,3,2,6] => [2,6,3,4,5,1] => [5,1,2,4,6,3] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[5,1,4,3,6,2] => [2,6,3,4,1,5] => [4,1,2,5,6,3] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[5,1,4,6,2,3] => [2,6,3,1,5,4] => [5,4,6,3,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,1,4,6,3,2] => [2,6,3,1,4,5] => [4,5,6,3,1,2] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,1,6,2,3,4] => [2,6,1,5,4,3] => [5,4,3,6,1,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,1,6,2,4,3] => [2,6,1,5,3,4] => [4,5,3,6,1,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,1,6,3,2,4] => [2,6,1,4,5,3] => [5,3,4,6,1,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,1,6,3,4,2] => [2,6,1,4,3,5] => [4,3,5,6,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,1,6,4,2,3] => [2,6,1,3,5,4] => [3,5,4,6,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,1,6,4,3,2] => [2,6,1,3,4,5] => [3,4,5,6,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,2,1,3,4,6] => [2,5,6,4,3,1] => [6,4,3,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,1,3,6,4] => [2,5,6,4,1,3] => [3,6,4,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,2,1,4,3,6] => [2,5,6,3,4,1] => [4,1,2,6,3,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,2,1,4,6,3] => [2,5,6,3,1,4] => [4,6,3,1,2,5] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,1,6,3,4] => [2,5,6,1,4,3] => [4,3,6,1,2,5] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,1,6,4,3] => [2,5,6,1,3,4] => [3,4,6,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,3,1,4,6] => [2,5,4,6,3,1] => [6,3,1,2,5,4] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,3,1,6,4] => [2,5,4,6,1,3] => [3,6,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)
[5,2,3,4,1,6] => [2,5,4,3,6,1] => [6,1,2,5,4,3] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,3,4,6,1] => [2,5,4,3,1,6] => [5,4,3,1,2,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,3,6,1,4] => [2,5,4,1,6,3] => [6,3,5,4,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,2,3,6,4,1] => [2,5,4,1,3,6] => [3,5,4,1,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,2,4,1,3,6] => [2,5,3,6,4,1] => [6,4,1,2,5,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,4,1,6,3] => [2,5,3,6,1,4] => [4,6,1,2,5,3] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)
[5,2,4,3,1,6] => [2,5,3,4,6,1] => [6,1,2,4,5,3] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,4,3,6,1] => [2,5,3,4,1,6] => [4,1,2,5,3,6] => ([(1,5),(2,5),(3,4),(4,5)],6)
[5,2,4,6,1,3] => [2,5,3,1,6,4] => [6,4,5,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,4,6,3,1] => [2,5,3,1,4,6] => [4,5,3,1,2,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,2,6,1,3,4] => [2,5,1,6,4,3] => [6,4,3,5,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,2,6,1,4,3] => [2,5,1,6,3,4] => [4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,2,6,3,1,4] => [2,5,1,4,6,3] => [6,3,4,5,1,2] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,2,6,3,4,1] => [2,5,1,4,3,6] => [4,3,5,1,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,2,6,4,1,3] => [2,5,1,3,6,4] => [3,6,4,5,1,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,2,6,4,3,1] => [2,5,1,3,4,6] => [3,4,5,1,2,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,1,2,4,6] => [2,4,6,5,3,1] => [6,5,3,1,2,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,1,2,6,4] => [2,4,6,5,1,3] => [3,6,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,1,4,2,6] => [2,4,6,3,5,1] => [5,1,2,6,3,4] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,3,1,4,6,2] => [2,4,6,3,1,5] => [5,6,3,1,2,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,1,6,2,4] => [2,4,6,1,5,3] => [5,3,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,1,6,4,2] => [2,4,6,1,3,5] => [3,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,2,1,4,6] => [2,4,5,6,3,1] => [6,3,1,2,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,1,6,4] => [2,4,5,6,1,3] => [3,6,1,2,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,3,2,4,1,6] => [2,4,5,3,6,1] => [6,1,2,5,3,4] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,4,6,1] => [2,4,5,3,1,6] => [5,3,1,2,4,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,6,1,4] => [2,4,5,1,6,3] => [6,3,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,6,4,1] => [2,4,5,1,3,6] => [3,5,1,2,4,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,3,4,1,2,6] => [2,4,3,6,5,1] => [6,5,1,2,4,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,4,1,6,2] => [2,4,3,6,1,5] => [5,6,1,2,4,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,4,2,1,6] => [2,4,3,5,6,1] => [6,1,2,4,3,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,4,2,6,1] => [2,4,3,5,1,6] => [5,1,2,4,3,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,4,6,1,2] => [2,4,3,1,6,5] => [4,3,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,4,6,2,1] => [2,4,3,1,5,6] => [4,3,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,6,1,2,4] => [2,4,1,6,5,3] => [6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,6,1,4,2] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,6,2,1,4] => [2,4,1,5,6,3] => [6,3,4,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,3,6,2,4,1] => [2,4,1,5,3,6] => [5,3,4,1,2,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,3,6,4,1,2] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,6,4,2,1] => [2,4,1,3,5,6] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[5,4,1,2,3,6] => [2,3,6,5,4,1] => [6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,1,2,6,3] => [2,3,6,5,1,4] => [4,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,1,3,2,6] => [2,3,6,4,5,1] => [5,1,2,3,6,4] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[5,4,1,3,6,2] => [2,3,6,4,1,5] => [5,6,4,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,4,1,6,2,3] => [2,3,6,1,5,4] => [5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,1,6,3,2] => [2,3,6,1,4,5] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[5,4,2,1,3,6] => [2,3,5,6,4,1] => [6,4,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,2,1,6,3] => [2,3,5,6,1,4] => [4,6,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,4,2,3,1,6] => [2,3,5,4,6,1] => [6,1,2,3,5,4] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,2,3,6,1] => [2,3,5,4,1,6] => [5,4,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,2,6,1,3] => [2,3,5,1,6,4] => [6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,4,2,6,3,1] => [2,3,5,1,4,6] => [4,5,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,4,3,1,2,6] => [2,3,4,6,5,1] => [6,5,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,3,1,6,2] => [2,3,4,6,1,5] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,4,3,2,1,6] => [2,3,4,5,6,1] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[5,4,3,2,6,1] => [2,3,4,5,1,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,4,3,6,1,2] => [2,3,4,1,6,5] => [4,1,2,3,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6)
[5,4,3,6,2,1] => [2,3,4,1,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6)
[5,4,6,1,2,3] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)
[5,4,6,1,3,2] => [2,3,1,6,4,5] => [3,1,2,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6)
[5,4,6,2,1,3] => [2,3,1,5,6,4] => [3,1,2,6,4,5] => ([(0,5),(1,5),(2,4),(3,4)],6)
[5,4,6,2,3,1] => [2,3,1,5,4,6] => [3,1,2,5,4,6] => ([(1,2),(3,5),(4,5)],6)
[5,4,6,3,1,2] => [2,3,1,4,6,5] => [3,1,2,4,6,5] => ([(1,2),(3,5),(4,5)],6)
[5,4,6,3,2,1] => [2,3,1,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6)
[5,6,1,2,3,4] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,6,1,2,4,3] => [2,1,6,5,3,4] => [2,1,4,6,5,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[5,6,1,3,2,4] => [2,1,6,4,5,3] => [2,1,5,3,6,4] => ([(0,1),(2,5),(3,4),(4,5)],6)
[5,6,1,3,4,2] => [2,1,6,4,3,5] => [2,1,5,6,4,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,6,1,4,2,3] => [2,1,6,3,5,4] => [2,1,5,4,6,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[5,6,1,4,3,2] => [2,1,6,3,4,5] => [2,1,4,5,6,3] => ([(0,1),(2,5),(3,5),(4,5)],6)
[5,6,2,1,3,4] => [2,1,5,6,4,3] => [2,1,6,4,3,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[5,6,2,1,4,3] => [2,1,5,6,3,4] => [2,1,4,6,3,5] => ([(0,1),(2,5),(3,4),(4,5)],6)
[5,6,2,3,1,4] => [2,1,5,4,6,3] => [2,1,6,3,5,4] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[5,6,2,3,4,1] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6)
[5,6,2,4,1,3] => [2,1,5,3,6,4] => [2,1,6,4,5,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,6,2,4,3,1] => [2,1,5,3,4,6] => [2,1,4,5,3,6] => ([(1,2),(3,5),(4,5)],6)
[5,6,3,1,2,4] => [2,1,4,6,5,3] => [2,1,6,5,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,6,3,1,4,2] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,3,2,1,4] => [2,1,4,5,6,3] => [2,1,6,3,4,5] => ([(0,1),(2,5),(3,5),(4,5)],6)
[5,6,3,2,4,1] => [2,1,4,5,3,6] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6)
[5,6,3,4,1,2] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6)
[5,6,3,4,2,1] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => ([(2,5),(3,4)],6)
[5,6,4,1,2,3] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6)
[5,6,4,1,3,2] => [2,1,3,6,4,5] => [2,1,3,5,6,4] => ([(1,2),(3,5),(4,5)],6)
[5,6,4,2,1,3] => [2,1,3,5,6,4] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[5,6,4,2,3,1] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6)
[5,6,4,3,1,2] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6)
[5,6,4,3,2,1] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(4,5)],6)
[6,1,2,3,4,5] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,2,3,5,4] => [1,6,5,4,2,3] => [1,3,6,5,4,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,2,4,3,5] => [1,6,5,3,4,2] => [1,4,2,6,5,3] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[6,1,2,4,5,3] => [1,6,5,3,2,4] => [1,4,6,5,3,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,2,5,3,4] => [1,6,5,2,4,3] => [1,4,3,6,5,2] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[6,1,2,5,4,3] => [1,6,5,2,3,4] => [1,3,4,6,5,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,2,4,5] => [1,6,4,5,3,2] => [1,5,3,2,6,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[6,1,3,2,5,4] => [1,6,4,5,2,3] => [1,3,5,2,6,4] => ([(1,5),(2,4),(3,4),(3,5)],6)
[6,1,3,4,2,5] => [1,6,4,3,5,2] => [1,5,2,6,4,3] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[6,1,3,4,5,2] => [1,6,4,3,2,5] => [1,5,6,4,3,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,5,2,4] => [1,6,4,2,5,3] => [1,5,3,6,4,2] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,5,4,2] => [1,6,4,2,3,5] => [1,3,5,6,4,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,4,2,3,5] => [1,6,3,5,4,2] => [1,5,4,2,6,3] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[6,1,4,2,5,3] => [1,6,3,5,2,4] => [1,4,5,2,6,3] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,1,4,3,2,5] => [1,6,3,4,5,2] => [1,5,2,4,6,3] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[6,1,4,3,5,2] => [1,6,3,4,2,5] => [1,4,2,5,6,3] => ([(1,5),(2,5),(3,4),(4,5)],6)
[6,1,4,5,2,3] => [1,6,3,2,5,4] => [1,5,4,6,3,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,4,5,3,2] => [1,6,3,2,4,5] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,2,3,4] => [1,6,2,5,4,3] => [1,5,4,3,6,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,2,4,3] => [1,6,2,5,3,4] => [1,4,5,3,6,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,3,2,4] => [1,6,2,4,5,3] => [1,5,3,4,6,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,3,4,2] => [1,6,2,4,3,5] => [1,4,3,5,6,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,4,2,3] => [1,6,2,3,5,4] => [1,3,5,4,6,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[6,2,1,3,4,5] => [1,5,6,4,3,2] => [1,6,4,3,2,5] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,1,3,5,4] => [1,5,6,4,2,3] => [1,3,6,4,2,5] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[6,2,1,4,3,5] => [1,5,6,3,4,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6)
[6,2,1,4,5,3] => [1,5,6,3,2,4] => [1,4,6,3,2,5] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[6,2,1,5,3,4] => [1,5,6,2,4,3] => [1,4,3,6,2,5] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[6,2,1,5,4,3] => [1,5,6,2,3,4] => [1,3,4,6,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6)
[6,2,3,1,4,5] => [1,5,4,6,3,2] => [1,6,3,2,5,4] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[6,2,3,1,5,4] => [1,5,4,6,2,3] => [1,3,6,2,5,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[6,2,3,4,1,5] => [1,5,4,3,6,2] => [1,6,2,5,4,3] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,3,4,5,1] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,3,5,1,4] => [1,5,4,2,6,3] => [1,6,3,5,4,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,3,5,4,1] => [1,5,4,2,3,6] => [1,3,5,4,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,1,3,5] => [1,5,3,6,4,2] => [1,6,4,2,5,3] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,1,5,3] => [1,5,3,6,2,4] => [1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[6,2,4,3,1,5] => [1,5,3,4,6,2] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,3,5,1] => [1,5,3,4,2,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6)
[6,2,4,5,1,3] => [1,5,3,2,6,4] => [1,6,4,5,3,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,5,3,1] => [1,5,3,2,4,6] => [1,4,5,3,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,1,3,4] => [1,5,2,6,4,3] => [1,6,4,3,5,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,1,4,3] => [1,5,2,6,3,4] => [1,4,6,3,5,2] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,3,1,4] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,3,4,1] => [1,5,2,4,3,6] => [1,4,3,5,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,4,1,3] => [1,5,2,3,6,4] => [1,3,6,4,5,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,4,3,1] => [1,5,2,3,4,6] => [1,3,4,5,2,6] => ([(2,5),(3,5),(4,5)],6)
[6,3,1,2,4,5] => [1,4,6,5,3,2] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,1,2,5,4] => [1,4,6,5,2,3] => [1,3,6,5,2,4] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[6,3,1,4,2,5] => [1,4,6,3,5,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,3,1,4,5,2] => [1,4,6,3,2,5] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[6,3,1,5,2,4] => [1,4,6,2,5,3] => [1,5,3,6,2,4] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[6,3,1,5,4,2] => [1,4,6,2,3,5] => [1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,3,2,1,4,5] => [1,4,5,6,3,2] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,1,5,4] => [1,4,5,6,2,3] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6)
[6,3,2,4,1,5] => [1,4,5,3,6,2] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,4,5,1] => [1,4,5,3,2,6] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,5,1,4] => [1,4,5,2,6,3] => [1,6,3,5,2,4] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,5,4,1] => [1,4,5,2,3,6] => [1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6)
[6,3,4,1,2,5] => [1,4,3,6,5,2] => [1,6,5,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,4,1,5,2] => [1,4,3,6,2,5] => [1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[6,3,4,2,1,5] => [1,4,3,5,6,2] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,4,2,5,1] => [1,4,3,5,2,6] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,3,4,5,1,2] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6)
[6,3,4,5,2,1] => [1,4,3,2,5,6] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6)
[6,3,5,1,2,4] => [1,4,2,6,5,3] => [1,6,5,3,4,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,5,1,4,2] => [1,4,2,6,3,5] => [1,5,6,3,4,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,3,5,2,1,4] => [1,4,2,5,6,3] => [1,6,3,4,2,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,5,2,4,1] => [1,4,2,5,3,6] => [1,5,3,4,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,5,4,1,2] => [1,4,2,3,6,5] => [1,3,4,2,6,5] => ([(1,2),(3,5),(4,5)],6)
[6,3,5,4,2,1] => [1,4,2,3,5,6] => [1,3,4,2,5,6] => ([(3,5),(4,5)],6)
[6,4,1,2,3,5] => [1,3,6,5,4,2] => [1,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,1,2,5,3] => [1,3,6,5,2,4] => [1,4,6,5,2,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[6,4,1,3,2,5] => [1,3,6,4,5,2] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6)
[6,4,1,3,5,2] => [1,3,6,4,2,5] => [1,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,4,1,5,2,3] => [1,3,6,2,5,4] => [1,5,4,6,2,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[6,4,1,5,3,2] => [1,3,6,2,4,5] => [1,4,5,6,2,3] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[6,4,2,1,3,5] => [1,3,5,6,4,2] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,2,1,5,3] => [1,3,5,6,2,4] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[6,4,2,3,1,5] => [1,3,5,4,6,2] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,2,3,5,1] => [1,3,5,4,2,6] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,2,5,1,3] => [1,3,5,2,6,4] => [1,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,4,2,5,3,1] => [1,3,5,2,4,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[6,4,3,1,2,5] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,3,1,5,2] => [1,3,4,6,2,5] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[6,4,3,2,1,5] => [1,3,4,5,6,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[6,4,3,2,5,1] => [1,3,4,5,2,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,4,3,5,1,2] => [1,3,4,2,6,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6)
[6,4,3,5,2,1] => [1,3,4,2,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[6,4,5,1,2,3] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6)
[6,4,5,1,3,2] => [1,3,2,6,4,5] => [1,3,2,5,6,4] => ([(1,2),(3,5),(4,5)],6)
[6,4,5,2,1,3] => [1,3,2,5,6,4] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[6,4,5,2,3,1] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6)
[6,4,5,3,1,2] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6)
[6,4,5,3,2,1] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6)
[6,5,1,2,3,4] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,1,2,4,3] => [1,2,6,5,3,4] => [1,2,4,6,5,3] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,5,1,3,2,4] => [1,2,6,4,5,3] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6)
[6,5,1,3,4,2] => [1,2,6,4,3,5] => [1,2,5,6,4,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,1,4,2,3] => [1,2,6,3,5,4] => [1,2,5,4,6,3] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,5,1,4,3,2] => [1,2,6,3,4,5] => [1,2,4,5,6,3] => ([(2,5),(3,5),(4,5)],6)
[6,5,2,1,3,4] => [1,2,5,6,4,3] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,5,2,1,4,3] => [1,2,5,6,3,4] => [1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6)
[6,5,2,3,1,4] => [1,2,5,4,6,3] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,5,2,3,4,1] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6)
[6,5,2,4,1,3] => [1,2,5,3,6,4] => [1,2,6,4,5,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,2,4,3,1] => [1,2,5,3,4,6] => [1,2,4,5,3,6] => ([(3,5),(4,5)],6)
[6,5,3,1,2,4] => [1,2,4,6,5,3] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,3,1,4,2] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6)
[6,5,3,2,1,4] => [1,2,4,5,6,3] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[6,5,3,2,4,1] => [1,2,4,5,3,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[6,5,3,4,1,2] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6)
[6,5,3,4,2,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6)
[6,5,4,1,2,3] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6)
[6,5,4,1,3,2] => [1,2,3,6,4,5] => [1,2,3,5,6,4] => ([(3,5),(4,5)],6)
[6,5,4,2,1,3] => [1,2,3,5,6,4] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[6,5,4,2,3,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6)
[6,5,4,3,1,2] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[6,5,4,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [2,7,6,5,4,3,1] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [3,1,7,6,5,4,2] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,4,6,7,5] => [7,6,5,4,2,1,3] => [3,7,6,5,4,2,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [3,2,7,6,5,4,1] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [2,3,7,6,5,4,1] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [4,2,1,7,6,5,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [2,4,1,7,6,5,3] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,5,6,4,7] => [7,6,5,3,2,4,1] => [4,1,7,6,5,3,2] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,5,6,7,4] => [7,6,5,3,2,1,4] => [4,7,6,5,3,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,5,7,4,6] => [7,6,5,3,1,4,2] => [4,2,7,6,5,3,1] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,5,7,6,4] => [7,6,5,3,1,2,4] => [2,4,7,6,5,3,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [4,3,1,7,6,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [3,4,1,7,6,5,2] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [4,1,3,7,6,5,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,3,6,5,7,4] => [7,6,5,2,3,1,4] => [3,1,4,7,6,5,2] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,6,7,4,5] => [7,6,5,2,1,4,3] => [4,3,7,6,5,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [3,4,7,6,5,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,4,5,6] => [7,6,5,1,4,3,2] => [4,3,2,7,6,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,4,6,5] => [7,6,5,1,4,2,3] => [3,4,2,7,6,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [4,2,3,7,6,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,3,7,5,6,4] => [7,6,5,1,3,2,4] => [3,2,4,7,6,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [2,4,3,7,6,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [2,3,4,7,6,5,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [5,3,2,1,7,6,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [2,5,3,1,7,6,4] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [3,1,5,2,7,6,4] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
[1,2,4,3,6,7,5] => [7,6,4,5,2,1,3] => [3,5,2,1,7,6,4] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[1,2,4,3,7,5,6] => [7,6,4,5,1,3,2] => [3,2,5,1,7,6,4] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [2,3,5,1,7,6,4] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[1,2,4,5,3,6,7] => [7,6,4,3,5,2,1] => [5,2,1,7,6,4,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,4,5,3,7,6] => [7,6,4,3,5,1,2] => [2,5,1,7,6,4,3] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,5,6,3,7] => [7,6,4,3,2,5,1] => [5,1,7,6,4,3,2] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,5,6,7,3] => [7,6,4,3,2,1,5] => [5,7,6,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,5,7,3,6] => [7,6,4,3,1,5,2] => [5,2,7,6,4,3,1] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,5,7,6,3] => [7,6,4,3,1,2,5] => [2,5,7,6,4,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,6,3,5,7] => [7,6,4,2,5,3,1] => [5,3,1,7,6,4,2] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,6,3,7,5] => [7,6,4,2,5,1,3] => [3,5,1,7,6,4,2] => ([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,6,5,3,7] => [7,6,4,2,3,5,1] => [5,1,3,7,6,4,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,6,5,7,3] => [7,6,4,2,3,1,5] => [3,1,5,7,6,4,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,6,7,3,5] => [7,6,4,2,1,5,3] => [5,3,7,6,4,2,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,6,7,5,3] => [7,6,4,2,1,3,5] => [3,5,7,6,4,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,3,5,6] => [7,6,4,1,5,3,2] => [5,3,2,7,6,4,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,3,6,5] => [7,6,4,1,5,2,3] => [3,5,2,7,6,4,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,4,7,5,3,6] => [7,6,4,1,3,5,2] => [5,2,3,7,6,4,1] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,5,6,3] => [7,6,4,1,3,2,5] => [3,2,5,7,6,4,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,6,3,5] => [7,6,4,1,2,5,3] => [2,5,3,7,6,4,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,6,5,3] => [7,6,4,1,2,3,5] => [2,3,5,7,6,4,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [5,4,2,1,7,6,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,5,3,4,7,6] => [7,6,3,5,4,1,2] => [2,5,4,1,7,6,3] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [4,1,5,2,7,6,3] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[1,2,5,3,6,7,4] => [7,6,3,5,2,1,4] => [4,5,2,1,7,6,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,5,3,7,4,6] => [7,6,3,5,1,4,2] => [4,2,5,1,7,6,3] => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [2,4,5,1,7,6,3] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [5,2,1,4,7,6,3] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [2,5,1,4,7,6,3] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,2,5,4,6,3,7] => [7,6,3,4,2,5,1] => [5,1,4,2,7,6,3] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,4,6,7,3] => [7,6,3,4,2,1,5] => [4,2,1,5,7,6,3] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[1,2,5,4,7,3,6] => [7,6,3,4,1,5,2] => [5,2,4,1,7,6,3] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,4,7,6,3] => [7,6,3,4,1,2,5] => [2,4,1,5,7,6,3] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[1,2,5,6,3,4,7] => [7,6,3,2,5,4,1] => [5,4,1,7,6,3,2] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,6,3,7,4] => [7,6,3,2,5,1,4] => [4,5,1,7,6,3,2] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [5,1,4,7,6,3,2] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,6,4,7,3] => [7,6,3,2,4,1,5] => [4,1,5,7,6,3,2] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,6,7,3,4] => [7,6,3,2,1,5,4] => [5,4,7,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,6,7,4,3] => [7,6,3,2,1,4,5] => [4,5,7,6,3,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,3,4,6] => [7,6,3,1,5,4,2] => [5,4,2,7,6,3,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,3,6,4] => [7,6,3,1,5,2,4] => [4,5,2,7,6,3,1] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,4,3,6] => [7,6,3,1,4,5,2] => [5,2,4,7,6,3,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,4,6,3] => [7,6,3,1,4,2,5] => [4,2,5,7,6,3,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,6,3,4] => [7,6,3,1,2,5,4] => [2,5,4,7,6,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [2,4,5,7,6,3,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,3,4,5,7] => [7,6,2,5,4,3,1] => [5,4,3,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,3,4,7,5] => [7,6,2,5,4,1,3] => [3,5,4,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,6,3,5,4,7] => [7,6,2,5,3,4,1] => [4,1,5,3,7,6,2] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,3,5,7,4] => [7,6,2,5,3,1,4] => [4,5,3,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,3,7,4,5] => [7,6,2,5,1,4,3] => [4,3,5,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,6,3,7,5,4] => [7,6,2,5,1,3,4] => [3,4,5,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [5,3,1,4,7,6,2] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [3,5,1,4,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,6,4,5,3,7] => [7,6,2,4,3,5,1] => [5,1,4,3,7,6,2] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,4,5,7,3] => [7,6,2,4,3,1,5] => [4,3,1,5,7,6,2] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,6,4,7,3,5] => [7,6,2,4,1,5,3] => [5,3,4,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,4,7,5,3] => [7,6,2,4,1,3,5] => [3,4,1,5,7,6,2] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [5,4,1,3,7,6,2] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,5,3,7,4] => [7,6,2,3,5,1,4] => [4,5,1,3,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [5,1,3,4,7,6,2] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,5,4,7,3] => [7,6,2,3,4,1,5] => [4,1,3,5,7,6,2] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,5,7,3,4] => [7,6,2,3,1,5,4] => [3,1,5,4,7,6,2] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,6,5,7,4,3] => [7,6,2,3,1,4,5] => [3,1,4,5,7,6,2] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,3,4,5] => [7,6,2,1,5,4,3] => [5,4,3,7,6,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,3,5,4] => [7,6,2,1,5,3,4] => [4,5,3,7,6,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,4,3,5] => [7,6,2,1,4,5,3] => [5,3,4,7,6,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,4,5,3] => [7,6,2,1,4,3,5] => [4,3,5,7,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,5,3,4] => [7,6,2,1,3,5,4] => [3,5,4,7,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [3,4,5,7,6,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,4,5,6] => [7,6,1,5,4,3,2] => [5,4,3,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,4,6,5] => [7,6,1,5,4,2,3] => [3,5,4,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,5,4,6] => [7,6,1,5,3,4,2] => [4,2,5,3,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,5,6,4] => [7,6,1,5,3,2,4] => [4,5,3,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,6,4,5] => [7,6,1,5,2,4,3] => [4,3,5,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,6,5,4] => [7,6,1,5,2,3,4] => [3,4,5,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,3,5,6] => [7,6,1,4,5,3,2] => [5,3,2,4,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,3,6,5] => [7,6,1,4,5,2,3] => [3,5,2,4,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,5,3,6] => [7,6,1,4,3,5,2] => [5,2,4,3,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,5,6,3] => [7,6,1,4,3,2,5] => [4,3,2,5,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,6,3,5] => [7,6,1,4,2,5,3] => [5,3,4,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,6,5,3] => [7,6,1,4,2,3,5] => [3,4,2,5,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,3,4,6] => [7,6,1,3,5,4,2] => [5,4,2,3,7,6,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [4,5,2,3,7,6,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [5,2,3,4,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,4,6,3] => [7,6,1,3,4,2,5] => [4,2,3,5,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,6,3,4] => [7,6,1,3,2,5,4] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [3,2,4,5,7,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,7,6,3,4,5] => [7,6,1,2,5,4,3] => [2,5,4,3,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,6,3,5,4] => [7,6,1,2,5,3,4] => [2,4,5,3,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [2,5,3,4,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,6,4,5,3] => [7,6,1,2,4,3,5] => [2,4,3,5,7,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [2,3,5,4,7,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [2,3,4,5,7,6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [6,4,3,2,1,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [2,6,4,3,1,7,5] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [3,1,6,4,2,7,5] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7)
[1,3,2,4,6,7,5] => [7,5,6,4,2,1,3] => [3,6,4,2,1,7,5] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,4,7,5,6] => [7,5,6,4,1,3,2] => [3,2,6,4,1,7,5] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [2,3,6,4,1,7,5] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [4,2,1,6,3,7,5] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
[1,3,2,5,4,7,6] => [7,5,6,3,4,1,2] => [2,4,1,6,3,7,5] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,3,2,5,6,4,7] => [7,5,6,3,2,4,1] => [4,1,6,3,2,7,5] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,2,5,6,7,4] => [7,5,6,3,2,1,4] => [4,6,3,2,1,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,5,7,4,6] => [7,5,6,3,1,4,2] => [4,2,6,3,1,7,5] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,2,5,7,6,4] => [7,5,6,3,1,2,4] => [2,4,6,3,1,7,5] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,6,4,5,7] => [7,5,6,2,4,3,1] => [4,3,1,6,2,7,5] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)
[1,3,2,6,4,7,5] => [7,5,6,2,4,1,3] => [3,4,1,6,2,7,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [4,1,3,6,2,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)
[1,3,2,6,5,7,4] => [7,5,6,2,3,1,4] => [3,1,4,6,2,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,3,2,6,7,4,5] => [7,5,6,2,1,4,3] => [4,3,6,2,1,7,5] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,6,7,5,4] => [7,5,6,2,1,3,4] => [3,4,6,2,1,7,5] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[1,3,2,7,4,5,6] => [7,5,6,1,4,3,2] => [4,3,2,6,1,7,5] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,7,4,6,5] => [7,5,6,1,4,2,3] => [3,4,2,6,1,7,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[1,3,2,7,5,4,6] => [7,5,6,1,3,4,2] => [4,2,3,6,1,7,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[1,3,2,7,5,6,4] => [7,5,6,1,3,2,4] => [3,2,4,6,1,7,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[1,3,2,7,6,4,5] => [7,5,6,1,2,4,3] => [2,4,3,6,1,7,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [2,3,4,6,1,7,5] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,3,4,2,5,6,7] => [7,5,4,6,3,2,1] => [6,3,2,1,7,5,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,2,5,7,6] => [7,5,4,6,3,1,2] => [2,6,3,1,7,5,4] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,4,2,6,5,7] => [7,5,4,6,2,3,1] => [3,1,6,2,7,5,4] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)
[1,3,4,2,6,7,5] => [7,5,4,6,2,1,3] => [3,6,2,1,7,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,2,7,5,6] => [7,5,4,6,1,3,2] => [3,2,6,1,7,5,4] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[1,3,4,2,7,6,5] => [7,5,4,6,1,2,3] => [2,3,6,1,7,5,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)
[1,3,4,5,2,6,7] => [7,5,4,3,6,2,1] => [6,2,1,7,5,4,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,5,2,7,6] => [7,5,4,3,6,1,2] => [2,6,1,7,5,4,3] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,5,6,2,7] => [7,5,4,3,2,6,1] => [6,1,7,5,4,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,5,6,7,2] => [7,5,4,3,2,1,6] => [6,7,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,5,7,2,6] => [7,5,4,3,1,6,2] => [6,2,7,5,4,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,5,7,6,2] => [7,5,4,3,1,2,6] => [2,6,7,5,4,3,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,2,5,7] => [7,5,4,2,6,3,1] => [6,3,1,7,5,4,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,2,7,5] => [7,5,4,2,6,1,3] => [3,6,1,7,5,4,2] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,5,2,7] => [7,5,4,2,3,6,1] => [6,1,3,7,5,4,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,5,7,2] => [7,5,4,2,3,1,6] => [3,1,6,7,5,4,2] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,7,2,5] => [7,5,4,2,1,6,3] => [6,3,7,5,4,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,7,5,2] => [7,5,4,2,1,3,6] => [3,6,7,5,4,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,2,5,6] => [7,5,4,1,6,3,2] => [6,3,2,7,5,4,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,2,6,5] => [7,5,4,1,6,2,3] => [3,6,2,7,5,4,1] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,5,2,6] => [7,5,4,1,3,6,2] => [6,2,3,7,5,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,5,6,2] => [7,5,4,1,3,2,6] => [3,2,6,7,5,4,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,6,2,5] => [7,5,4,1,2,6,3] => [2,6,3,7,5,4,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,6,5,2] => [7,5,4,1,2,3,6] => [2,3,6,7,5,4,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,2,4,6,7] => [7,5,3,6,4,2,1] => [6,4,2,1,7,5,3] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,2,4,7,6] => [7,5,3,6,4,1,2] => [2,6,4,1,7,5,3] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,3,5,2,6,4,7] => [7,5,3,6,2,4,1] => [4,1,6,2,7,5,3] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,5,2,6,7,4] => [7,5,3,6,2,1,4] => [4,6,2,1,7,5,3] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,5,2,7,4,6] => [7,5,3,6,1,4,2] => [4,2,6,1,7,5,3] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)
[1,3,5,2,7,6,4] => [7,5,3,6,1,2,4] => [2,4,6,1,7,5,3] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[1,3,5,4,2,6,7] => [7,5,3,4,6,2,1] => [6,2,1,4,7,5,3] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,5,4,2,7,6] => [7,5,3,4,6,1,2] => [2,6,1,4,7,5,3] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,4,6,2,7] => [7,5,3,4,2,6,1] => [6,1,4,2,7,5,3] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,4,6,7,2] => [7,5,3,4,2,1,6] => [4,2,1,6,7,5,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,5,4,7,2,6] => [7,5,3,4,1,6,2] => [6,2,4,1,7,5,3] => ([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,4,7,6,2] => [7,5,3,4,1,2,6] => [2,4,1,6,7,5,3] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[1,3,5,6,2,4,7] => [7,5,3,2,6,4,1] => [6,4,1,7,5,3,2] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,6,2,7,4] => [7,5,3,2,6,1,4] => [4,6,1,7,5,3,2] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,6,4,2,7] => [7,5,3,2,4,6,1] => [6,1,4,7,5,3,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,6,4,7,2] => [7,5,3,2,4,1,6] => [4,1,6,7,5,3,2] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,6,7,2,4] => [7,5,3,2,1,6,4] => [6,4,7,5,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,6,7,4,2] => [7,5,3,2,1,4,6] => [4,6,7,5,3,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,7,2,4,6] => [7,5,3,1,6,4,2] => [6,4,2,7,5,3,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,7,2,6,4] => [7,5,3,1,6,2,4] => [4,6,2,7,5,3,1] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,7,4,2,6] => [7,5,3,1,4,6,2] => [6,2,4,7,5,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,7,4,6,2] => [7,5,3,1,4,2,6] => [4,2,6,7,5,3,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,7,6,2,4] => [7,5,3,1,2,6,4] => [2,6,4,7,5,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,7,6,4,2] => [7,5,3,1,2,4,6] => [2,4,6,7,5,3,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,2,4,5,7] => [7,5,2,6,4,3,1] => [6,4,3,1,7,5,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,2,4,7,5] => [7,5,2,6,4,1,3] => [3,6,4,1,7,5,2] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,6,2,5,4,7] => [7,5,2,6,3,4,1] => [4,1,6,3,7,5,2] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,6,2,5,7,4] => [7,5,2,6,3,1,4] => [4,6,3,1,7,5,2] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,2,7,4,5] => [7,5,2,6,1,4,3] => [4,3,6,1,7,5,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,2,7,5,4] => [7,5,2,6,1,3,4] => [3,4,6,1,7,5,2] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,6,4,2,5,7] => [7,5,2,4,6,3,1] => [6,3,1,4,7,5,2] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,2,7,5] => [7,5,2,4,6,1,3] => [3,6,1,4,7,5,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,5,2,7] => [7,5,2,4,3,6,1] => [6,1,4,3,7,5,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,5,7,2] => [7,5,2,4,3,1,6] => [4,3,1,6,7,5,2] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,7,2,5] => [7,5,2,4,1,6,3] => [6,3,4,1,7,5,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,7,5,2] => [7,5,2,4,1,3,6] => [3,4,1,6,7,5,2] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,5,2,4,7] => [7,5,2,3,6,4,1] => [6,4,1,3,7,5,2] => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,5,2,7,4] => [7,5,2,3,6,1,4] => [4,6,1,3,7,5,2] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,5,4,2,7] => [7,5,2,3,4,6,1] => [6,1,3,4,7,5,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,6,5,4,7,2] => [7,5,2,3,4,1,6] => [4,1,3,6,7,5,2] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,6,5,7,2,4] => [7,5,2,3,1,6,4] => [3,1,6,4,7,5,2] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,5,7,4,2] => [7,5,2,3,1,4,6] => [3,1,4,6,7,5,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,6,7,2,4,5] => [7,5,2,1,6,4,3] => [6,4,3,7,5,2,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,7,2,5,4] => [7,5,2,1,6,3,4] => [4,6,3,7,5,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,7,4,2,5] => [7,5,2,1,4,6,3] => [6,3,4,7,5,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,7,4,5,2] => [7,5,2,1,4,3,6] => [4,3,6,7,5,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,7,5,2,4] => [7,5,2,1,3,6,4] => [3,6,4,7,5,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,7,5,4,2] => [7,5,2,1,3,4,6] => [3,4,6,7,5,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,2,4,5,6] => [7,5,1,6,4,3,2] => [6,4,3,2,7,5,1] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,2,4,6,5] => [7,5,1,6,4,2,3] => [3,6,4,2,7,5,1] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,2,5,4,6] => [7,5,1,6,3,4,2] => [4,2,6,3,7,5,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,7,2,5,6,4] => [7,5,1,6,3,2,4] => [4,6,3,2,7,5,1] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,2,6,4,5] => [7,5,1,6,2,4,3] => [4,3,6,2,7,5,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,7,2,6,5,4] => [7,5,1,6,2,3,4] => [3,4,6,2,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,2,5,6] => [7,5,1,4,6,3,2] => [6,3,2,4,7,5,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,2,6,5] => [7,5,1,4,6,2,3] => [3,6,2,4,7,5,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,5,2,6] => [7,5,1,4,3,6,2] => [6,2,4,3,7,5,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,5,6,2] => [7,5,1,4,3,2,6] => [4,3,2,6,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,7,4,6,2,5] => [7,5,1,4,2,6,3] => [6,3,4,2,7,5,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,6,5,2] => [7,5,1,4,2,3,6] => [3,4,2,6,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,7,5,2,4,6] => [7,5,1,3,6,4,2] => [6,4,2,3,7,5,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,2,6,4] => [7,5,1,3,6,2,4] => [4,6,2,3,7,5,1] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,4,2,6] => [7,5,1,3,4,6,2] => [6,2,3,4,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,4,6,2] => [7,5,1,3,4,2,6] => [4,2,3,6,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,7,5,6,2,4] => [7,5,1,3,2,6,4] => [3,2,6,4,7,5,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,6,4,2] => [7,5,1,3,2,4,6] => [3,2,4,6,7,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,2,4,5] => [7,5,1,2,6,4,3] => [2,6,4,3,7,5,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,2,5,4] => [7,5,1,2,6,3,4] => [2,4,6,3,7,5,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,7,6,4,2,5] => [7,5,1,2,4,6,3] => [2,6,3,4,7,5,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,4,5,2] => [7,5,1,2,4,3,6] => [2,4,3,6,7,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,5,2,4] => [7,5,1,2,3,6,4] => [2,3,6,4,7,5,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,5,4,2] => [7,5,1,2,3,4,6] => [2,3,4,6,7,5,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [6,5,3,2,1,7,4] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,3,5,7,6] => [7,4,6,5,3,1,2] => [2,6,5,3,1,7,4] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,2,3,6,5,7] => [7,4,6,5,2,3,1] => [3,1,6,5,2,7,4] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,2,3,6,7,5] => [7,4,6,5,2,1,3] => [3,6,5,2,1,7,4] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,3,7,5,6] => [7,4,6,5,1,3,2] => [3,2,6,5,1,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,2,3,7,6,5] => [7,4,6,5,1,2,3] => [2,3,6,5,1,7,4] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [5,2,1,6,3,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[1,4,2,5,3,7,6] => [7,4,6,3,5,1,2] => [2,5,1,6,3,7,4] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[1,4,2,5,6,3,7] => [7,4,6,3,2,5,1] => [5,1,6,3,2,7,4] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,2,5,6,7,3] => [7,4,6,3,2,1,5] => [5,6,3,2,1,7,4] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,2,5,7,3,6] => [7,4,6,3,1,5,2] => [5,2,6,3,1,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [2,5,6,3,1,7,4] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,2,6,3,5,7] => [7,4,6,2,5,3,1] => [5,3,1,6,2,7,4] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [3,5,1,6,2,7,4] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [5,1,3,6,2,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,6,5,7,3] => [7,4,6,2,3,1,5] => [3,1,5,6,2,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[1,4,2,6,7,3,5] => [7,4,6,2,1,5,3] => [5,3,6,2,1,7,4] => ([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [3,5,6,2,1,7,4] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[1,4,2,7,3,5,6] => [7,4,6,1,5,3,2] => [5,3,2,6,1,7,4] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,4,2,7,3,6,5] => [7,4,6,1,5,2,3] => [3,5,2,6,1,7,4] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [5,2,3,6,1,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [3,2,5,6,1,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [2,5,3,6,1,7,4] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [2,3,5,6,1,7,4] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [6,3,2,1,5,7,4] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [2,6,3,1,5,7,4] => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [3,1,6,2,5,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)
[1,4,3,2,6,7,5] => [7,4,5,6,2,1,3] => [3,6,2,1,5,7,4] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,3,2,7,5,6] => [7,4,5,6,1,3,2] => [3,2,6,1,5,7,4] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [2,3,6,1,5,7,4] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,3,5,2,6,7] => [7,4,5,3,6,2,1] => [6,2,1,5,3,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,5,2,7,6] => [7,4,5,3,6,1,2] => [2,6,1,5,3,7,4] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,5,6,2,7] => [7,4,5,3,2,6,1] => [6,1,5,3,2,7,4] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,5,6,7,2] => [7,4,5,3,2,1,6] => [5,3,2,1,6,7,4] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,3,5,7,2,6] => [7,4,5,3,1,6,2] => [6,2,5,3,1,7,4] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,5,7,6,2] => [7,4,5,3,1,2,6] => [2,5,3,1,6,7,4] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,3,6,2,5,7] => [7,4,5,2,6,3,1] => [6,3,1,5,2,7,4] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,3,6,2,7,5] => [7,4,5,2,6,1,3] => [3,6,1,5,2,7,4] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,3,6,5,2,7] => [7,4,5,2,3,6,1] => [6,1,3,5,2,7,4] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,3,6,5,7,2] => [7,4,5,2,3,1,6] => [3,1,5,2,6,7,4] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,4,3,6,7,2,5] => [7,4,5,2,1,6,3] => [6,3,5,2,1,7,4] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,6,7,5,2] => [7,4,5,2,1,3,6] => [3,5,2,1,6,7,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)
[1,4,3,7,2,5,6] => [7,4,5,1,6,3,2] => [6,3,2,5,1,7,4] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,3,7,2,6,5] => [7,4,5,1,6,2,3] => [3,6,2,5,1,7,4] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,4,3,7,5,2,6] => [7,4,5,1,3,6,2] => [6,2,3,5,1,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,3,7,5,6,2] => [7,4,5,1,3,2,6] => [3,2,5,1,6,7,4] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[1,4,3,7,6,2,5] => [7,4,5,1,2,6,3] => [2,6,3,5,1,7,4] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,7,6,5,2] => [7,4,5,1,2,3,6] => [2,3,5,1,6,7,4] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,4,5,2,3,6,7] => [7,4,3,6,5,2,1] => [6,5,2,1,7,4,3] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,2,3,7,6] => [7,4,3,6,5,1,2] => [2,6,5,1,7,4,3] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,2,6,3,7] => [7,4,3,6,2,5,1] => [5,1,6,2,7,4,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,5,2,6,7,3] => [7,4,3,6,2,1,5] => [5,6,2,1,7,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,2,7,3,6] => [7,4,3,6,1,5,2] => [5,2,6,1,7,4,3] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[1,4,5,2,7,6,3] => [7,4,3,6,1,2,5] => [2,5,6,1,7,4,3] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [6,2,1,5,7,4,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,3,2,7,6] => [7,4,3,5,6,1,2] => [2,6,1,5,7,4,3] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,3,6,2,7] => [7,4,3,5,2,6,1] => [6,1,5,2,7,4,3] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,3,6,7,2] => [7,4,3,5,2,1,6] => [5,2,1,6,7,4,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,3,7,2,6] => [7,4,3,5,1,6,2] => [6,2,5,1,7,4,3] => ([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,3,7,6,2] => [7,4,3,5,1,2,6] => [2,5,1,6,7,4,3] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[1,4,5,6,2,3,7] => [7,4,3,2,6,5,1] => [6,5,1,7,4,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,6,2,7,3] => [7,4,3,2,6,1,5] => [5,6,1,7,4,3,2] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,6,3,2,7] => [7,4,3,2,5,6,1] => [6,1,5,7,4,3,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,6,3,7,2] => [7,4,3,2,5,1,6] => [5,1,6,7,4,3,2] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,6,7,2,3] => [7,4,3,2,1,6,5] => [6,5,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,6,7,3,2] => [7,4,3,2,1,5,6] => [5,6,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,2,3,6] => [7,4,3,1,6,5,2] => [6,5,2,7,4,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,2,6,3] => [7,4,3,1,6,2,5] => [5,6,2,7,4,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,3,2,6] => [7,4,3,1,5,6,2] => [6,2,5,7,4,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,3,6,2] => [7,4,3,1,5,2,6] => [5,2,6,7,4,3,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,6,2,3] => [7,4,3,1,2,6,5] => [2,6,5,7,4,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [2,5,6,7,4,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,2,3,5,7] => [7,4,2,6,5,3,1] => [6,5,3,1,7,4,2] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,2,3,7,5] => [7,4,2,6,5,1,3] => [3,6,5,1,7,4,2] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,2,5,3,7] => [7,4,2,6,3,5,1] => [5,1,6,3,7,4,2] => ([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,2,5,7,3] => [7,4,2,6,3,1,5] => [5,6,3,1,7,4,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,2,7,3,5] => [7,4,2,6,1,5,3] => [5,3,6,1,7,4,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,2,7,5,3] => [7,4,2,6,1,3,5] => [3,5,6,1,7,4,2] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[1,4,6,3,2,5,7] => [7,4,2,5,6,3,1] => [6,3,1,5,7,4,2] => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [3,6,1,5,7,4,2] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,3,5,2,7] => [7,4,2,5,3,6,1] => [6,1,5,3,7,4,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,3,5,7,2] => [7,4,2,5,3,1,6] => [5,3,1,6,7,4,2] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,3,7,2,5] => [7,4,2,5,1,6,3] => [6,3,5,1,7,4,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,3,7,5,2] => [7,4,2,5,1,3,6] => [3,5,1,6,7,4,2] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[1,4,6,5,2,3,7] => [7,4,2,3,6,5,1] => [6,5,1,3,7,4,2] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,5,2,7,3] => [7,4,2,3,6,1,5] => [5,6,1,3,7,4,2] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [6,1,3,5,7,4,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,5,3,7,2] => [7,4,2,3,5,1,6] => [5,1,3,6,7,4,2] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,5,7,2,3] => [7,4,2,3,1,6,5] => [3,1,6,5,7,4,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,5,7,3,2] => [7,4,2,3,1,5,6] => [3,1,5,6,7,4,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,6,7,2,3,5] => [7,4,2,1,6,5,3] => [6,5,3,7,4,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,7,2,5,3] => [7,4,2,1,6,3,5] => [5,6,3,7,4,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,7,3,2,5] => [7,4,2,1,5,6,3] => [6,3,5,7,4,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,7,3,5,2] => [7,4,2,1,5,3,6] => [5,3,6,7,4,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,7,5,2,3] => [7,4,2,1,3,6,5] => [3,6,5,7,4,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [3,5,6,7,4,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,3,5,6] => [7,4,1,6,5,3,2] => [6,5,3,2,7,4,1] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,3,6,5] => [7,4,1,6,5,2,3] => [3,6,5,2,7,4,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,7,2,5,3,6] => [7,4,1,6,3,5,2] => [5,2,6,3,7,4,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,5,6,3] => [7,4,1,6,3,2,5] => [5,6,3,2,7,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,6,3,5] => [7,4,1,6,2,5,3] => [5,3,6,2,7,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,7,2,6,5,3] => [7,4,1,6,2,3,5] => [3,5,6,2,7,4,1] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,7,3,2,5,6] => [7,4,1,5,6,3,2] => [6,3,2,5,7,4,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,2,6,5] => [7,4,1,5,6,2,3] => [3,6,2,5,7,4,1] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,5,2,6] => [7,4,1,5,3,6,2] => [6,2,5,3,7,4,1] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,5,6,2] => [7,4,1,5,3,2,6] => [5,3,2,6,7,4,1] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,6,2,5] => [7,4,1,5,2,6,3] => [6,3,5,2,7,4,1] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,6,5,2] => [7,4,1,5,2,3,6] => [3,5,2,6,7,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,2,3,6] => [7,4,1,3,6,5,2] => [6,5,2,3,7,4,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,2,6,3] => [7,4,1,3,6,2,5] => [5,6,2,3,7,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [6,2,3,5,7,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,3,6,2] => [7,4,1,3,5,2,6] => [5,2,3,6,7,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,6,2,3] => [7,4,1,3,2,6,5] => [3,2,6,5,7,4,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [3,2,5,6,7,4,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,2,3,5] => [7,4,1,2,6,5,3] => [2,6,5,3,7,4,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,2,5,3] => [7,4,1,2,6,3,5] => [2,5,6,3,7,4,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [2,6,3,5,7,4,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,3,5,2] => [7,4,1,2,5,3,6] => [2,5,3,6,7,4,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,5,2,3] => [7,4,1,2,3,6,5] => [2,3,6,5,7,4,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [2,3,5,6,7,4,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,3,4,6,7] => [7,3,6,5,4,2,1] => [6,5,4,2,1,7,3] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,3,4,7,6] => [7,3,6,5,4,1,2] => [2,6,5,4,1,7,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,3,6,4,7] => [7,3,6,5,2,4,1] => [4,1,6,5,2,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,2,3,6,7,4] => [7,3,6,5,2,1,4] => [4,6,5,2,1,7,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[1,5,2,3,7,4,6] => [7,3,6,5,1,4,2] => [4,2,6,5,1,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [2,4,6,5,1,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,4,3,6,7] => [7,3,6,4,5,2,1] => [5,2,1,6,4,7,3] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,4,3,7,6] => [7,3,6,4,5,1,2] => [2,5,1,6,4,7,3] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,4,6,3,7] => [7,3,6,4,2,5,1] => [5,1,6,4,2,7,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,4,6,7,3] => [7,3,6,4,2,1,5] => [5,6,4,2,1,7,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,4,7,3,6] => [7,3,6,4,1,5,2] => [5,2,6,4,1,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,4,7,6,3] => [7,3,6,4,1,2,5] => [2,5,6,4,1,7,3] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,6,3,4,7] => [7,3,6,2,5,4,1] => [5,4,1,6,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [4,5,1,6,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,2,6,4,3,7] => [7,3,6,2,4,5,1] => [5,1,4,6,2,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,5,2,6,4,7,3] => [7,3,6,2,4,1,5] => [4,1,5,6,2,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,6,7,3,4] => [7,3,6,2,1,5,4] => [5,4,6,2,1,7,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[1,5,2,6,7,4,3] => [7,3,6,2,1,4,5] => [4,5,6,2,1,7,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[1,5,2,7,3,4,6] => [7,3,6,1,5,4,2] => [5,4,2,6,1,7,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,7,3,6,4] => [7,3,6,1,5,2,4] => [4,5,2,6,1,7,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,7,4,3,6] => [7,3,6,1,4,5,2] => [5,2,4,6,1,7,3] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,7,4,6,3] => [7,3,6,1,4,2,5] => [4,2,5,6,1,7,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[1,5,2,7,6,3,4] => [7,3,6,1,2,5,4] => [2,5,4,6,1,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,7,6,4,3] => [7,3,6,1,2,4,5] => [2,4,5,6,1,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [6,4,2,1,5,7,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,2,4,7,6] => [7,3,5,6,4,1,2] => [2,6,4,1,5,7,3] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [4,1,6,2,5,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [4,6,2,1,5,7,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [4,2,6,1,5,7,3] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [2,4,6,1,5,7,3] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,5,3,4,2,6,7] => [7,3,5,4,6,2,1] => [6,2,1,5,4,7,3] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,4,2,7,6] => [7,3,5,4,6,1,2] => [2,6,1,5,4,7,3] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,4,6,2,7] => [7,3,5,4,2,6,1] => [6,1,5,4,2,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,4,6,7,2] => [7,3,5,4,2,1,6] => [5,4,2,1,6,7,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,3,4,7,2,6] => [7,3,5,4,1,6,2] => [6,2,5,4,1,7,3] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,3,4,7,6,2] => [7,3,5,4,1,2,6] => [2,5,4,1,6,7,3] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,3,6,2,4,7] => [7,3,5,2,6,4,1] => [6,4,1,5,2,7,3] => ([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,6,2,7,4] => [7,3,5,2,6,1,4] => [4,6,1,5,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,3,6,4,2,7] => [7,3,5,2,4,6,1] => [6,1,4,5,2,7,3] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,6,4,7,2] => [7,3,5,2,4,1,6] => [4,1,5,2,6,7,3] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[1,5,3,6,7,2,4] => [7,3,5,2,1,6,4] => [6,4,5,2,1,7,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,6,7,4,2] => [7,3,5,2,1,4,6] => [4,5,2,1,6,7,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,3,7,2,4,6] => [7,3,5,1,6,4,2] => [6,4,2,5,1,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,3,7,2,6,4] => [7,3,5,1,6,2,4] => [4,6,2,5,1,7,3] => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,5,3,7,4,2,6] => [7,3,5,1,4,6,2] => [6,2,4,5,1,7,3] => ([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,3,7,4,6,2] => [7,3,5,1,4,2,6] => [4,2,5,1,6,7,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[1,5,3,7,6,2,4] => [7,3,5,1,2,6,4] => [2,6,4,5,1,7,3] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,7,6,4,2] => [7,3,5,1,2,4,6] => [2,4,5,1,6,7,3] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [6,5,2,1,4,7,3] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,2,3,7,6] => [7,3,4,6,5,1,2] => [2,6,5,1,4,7,3] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,4,2,6,3,7] => [7,3,4,6,2,5,1] => [5,1,6,2,4,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,5,4,2,6,7,3] => [7,3,4,6,2,1,5] => [5,6,2,1,4,7,3] => ([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,4,2,7,3,6] => [7,3,4,6,1,5,2] => [5,2,6,1,4,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [2,5,6,1,4,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [6,2,1,4,5,7,3] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [2,6,1,4,5,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,5,4,3,6,2,7] => [7,3,4,5,2,6,1] => [6,1,5,2,4,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,3,6,7,2] => [7,3,4,5,2,1,6] => [5,2,1,4,6,7,3] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,4,3,7,2,6] => [7,3,4,5,1,6,2] => [6,2,5,1,4,7,3] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,3,7,6,2] => [7,3,4,5,1,2,6] => [2,5,1,4,6,7,3] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,4,6,2,3,7] => [7,3,4,2,6,5,1] => [6,5,1,4,2,7,3] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,6,2,7,3] => [7,3,4,2,6,1,5] => [5,6,1,4,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,4,6,3,2,7] => [7,3,4,2,5,6,1] => [6,1,4,2,5,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,6,3,7,2] => [7,3,4,2,5,1,6] => [5,1,4,2,6,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,6,7,2,3] => [7,3,4,2,1,6,5] => [4,2,1,6,5,7,3] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[1,5,4,6,7,3,2] => [7,3,4,2,1,5,6] => [4,2,1,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[1,5,4,7,2,3,6] => [7,3,4,1,6,5,2] => [6,5,2,4,1,7,3] => ([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,7,2,6,3] => [7,3,4,1,6,2,5] => [5,6,2,4,1,7,3] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,4,7,3,2,6] => [7,3,4,1,5,6,2] => [6,2,4,1,5,7,3] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,7,3,6,2] => [7,3,4,1,5,2,6] => [5,2,4,1,6,7,3] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,4,7,6,2,3] => [7,3,4,1,2,6,5] => [2,4,1,6,5,7,3] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[1,5,4,7,6,3,2] => [7,3,4,1,2,5,6] => [2,4,1,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,5,6,2,3,4,7] => [7,3,2,6,5,4,1] => [6,5,4,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,2,3,7,4] => [7,3,2,6,5,1,4] => [4,6,5,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,2,4,3,7] => [7,3,2,6,4,5,1] => [5,1,6,4,7,3,2] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,2,4,7,3] => [7,3,2,6,4,1,5] => [5,6,4,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,2,7,3,4] => [7,3,2,6,1,5,4] => [5,4,6,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,2,7,4,3] => [7,3,2,6,1,4,5] => [4,5,6,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,3,2,4,7] => [7,3,2,5,6,4,1] => [6,4,1,5,7,3,2] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,3,2,7,4] => [7,3,2,5,6,1,4] => [4,6,1,5,7,3,2] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,3,4,2,7] => [7,3,2,5,4,6,1] => [6,1,5,4,7,3,2] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,3,4,7,2] => [7,3,2,5,4,1,6] => [5,4,1,6,7,3,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,3,7,2,4] => [7,3,2,5,1,6,4] => [6,4,5,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,3,7,4,2] => [7,3,2,5,1,4,6] => [4,5,1,6,7,3,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,2,3,7] => [7,3,2,4,6,5,1] => [6,5,1,4,7,3,2] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,2,7,3] => [7,3,2,4,6,1,5] => [5,6,1,4,7,3,2] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [6,1,4,5,7,3,2] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,3,7,2] => [7,3,2,4,5,1,6] => [5,1,4,6,7,3,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,7,2,3] => [7,3,2,4,1,6,5] => [4,1,6,5,7,3,2] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,7,3,2] => [7,3,2,4,1,5,6] => [4,1,5,6,7,3,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,2,3,4] => [7,3,2,1,6,5,4] => [6,5,4,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,2,4,3] => [7,3,2,1,6,4,5] => [5,6,4,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,3,2,4] => [7,3,2,1,5,6,4] => [6,4,5,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,3,4,2] => [7,3,2,1,5,4,6] => [5,4,6,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,4,2,3] => [7,3,2,1,4,6,5] => [4,6,5,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [4,5,6,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,2,3,4,6] => [7,3,1,6,5,4,2] => [6,5,4,2,7,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,2,3,6,4] => [7,3,1,6,5,2,4] => [4,6,5,2,7,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,7,2,4,3,6] => [7,3,1,6,4,5,2] => [5,2,6,4,7,3,1] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,2,4,6,3] => [7,3,1,6,4,2,5] => [5,6,4,2,7,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,2,6,3,4] => [7,3,1,6,2,5,4] => [5,4,6,2,7,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,7,2,6,4,3] => [7,3,1,6,2,4,5] => [4,5,6,2,7,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,7,3,2,4,6] => [7,3,1,5,6,4,2] => [6,4,2,5,7,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,2,6,4] => [7,3,1,5,6,2,4] => [4,6,2,5,7,3,1] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,4,2,6] => [7,3,1,5,4,6,2] => [6,2,5,4,7,3,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,4,6,2] => [7,3,1,5,4,2,6] => [5,4,2,6,7,3,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,6,2,4] => [7,3,1,5,2,6,4] => [6,4,5,2,7,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,6,4,2] => [7,3,1,5,2,4,6] => [4,5,2,6,7,3,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,2,3,6] => [7,3,1,4,6,5,2] => [6,5,2,4,7,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [5,6,2,4,7,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [6,2,4,5,7,3,1] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,3,6,2] => [7,3,1,4,5,2,6] => [5,2,4,6,7,3,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,6,2,3] => [7,3,1,4,2,6,5] => [4,2,6,5,7,3,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,6,3,2] => [7,3,1,4,2,5,6] => [4,2,5,6,7,3,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,2,3,4] => [7,3,1,2,6,5,4] => [2,6,5,4,7,3,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,2,4,3] => [7,3,1,2,6,4,5] => [2,5,6,4,7,3,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,3,2,4] => [7,3,1,2,5,6,4] => [2,6,4,5,7,3,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,3,4,2] => [7,3,1,2,5,4,6] => [2,5,4,6,7,3,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [2,4,6,5,7,3,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [2,4,5,6,7,3,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,3,4,5,7] => [7,2,6,5,4,3,1] => [6,5,4,3,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,3,4,7,5] => [7,2,6,5,4,1,3] => [3,6,5,4,1,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,3,5,4,7] => [7,2,6,5,3,4,1] => [4,1,6,5,3,7,2] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,3,5,7,4] => [7,2,6,5,3,1,4] => [4,6,5,3,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,6,2,3,7,4,5] => [7,2,6,5,1,4,3] => [4,3,6,5,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,3,7,5,4] => [7,2,6,5,1,3,4] => [3,4,6,5,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,4,3,5,7] => [7,2,6,4,5,3,1] => [5,3,1,6,4,7,2] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,4,3,7,5] => [7,2,6,4,5,1,3] => [3,5,1,6,4,7,2] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,4,5,3,7] => [7,2,6,4,3,5,1] => [5,1,6,4,3,7,2] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,4,5,7,3] => [7,2,6,4,3,1,5] => [5,6,4,3,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,4,7,3,5] => [7,2,6,4,1,5,3] => [5,3,6,4,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,4,7,5,3] => [7,2,6,4,1,3,5] => [3,5,6,4,1,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,5,3,4,7] => [7,2,6,3,5,4,1] => [5,4,1,6,3,7,2] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,3,7,4] => [7,2,6,3,5,1,4] => [4,5,1,6,3,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,4,3,7] => [7,2,6,3,4,5,1] => [5,1,4,6,3,7,2] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,4,7,3] => [7,2,6,3,4,1,5] => [4,1,5,6,3,7,2] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,7,3,4] => [7,2,6,3,1,5,4] => [5,4,6,3,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,6,2,5,7,4,3] => [7,2,6,3,1,4,5] => [4,5,6,3,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,6,2,7,3,4,5] => [7,2,6,1,5,4,3] => [5,4,3,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,7,3,5,4] => [7,2,6,1,5,3,4] => [4,5,3,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,7,4,3,5] => [7,2,6,1,4,5,3] => [5,3,4,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,7,4,5,3] => [7,2,6,1,4,3,5] => [4,3,5,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,7,5,3,4] => [7,2,6,1,3,5,4] => [3,5,4,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,7,5,4,3] => [7,2,6,1,3,4,5] => [3,4,5,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,2,4,5,7] => [7,2,5,6,4,3,1] => [6,4,3,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [3,6,4,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,3,2,5,4,7] => [7,2,5,6,3,4,1] => [4,1,6,3,5,7,2] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,3,2,5,7,4] => [7,2,5,6,3,1,4] => [4,6,3,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [4,3,6,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,6,3,2,7,5,4] => [7,2,5,6,1,3,4] => [3,4,6,1,5,7,2] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,6,3,4,2,5,7] => [7,2,5,4,6,3,1] => [6,3,1,5,4,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,4,2,7,5] => [7,2,5,4,6,1,3] => [3,6,1,5,4,7,2] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,4,5,2,7] => [7,2,5,4,3,6,1] => [6,1,5,4,3,7,2] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,4,5,7,2] => [7,2,5,4,3,1,6] => [5,4,3,1,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,4,7,2,5] => [7,2,5,4,1,6,3] => [6,3,5,4,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,6,3,4,7,5,2] => [7,2,5,4,1,3,6] => [3,5,4,1,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,5,2,4,7] => [7,2,5,3,6,4,1] => [6,4,1,5,3,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,2,7,4] => [7,2,5,3,6,1,4] => [4,6,1,5,3,7,2] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,4,2,7] => [7,2,5,3,4,6,1] => [6,1,4,5,3,7,2] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,4,7,2] => [7,2,5,3,4,1,6] => [4,1,5,3,6,7,2] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,7,2,4] => [7,2,5,3,1,6,4] => [6,4,5,3,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,7,4,2] => [7,2,5,3,1,4,6] => [4,5,3,1,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,7,2,4,5] => [7,2,5,1,6,4,3] => [6,4,3,5,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,6,3,7,2,5,4] => [7,2,5,1,6,3,4] => [4,6,3,5,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [6,3,4,5,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,6,3,7,4,5,2] => [7,2,5,1,4,3,6] => [4,3,5,1,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [3,6,4,5,1,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,7,5,4,2] => [7,2,5,1,3,4,6] => [3,4,5,1,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,2,3,5,7] => [7,2,4,6,5,3,1] => [6,5,3,1,4,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [3,6,5,1,4,7,2] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [5,1,6,3,4,7,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,2,5,7,3] => [7,2,4,6,3,1,5] => [5,6,3,1,4,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,4,2,7,3,5] => [7,2,4,6,1,5,3] => [5,3,6,1,4,7,2] => ([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [3,5,6,1,4,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,3,2,5,7] => [7,2,4,5,6,3,1] => [6,3,1,4,5,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,4,3,2,7,5] => [7,2,4,5,6,1,3] => [3,6,1,4,5,7,2] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,3,5,2,7] => [7,2,4,5,3,6,1] => [6,1,5,3,4,7,2] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,3,5,7,2] => [7,2,4,5,3,1,6] => [5,3,1,4,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,4,3,7,2,5] => [7,2,4,5,1,6,3] => [6,3,5,1,4,7,2] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,3,7,5,2] => [7,2,4,5,1,3,6] => [3,5,1,4,6,7,2] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,4,5,2,3,7] => [7,2,4,3,6,5,1] => [6,5,1,4,3,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,5,2,7,3] => [7,2,4,3,6,1,5] => [5,6,1,4,3,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [6,1,4,3,5,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,5,3,7,2] => [7,2,4,3,5,1,6] => [5,1,4,3,6,7,2] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,5,7,2,3] => [7,2,4,3,1,6,5] => [4,3,1,6,5,7,2] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,4,5,7,3,2] => [7,2,4,3,1,5,6] => [4,3,1,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,4,7,2,3,5] => [7,2,4,1,6,5,3] => [6,5,3,4,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,2,5,3] => [7,2,4,1,6,3,5] => [5,6,3,4,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,4,7,3,2,5] => [7,2,4,1,5,6,3] => [6,3,4,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,3,5,2] => [7,2,4,1,5,3,6] => [5,3,4,1,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,5,2,3] => [7,2,4,1,3,6,5] => [3,4,1,6,5,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [3,4,1,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,2,3,4,7] => [7,2,3,6,5,4,1] => [6,5,4,1,3,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,2,3,7,4] => [7,2,3,6,5,1,4] => [4,6,5,1,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,2,4,3,7] => [7,2,3,6,4,5,1] => [5,1,3,6,4,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,2,4,7,3] => [7,2,3,6,4,1,5] => [5,6,4,1,3,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,2,7,3,4] => [7,2,3,6,1,5,4] => [5,4,6,1,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,2,7,4,3] => [7,2,3,6,1,4,5] => [4,5,6,1,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => [6,4,1,3,5,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,2,7,4] => [7,2,3,5,6,1,4] => [4,6,1,3,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,4,2,7] => [7,2,3,5,4,6,1] => [6,1,3,5,4,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,4,7,2] => [7,2,3,5,4,1,6] => [5,4,1,3,6,7,2] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,7,2,4] => [7,2,3,5,1,6,4] => [6,4,5,1,3,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,7,4,2] => [7,2,3,5,1,4,6] => [4,5,1,3,6,7,2] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,5,4,2,3,7] => [7,2,3,4,6,5,1] => [6,5,1,3,4,7,2] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,4,2,7,3] => [7,2,3,4,6,1,5] => [5,6,1,3,4,7,2] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [6,1,3,4,5,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,4,3,7,2] => [7,2,3,4,5,1,6] => [5,1,3,4,6,7,2] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,4,7,2,3] => [7,2,3,4,1,6,5] => [4,1,3,6,5,7,2] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,4,7,3,2] => [7,2,3,4,1,5,6] => [4,1,3,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,5,7,2,3,4] => [7,2,3,1,6,5,4] => [3,1,6,5,4,7,2] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,7,2,4,3] => [7,2,3,1,6,4,5] => [3,1,5,6,4,7,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,5,7,3,2,4] => [7,2,3,1,5,6,4] => [3,1,6,4,5,7,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,5,7,3,4,2] => [7,2,3,1,5,4,6] => [3,1,5,4,6,7,2] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,7,4,2,3] => [7,2,3,1,4,6,5] => [3,1,4,6,5,7,2] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,7,4,3,2] => [7,2,3,1,4,5,6] => [3,1,4,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,6,7,2,3,4,5] => [7,2,1,6,5,4,3] => [6,5,4,3,7,2,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,3,5,4] => [7,2,1,6,5,3,4] => [4,6,5,3,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,4,3,5] => [7,2,1,6,4,5,3] => [5,3,6,4,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,4,5,3] => [7,2,1,6,4,3,5] => [5,6,4,3,7,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,5,3,4] => [7,2,1,6,3,5,4] => [5,4,6,3,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,5,4,3] => [7,2,1,6,3,4,5] => [4,5,6,3,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,2,4,5] => [7,2,1,5,6,4,3] => [6,4,3,5,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,2,5,4] => [7,2,1,5,6,3,4] => [4,6,3,5,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,4,2,5] => [7,2,1,5,4,6,3] => [6,3,5,4,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,4,5,2] => [7,2,1,5,4,3,6] => [5,4,3,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,5,2,4] => [7,2,1,5,3,6,4] => [6,4,5,3,7,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,5,4,2] => [7,2,1,5,3,4,6] => [4,5,3,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,2,3,5] => [7,2,1,4,6,5,3] => [6,5,3,4,7,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [5,6,3,4,7,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,3,2,5] => [7,2,1,4,5,6,3] => [6,3,4,5,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,3,5,2] => [7,2,1,4,5,3,6] => [5,3,4,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,5,2,3] => [7,2,1,4,3,6,5] => [4,3,6,5,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [4,3,5,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,2,3,4] => [7,2,1,3,6,5,4] => [3,6,5,4,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,2,4,3] => [7,2,1,3,6,4,5] => [3,5,6,4,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [3,6,4,5,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,3,4,2] => [7,2,1,3,5,4,6] => [3,5,4,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [3,4,6,5,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [3,4,5,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,4,5,6] => [7,1,6,5,4,3,2] => [6,5,4,3,2,7,1] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,4,6,5] => [7,1,6,5,4,2,3] => [3,6,5,4,2,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,5,4,6] => [7,1,6,5,3,4,2] => [4,2,6,5,3,7,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,5,6,4] => [7,1,6,5,3,2,4] => [4,6,5,3,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,6,4,5] => [7,1,6,5,2,4,3] => [4,3,6,5,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,6,5,4] => [7,1,6,5,2,3,4] => [3,4,6,5,2,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,3,5,6] => [7,1,6,4,5,3,2] => [5,3,2,6,4,7,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,3,6,5] => [7,1,6,4,5,2,3] => [3,5,2,6,4,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,2,4,5,3,6] => [7,1,6,4,3,5,2] => [5,2,6,4,3,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,5,6,3] => [7,1,6,4,3,2,5] => [5,6,4,3,2,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,6,3,5] => [7,1,6,4,2,5,3] => [5,3,6,4,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,6,5,3] => [7,1,6,4,2,3,5] => [3,5,6,4,2,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,3,4,6] => [7,1,6,3,5,4,2] => [5,4,2,6,3,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,3,6,4] => [7,1,6,3,5,2,4] => [4,5,2,6,3,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,4,3,6] => [7,1,6,3,4,5,2] => [5,2,4,6,3,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,4,6,3] => [7,1,6,3,4,2,5] => [4,2,5,6,3,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,6,3,4] => [7,1,6,3,2,5,4] => [5,4,6,3,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,6,4,3] => [7,1,6,3,2,4,5] => [4,5,6,3,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,3,4,5] => [7,1,6,2,5,4,3] => [5,4,3,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,3,5,4] => [7,1,6,2,5,3,4] => [4,5,3,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,4,3,5] => [7,1,6,2,4,5,3] => [5,3,4,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,4,5,3] => [7,1,6,2,4,3,5] => [4,3,5,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,5,3,4] => [7,1,6,2,3,5,4] => [3,5,4,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,5,4,3] => [7,1,6,2,3,4,5] => [3,4,5,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,4,5,6] => [7,1,5,6,4,3,2] => [6,4,3,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,4,6,5] => [7,1,5,6,4,2,3] => [3,6,4,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,5,4,6] => [7,1,5,6,3,4,2] => [4,2,6,3,5,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,3,2,5,6,4] => [7,1,5,6,3,2,4] => [4,6,3,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,6,4,5] => [7,1,5,6,2,4,3] => [4,3,6,2,5,7,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,6,5,4] => [7,1,5,6,2,3,4] => [3,4,6,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,2,5,6] => [7,1,5,4,6,3,2] => [6,3,2,5,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,2,6,5] => [7,1,5,4,6,2,3] => [3,6,2,5,4,7,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,5,2,6] => [7,1,5,4,3,6,2] => [6,2,5,4,3,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,5,6,2] => [7,1,5,4,3,2,6] => [5,4,3,2,6,7,1] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,6,2,5] => [7,1,5,4,2,6,3] => [6,3,5,4,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,6,5,2] => [7,1,5,4,2,3,6] => [3,5,4,2,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,2,4,6] => [7,1,5,3,6,4,2] => [6,4,2,5,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,2,6,4] => [7,1,5,3,6,2,4] => [4,6,2,5,3,7,1] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,4,2,6] => [7,1,5,3,4,6,2] => [6,2,4,5,3,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,4,6,2] => [7,1,5,3,4,2,6] => [4,2,5,3,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,6,2,4] => [7,1,5,3,2,6,4] => [6,4,5,3,2,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,6,4,2] => [7,1,5,3,2,4,6] => [4,5,3,2,6,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,2,4,5] => [7,1,5,2,6,4,3] => [6,4,3,5,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,2,5,4] => [7,1,5,2,6,3,4] => [4,6,3,5,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,4,2,5] => [7,1,5,2,4,6,3] => [6,3,4,5,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,4,5,2] => [7,1,5,2,4,3,6] => [4,3,5,2,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,5,2,4] => [7,1,5,2,3,6,4] => [3,6,4,5,2,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,5,4,2] => [7,1,5,2,3,4,6] => [3,4,5,2,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,3,5,6] => [7,1,4,6,5,3,2] => [6,5,3,2,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,3,6,5] => [7,1,4,6,5,2,3] => [3,6,5,2,4,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [5,2,6,3,4,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [5,6,3,2,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,4,2,6,3,5] => [7,1,4,6,2,5,3] => [5,3,6,2,4,7,1] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [3,5,6,2,4,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,2,5,6] => [7,1,4,5,6,3,2] => [6,3,2,4,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,2,6,5] => [7,1,4,5,6,2,3] => [3,6,2,4,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,5,2,6] => [7,1,4,5,3,6,2] => [6,2,5,3,4,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,5,6,2] => [7,1,4,5,3,2,6] => [5,3,2,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,6,2,5] => [7,1,4,5,2,6,3] => [6,3,5,2,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,6,5,2] => [7,1,4,5,2,3,6] => [3,5,2,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,2,3,6] => [7,1,4,3,6,5,2] => [6,5,2,4,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,2,6,3] => [7,1,4,3,6,2,5] => [5,6,2,4,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [6,2,4,3,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,3,6,2] => [7,1,4,3,5,2,6] => [5,2,4,3,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,6,2,3] => [7,1,4,3,2,6,5] => [4,3,2,6,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [4,3,2,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,2,3,5] => [7,1,4,2,6,5,3] => [6,5,3,4,2,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,2,5,3] => [7,1,4,2,6,3,5] => [5,6,3,4,2,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [6,3,4,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,3,5,2] => [7,1,4,2,5,3,6] => [5,3,4,2,6,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,5,2,3] => [7,1,4,2,3,6,5] => [3,4,2,6,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [3,4,2,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,3,4,6] => [7,1,3,6,5,4,2] => [6,5,4,2,3,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [4,6,5,2,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,5,2,4,3,6] => [7,1,3,6,4,5,2] => [5,2,3,6,4,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,4,6,3] => [7,1,3,6,4,2,5] => [5,6,4,2,3,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,6,3,4] => [7,1,3,6,2,5,4] => [5,4,6,2,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,5,2,6,4,3] => [7,1,3,6,2,4,5] => [4,5,6,2,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,5,3,2,4,6] => [7,1,3,5,6,4,2] => [6,4,2,3,5,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,2,6,4] => [7,1,3,5,6,2,4] => [4,6,2,3,5,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,4,2,6] => [7,1,3,5,4,6,2] => [6,2,3,5,4,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,4,6,2] => [7,1,3,5,4,2,6] => [5,4,2,3,6,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,6,2,4] => [7,1,3,5,2,6,4] => [6,4,5,2,3,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,6,4,2] => [7,1,3,5,2,4,6] => [4,5,2,3,6,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,5,4,2,3,6] => [7,1,3,4,6,5,2] => [6,5,2,3,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,2,6,3] => [7,1,3,4,6,2,5] => [5,6,2,3,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,5,4,3,2,6] => [7,1,3,4,5,6,2] => [6,2,3,4,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,3,6,2] => [7,1,3,4,5,2,6] => [5,2,3,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,6,2,3] => [7,1,3,4,2,6,5] => [4,2,3,6,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,6,3,2] => [7,1,3,4,2,5,6] => [4,2,3,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,6,2,3,4] => [7,1,3,2,6,5,4] => [3,2,6,5,4,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,6,2,4,3] => [7,1,3,2,6,4,5] => [3,2,5,6,4,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,6,3,2,4] => [7,1,3,2,5,6,4] => [3,2,6,4,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,6,3,4,2] => [7,1,3,2,5,4,6] => [3,2,5,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [3,2,4,6,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [3,2,4,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,3,4,5] => [7,1,2,6,5,4,3] => [2,6,5,4,3,7,1] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,3,5,4] => [7,1,2,6,5,3,4] => [2,4,6,5,3,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,4,3,5] => [7,1,2,6,4,5,3] => [2,5,3,6,4,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,4,5,3] => [7,1,2,6,4,3,5] => [2,5,6,4,3,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,5,3,4] => [7,1,2,6,3,5,4] => [2,5,4,6,3,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,5,4,3] => [7,1,2,6,3,4,5] => [2,4,5,6,3,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,2,4,5] => [7,1,2,5,6,4,3] => [2,6,4,3,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,2,5,4] => [7,1,2,5,6,3,4] => [2,4,6,3,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,4,2,5] => [7,1,2,5,4,6,3] => [2,6,3,5,4,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,4,5,2] => [7,1,2,5,4,3,6] => [2,5,4,3,6,7,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,5,2,4] => [7,1,2,5,3,6,4] => [2,6,4,5,3,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,5,4,2] => [7,1,2,5,3,4,6] => [2,4,5,3,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,2,3,5] => [7,1,2,4,6,5,3] => [2,6,5,3,4,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,2,5,3] => [7,1,2,4,6,3,5] => [2,5,6,3,4,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,6,4,3,2,5] => [7,1,2,4,5,6,3] => [2,6,3,4,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,3,5,2] => [7,1,2,4,5,3,6] => [2,5,3,4,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,5,2,3] => [7,1,2,4,3,6,5] => [2,4,3,6,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,7,6,4,5,3,2] => [7,1,2,4,3,5,6] => [2,4,3,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,2,3,4] => [7,1,2,3,6,5,4] => [2,3,6,5,4,7,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,2,4,3] => [7,1,2,3,6,4,5] => [2,3,5,6,4,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,3,2,4] => [7,1,2,3,5,6,4] => [2,3,6,4,5,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,3,4,2] => [7,1,2,3,5,4,6] => [2,3,5,4,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,4,2,3] => [7,1,2,3,4,6,5] => [2,3,4,6,5,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,3,4,5,6,7] => [6,7,5,4,3,2,1] => [7,5,4,3,2,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,5,7,6] => [6,7,5,4,3,1,2] => [2,7,5,4,3,1,6] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,6,5,7] => [6,7,5,4,2,3,1] => [3,1,7,5,4,2,6] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,6,7,5] => [6,7,5,4,2,1,3] => [3,7,5,4,2,1,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,7,5,6] => [6,7,5,4,1,3,2] => [3,2,7,5,4,1,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,7,6,5] => [6,7,5,4,1,2,3] => [2,3,7,5,4,1,6] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,5,4,6,7] => [6,7,5,3,4,2,1] => [4,2,1,7,5,3,6] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,3,5,4,7,6] => [6,7,5,3,4,1,2] => [2,4,1,7,5,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)
[2,1,3,5,6,4,7] => [6,7,5,3,2,4,1] => [4,1,7,5,3,2,6] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,3,5,6,7,4] => [6,7,5,3,2,1,4] => [4,7,5,3,2,1,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,5,7,4,6] => [6,7,5,3,1,4,2] => [4,2,7,5,3,1,6] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,5,7,6,4] => [6,7,5,3,1,2,4] => [2,4,7,5,3,1,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,6,4,5,7] => [6,7,5,2,4,3,1] => [4,3,1,7,5,2,6] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,3,6,4,7,5] => [6,7,5,2,4,1,3] => [3,4,1,7,5,2,6] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,6,5,4,7] => [6,7,5,2,3,4,1] => [4,1,3,7,5,2,6] => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,3,6,5,7,4] => [6,7,5,2,3,1,4] => [3,1,4,7,5,2,6] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,6,7,4,5] => [6,7,5,2,1,4,3] => [4,3,7,5,2,1,6] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,6,7,5,4] => [6,7,5,2,1,3,4] => [3,4,7,5,2,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,4,5,6] => [6,7,5,1,4,3,2] => [4,3,2,7,5,1,6] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,3,7,4,6,5] => [6,7,5,1,4,2,3] => [3,4,2,7,5,1,6] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,3,7,5,4,6] => [6,7,5,1,3,4,2] => [4,2,3,7,5,1,6] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,3,7,5,6,4] => [6,7,5,1,3,2,4] => [3,2,4,7,5,1,6] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,6,4,5] => [6,7,5,1,2,4,3] => [2,4,3,7,5,1,6] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,6,5,4] => [6,7,5,1,2,3,4] => [2,3,4,7,5,1,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,4,3,5,6,7] => [6,7,4,5,3,2,1] => [5,3,2,1,7,4,6] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,3,5,7,6] => [6,7,4,5,3,1,2] => [2,5,3,1,7,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)
[2,1,4,3,6,5,7] => [6,7,4,5,2,3,1] => [3,1,5,2,7,4,6] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,1,4,3,6,7,5] => [6,7,4,5,2,1,3] => [3,5,2,1,7,4,6] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)
[2,1,4,3,7,5,6] => [6,7,4,5,1,3,2] => [3,2,5,1,7,4,6] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
[2,1,4,3,7,6,5] => [6,7,4,5,1,2,3] => [2,3,5,1,7,4,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,1,4,5,3,6,7] => [6,7,4,3,5,2,1] => [5,2,1,7,4,3,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,5,3,7,6] => [6,7,4,3,5,1,2] => [2,5,1,7,4,3,6] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,5,6,3,7] => [6,7,4,3,2,5,1] => [5,1,7,4,3,2,6] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,5,6,7,3] => [6,7,4,3,2,1,5] => [5,7,4,3,2,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,5,7,3,6] => [6,7,4,3,1,5,2] => [5,2,7,4,3,1,6] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,4,5,7,6,3] => [6,7,4,3,1,2,5] => [2,5,7,4,3,1,6] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,6,3,5,7] => [6,7,4,2,5,3,1] => [5,3,1,7,4,2,6] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,4,6,3,7,5] => [6,7,4,2,5,1,3] => [3,5,1,7,4,2,6] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,4,6,5,3,7] => [6,7,4,2,3,5,1] => [5,1,3,7,4,2,6] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,6,5,7,3] => [6,7,4,2,3,1,5] => [3,1,5,7,4,2,6] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,6,7,3,5] => [6,7,4,2,1,5,3] => [5,3,7,4,2,1,6] => ([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,6,7,5,3] => [6,7,4,2,1,3,5] => [3,5,7,4,2,1,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,3,5,6] => [6,7,4,1,5,3,2] => [5,3,2,7,4,1,6] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,4,7,3,6,5] => [6,7,4,1,5,2,3] => [3,5,2,7,4,1,6] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,4,7,5,3,6] => [6,7,4,1,3,5,2] => [5,2,3,7,4,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,4,7,5,6,3] => [6,7,4,1,3,2,5] => [3,2,5,7,4,1,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,6,3,5] => [6,7,4,1,2,5,3] => [2,5,3,7,4,1,6] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,4,7,6,5,3] => [6,7,4,1,2,3,5] => [2,3,5,7,4,1,6] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,3,4,6,7] => [6,7,3,5,4,2,1] => [5,4,2,1,7,3,6] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,3,4,7,6] => [6,7,3,5,4,1,2] => [2,5,4,1,7,3,6] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,3,6,4,7] => [6,7,3,5,2,4,1] => [4,1,5,2,7,3,6] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[2,1,5,3,6,7,4] => [6,7,3,5,2,1,4] => [4,5,2,1,7,3,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,5,3,7,4,6] => [6,7,3,5,1,4,2] => [4,2,5,1,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)
[2,1,5,3,7,6,4] => [6,7,3,5,1,2,4] => [2,4,5,1,7,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[2,1,5,4,3,6,7] => [6,7,3,4,5,2,1] => [5,2,1,4,7,3,6] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,5,4,3,7,6] => [6,7,3,4,5,1,2] => [2,5,1,4,7,3,6] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7)
[2,1,5,4,6,3,7] => [6,7,3,4,2,5,1] => [5,1,4,2,7,3,6] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,4,6,7,3] => [6,7,3,4,2,1,5] => [4,2,1,5,7,3,6] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)
[2,1,5,4,7,3,6] => [6,7,3,4,1,5,2] => [5,2,4,1,7,3,6] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,5,4,7,6,3] => [6,7,3,4,1,2,5] => [2,4,1,5,7,3,6] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,5,6,3,4,7] => [6,7,3,2,5,4,1] => [5,4,1,7,3,2,6] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,6,3,7,4] => [6,7,3,2,5,1,4] => [4,5,1,7,3,2,6] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,6,4,3,7] => [6,7,3,2,4,5,1] => [5,1,4,7,3,2,6] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,5,6,4,7,3] => [6,7,3,2,4,1,5] => [4,1,5,7,3,2,6] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,6,7,3,4] => [6,7,3,2,1,5,4] => [5,4,7,3,2,1,6] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,6,7,4,3] => [6,7,3,2,1,4,5] => [4,5,7,3,2,1,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,3,4,6] => [6,7,3,1,5,4,2] => [5,4,2,7,3,1,6] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,3,6,4] => [6,7,3,1,5,2,4] => [4,5,2,7,3,1,6] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,4,3,6] => [6,7,3,1,4,5,2] => [5,2,4,7,3,1,6] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,4,6,3] => [6,7,3,1,4,2,5] => [4,2,5,7,3,1,6] => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,6,3,4] => [6,7,3,1,2,5,4] => [2,5,4,7,3,1,6] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,6,4,3] => [6,7,3,1,2,4,5] => [2,4,5,7,3,1,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,3,4,5,7] => [6,7,2,5,4,3,1] => [5,4,3,1,7,2,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,3,4,7,5] => [6,7,2,5,4,1,3] => [3,5,4,1,7,2,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,3,5,4,7] => [6,7,2,5,3,4,1] => [4,1,5,3,7,2,6] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,3,5,7,4] => [6,7,2,5,3,1,4] => [4,5,3,1,7,2,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,3,7,4,5] => [6,7,2,5,1,4,3] => [4,3,5,1,7,2,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,3,7,5,4] => [6,7,2,5,1,3,4] => [3,4,5,1,7,2,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[2,1,6,4,3,5,7] => [6,7,2,4,5,3,1] => [5,3,1,4,7,2,6] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,4,3,7,5] => [6,7,2,4,5,1,3] => [3,5,1,4,7,2,6] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,6,4,5,3,7] => [6,7,2,4,3,5,1] => [5,1,4,3,7,2,6] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,4,5,7,3] => [6,7,2,4,3,1,5] => [4,3,1,5,7,2,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,6,4,7,3,5] => [6,7,2,4,1,5,3] => [5,3,4,1,7,2,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,4,7,5,3] => [6,7,2,4,1,3,5] => [3,4,1,5,7,2,6] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[2,1,6,5,3,4,7] => [6,7,2,3,5,4,1] => [5,4,1,3,7,2,6] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,5,3,7,4] => [6,7,2,3,5,1,4] => [4,5,1,3,7,2,6] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,6,5,4,3,7] => [6,7,2,3,4,5,1] => [5,1,3,4,7,2,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,6,5,4,7,3] => [6,7,2,3,4,1,5] => [4,1,3,5,7,2,6] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,5,7,3,4] => [6,7,2,3,1,5,4] => [3,1,5,4,7,2,6] => ([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,6,5,7,4,3] => [6,7,2,3,1,4,5] => [3,1,4,5,7,2,6] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,6,7,3,4,5] => [6,7,2,1,5,4,3] => [5,4,3,7,2,1,6] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,3,5,4] => [6,7,2,1,5,3,4] => [4,5,3,7,2,1,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,4,3,5] => [6,7,2,1,4,5,3] => [5,3,4,7,2,1,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,4,5,3] => [6,7,2,1,4,3,5] => [4,3,5,7,2,1,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,5,3,4] => [6,7,2,1,3,5,4] => [3,5,4,7,2,1,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,5,4,3] => [6,7,2,1,3,4,5] => [3,4,5,7,2,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,4,5,6] => [6,7,1,5,4,3,2] => [5,4,3,2,7,1,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,4,6,5] => [6,7,1,5,4,2,3] => [3,5,4,2,7,1,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,5,4,6] => [6,7,1,5,3,4,2] => [4,2,5,3,7,1,6] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,5,6,4] => [6,7,1,5,3,2,4] => [4,5,3,2,7,1,6] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,6,4,5] => [6,7,1,5,2,4,3] => [4,3,5,2,7,1,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,6,5,4] => [6,7,1,5,2,3,4] => [3,4,5,2,7,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,7,4,3,5,6] => [6,7,1,4,5,3,2] => [5,3,2,4,7,1,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,4,3,6,5] => [6,7,1,4,5,2,3] => [3,5,2,4,7,1,6] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,4,5,3,6] => [6,7,1,4,3,5,2] => [5,2,4,3,7,1,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,4,5,6,3] => [6,7,1,4,3,2,5] => [4,3,2,5,7,1,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,4,6,3,5] => [6,7,1,4,2,5,3] => [5,3,4,2,7,1,6] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,4,6,5,3] => [6,7,1,4,2,3,5] => [3,4,2,5,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,7,5,3,4,6] => [6,7,1,3,5,4,2] => [5,4,2,3,7,1,6] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,5,3,6,4] => [6,7,1,3,5,2,4] => [4,5,2,3,7,1,6] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,7,5,4,3,6] => [6,7,1,3,4,5,2] => [5,2,3,4,7,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,7,5,4,6,3] => [6,7,1,3,4,2,5] => [4,2,3,5,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,7,5,6,3,4] => [6,7,1,3,2,5,4] => [3,2,5,4,7,1,6] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,7,5,6,4,3] => [6,7,1,3,2,4,5] => [3,2,4,5,7,1,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,6,3,4,5] => [6,7,1,2,5,4,3] => [2,5,4,3,7,1,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,6,3,5,4] => [6,7,1,2,5,3,4] => [2,4,5,3,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,7,6,4,3,5] => [6,7,1,2,4,5,3] => [2,5,3,4,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,7,6,4,5,3] => [6,7,1,2,4,3,5] => [2,4,3,5,7,1,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,6,5,3,4] => [6,7,1,2,3,5,4] => [2,3,5,4,7,1,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,6,5,4,3] => [6,7,1,2,3,4,5] => [2,3,4,5,7,1,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,3,1,4,5,6,7] => [6,5,7,4,3,2,1] => [7,4,3,2,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,4,5,7,6] => [6,5,7,4,3,1,2] => [2,7,4,3,1,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,4,6,5,7] => [6,5,7,4,2,3,1] => [3,1,7,4,2,6,5] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,3,1,4,6,7,5] => [6,5,7,4,2,1,3] => [3,7,4,2,1,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,4,7,5,6] => [6,5,7,4,1,3,2] => [3,2,7,4,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,1,4,7,6,5] => [6,5,7,4,1,2,3] => [2,3,7,4,1,6,5] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,1,5,4,6,7] => [6,5,7,3,4,2,1] => [4,2,1,7,3,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[2,3,1,5,4,7,6] => [6,5,7,3,4,1,2] => [2,4,1,7,3,6,5] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
[2,3,1,5,6,4,7] => [6,5,7,3,2,4,1] => [4,1,7,3,2,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,5,6,7,4] => [6,5,7,3,2,1,4] => [4,7,3,2,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,5,7,4,6] => [6,5,7,3,1,4,2] => [4,2,7,3,1,6,5] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,5,7,6,4] => [6,5,7,3,1,2,4] => [2,4,7,3,1,6,5] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,6,4,5,7] => [6,5,7,2,4,3,1] => [4,3,1,7,2,6,5] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[2,3,1,6,4,7,5] => [6,5,7,2,4,1,3] => [3,4,1,7,2,6,5] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)
[2,3,1,6,5,4,7] => [6,5,7,2,3,4,1] => [4,1,3,7,2,6,5] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,3,1,6,5,7,4] => [6,5,7,2,3,1,4] => [3,1,4,7,2,6,5] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)
[2,3,1,6,7,4,5] => [6,5,7,2,1,4,3] => [4,3,7,2,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,1,6,7,5,4] => [6,5,7,2,1,3,4] => [3,4,7,2,1,6,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,7,4,5,6] => [6,5,7,1,4,3,2] => [4,3,2,7,1,6,5] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,3,1,7,4,6,5] => [6,5,7,1,4,2,3] => [3,4,2,7,1,6,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,1,7,5,4,6] => [6,5,7,1,3,4,2] => [4,2,3,7,1,6,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,1,7,5,6,4] => [6,5,7,1,3,2,4] => [3,2,4,7,1,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[2,3,1,7,6,4,5] => [6,5,7,1,2,4,3] => [2,4,3,7,1,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[2,3,1,7,6,5,4] => [6,5,7,1,2,3,4] => [2,3,4,7,1,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[2,3,4,1,5,6,7] => [6,5,4,7,3,2,1] => [7,3,2,1,6,5,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,1,5,7,6] => [6,5,4,7,3,1,2] => [2,7,3,1,6,5,4] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,3,4,1,6,5,7] => [6,5,4,7,2,3,1] => [3,1,7,2,6,5,4] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,1,6,7,5] => [6,5,4,7,2,1,3] => [3,7,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,1,7,5,6] => [6,5,4,7,1,3,2] => [3,2,7,1,6,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,3,4,1,7,6,5] => [6,5,4,7,1,2,3] => [2,3,7,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,3,4,5,1,6,7] => [6,5,4,3,7,2,1] => [7,2,1,6,5,4,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,5,1,7,6] => [6,5,4,3,7,1,2] => [2,7,1,6,5,4,3] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,5,6,1,7] => [6,5,4,3,2,7,1] => [7,1,6,5,4,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,5,6,7,1] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,5,7,1,6] => [6,5,4,3,1,7,2] => [7,2,6,5,4,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,5,7,6,1] => [6,5,4,3,1,2,7] => [2,6,5,4,3,1,7] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,6,1,5,7] => [6,5,4,2,7,3,1] => [7,3,1,6,5,4,2] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,6,1,7,5] => [6,5,4,2,7,1,3] => [3,7,1,6,5,4,2] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,6,5,1,7] => [6,5,4,2,3,7,1] => [7,1,3,6,5,4,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,6,5,7,1] => [6,5,4,2,3,1,7] => [3,1,6,5,4,2,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,6,7,1,5] => [6,5,4,2,1,7,3] => [7,3,6,5,4,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,6,7,5,1] => [6,5,4,2,1,3,7] => [3,6,5,4,2,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,7,1,5,6] => [6,5,4,1,7,3,2] => [7,3,2,6,5,4,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,7,1,6,5] => [6,5,4,1,7,2,3] => [3,7,2,6,5,4,1] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,7,5,1,6] => [6,5,4,1,3,7,2] => [7,2,3,6,5,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,7,5,6,1] => [6,5,4,1,3,2,7] => [3,2,6,5,4,1,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,7,6,1,5] => [6,5,4,1,2,7,3] => [2,7,3,6,5,4,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,7,6,5,1] => [6,5,4,1,2,3,7] => [2,3,6,5,4,1,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,1,4,6,7] => [6,5,3,7,4,2,1] => [7,4,2,1,6,5,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,1,4,7,6] => [6,5,3,7,4,1,2] => [2,7,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,5,1,6,4,7] => [6,5,3,7,2,4,1] => [4,1,7,2,6,5,3] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,3,5,1,6,7,4] => [6,5,3,7,2,1,4] => [4,7,2,1,6,5,3] => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,1,7,4,6] => [6,5,3,7,1,4,2] => [4,2,7,1,6,5,3] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[2,3,5,1,7,6,4] => [6,5,3,7,1,2,4] => [2,4,7,1,6,5,3] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,3,5,4,1,6,7] => [6,5,3,4,7,2,1] => [7,2,1,4,6,5,3] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,1,7,6] => [6,5,3,4,7,1,2] => [2,7,1,4,6,5,3] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,6,1,7] => [6,5,3,4,2,7,1] => [7,1,4,2,6,5,3] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,6,7,1] => [6,5,3,4,2,1,7] => [4,2,1,6,5,3,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[2,3,5,4,7,1,6] => [6,5,3,4,1,7,2] => [7,2,4,1,6,5,3] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,5,4,7,6,1] => [6,5,3,4,1,2,7] => [2,4,1,6,5,3,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[2,3,5,6,1,4,7] => [6,5,3,2,7,4,1] => [7,4,1,6,5,3,2] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,6,1,7,4] => [6,5,3,2,7,1,4] => [4,7,1,6,5,3,2] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,6,4,1,7] => [6,5,3,2,4,7,1] => [7,1,4,6,5,3,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,6,4,7,1] => [6,5,3,2,4,1,7] => [4,1,6,5,3,2,7] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,6,7,1,4] => [6,5,3,2,1,7,4] => [7,4,6,5,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,6,7,4,1] => [6,5,3,2,1,4,7] => [4,6,5,3,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,1,4,6] => [6,5,3,1,7,4,2] => [7,4,2,6,5,3,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,1,6,4] => [6,5,3,1,7,2,4] => [4,7,2,6,5,3,1] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,4,1,6] => [6,5,3,1,4,7,2] => [7,2,4,6,5,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,4,6,1] => [6,5,3,1,4,2,7] => [4,2,6,5,3,1,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,6,1,4] => [6,5,3,1,2,7,4] => [2,7,4,6,5,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,6,4,1] => [6,5,3,1,2,4,7] => [2,4,6,5,3,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,1,4,5,7] => [6,5,2,7,4,3,1] => [7,4,3,1,6,5,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,1,4,7,5] => [6,5,2,7,4,1,3] => [3,7,4,1,6,5,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,3,6,1,5,4,7] => [6,5,2,7,3,4,1] => [4,1,7,3,6,5,2] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,6,1,5,7,4] => [6,5,2,7,3,1,4] => [4,7,3,1,6,5,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,6,1,7,4,5] => [6,5,2,7,1,4,3] => [4,3,7,1,6,5,2] => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,1,7,5,4] => [6,5,2,7,1,3,4] => [3,4,7,1,6,5,2] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,3,6,4,1,5,7] => [6,5,2,4,7,3,1] => [7,3,1,4,6,5,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,4,1,7,5] => [6,5,2,4,7,1,3] => [3,7,1,4,6,5,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,4,5,1,7] => [6,5,2,4,3,7,1] => [7,1,4,3,6,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,4,5,7,1] => [6,5,2,4,3,1,7] => [4,3,1,6,5,2,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,6,4,7,1,5] => [6,5,2,4,1,7,3] => [7,3,4,1,6,5,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,4,7,5,1] => [6,5,2,4,1,3,7] => [3,4,1,6,5,2,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,6,5,1,4,7] => [6,5,2,3,7,4,1] => [7,4,1,3,6,5,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,5,1,7,4] => [6,5,2,3,7,1,4] => [4,7,1,3,6,5,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,3,6,5,4,1,7] => [6,5,2,3,4,7,1] => [7,1,3,4,6,5,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,5,4,7,1] => [6,5,2,3,4,1,7] => [4,1,3,6,5,2,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,5,7,1,4] => [6,5,2,3,1,7,4] => [3,1,7,4,6,5,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,5,7,4,1] => [6,5,2,3,1,4,7] => [3,1,4,6,5,2,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,3,6,7,1,4,5] => [6,5,2,1,7,4,3] => [7,4,3,6,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,7,1,5,4] => [6,5,2,1,7,3,4] => [4,7,3,6,5,2,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,7,4,1,5] => [6,5,2,1,4,7,3] => [7,3,4,6,5,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,7,4,5,1] => [6,5,2,1,4,3,7] => [4,3,6,5,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,7,5,1,4] => [6,5,2,1,3,7,4] => [3,7,4,6,5,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,7,5,4,1] => [6,5,2,1,3,4,7] => [3,4,6,5,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,1,4,5,6] => [6,5,1,7,4,3,2] => [7,4,3,2,6,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,1,4,6,5] => [6,5,1,7,4,2,3] => [3,7,4,2,6,5,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,1,5,4,6] => [6,5,1,7,3,4,2] => [4,2,7,3,6,5,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,7,1,5,6,4] => [6,5,1,7,3,2,4] => [4,7,3,2,6,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,1,6,4,5] => [6,5,1,7,2,4,3] => [4,3,7,2,6,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,1,6,5,4] => [6,5,1,7,2,3,4] => [3,4,7,2,6,5,1] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,4,1,5,6] => [6,5,1,4,7,3,2] => [7,3,2,4,6,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,4,1,6,5] => [6,5,1,4,7,2,3] => [3,7,2,4,6,5,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,4,5,1,6] => [6,5,1,4,3,7,2] => [7,2,4,3,6,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,4,5,6,1] => [6,5,1,4,3,2,7] => [4,3,2,6,5,1,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,4,6,1,5] => [6,5,1,4,2,7,3] => [7,3,4,2,6,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,4,6,5,1] => [6,5,1,4,2,3,7] => [3,4,2,6,5,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,5,1,4,6] => [6,5,1,3,7,4,2] => [7,4,2,3,6,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,5,1,6,4] => [6,5,1,3,7,2,4] => [4,7,2,3,6,5,1] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,5,4,1,6] => [6,5,1,3,4,7,2] => [7,2,3,4,6,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,5,4,6,1] => [6,5,1,3,4,2,7] => [4,2,3,6,5,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,5,6,1,4] => [6,5,1,3,2,7,4] => [3,2,7,4,6,5,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,5,6,4,1] => [6,5,1,3,2,4,7] => [3,2,4,6,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,3,7,6,1,4,5] => [6,5,1,2,7,4,3] => [2,7,4,3,6,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,6,1,5,4] => [6,5,1,2,7,3,4] => [2,4,7,3,6,5,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,6,4,1,5] => [6,5,1,2,4,7,3] => [2,7,3,4,6,5,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,6,4,5,1] => [6,5,1,2,4,3,7] => [2,4,3,6,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,3,7,6,5,1,4] => [6,5,1,2,3,7,4] => [2,3,7,4,6,5,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,6,5,4,1] => [6,5,1,2,3,4,7] => [2,3,4,6,5,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,3,5,6,7] => [6,4,7,5,3,2,1] => [7,5,3,2,1,6,4] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,3,5,7,6] => [6,4,7,5,3,1,2] => [2,7,5,3,1,6,4] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,3,6,5,7] => [6,4,7,5,2,3,1] => [3,1,7,5,2,6,4] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,1,3,6,7,5] => [6,4,7,5,2,1,3] => [3,7,5,2,1,6,4] => ([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,3,7,5,6] => [6,4,7,5,1,3,2] => [3,2,7,5,1,6,4] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,3,7,6,5] => [6,4,7,5,1,2,3] => [2,3,7,5,1,6,4] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,1,5,3,6,7] => [6,4,7,3,5,2,1] => [5,2,1,7,3,6,4] => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[2,4,1,5,3,7,6] => [6,4,7,3,5,1,2] => [2,5,1,7,3,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)
[2,4,1,5,6,3,7] => [6,4,7,3,2,5,1] => [5,1,7,3,2,6,4] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,5,6,7,3] => [6,4,7,3,2,1,5] => [5,7,3,2,1,6,4] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,5,7,3,6] => [6,4,7,3,1,5,2] => [5,2,7,3,1,6,4] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,5,7,6,3] => [6,4,7,3,1,2,5] => [2,5,7,3,1,6,4] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,4,1,6,3,5,7] => [6,4,7,2,5,3,1] => [5,3,1,7,2,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)
[2,4,1,6,3,7,5] => [6,4,7,2,5,1,3] => [3,5,1,7,2,6,4] => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,4,1,6,5,3,7] => [6,4,7,2,3,5,1] => [5,1,3,7,2,6,4] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,4,1,6,5,7,3] => [6,4,7,2,3,1,5] => [3,1,5,7,2,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)
[2,4,1,6,7,3,5] => [6,4,7,2,1,5,3] => [5,3,7,2,1,6,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,6,7,5,3] => [6,4,7,2,1,3,5] => [3,5,7,2,1,6,4] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[2,4,1,7,3,5,6] => [6,4,7,1,5,3,2] => [5,3,2,7,1,6,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[2,4,1,7,3,6,5] => [6,4,7,1,5,2,3] => [3,5,2,7,1,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)
[2,4,1,7,5,3,6] => [6,4,7,1,3,5,2] => [5,2,3,7,1,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[2,4,1,7,5,6,3] => [6,4,7,1,3,2,5] => [3,2,5,7,1,6,4] => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[2,4,1,7,6,3,5] => [6,4,7,1,2,5,3] => [2,5,3,7,1,6,4] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,4,1,7,6,5,3] => [6,4,7,1,2,3,5] => [2,3,5,7,1,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[2,4,3,1,5,6,7] => [6,4,5,7,3,2,1] => [7,3,2,1,5,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,3,1,5,7,6] => [6,4,5,7,3,1,2] => [2,7,3,1,5,6,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,3,1,6,5,7] => [6,4,5,7,2,3,1] => [3,1,7,2,5,6,4] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[2,4,3,1,6,7,5] => [6,4,5,7,2,1,3] => [3,7,2,1,5,6,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,7,5,6] => [6,4,5,7,1,3,2] => [3,2,7,1,5,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,3,1,7,6,5] => [6,4,5,7,1,2,3] => [2,3,7,1,5,6,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,3,5,1,6,7] => [6,4,5,3,7,2,1] => [7,2,1,5,3,6,4] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,1,7,6] => [6,4,5,3,7,1,2] => [2,7,1,5,3,6,4] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,6,1,7] => [6,4,5,3,2,7,1] => [7,1,5,3,2,6,4] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,6,7,1] => [6,4,5,3,2,1,7] => [5,3,2,1,6,4,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,7,1,6] => [6,4,5,3,1,7,2] => [7,2,5,3,1,6,4] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,7,6,1] => [6,4,5,3,1,2,7] => [2,5,3,1,6,4,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,6,1,5,7] => [6,4,5,2,7,3,1] => [7,3,1,5,2,6,4] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,3,6,1,7,5] => [6,4,5,2,7,1,3] => [3,7,1,5,2,6,4] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,6,5,1,7] => [6,4,5,2,3,7,1] => [7,1,3,5,2,6,4] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,3,6,5,7,1] => [6,4,5,2,3,1,7] => [3,1,5,2,6,4,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[2,4,3,6,7,1,5] => [6,4,5,2,1,7,3] => [7,3,5,2,1,6,4] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,6,7,5,1] => [6,4,5,2,1,3,7] => [3,5,2,1,6,4,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[2,4,3,7,1,5,6] => [6,4,5,1,7,3,2] => [7,3,2,5,1,6,4] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,3,7,1,6,5] => [6,4,5,1,7,2,3] => [3,7,2,5,1,6,4] => ([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,7,5,1,6] => [6,4,5,1,3,7,2] => [7,2,3,5,1,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,7,5,6,1] => [6,4,5,1,3,2,7] => [3,2,5,1,6,4,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[2,4,3,7,6,1,5] => [6,4,5,1,2,7,3] => [2,7,3,5,1,6,4] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,7,6,5,1] => [6,4,5,1,2,3,7] => [2,3,5,1,6,4,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[2,4,5,1,3,6,7] => [6,4,3,7,5,2,1] => [7,5,2,1,6,4,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,1,3,7,6] => [6,4,3,7,5,1,2] => [2,7,5,1,6,4,3] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,1,6,3,7] => [6,4,3,7,2,5,1] => [5,1,7,2,6,4,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,1,6,7,3] => [6,4,3,7,2,1,5] => [5,7,2,1,6,4,3] => ([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,5,1,7,3,6] => [6,4,3,7,1,5,2] => [5,2,7,1,6,4,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,1,7,6,3] => [6,4,3,7,1,2,5] => [2,5,7,1,6,4,3] => ([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,3,1,6,7] => [6,4,3,5,7,2,1] => [7,2,1,5,6,4,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,3,1,7,6] => [6,4,3,5,7,1,2] => [2,7,1,5,6,4,3] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,3,6,1,7] => [6,4,3,5,2,7,1] => [7,1,5,2,6,4,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,3,6,7,1] => [6,4,3,5,2,1,7] => [5,2,1,6,4,3,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,5,3,7,1,6] => [6,4,3,5,1,7,2] => [7,2,5,1,6,4,3] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,3,7,6,1] => [6,4,3,5,1,2,7] => [2,5,1,6,4,3,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[2,4,5,6,1,3,7] => [6,4,3,2,7,5,1] => [7,5,1,6,4,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,6,1,7,3] => [6,4,3,2,7,1,5] => [5,7,1,6,4,3,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,6,3,1,7] => [6,4,3,2,5,7,1] => [7,1,5,6,4,3,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,6,3,7,1] => [6,4,3,2,5,1,7] => [5,1,6,4,3,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,6,7,1,3] => [6,4,3,2,1,7,5] => [7,5,6,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,6,7,3,1] => [6,4,3,2,1,5,7] => [5,6,4,3,2,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,1,3,6] => [6,4,3,1,7,5,2] => [7,5,2,6,4,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,1,6,3] => [6,4,3,1,7,2,5] => [5,7,2,6,4,3,1] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,3,1,6] => [6,4,3,1,5,7,2] => [7,2,5,6,4,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,3,6,1] => [6,4,3,1,5,2,7] => [5,2,6,4,3,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,6,1,3] => [6,4,3,1,2,7,5] => [2,7,5,6,4,3,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,6,3,1] => [6,4,3,1,2,5,7] => [2,5,6,4,3,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,1,3,5,7] => [6,4,2,7,5,3,1] => [7,5,3,1,6,4,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,1,3,7,5] => [6,4,2,7,5,1,3] => [3,7,5,1,6,4,2] => ([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,1,5,3,7] => [6,4,2,7,3,5,1] => [5,1,7,3,6,4,2] => ([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,6,1,5,7,3] => [6,4,2,7,3,1,5] => [5,7,3,1,6,4,2] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,1,7,3,5] => [6,4,2,7,1,5,3] => [5,3,7,1,6,4,2] => ([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,1,7,5,3] => [6,4,2,7,1,3,5] => [3,5,7,1,6,4,2] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,6,3,1,5,7] => [6,4,2,5,7,3,1] => [7,3,1,5,6,4,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,1,7,5] => [6,4,2,5,7,1,3] => [3,7,1,5,6,4,2] => ([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,5,1,7] => [6,4,2,5,3,7,1] => [7,1,5,3,6,4,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,5,7,1] => [6,4,2,5,3,1,7] => [5,3,1,6,4,2,7] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,7,1,5] => [6,4,2,5,1,7,3] => [7,3,5,1,6,4,2] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,7,5,1] => [6,4,2,5,1,3,7] => [3,5,1,6,4,2,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,5,1,3,7] => [6,4,2,3,7,5,1] => [7,5,1,3,6,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,5,1,7,3] => [6,4,2,3,7,1,5] => [5,7,1,3,6,4,2] => ([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,4,6,5,3,1,7] => [6,4,2,3,5,7,1] => [7,1,3,5,6,4,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,5,3,7,1] => [6,4,2,3,5,1,7] => [5,1,3,6,4,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,6,5,7,1,3] => [6,4,2,3,1,7,5] => [3,1,7,5,6,4,2] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,5,7,3,1] => [6,4,2,3,1,5,7] => [3,1,5,6,4,2,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,6,7,1,3,5] => [6,4,2,1,7,5,3] => [7,5,3,6,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,7,1,5,3] => [6,4,2,1,7,3,5] => [5,7,3,6,4,2,1] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,7,3,1,5] => [6,4,2,1,5,7,3] => [7,3,5,6,4,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,7,3,5,1] => [6,4,2,1,5,3,7] => [5,3,6,4,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,7,5,1,3] => [6,4,2,1,3,7,5] => [3,7,5,6,4,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,7,5,3,1] => [6,4,2,1,3,5,7] => [3,5,6,4,2,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,1,3,5,6] => [6,4,1,7,5,3,2] => [7,5,3,2,6,4,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,1,3,6,5] => [6,4,1,7,5,2,3] => [3,7,5,2,6,4,1] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,1,5,3,6] => [6,4,1,7,3,5,2] => [5,2,7,3,6,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,7,1,5,6,3] => [6,4,1,7,3,2,5] => [5,7,3,2,6,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,1,6,3,5] => [6,4,1,7,2,5,3] => [5,3,7,2,6,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,1,6,5,3] => [6,4,1,7,2,3,5] => [3,5,7,2,6,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,7,3,1,5,6] => [6,4,1,5,7,3,2] => [7,3,2,5,6,4,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,3,1,6,5] => [6,4,1,5,7,2,3] => [3,7,2,5,6,4,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,3,5,1,6] => [6,4,1,5,3,7,2] => [7,2,5,3,6,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,3,5,6,1] => [6,4,1,5,3,2,7] => [5,3,2,6,4,1,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,3,6,1,5] => [6,4,1,5,2,7,3] => [7,3,5,2,6,4,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,3,6,5,1] => [6,4,1,5,2,3,7] => [3,5,2,6,4,1,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,7,5,1,3,6] => [6,4,1,3,7,5,2] => [7,5,2,3,6,4,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,5,1,6,3] => [6,4,1,3,7,2,5] => [5,7,2,3,6,4,1] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,5,3,1,6] => [6,4,1,3,5,7,2] => [7,2,3,5,6,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,5,3,6,1] => [6,4,1,3,5,2,7] => [5,2,3,6,4,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,5,6,1,3] => [6,4,1,3,2,7,5] => [3,2,7,5,6,4,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,5,6,3,1] => [6,4,1,3,2,5,7] => [3,2,5,6,4,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,1,3,5] => [6,4,1,2,7,5,3] => [2,7,5,3,6,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,1,5,3] => [6,4,1,2,7,3,5] => [2,5,7,3,6,4,1] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,3,1,5] => [6,4,1,2,5,7,3] => [2,7,3,5,6,4,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,3,5,1] => [6,4,1,2,5,3,7] => [2,5,3,6,4,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,5,1,3] => [6,4,1,2,3,7,5] => [2,3,7,5,6,4,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,5,3,1] => [6,4,1,2,3,5,7] => [2,3,5,6,4,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,3,4,6,7] => [6,3,7,5,4,2,1] => [7,5,4,2,1,6,3] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,3,4,7,6] => [6,3,7,5,4,1,2] => [2,7,5,4,1,6,3] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,1,3,6,4,7] => [6,3,7,5,2,4,1] => [4,1,7,5,2,6,3] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,1,3,6,7,4] => [6,3,7,5,2,1,4] => [4,7,5,2,1,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,5,1,3,7,4,6] => [6,3,7,5,1,4,2] => [4,2,7,5,1,6,3] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,3,7,6,4] => [6,3,7,5,1,2,4] => [2,4,7,5,1,6,3] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,4,3,6,7] => [6,3,7,4,5,2,1] => [5,2,1,7,4,6,3] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,4,3,7,6] => [6,3,7,4,5,1,2] => [2,5,1,7,4,6,3] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,1,4,6,3,7] => [6,3,7,4,2,5,1] => [5,1,7,4,2,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,4,6,7,3] => [6,3,7,4,2,1,5] => [5,7,4,2,1,6,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,1,4,7,3,6] => [6,3,7,4,1,5,2] => [5,2,7,4,1,6,3] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[2,5,1,4,7,6,3] => [6,3,7,4,1,2,5] => [2,5,7,4,1,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,6,3,4,7] => [6,3,7,2,5,4,1] => [5,4,1,7,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[2,5,1,6,3,7,4] => [6,3,7,2,5,1,4] => [4,5,1,7,2,6,3] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[2,5,1,6,4,3,7] => [6,3,7,2,4,5,1] => [5,1,4,7,2,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,5,1,6,4,7,3] => [6,3,7,2,4,1,5] => [4,1,5,7,2,6,3] => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,1,6,7,3,4] => [6,3,7,2,1,5,4] => [5,4,7,2,1,6,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[2,5,1,6,7,4,3] => [6,3,7,2,1,4,5] => [4,5,7,2,1,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[2,5,1,7,3,4,6] => [6,3,7,1,5,4,2] => [5,4,2,7,1,6,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,7,3,6,4] => [6,3,7,1,5,2,4] => [4,5,2,7,1,6,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,7,4,3,6] => [6,3,7,1,4,5,2] => [5,2,4,7,1,6,3] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,7,4,6,3] => [6,3,7,1,4,2,5] => [4,2,5,7,1,6,3] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,7,6,3,4] => [6,3,7,1,2,5,4] => [2,5,4,7,1,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,7,6,4,3] => [6,3,7,1,2,4,5] => [2,4,5,7,1,6,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[2,5,3,1,4,6,7] => [6,3,5,7,4,2,1] => [7,4,2,1,5,6,3] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,1,4,7,6] => [6,3,5,7,4,1,2] => [2,7,4,1,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,3,1,6,4,7] => [6,3,5,7,2,4,1] => [4,1,7,2,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,3,1,6,7,4] => [6,3,5,7,2,1,4] => [4,7,2,1,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[2,5,3,1,7,4,6] => [6,3,5,7,1,4,2] => [4,2,7,1,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[2,5,3,1,7,6,4] => [6,3,5,7,1,2,4] => [2,4,7,1,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,3,4,1,6,7] => [6,3,5,4,7,2,1] => [7,2,1,5,4,6,3] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,4,1,7,6] => [6,3,5,4,7,1,2] => [2,7,1,5,4,6,3] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,4,6,1,7] => [6,3,5,4,2,7,1] => [7,1,5,4,2,6,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,4,6,7,1] => [6,3,5,4,2,1,7] => [5,4,2,1,6,3,7] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,4,7,1,6] => [6,3,5,4,1,7,2] => [7,2,5,4,1,6,3] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,3,4,7,6,1] => [6,3,5,4,1,2,7] => [2,5,4,1,6,3,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,6,1,4,7] => [6,3,5,2,7,4,1] => [7,4,1,5,2,6,3] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,6,1,7,4] => [6,3,5,2,7,1,4] => [4,7,1,5,2,6,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,5,3,6,4,1,7] => [6,3,5,2,4,7,1] => [7,1,4,5,2,6,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,6,4,7,1] => [6,3,5,2,4,1,7] => [4,1,5,2,6,3,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,3,6,7,1,4] => [6,3,5,2,1,7,4] => [7,4,5,2,1,6,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,6,7,4,1] => [6,3,5,2,1,4,7] => [4,5,2,1,6,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,3,7,1,4,6] => [6,3,5,1,7,4,2] => [7,4,2,5,1,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,3,7,1,6,4] => [6,3,5,1,7,2,4] => [4,7,2,5,1,6,3] => ([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,3,7,4,1,6] => [6,3,5,1,4,7,2] => [7,2,4,5,1,6,3] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,3,7,4,6,1] => [6,3,5,1,4,2,7] => [4,2,5,1,6,3,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,7,6,1,4] => [6,3,5,1,2,7,4] => [2,7,4,5,1,6,3] => ([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,3,7,6,4,1] => [6,3,5,1,2,4,7] => [2,4,5,1,6,3,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,1,3,6,7] => [6,3,4,7,5,2,1] => [7,5,2,1,4,6,3] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,1,3,7,6] => [6,3,4,7,5,1,2] => [2,7,5,1,4,6,3] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,1,6,3,7] => [6,3,4,7,2,5,1] => [5,1,7,2,4,6,3] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,1,6,7,3] => [6,3,4,7,2,1,5] => [5,7,2,1,4,6,3] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,5,4,1,7,3,6] => [6,3,4,7,1,5,2] => [5,2,7,1,4,6,3] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,1,7,6,3] => [6,3,4,7,1,2,5] => [2,5,7,1,4,6,3] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,4,3,1,6,7] => [6,3,4,5,7,2,1] => [7,2,1,4,5,6,3] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,3,1,7,6] => [6,3,4,5,7,1,2] => [2,7,1,4,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,4,3,6,1,7] => [6,3,4,5,2,7,1] => [7,1,5,2,4,6,3] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,3,6,7,1] => [6,3,4,5,2,1,7] => [5,2,1,4,6,3,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,3,7,1,6] => [6,3,4,5,1,7,2] => [7,2,5,1,4,6,3] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,3,7,6,1] => [6,3,4,5,1,2,7] => [2,5,1,4,6,3,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,6,1,3,7] => [6,3,4,2,7,5,1] => [7,5,1,4,2,6,3] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,6,1,7,3] => [6,3,4,2,7,1,5] => [5,7,1,4,2,6,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,6,3,1,7] => [6,3,4,2,5,7,1] => [7,1,4,2,5,6,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,6,3,7,1] => [6,3,4,2,5,1,7] => [5,1,4,2,6,3,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,6,7,1,3] => [6,3,4,2,1,7,5] => [4,2,1,7,5,6,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,4,6,7,3,1] => [6,3,4,2,1,5,7] => [4,2,1,5,6,3,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,5,4,7,1,3,6] => [6,3,4,1,7,5,2] => [7,5,2,4,1,6,3] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,7,1,6,3] => [6,3,4,1,7,2,5] => [5,7,2,4,1,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,4,7,3,1,6] => [6,3,4,1,5,7,2] => [7,2,4,1,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,7,3,6,1] => [6,3,4,1,5,2,7] => [5,2,4,1,6,3,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,4,7,6,1,3] => [6,3,4,1,2,7,5] => [2,4,1,7,5,6,3] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[2,5,4,7,6,3,1] => [6,3,4,1,2,5,7] => [2,4,1,5,6,3,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[2,5,6,1,3,4,7] => [6,3,2,7,5,4,1] => [7,5,4,1,6,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,1,3,7,4] => [6,3,2,7,5,1,4] => [4,7,5,1,6,3,2] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,1,4,3,7] => [6,3,2,7,4,5,1] => [5,1,7,4,6,3,2] => ([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,1,4,7,3] => [6,3,2,7,4,1,5] => [5,7,4,1,6,3,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,1,7,3,4] => [6,3,2,7,1,5,4] => [5,4,7,1,6,3,2] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,1,7,4,3] => [6,3,2,7,1,4,5] => [4,5,7,1,6,3,2] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,3,1,4,7] => [6,3,2,5,7,4,1] => [7,4,1,5,6,3,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,3,1,7,4] => [6,3,2,5,7,1,4] => [4,7,1,5,6,3,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,6,3,4,1,7] => [6,3,2,5,4,7,1] => [7,1,5,4,6,3,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,3,4,7,1] => [6,3,2,5,4,1,7] => [5,4,1,6,3,2,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,3,7,1,4] => [6,3,2,5,1,7,4] => [7,4,5,1,6,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,3,7,4,1] => [6,3,2,5,1,4,7] => [4,5,1,6,3,2,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,4,1,3,7] => [6,3,2,4,7,5,1] => [7,5,1,4,6,3,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,4,1,7,3] => [6,3,2,4,7,1,5] => [5,7,1,4,6,3,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,6,4,3,1,7] => [6,3,2,4,5,7,1] => [7,1,4,5,6,3,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,4,3,7,1] => [6,3,2,4,5,1,7] => [5,1,4,6,3,2,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,4,7,1,3] => [6,3,2,4,1,7,5] => [4,1,7,5,6,3,2] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,4,7,3,1] => [6,3,2,4,1,5,7] => [4,1,5,6,3,2,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,1,3,4] => [6,3,2,1,7,5,4] => [7,5,4,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,1,4,3] => [6,3,2,1,7,4,5] => [5,7,4,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,3,1,4] => [6,3,2,1,5,7,4] => [7,4,5,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,3,4,1] => [6,3,2,1,5,4,7] => [5,4,6,3,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,4,1,3] => [6,3,2,1,4,7,5] => [4,7,5,6,3,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,4,3,1] => [6,3,2,1,4,5,7] => [4,5,6,3,2,1,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,1,3,4,6] => [6,3,1,7,5,4,2] => [7,5,4,2,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,1,3,6,4] => [6,3,1,7,5,2,4] => [4,7,5,2,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,1,4,3,6] => [6,3,1,7,4,5,2] => [5,2,7,4,6,3,1] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,1,4,6,3] => [6,3,1,7,4,2,5] => [5,7,4,2,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,1,6,3,4] => [6,3,1,7,2,5,4] => [5,4,7,2,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,1,6,4,3] => [6,3,1,7,2,4,5] => [4,5,7,2,6,3,1] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,3,1,4,6] => [6,3,1,5,7,4,2] => [7,4,2,5,6,3,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,3,1,6,4] => [6,3,1,5,7,2,4] => [4,7,2,5,6,3,1] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,3,4,1,6] => [6,3,1,5,4,7,2] => [7,2,5,4,6,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,3,4,6,1] => [6,3,1,5,4,2,7] => [5,4,2,6,3,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,3,6,1,4] => [6,3,1,5,2,7,4] => [7,4,5,2,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,3,6,4,1] => [6,3,1,5,2,4,7] => [4,5,2,6,3,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,1,3,6] => [6,3,1,4,7,5,2] => [7,5,2,4,6,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,1,6,3] => [6,3,1,4,7,2,5] => [5,7,2,4,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,3,1,6] => [6,3,1,4,5,7,2] => [7,2,4,5,6,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,3,6,1] => [6,3,1,4,5,2,7] => [5,2,4,6,3,1,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,6,1,3] => [6,3,1,4,2,7,5] => [4,2,7,5,6,3,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,6,3,1] => [6,3,1,4,2,5,7] => [4,2,5,6,3,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,1,3,4] => [6,3,1,2,7,5,4] => [2,7,5,4,6,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,1,4,3] => [6,3,1,2,7,4,5] => [2,5,7,4,6,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,3,1,4] => [6,3,1,2,5,7,4] => [2,7,4,5,6,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,3,4,1] => [6,3,1,2,5,4,7] => [2,5,4,6,3,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,4,1,3] => [6,3,1,2,4,7,5] => [2,4,7,5,6,3,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,4,3,1] => [6,3,1,2,4,5,7] => [2,4,5,6,3,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,3,4,5,7] => [6,2,7,5,4,3,1] => [7,5,4,3,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,3,4,7,5] => [6,2,7,5,4,1,3] => [3,7,5,4,1,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,6,1,3,5,4,7] => [6,2,7,5,3,4,1] => [4,1,7,5,3,6,2] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,3,5,7,4] => [6,2,7,5,3,1,4] => [4,7,5,3,1,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,1,3,7,4,5] => [6,2,7,5,1,4,3] => [4,3,7,5,1,6,2] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,6,1,3,7,5,4] => [6,2,7,5,1,3,4] => [3,4,7,5,1,6,2] => ([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,6,1,4,3,5,7] => [6,2,7,4,5,3,1] => [5,3,1,7,4,6,2] => ([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,4,3,7,5] => [6,2,7,4,5,1,3] => [3,5,1,7,4,6,2] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,4,5,3,7] => [6,2,7,4,3,5,1] => [5,1,7,4,3,6,2] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,1,4,5,7,3] => [6,2,7,4,3,1,5] => [5,7,4,3,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,4,7,3,5] => [6,2,7,4,1,5,3] => [5,3,7,4,1,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,1,4,7,5,3] => [6,2,7,4,1,3,5] => [3,5,7,4,1,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,5,3,4,7] => [6,2,7,3,5,4,1] => [5,4,1,7,3,6,2] => ([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,5,3,7,4] => [6,2,7,3,5,1,4] => [4,5,1,7,3,6,2] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,5,4,3,7] => [6,2,7,3,4,5,1] => [5,1,4,7,3,6,2] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,5,4,7,3] => [6,2,7,3,4,1,5] => [4,1,5,7,3,6,2] => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,5,7,3,4] => [6,2,7,3,1,5,4] => [5,4,7,3,1,6,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,1,5,7,4,3] => [6,2,7,3,1,4,5] => [4,5,7,3,1,6,2] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,1,7,3,4,5] => [6,2,7,1,5,4,3] => [5,4,3,7,1,6,2] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,7,3,5,4] => [6,2,7,1,5,3,4] => [4,5,3,7,1,6,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[2,6,1,7,4,3,5] => [6,2,7,1,4,5,3] => [5,3,4,7,1,6,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[2,6,1,7,4,5,3] => [6,2,7,1,4,3,5] => [4,3,5,7,1,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,7,5,3,4] => [6,2,7,1,3,5,4] => [3,5,4,7,1,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,7,5,4,3] => [6,2,7,1,3,4,5] => [3,4,5,7,1,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)
[2,6,3,1,4,5,7] => [6,2,5,7,4,3,1] => [7,4,3,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,1,4,7,5] => [6,2,5,7,4,1,3] => [3,7,4,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,1,5,4,7] => [6,2,5,7,3,4,1] => [4,1,7,3,5,6,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,3,1,5,7,4] => [6,2,5,7,3,1,4] => [4,7,3,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,3,1,7,4,5] => [6,2,5,7,1,4,3] => [4,3,7,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[2,6,3,1,7,5,4] => [6,2,5,7,1,3,4] => [3,4,7,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[2,6,3,4,1,5,7] => [6,2,5,4,7,3,1] => [7,3,1,5,4,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,4,1,7,5] => [6,2,5,4,7,1,3] => [3,7,1,5,4,6,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,4,5,1,7] => [6,2,5,4,3,7,1] => [7,1,5,4,3,6,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,4,5,7,1] => [6,2,5,4,3,1,7] => [5,4,3,1,6,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,4,7,1,5] => [6,2,5,4,1,7,3] => [7,3,5,4,1,6,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,3,4,7,5,1] => [6,2,5,4,1,3,7] => [3,5,4,1,6,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,5,1,4,7] => [6,2,5,3,7,4,1] => [7,4,1,5,3,6,2] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,1,7,4] => [6,2,5,3,7,1,4] => [4,7,1,5,3,6,2] => ([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,4,1,7] => [6,2,5,3,4,7,1] => [7,1,4,5,3,6,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,4,7,1] => [6,2,5,3,4,1,7] => [4,1,5,3,6,2,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,7,1,4] => [6,2,5,3,1,7,4] => [7,4,5,3,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,7,4,1] => [6,2,5,3,1,4,7] => [4,5,3,1,6,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,7,1,4,5] => [6,2,5,1,7,4,3] => [7,4,3,5,1,6,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,3,7,1,5,4] => [6,2,5,1,7,3,4] => [4,7,3,5,1,6,2] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,7,4,1,5] => [6,2,5,1,4,7,3] => [7,3,4,5,1,6,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,3,7,4,5,1] => [6,2,5,1,4,3,7] => [4,3,5,1,6,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,7,5,1,4] => [6,2,5,1,3,7,4] => [3,7,4,5,1,6,2] => ([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,3,7,5,4,1] => [6,2,5,1,3,4,7] => [3,4,5,1,6,2,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,1,3,5,7] => [6,2,4,7,5,3,1] => [7,5,3,1,4,6,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,1,3,7,5] => [6,2,4,7,5,1,3] => [3,7,5,1,4,6,2] => ([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,1,5,3,7] => [6,2,4,7,3,5,1] => [5,1,7,3,4,6,2] => ([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,4,1,5,7,3] => [6,2,4,7,3,1,5] => [5,7,3,1,4,6,2] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,1,7,3,5] => [6,2,4,7,1,5,3] => [5,3,7,1,4,6,2] => ([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,4,1,7,5,3] => [6,2,4,7,1,3,5] => [3,5,7,1,4,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,6,4,3,1,5,7] => [6,2,4,5,7,3,1] => [7,3,1,4,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,3,1,7,5] => [6,2,4,5,7,1,3] => [3,7,1,4,5,6,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,3,5,1,7] => [6,2,4,5,3,7,1] => [7,1,5,3,4,6,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,3,5,7,1] => [6,2,4,5,3,1,7] => [5,3,1,4,6,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,4,3,7,1,5] => [6,2,4,5,1,7,3] => [7,3,5,1,4,6,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,3,7,5,1] => [6,2,4,5,1,3,7] => [3,5,1,4,6,2,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,4,5,1,3,7] => [6,2,4,3,7,5,1] => [7,5,1,4,3,6,2] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,5,1,7,3] => [6,2,4,3,7,1,5] => [5,7,1,4,3,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,6,4,5,3,1,7] => [6,2,4,3,5,7,1] => [7,1,4,3,5,6,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,5,3,7,1] => [6,2,4,3,5,1,7] => [5,1,4,3,6,2,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,5,7,1,3] => [6,2,4,3,1,7,5] => [4,3,1,7,5,6,2] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,5,7,3,1] => [6,2,4,3,1,5,7] => [4,3,1,5,6,2,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,4,7,1,3,5] => [6,2,4,1,7,5,3] => [7,5,3,4,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,7,1,5,3] => [6,2,4,1,7,3,5] => [5,7,3,4,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,7,3,1,5] => [6,2,4,1,5,7,3] => [7,3,4,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,7,3,5,1] => [6,2,4,1,5,3,7] => [5,3,4,1,6,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,7,5,1,3] => [6,2,4,1,3,7,5] => [3,4,1,7,5,6,2] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,7,5,3,1] => [6,2,4,1,3,5,7] => [3,4,1,5,6,2,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,5,1,3,4,7] => [6,2,3,7,5,4,1] => [7,5,4,1,3,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,1,3,7,4] => [6,2,3,7,5,1,4] => [4,7,5,1,3,6,2] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,1,4,3,7] => [6,2,3,7,4,5,1] => [5,1,3,7,4,6,2] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,1,4,7,3] => [6,2,3,7,4,1,5] => [5,7,4,1,3,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,5,1,7,3,4] => [6,2,3,7,1,5,4] => [5,4,7,1,3,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,6,5,1,7,4,3] => [6,2,3,7,1,4,5] => [4,5,7,1,3,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,1,4,7] => [6,2,3,5,7,4,1] => [7,4,1,3,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,1,7,4] => [6,2,3,5,7,1,4] => [4,7,1,3,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,4,1,7] => [6,2,3,5,4,7,1] => [7,1,3,5,4,6,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,4,7,1] => [6,2,3,5,4,1,7] => [5,4,1,3,6,2,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,7,1,4] => [6,2,3,5,1,7,4] => [7,4,5,1,3,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,7,4,1] => [6,2,3,5,1,4,7] => [4,5,1,3,6,2,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,5,4,1,3,7] => [6,2,3,4,7,5,1] => [7,5,1,3,4,6,2] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,4,1,7,3] => [6,2,3,4,7,1,5] => [5,7,1,3,4,6,2] => ([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,5,4,3,1,7] => [6,2,3,4,5,7,1] => [7,1,3,4,5,6,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,4,3,7,1] => [6,2,3,4,5,1,7] => [5,1,3,4,6,2,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,4,7,1,3] => [6,2,3,4,1,7,5] => [4,1,3,7,5,6,2] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,6,5,4,7,3,1] => [6,2,3,4,1,5,7] => [4,1,3,5,6,2,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,5,7,1,3,4] => [6,2,3,1,7,5,4] => [3,1,7,5,4,6,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,7,1,4,3] => [6,2,3,1,7,4,5] => [3,1,5,7,4,6,2] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,7,3,1,4] => [6,2,3,1,5,7,4] => [3,1,7,4,5,6,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,5,7,3,4,1] => [6,2,3,1,5,4,7] => [3,1,5,4,6,2,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,6,5,7,4,1,3] => [6,2,3,1,4,7,5] => [3,1,4,7,5,6,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,5,7,4,3,1] => [6,2,3,1,4,5,7] => [3,1,4,5,6,2,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,7,1,3,4,5] => [6,2,1,7,5,4,3] => [7,5,4,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,1,3,5,4] => [6,2,1,7,5,3,4] => [4,7,5,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,1,4,3,5] => [6,2,1,7,4,5,3] => [5,3,7,4,6,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,1,4,5,3] => [6,2,1,7,4,3,5] => [5,7,4,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,1,5,3,4] => [6,2,1,7,3,5,4] => [5,4,7,3,6,2,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,1,5,4,3] => [6,2,1,7,3,4,5] => [4,5,7,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,3,1,4,5] => [6,2,1,5,7,4,3] => [7,4,3,5,6,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,3,1,5,4] => [6,2,1,5,7,3,4] => [4,7,3,5,6,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,3,4,1,5] => [6,2,1,5,4,7,3] => [7,3,5,4,6,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,3,4,5,1] => [6,2,1,5,4,3,7] => [5,4,3,6,2,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,3,5,1,4] => [6,2,1,5,3,7,4] => [7,4,5,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,3,5,4,1] => [6,2,1,5,3,4,7] => [4,5,3,6,2,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,4,1,3,5] => [6,2,1,4,7,5,3] => [7,5,3,4,6,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,4,1,5,3] => [6,2,1,4,7,3,5] => [5,7,3,4,6,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,4,3,1,5] => [6,2,1,4,5,7,3] => [7,3,4,5,6,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,4,3,5,1] => [6,2,1,4,5,3,7] => [5,3,4,6,2,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,4,5,1,3] => [6,2,1,4,3,7,5] => [4,3,7,5,6,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,4,5,3,1] => [6,2,1,4,3,5,7] => [4,3,5,6,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,1,3,4] => [6,2,1,3,7,5,4] => [3,7,5,4,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,1,4,3] => [6,2,1,3,7,4,5] => [3,5,7,4,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,3,1,4] => [6,2,1,3,5,7,4] => [3,7,4,5,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,3,4,1] => [6,2,1,3,5,4,7] => [3,5,4,6,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,4,1,3] => [6,2,1,3,4,7,5] => [3,4,7,5,6,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,4,3,1] => [6,2,1,3,4,5,7] => [3,4,5,6,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,4,5,6] => [6,1,7,5,4,3,2] => [7,5,4,3,2,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,4,6,5] => [6,1,7,5,4,2,3] => [3,7,5,4,2,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,5,4,6] => [6,1,7,5,3,4,2] => [4,2,7,5,3,6,1] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,5,6,4] => [6,1,7,5,3,2,4] => [4,7,5,3,2,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,6,4,5] => [6,1,7,5,2,4,3] => [4,3,7,5,2,6,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,6,5,4] => [6,1,7,5,2,3,4] => [3,4,7,5,2,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,4,3,5,6] => [6,1,7,4,5,3,2] => [5,3,2,7,4,6,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,1,4,3,6,5] => [6,1,7,4,5,2,3] => [3,5,2,7,4,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,1,4,5,3,6] => [6,1,7,4,3,5,2] => [5,2,7,4,3,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,1,4,5,6,3] => [6,1,7,4,3,2,5] => [5,7,4,3,2,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,4,6,3,5] => [6,1,7,4,2,5,3] => [5,3,7,4,2,6,1] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,4,6,5,3] => [6,1,7,4,2,3,5] => [3,5,7,4,2,6,1] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,5,3,4,6] => [6,1,7,3,5,4,2] => [5,4,2,7,3,6,1] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,5,3,6,4] => [6,1,7,3,5,2,4] => [4,5,2,7,3,6,1] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,5,4,3,6] => [6,1,7,3,4,5,2] => [5,2,4,7,3,6,1] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,5,4,6,3] => [6,1,7,3,4,2,5] => [4,2,5,7,3,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,5,6,3,4] => [6,1,7,3,2,5,4] => [5,4,7,3,2,6,1] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,5,6,4,3] => [6,1,7,3,2,4,5] => [4,5,7,3,2,6,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,6,3,4,5] => [6,1,7,2,5,4,3] => [5,4,3,7,2,6,1] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,6,3,5,4] => [6,1,7,2,5,3,4] => [4,5,3,7,2,6,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,6,4,3,5] => [6,1,7,2,4,5,3] => [5,3,4,7,2,6,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,6,4,5,3] => [6,1,7,2,4,3,5] => [4,3,5,7,2,6,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,6,5,3,4] => [6,1,7,2,3,5,4] => [3,5,4,7,2,6,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,6,5,4,3] => [6,1,7,2,3,4,5] => [3,4,5,7,2,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,1,4,5,6] => [6,1,5,7,4,3,2] => [7,4,3,2,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,1,4,6,5] => [6,1,5,7,4,2,3] => [3,7,4,2,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,1,5,4,6] => [6,1,5,7,3,4,2] => [4,2,7,3,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,1,5,6,4] => [6,1,5,7,3,2,4] => [4,7,3,2,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,1,6,4,5] => [6,1,5,7,2,4,3] => [4,3,7,2,5,6,1] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,1,6,5,4] => [6,1,5,7,2,3,4] => [3,4,7,2,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,4,1,5,6] => [6,1,5,4,7,3,2] => [7,3,2,5,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,4,1,6,5] => [6,1,5,4,7,2,3] => [3,7,2,5,4,6,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,4,5,1,6] => [6,1,5,4,3,7,2] => [7,2,5,4,3,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,4,5,6,1] => [6,1,5,4,3,2,7] => [5,4,3,2,6,1,7] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,4,6,1,5] => [6,1,5,4,2,7,3] => [7,3,5,4,2,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,4,6,5,1] => [6,1,5,4,2,3,7] => [3,5,4,2,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,1,4,6] => [6,1,5,3,7,4,2] => [7,4,2,5,3,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,1,6,4] => [6,1,5,3,7,2,4] => [4,7,2,5,3,6,1] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,4,1,6] => [6,1,5,3,4,7,2] => [7,2,4,5,3,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,4,6,1] => [6,1,5,3,4,2,7] => [4,2,5,3,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,6,1,4] => [6,1,5,3,2,7,4] => [7,4,5,3,2,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,6,4,1] => [6,1,5,3,2,4,7] => [4,5,3,2,6,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,1,4,5] => [6,1,5,2,7,4,3] => [7,4,3,5,2,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,1,5,4] => [6,1,5,2,7,3,4] => [4,7,3,5,2,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,4,1,5] => [6,1,5,2,4,7,3] => [7,3,4,5,2,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,4,5,1] => [6,1,5,2,4,3,7] => [4,3,5,2,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,5,1,4] => [6,1,5,2,3,7,4] => [3,7,4,5,2,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,5,4,1] => [6,1,5,2,3,4,7] => [3,4,5,2,6,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,1,3,5,6] => [6,1,4,7,5,3,2] => [7,5,3,2,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,1,3,6,5] => [6,1,4,7,5,2,3] => [3,7,5,2,4,6,1] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,1,5,3,6] => [6,1,4,7,3,5,2] => [5,2,7,3,4,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,4,1,5,6,3] => [6,1,4,7,3,2,5] => [5,7,3,2,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,4,1,6,3,5] => [6,1,4,7,2,5,3] => [5,3,7,2,4,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,4,1,6,5,3] => [6,1,4,7,2,3,5] => [3,5,7,2,4,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,1,5,6] => [6,1,4,5,7,3,2] => [7,3,2,4,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,1,6,5] => [6,1,4,5,7,2,3] => [3,7,2,4,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,5,1,6] => [6,1,4,5,3,7,2] => [7,2,5,3,4,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,5,6,1] => [6,1,4,5,3,2,7] => [5,3,2,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,6,1,5] => [6,1,4,5,2,7,3] => [7,3,5,2,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,6,5,1] => [6,1,4,5,2,3,7] => [3,5,2,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,1,3,6] => [6,1,4,3,7,5,2] => [7,5,2,4,3,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,1,6,3] => [6,1,4,3,7,2,5] => [5,7,2,4,3,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,4,5,3,1,6] => [6,1,4,3,5,7,2] => [7,2,4,3,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,3,6,1] => [6,1,4,3,5,2,7] => [5,2,4,3,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,6,1,3] => [6,1,4,3,2,7,5] => [4,3,2,7,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,7,4,5,6,3,1] => [6,1,4,3,2,5,7] => [4,3,2,5,6,1,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,1,3,5] => [6,1,4,2,7,5,3] => [7,5,3,4,2,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,1,5,3] => [6,1,4,2,7,3,5] => [5,7,3,4,2,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,3,1,5] => [6,1,4,2,5,7,3] => [7,3,4,2,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,3,5,1] => [6,1,4,2,5,3,7] => [5,3,4,2,6,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,5,1,3] => [6,1,4,2,3,7,5] => [3,4,2,7,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,7,4,6,5,3,1] => [6,1,4,2,3,5,7] => [3,4,2,5,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,3,4,6] => [6,1,3,7,5,4,2] => [7,5,4,2,3,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,3,6,4] => [6,1,3,7,5,2,4] => [4,7,5,2,3,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,4,3,6] => [6,1,3,7,4,5,2] => [5,2,3,7,4,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,4,6,3] => [6,1,3,7,4,2,5] => [5,7,4,2,3,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,6,3,4] => [6,1,3,7,2,5,4] => [5,4,7,2,3,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,6,4,3] => [6,1,3,7,2,4,5] => [4,5,7,2,3,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,1,4,6] => [6,1,3,5,7,4,2] => [7,4,2,3,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,1,6,4] => [6,1,3,5,7,2,4] => [4,7,2,3,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,4,1,6] => [6,1,3,5,4,7,2] => [7,2,3,5,4,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,4,6,1] => [6,1,3,5,4,2,7] => [5,4,2,3,6,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,6,1,4] => [6,1,3,5,2,7,4] => [7,4,5,2,3,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,6,4,1] => [6,1,3,5,2,4,7] => [4,5,2,3,6,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,5,4,1,3,6] => [6,1,3,4,7,5,2] => [7,5,2,3,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,1,6,3] => [6,1,3,4,7,2,5] => [5,7,2,3,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,5,4,3,1,6] => [6,1,3,4,5,7,2] => [7,2,3,4,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,3,6,1] => [6,1,3,4,5,2,7] => [5,2,3,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,6,1,3] => [6,1,3,4,2,7,5] => [4,2,3,7,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,7,5,4,6,3,1] => [6,1,3,4,2,5,7] => [4,2,3,5,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,6,1,3,4] => [6,1,3,2,7,5,4] => [3,2,7,5,4,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,6,1,4,3] => [6,1,3,2,7,4,5] => [3,2,5,7,4,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,6,3,1,4] => [6,1,3,2,5,7,4] => [3,2,7,4,5,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,6,3,4,1] => [6,1,3,2,5,4,7] => [3,2,5,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,7,5,6,4,1,3] => [6,1,3,2,4,7,5] => [3,2,4,7,5,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,6,4,3,1] => [6,1,3,2,4,5,7] => [3,2,4,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,3,4,5] => [6,1,2,7,5,4,3] => [2,7,5,4,3,6,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,3,5,4] => [6,1,2,7,5,3,4] => [2,4,7,5,3,6,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,4,3,5] => [6,1,2,7,4,5,3] => [2,5,3,7,4,6,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,6,1,4,5,3] => [6,1,2,7,4,3,5] => [2,5,7,4,3,6,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,5,3,4] => [6,1,2,7,3,5,4] => [2,5,4,7,3,6,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,5,4,3] => [6,1,2,7,3,4,5] => [2,4,5,7,3,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,1,4,5] => [6,1,2,5,7,4,3] => [2,7,4,3,5,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,1,5,4] => [6,1,2,5,7,3,4] => [2,4,7,3,5,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,4,1,5] => [6,1,2,5,4,7,3] => [2,7,3,5,4,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,4,5,1] => [6,1,2,5,4,3,7] => [2,5,4,3,6,1,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,5,1,4] => [6,1,2,5,3,7,4] => [2,7,4,5,3,6,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,5,4,1] => [6,1,2,5,3,4,7] => [2,4,5,3,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,1,3,5] => [6,1,2,4,7,5,3] => [2,7,5,3,4,6,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,1,5,3] => [6,1,2,4,7,3,5] => [2,5,7,3,4,6,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,3,1,5] => [6,1,2,4,5,7,3] => [2,7,3,4,5,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,3,5,1] => [6,1,2,4,5,3,7] => [2,5,3,4,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,5,1,3] => [6,1,2,4,3,7,5] => [2,4,3,7,5,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,5,3,1] => [6,1,2,4,3,5,7] => [2,4,3,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,1,3,4] => [6,1,2,3,7,5,4] => [2,3,7,5,4,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,1,4,3] => [6,1,2,3,7,4,5] => [2,3,5,7,4,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,3,1,4] => [6,1,2,3,5,7,4] => [2,3,7,4,5,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,3,4,1] => [6,1,2,3,5,4,7] => [2,3,5,4,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,4,1,3] => [6,1,2,3,4,7,5] => [2,3,4,7,5,6,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,4,3,1] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,1,2,4,5,6,7] => [5,7,6,4,3,2,1] => [7,6,4,3,2,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,4,5,7,6] => [5,7,6,4,3,1,2] => [2,7,6,4,3,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,4,6,5,7] => [5,7,6,4,2,3,1] => [3,1,7,6,4,2,5] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,4,6,7,5] => [5,7,6,4,2,1,3] => [3,7,6,4,2,1,5] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,4,7,5,6] => [5,7,6,4,1,3,2] => [3,2,7,6,4,1,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,4,7,6,5] => [5,7,6,4,1,2,3] => [2,3,7,6,4,1,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,5,4,6,7] => [5,7,6,3,4,2,1] => [4,2,1,7,6,3,5] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[3,1,2,5,4,7,6] => [5,7,6,3,4,1,2] => [2,4,1,7,6,3,5] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)
[3,1,2,5,6,4,7] => [5,7,6,3,2,4,1] => [4,1,7,6,3,2,5] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,5,6,7,4] => [5,7,6,3,2,1,4] => [4,7,6,3,2,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,5,7,4,6] => [5,7,6,3,1,4,2] => [4,2,7,6,3,1,5] => ([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,5,7,6,4] => [5,7,6,3,1,2,4] => [2,4,7,6,3,1,5] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,6,4,5,7] => [5,7,6,2,4,3,1] => [4,3,1,7,6,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,6,4,7,5] => [5,7,6,2,4,1,3] => [3,4,1,7,6,2,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,2,6,5,4,7] => [5,7,6,2,3,4,1] => [4,1,3,7,6,2,5] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,1,2,6,5,7,4] => [5,7,6,2,3,1,4] => [3,1,4,7,6,2,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,2,6,7,4,5] => [5,7,6,2,1,4,3] => [4,3,7,6,2,1,5] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,6,7,5,4] => [5,7,6,2,1,3,4] => [3,4,7,6,2,1,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,7,4,5,6] => [5,7,6,1,4,3,2] => [4,3,2,7,6,1,5] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,7,4,6,5] => [5,7,6,1,4,2,3] => [3,4,2,7,6,1,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,7,5,4,6] => [5,7,6,1,3,4,2] => [4,2,3,7,6,1,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,7,5,6,4] => [5,7,6,1,3,2,4] => [3,2,4,7,6,1,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,2,7,6,4,5] => [5,7,6,1,2,4,3] => [2,4,3,7,6,1,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,2,7,6,5,4] => [5,7,6,1,2,3,4] => [2,3,4,7,6,1,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,4,2,5,6,7] => [5,7,4,6,3,2,1] => [6,3,2,1,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,2,5,7,6] => [5,7,4,6,3,1,2] => [2,6,3,1,7,4,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,2,6,5,7] => [5,7,4,6,2,3,1] => [3,1,6,2,7,4,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[3,1,4,2,6,7,5] => [5,7,4,6,2,1,3] => [3,6,2,1,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,4,2,7,5,6] => [5,7,4,6,1,3,2] => [3,2,6,1,7,4,5] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)
[3,1,4,2,7,6,5] => [5,7,4,6,1,2,3] => [2,3,6,1,7,4,5] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[3,1,4,5,2,6,7] => [5,7,4,3,6,2,1] => [6,2,1,7,4,3,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,4,5,2,7,6] => [5,7,4,3,6,1,2] => [2,6,1,7,4,3,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,5,6,2,7] => [5,7,4,3,2,6,1] => [6,1,7,4,3,2,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,5,6,7,2] => [5,7,4,3,2,1,6] => [6,7,4,3,2,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,5,7,2,6] => [5,7,4,3,1,6,2] => [6,2,7,4,3,1,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,1,4,5,7,6,2] => [5,7,4,3,1,2,6] => [2,6,7,4,3,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,4,6,2,5,7] => [5,7,4,2,6,3,1] => [6,3,1,7,4,2,5] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,4,6,2,7,5] => [5,7,4,2,6,1,3] => [3,6,1,7,4,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,6,5,2,7] => [5,7,4,2,3,6,1] => [6,1,3,7,4,2,5] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,4,6,5,7,2] => [5,7,4,2,3,1,6] => [3,1,6,7,4,2,5] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,4,6,7,2,5] => [5,7,4,2,1,6,3] => [6,3,7,4,2,1,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,4,6,7,5,2] => [5,7,4,2,1,3,6] => [3,6,7,4,2,1,5] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,7,2,5,6] => [5,7,4,1,6,3,2] => [6,3,2,7,4,1,5] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,1,4,7,2,6,5] => [5,7,4,1,6,2,3] => [3,6,2,7,4,1,5] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,7,5,2,6] => [5,7,4,1,3,6,2] => [6,2,3,7,4,1,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,7,5,6,2] => [5,7,4,1,3,2,6] => [3,2,6,7,4,1,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,7,6,2,5] => [5,7,4,1,2,6,3] => [2,6,3,7,4,1,5] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,7,6,5,2] => [5,7,4,1,2,3,6] => [2,3,6,7,4,1,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,5,2,4,6,7] => [5,7,3,6,4,2,1] => [6,4,2,1,7,3,5] => ([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,2,4,7,6] => [5,7,3,6,4,1,2] => [2,6,4,1,7,3,5] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,5,2,6,4,7] => [5,7,3,6,2,4,1] => [4,1,6,2,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,1,5,2,6,7,4] => [5,7,3,6,2,1,4] => [4,6,2,1,7,3,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,1,5,2,7,4,6] => [5,7,3,6,1,4,2] => [4,2,6,1,7,3,5] => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,5,2,7,6,4] => [5,7,3,6,1,2,4] => [2,4,6,1,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,1,5,4,2,6,7] => [5,7,3,4,6,2,1] => [6,2,1,4,7,3,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,5,4,2,7,6] => [5,7,3,4,6,1,2] => [2,6,1,4,7,3,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,5,4,6,2,7] => [5,7,3,4,2,6,1] => [6,1,4,2,7,3,5] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,4,6,7,2] => [5,7,3,4,2,1,6] => [4,2,1,6,7,3,5] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)
[3,1,5,4,7,2,6] => [5,7,3,4,1,6,2] => [6,2,4,1,7,3,5] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,4,7,6,2] => [5,7,3,4,1,2,6] => [2,4,1,6,7,3,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[3,1,5,6,2,4,7] => [5,7,3,2,6,4,1] => [6,4,1,7,3,2,5] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,6,2,7,4] => [5,7,3,2,6,1,4] => [4,6,1,7,3,2,5] => ([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,5,6,4,2,7] => [5,7,3,2,4,6,1] => [6,1,4,7,3,2,5] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,5,6,4,7,2] => [5,7,3,2,4,1,6] => [4,1,6,7,3,2,5] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,6,7,2,4] => [5,7,3,2,1,6,4] => [6,4,7,3,2,1,5] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,6,7,4,2] => [5,7,3,2,1,4,6] => [4,6,7,3,2,1,5] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,2,4,6] => [5,7,3,1,6,4,2] => [6,4,2,7,3,1,5] => ([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,2,6,4] => [5,7,3,1,6,2,4] => [4,6,2,7,3,1,5] => ([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,4,2,6] => [5,7,3,1,4,6,2] => [6,2,4,7,3,1,5] => ([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,4,6,2] => [5,7,3,1,4,2,6] => [4,2,6,7,3,1,5] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,6,2,4] => [5,7,3,1,2,6,4] => [2,6,4,7,3,1,5] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,6,4,2] => [5,7,3,1,2,4,6] => [2,4,6,7,3,1,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,2,4,5,7] => [5,7,2,6,4,3,1] => [6,4,3,1,7,2,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,2,4,7,5] => [5,7,2,6,4,1,3] => [3,6,4,1,7,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,2,5,4,7] => [5,7,2,6,3,4,1] => [4,1,6,3,7,2,5] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,6,2,5,7,4] => [5,7,2,6,3,1,4] => [4,6,3,1,7,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,2,7,4,5] => [5,7,2,6,1,4,3] => [4,3,6,1,7,2,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,1,6,2,7,5,4] => [5,7,2,6,1,3,4] => [3,4,6,1,7,2,5] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[3,1,6,4,2,5,7] => [5,7,2,4,6,3,1] => [6,3,1,4,7,2,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,4,2,7,5] => [5,7,2,4,6,1,3] => [3,6,1,4,7,2,5] => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,6,4,5,2,7] => [5,7,2,4,3,6,1] => [6,1,4,3,7,2,5] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,4,5,7,2] => [5,7,2,4,3,1,6] => [4,3,1,6,7,2,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,6,4,7,2,5] => [5,7,2,4,1,6,3] => [6,3,4,1,7,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,4,7,5,2] => [5,7,2,4,1,3,6] => [3,4,1,6,7,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,1,6,5,2,4,7] => [5,7,2,3,6,4,1] => [6,4,1,3,7,2,5] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,5,2,7,4] => [5,7,2,3,6,1,4] => [4,6,1,3,7,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,5,4,2,7] => [5,7,2,3,4,6,1] => [6,1,3,4,7,2,5] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,5,4,7,2] => [5,7,2,3,4,1,6] => [4,1,3,6,7,2,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,5,7,2,4] => [5,7,2,3,1,6,4] => [3,1,6,4,7,2,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,6,5,7,4,2] => [5,7,2,3,1,4,6] => [3,1,4,6,7,2,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[3,1,6,7,2,4,5] => [5,7,2,1,6,4,3] => [6,4,3,7,2,1,5] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,7,2,5,4] => [5,7,2,1,6,3,4] => [4,6,3,7,2,1,5] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,7,4,2,5] => [5,7,2,1,4,6,3] => [6,3,4,7,2,1,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,6,7,4,5,2] => [5,7,2,1,4,3,6] => [4,3,6,7,2,1,5] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,7,5,2,4] => [5,7,2,1,3,6,4] => [3,6,4,7,2,1,5] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,7,5,4,2] => [5,7,2,1,3,4,6] => [3,4,6,7,2,1,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,2,4,5,6] => [5,7,1,6,4,3,2] => [6,4,3,2,7,1,5] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,2,4,6,5] => [5,7,1,6,4,2,3] => [3,6,4,2,7,1,5] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,2,5,4,6] => [5,7,1,6,3,4,2] => [4,2,6,3,7,1,5] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,2,5,6,4] => [5,7,1,6,3,2,4] => [4,6,3,2,7,1,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,2,6,4,5] => [5,7,1,6,2,4,3] => [4,3,6,2,7,1,5] => ([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,2,6,5,4] => [5,7,1,6,2,3,4] => [3,4,6,2,7,1,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[3,1,7,4,2,5,6] => [5,7,1,4,6,3,2] => [6,3,2,4,7,1,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,4,2,6,5] => [5,7,1,4,6,2,3] => [3,6,2,4,7,1,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,4,5,2,6] => [5,7,1,4,3,6,2] => [6,2,4,3,7,1,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,4,5,6,2] => [5,7,1,4,3,2,6] => [4,3,2,6,7,1,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,4,6,2,5] => [5,7,1,4,2,6,3] => [6,3,4,2,7,1,5] => ([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,4,6,5,2] => [5,7,1,4,2,3,6] => [3,4,2,6,7,1,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,2,4,6] => [5,7,1,3,6,4,2] => [6,4,2,3,7,1,5] => ([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,2,6,4] => [5,7,1,3,6,2,4] => [4,6,2,3,7,1,5] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,4,2,6] => [5,7,1,3,4,6,2] => [6,2,3,4,7,1,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,4,6,2] => [5,7,1,3,4,2,6] => [4,2,3,6,7,1,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,6,2,4] => [5,7,1,3,2,6,4] => [3,2,6,4,7,1,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,7,5,6,4,2] => [5,7,1,3,2,4,6] => [3,2,4,6,7,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,1,7,6,2,4,5] => [5,7,1,2,6,4,3] => [2,6,4,3,7,1,5] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,6,2,5,4] => [5,7,1,2,6,3,4] => [2,4,6,3,7,1,5] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,6,4,2,5] => [5,7,1,2,4,6,3] => [2,6,3,4,7,1,5] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,6,4,5,2] => [5,7,1,2,4,3,6] => [2,4,3,6,7,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,1,7,6,5,2,4] => [5,7,1,2,3,6,4] => [2,3,6,4,7,1,5] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,7,6,5,4,2] => [5,7,1,2,3,4,6] => [2,3,4,6,7,1,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,1,4,5,6,7] => [5,6,7,4,3,2,1] => [7,4,3,2,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,4,5,7,6] => [5,6,7,4,3,1,2] => [2,7,4,3,1,5,6] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,4,6,5,7] => [5,6,7,4,2,3,1] => [3,1,7,4,2,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,1,4,6,7,5] => [5,6,7,4,2,1,3] => [3,7,4,2,1,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,4,7,5,6] => [5,6,7,4,1,3,2] => [3,2,7,4,1,5,6] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,1,4,7,6,5] => [5,6,7,4,1,2,3] => [2,3,7,4,1,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,1,5,4,6,7] => [5,6,7,3,4,2,1] => [4,2,1,7,3,5,6] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[3,2,1,5,4,7,6] => [5,6,7,3,4,1,2] => [2,4,1,7,3,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,1,5,6,4,7] => [5,6,7,3,2,4,1] => [4,1,7,3,2,5,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,1,5,6,7,4] => [5,6,7,3,2,1,4] => [4,7,3,2,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,5,7,4,6] => [5,6,7,3,1,4,2] => [4,2,7,3,1,5,6] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,1,5,7,6,4] => [5,6,7,3,1,2,4] => [2,4,7,3,1,5,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,6,4,5,7] => [5,6,7,2,4,3,1] => [4,3,1,7,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)
[3,2,1,6,4,7,5] => [5,6,7,2,4,1,3] => [3,4,1,7,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[3,2,1,6,5,4,7] => [5,6,7,2,3,4,1] => [4,1,3,7,2,5,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,1,6,5,7,4] => [5,6,7,2,3,1,4] => [3,1,4,7,2,5,6] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[3,2,1,6,7,4,5] => [5,6,7,2,1,4,3] => [4,3,7,2,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,1,6,7,5,4] => [5,6,7,2,1,3,4] => [3,4,7,2,1,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,1,7,4,5,6] => [5,6,7,1,4,3,2] => [4,3,2,7,1,5,6] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,1,7,4,6,5] => [5,6,7,1,4,2,3] => [3,4,2,7,1,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,1,7,5,4,6] => [5,6,7,1,3,4,2] => [4,2,3,7,1,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,1,7,5,6,4] => [5,6,7,1,3,2,4] => [3,2,4,7,1,5,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,1,7,6,4,5] => [5,6,7,1,2,4,3] => [2,4,3,7,1,5,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,1,7,6,5,4] => [5,6,7,1,2,3,4] => [2,3,4,7,1,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,2,4,1,5,6,7] => [5,6,4,7,3,2,1] => [7,3,2,1,6,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,4,1,5,7,6] => [5,6,4,7,3,1,2] => [2,7,3,1,6,4,5] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,4,1,6,5,7] => [5,6,4,7,2,3,1] => [3,1,7,2,6,4,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[3,2,4,1,6,7,5] => [5,6,4,7,2,1,3] => [3,7,2,1,6,4,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,1,7,5,6] => [5,6,4,7,1,3,2] => [3,2,7,1,6,4,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,4,1,7,6,5] => [5,6,4,7,1,2,3] => [2,3,7,1,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,4,5,1,6,7] => [5,6,4,3,7,2,1] => [7,2,1,6,4,3,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,1,7,6] => [5,6,4,3,7,1,2] => [2,7,1,6,4,3,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,6,1,7] => [5,6,4,3,2,7,1] => [7,1,6,4,3,2,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,6,7,1] => [5,6,4,3,2,1,7] => [6,4,3,2,1,5,7] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,7,1,6] => [5,6,4,3,1,7,2] => [7,2,6,4,3,1,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,7,6,1] => [5,6,4,3,1,2,7] => [2,6,4,3,1,5,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,6,1,5,7] => [5,6,4,2,7,3,1] => [7,3,1,6,4,2,5] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,6,1,7,5] => [5,6,4,2,7,1,3] => [3,7,1,6,4,2,5] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,6,5,1,7] => [5,6,4,2,3,7,1] => [7,1,3,6,4,2,5] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,6,5,7,1] => [5,6,4,2,3,1,7] => [3,1,6,4,2,5,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,6,7,1,5] => [5,6,4,2,1,7,3] => [7,3,6,4,2,1,5] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,6,7,5,1] => [5,6,4,2,1,3,7] => [3,6,4,2,1,5,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,7,1,5,6] => [5,6,4,1,7,3,2] => [7,3,2,6,4,1,5] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,7,1,6,5] => [5,6,4,1,7,2,3] => [3,7,2,6,4,1,5] => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,7,5,1,6] => [5,6,4,1,3,7,2] => [7,2,3,6,4,1,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,7,5,6,1] => [5,6,4,1,3,2,7] => [3,2,6,4,1,5,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,7,6,1,5] => [5,6,4,1,2,7,3] => [2,7,3,6,4,1,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,7,6,5,1] => [5,6,4,1,2,3,7] => [2,3,6,4,1,5,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,5,1,4,6,7] => [5,6,3,7,4,2,1] => [7,4,2,1,6,3,5] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,5,1,4,7,6] => [5,6,3,7,4,1,2] => [2,7,4,1,6,3,5] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,5,1,6,4,7] => [5,6,3,7,2,4,1] => [4,1,7,2,6,3,5] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[3,2,5,1,6,7,4] => [5,6,3,7,2,1,4] => [4,7,2,1,6,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,1,7,4,6] => [5,6,3,7,1,4,2] => [4,2,7,1,6,3,5] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)
[3,2,5,1,7,6,4] => [5,6,3,7,1,2,4] => [2,4,7,1,6,3,5] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,5,4,1,6,7] => [5,6,3,4,7,2,1] => [7,2,1,4,6,3,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,4,1,7,6] => [5,6,3,4,7,1,2] => [2,7,1,4,6,3,5] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,4,6,1,7] => [5,6,3,4,2,7,1] => [7,1,4,2,6,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,5,4,6,7,1] => [5,6,3,4,2,1,7] => [4,2,1,6,3,5,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[3,2,5,4,7,1,6] => [5,6,3,4,1,7,2] => [7,2,4,1,6,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,5,4,7,6,1] => [5,6,3,4,1,2,7] => [2,4,1,6,3,5,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[3,2,5,6,1,4,7] => [5,6,3,2,7,4,1] => [7,4,1,6,3,2,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,5,6,1,7,4] => [5,6,3,2,7,1,4] => [4,7,1,6,3,2,5] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,6,4,1,7] => [5,6,3,2,4,7,1] => [7,1,4,6,3,2,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,6,4,7,1] => [5,6,3,2,4,1,7] => [4,1,6,3,2,5,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,6,7,1,4] => [5,6,3,2,1,7,4] => [7,4,6,3,2,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,6,7,4,1] => [5,6,3,2,1,4,7] => [4,6,3,2,1,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,7,1,4,6] => [5,6,3,1,7,4,2] => [7,4,2,6,3,1,5] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,7,1,6,4] => [5,6,3,1,7,2,4] => [4,7,2,6,3,1,5] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,7,4,1,6] => [5,6,3,1,4,7,2] => [7,2,4,6,3,1,5] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,7,4,6,1] => [5,6,3,1,4,2,7] => [4,2,6,3,1,5,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,5,7,6,1,4] => [5,6,3,1,2,7,4] => [2,7,4,6,3,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,7,6,4,1] => [5,6,3,1,2,4,7] => [2,4,6,3,1,5,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,1,4,5,7] => [5,6,2,7,4,3,1] => [7,4,3,1,6,2,5] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,1,4,7,5] => [5,6,2,7,4,1,3] => [3,7,4,1,6,2,5] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,1,5,4,7] => [5,6,2,7,3,4,1] => [4,1,7,3,6,2,5] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,2,6,1,5,7,4] => [5,6,2,7,3,1,4] => [4,7,3,1,6,2,5] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,1,7,4,5] => [5,6,2,7,1,4,3] => [4,3,7,1,6,2,5] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,6,1,7,5,4] => [5,6,2,7,1,3,4] => [3,4,7,1,6,2,5] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,4,1,5,7] => [5,6,2,4,7,3,1] => [7,3,1,4,6,2,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,4,1,7,5] => [5,6,2,4,7,1,3] => [3,7,1,4,6,2,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,4,5,1,7] => [5,6,2,4,3,7,1] => [7,1,4,3,6,2,5] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,4,5,7,1] => [5,6,2,4,3,1,7] => [4,3,1,6,2,5,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[3,2,6,4,7,1,5] => [5,6,2,4,1,7,3] => [7,3,4,1,6,2,5] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,4,7,5,1] => [5,6,2,4,1,3,7] => [3,4,1,6,2,5,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[3,2,6,5,1,4,7] => [5,6,2,3,7,4,1] => [7,4,1,3,6,2,5] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,5,1,7,4] => [5,6,2,3,7,1,4] => [4,7,1,3,6,2,5] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,6,5,4,1,7] => [5,6,2,3,4,7,1] => [7,1,3,4,6,2,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,5,4,7,1] => [5,6,2,3,4,1,7] => [4,1,3,6,2,5,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,5,7,1,4] => [5,6,2,3,1,7,4] => [3,1,7,4,6,2,5] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,5,7,4,1] => [5,6,2,3,1,4,7] => [3,1,4,6,2,5,7] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[3,2,6,7,1,4,5] => [5,6,2,1,7,4,3] => [7,4,3,6,2,1,5] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,7,1,5,4] => [5,6,2,1,7,3,4] => [4,7,3,6,2,1,5] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,7,4,1,5] => [5,6,2,1,4,7,3] => [7,3,4,6,2,1,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,7,4,5,1] => [5,6,2,1,4,3,7] => [4,3,6,2,1,5,7] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,7,5,1,4] => [5,6,2,1,3,7,4] => [3,7,4,6,2,1,5] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,7,5,4,1] => [5,6,2,1,3,4,7] => [3,4,6,2,1,5,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,1,4,5,6] => [5,6,1,7,4,3,2] => [7,4,3,2,6,1,5] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,1,4,6,5] => [5,6,1,7,4,2,3] => [3,7,4,2,6,1,5] => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,1,5,4,6] => [5,6,1,7,3,4,2] => [4,2,7,3,6,1,5] => ([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,1,5,6,4] => [5,6,1,7,3,2,4] => [4,7,3,2,6,1,5] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,1,6,4,5] => [5,6,1,7,2,4,3] => [4,3,7,2,6,1,5] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,1,6,5,4] => [5,6,1,7,2,3,4] => [3,4,7,2,6,1,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,4,1,5,6] => [5,6,1,4,7,3,2] => [7,3,2,4,6,1,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,4,1,6,5] => [5,6,1,4,7,2,3] => [3,7,2,4,6,1,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,4,5,1,6] => [5,6,1,4,3,7,2] => [7,2,4,3,6,1,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,4,5,6,1] => [5,6,1,4,3,2,7] => [4,3,2,6,1,5,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,4,6,1,5] => [5,6,1,4,2,7,3] => [7,3,4,2,6,1,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,4,6,5,1] => [5,6,1,4,2,3,7] => [3,4,2,6,1,5,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,7,5,1,4,6] => [5,6,1,3,7,4,2] => [7,4,2,3,6,1,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,5,1,6,4] => [5,6,1,3,7,2,4] => [4,7,2,3,6,1,5] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,5,4,1,6] => [5,6,1,3,4,7,2] => [7,2,3,4,6,1,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,5,4,6,1] => [5,6,1,3,4,2,7] => [4,2,3,6,1,5,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,7,5,6,1,4] => [5,6,1,3,2,7,4] => [3,2,7,4,6,1,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,7,5,6,4,1] => [5,6,1,3,2,4,7] => [3,2,4,6,1,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,7,6,1,4,5] => [5,6,1,2,7,4,3] => [2,7,4,3,6,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,6,1,5,4] => [5,6,1,2,7,3,4] => [2,4,7,3,6,1,5] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,6,4,1,5] => [5,6,1,2,4,7,3] => [2,7,3,4,6,1,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,7,6,4,5,1] => [5,6,1,2,4,3,7] => [2,4,3,6,1,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,7,6,5,1,4] => [5,6,1,2,3,7,4] => [2,3,7,4,6,1,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,7,6,5,4,1] => [5,6,1,2,3,4,7] => [2,3,4,6,1,5,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,4,1,2,5,6,7] => [5,4,7,6,3,2,1] => [7,6,3,2,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,2,5,7,6] => [5,4,7,6,3,1,2] => [2,7,6,3,1,5,4] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,2,6,5,7] => [5,4,7,6,2,3,1] => [3,1,7,6,2,5,4] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,2,6,7,5] => [5,4,7,6,2,1,3] => [3,7,6,2,1,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,2,7,5,6] => [5,4,7,6,1,3,2] => [3,2,7,6,1,5,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,4,1,2,7,6,5] => [5,4,7,6,1,2,3] => [2,3,7,6,1,5,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,4,1,5,2,6,7] => [5,4,7,3,6,2,1] => [6,2,1,7,3,5,4] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,4,1,5,2,7,6] => [5,4,7,3,6,1,2] => [2,6,1,7,3,5,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,5,6,2,7] => [5,4,7,3,2,6,1] => [6,1,7,3,2,5,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,5,6,7,2] => [5,4,7,3,2,1,6] => [6,7,3,2,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,5,7,2,6] => [5,4,7,3,1,6,2] => [6,2,7,3,1,5,4] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,4,1,5,7,6,2] => [5,4,7,3,1,2,6] => [2,6,7,3,1,5,4] => ([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,1,6,2,5,7] => [5,4,7,2,6,3,1] => [6,3,1,7,2,5,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,6,2,7,5] => [5,4,7,2,6,1,3] => [3,6,1,7,2,5,4] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,4,1,6,5,2,7] => [5,4,7,2,3,6,1] => [6,1,3,7,2,5,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,4,1,6,5,7,2] => [5,4,7,2,3,1,6] => [3,1,6,7,2,5,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,1,6,7,2,5] => [5,4,7,2,1,6,3] => [6,3,7,2,1,5,4] => ([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,4,1,6,7,5,2] => [5,4,7,2,1,3,6] => [3,6,7,2,1,5,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,7,2,5,6] => [5,4,7,1,6,3,2] => [6,3,2,7,1,5,4] => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,7,2,6,5] => [5,4,7,1,6,2,3] => [3,6,2,7,1,5,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[3,4,1,7,5,2,6] => [5,4,7,1,3,6,2] => [6,2,3,7,1,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[3,4,1,7,5,6,2] => [5,4,7,1,3,2,6] => [3,2,6,7,1,5,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,1,7,6,2,5] => [5,4,7,1,2,6,3] => [2,6,3,7,1,5,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[3,4,1,7,6,5,2] => [5,4,7,1,2,3,6] => [2,3,6,7,1,5,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,2,1,5,6,7] => [5,4,6,7,3,2,1] => [7,3,2,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,1,5,7,6] => [5,4,6,7,3,1,2] => [2,7,3,1,5,4,6] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,1,6,5,7] => [5,4,6,7,2,3,1] => [3,1,7,2,5,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[3,4,2,1,6,7,5] => [5,4,6,7,2,1,3] => [3,7,2,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,4,2,1,7,5,6] => [5,4,6,7,1,3,2] => [3,2,7,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[3,4,2,1,7,6,5] => [5,4,6,7,1,2,3] => [2,3,7,1,5,4,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,4,2,5,1,6,7] => [5,4,6,3,7,2,1] => [7,2,1,6,3,5,4] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,5,1,7,6] => [5,4,6,3,7,1,2] => [2,7,1,6,3,5,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,5,6,1,7] => [5,4,6,3,2,7,1] => [7,1,6,3,2,5,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,5,6,7,1] => [5,4,6,3,2,1,7] => [6,3,2,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,5,7,1,6] => [5,4,6,3,1,7,2] => [7,2,6,3,1,5,4] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,5,7,6,1] => [5,4,6,3,1,2,7] => [2,6,3,1,5,4,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,6,1,5,7] => [5,4,6,2,7,3,1] => [7,3,1,6,2,5,4] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,2,6,1,7,5] => [5,4,6,2,7,1,3] => [3,7,1,6,2,5,4] => ([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,6,5,1,7] => [5,4,6,2,3,7,1] => [7,1,3,6,2,5,4] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,6,5,7,1] => [5,4,6,2,3,1,7] => [3,1,6,2,5,4,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[3,4,2,6,7,1,5] => [5,4,6,2,1,7,3] => [7,3,6,2,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,6,7,5,1] => [5,4,6,2,1,3,7] => [3,6,2,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,4,2,7,1,5,6] => [5,4,6,1,7,3,2] => [7,3,2,6,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,7,1,6,5] => [5,4,6,1,7,2,3] => [3,7,2,6,1,5,4] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,7,5,1,6] => [5,4,6,1,3,7,2] => [7,2,3,6,1,5,4] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,7,5,6,1] => [5,4,6,1,3,2,7] => [3,2,6,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[3,4,2,7,6,1,5] => [5,4,6,1,2,7,3] => [2,7,3,6,1,5,4] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,7,6,5,1] => [5,4,6,1,2,3,7] => [2,3,6,1,5,4,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,4,5,1,2,6,7] => [5,4,3,7,6,2,1] => [7,6,2,1,5,4,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,1,2,7,6] => [5,4,3,7,6,1,2] => [2,7,6,1,5,4,3] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,1,6,2,7] => [5,4,3,7,2,6,1] => [6,1,7,2,5,4,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,1,6,7,2] => [5,4,3,7,2,1,6] => [6,7,2,1,5,4,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,1,7,2,6] => [5,4,3,7,1,6,2] => [6,2,7,1,5,4,3] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,1,7,6,2] => [5,4,3,7,1,2,6] => [2,6,7,1,5,4,3] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,2,1,6,7] => [5,4,3,6,7,2,1] => [7,2,1,5,4,3,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,2,1,7,6] => [5,4,3,6,7,1,2] => [2,7,1,5,4,3,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,2,6,1,7] => [5,4,3,6,2,7,1] => [7,1,6,2,5,4,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,2,6,7,1] => [5,4,3,6,2,1,7] => [6,2,1,5,4,3,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,2,7,1,6] => [5,4,3,6,1,7,2] => [7,2,6,1,5,4,3] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,2,7,6,1] => [5,4,3,6,1,2,7] => [2,6,1,5,4,3,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,6,1,2,7] => [5,4,3,2,7,6,1] => [7,6,1,5,4,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,6,1,7,2] => [5,4,3,2,7,1,6] => [6,7,1,5,4,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,6,2,1,7] => [5,4,3,2,6,7,1] => [7,1,5,4,3,2,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,6,2,7,1] => [5,4,3,2,6,1,7] => [6,1,5,4,3,2,7] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,6,7,1,2] => [5,4,3,2,1,7,6] => [5,4,3,2,1,7,6] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,6,7,2,1] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,7,1,2,6] => [5,4,3,1,7,6,2] => [7,6,2,5,4,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,7,1,6,2] => [5,4,3,1,7,2,6] => [6,7,2,5,4,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,5,7,2,1,6] => [5,4,3,1,6,7,2] => [7,2,5,4,3,1,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,7,2,6,1] => [5,4,3,1,6,2,7] => [6,2,5,4,3,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,7,6,1,2] => [5,4,3,1,2,7,6] => [2,5,4,3,1,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,7,6,2,1] => [5,4,3,1,2,6,7] => [2,5,4,3,1,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,1,2,5,7] => [5,4,2,7,6,3,1] => [7,6,3,1,5,4,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,1,2,7,5] => [5,4,2,7,6,1,3] => [3,7,6,1,5,4,2] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,1,5,2,7] => [5,4,2,7,3,6,1] => [6,1,7,3,5,4,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,4,6,1,5,7,2] => [5,4,2,7,3,1,6] => [6,7,3,1,5,4,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,1,7,2,5] => [5,4,2,7,1,6,3] => [6,3,7,1,5,4,2] => ([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,4,6,1,7,5,2] => [5,4,2,7,1,3,6] => [3,6,7,1,5,4,2] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,6,2,1,5,7] => [5,4,2,6,7,3,1] => [7,3,1,5,4,2,6] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,1,7,5] => [5,4,2,6,7,1,3] => [3,7,1,5,4,2,6] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,5,1,7] => [5,4,2,6,3,7,1] => [7,1,6,3,5,4,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,5,7,1] => [5,4,2,6,3,1,7] => [6,3,1,5,4,2,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,7,1,5] => [5,4,2,6,1,7,3] => [7,3,6,1,5,4,2] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,7,5,1] => [5,4,2,6,1,3,7] => [3,6,1,5,4,2,7] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,1,2,7] => [5,4,2,3,7,6,1] => [7,6,1,3,5,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,1,7,2] => [5,4,2,3,7,1,6] => [6,7,1,3,5,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,5,2,1,7] => [5,4,2,3,6,7,1] => [7,1,3,5,4,2,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,2,7,1] => [5,4,2,3,6,1,7] => [6,1,3,5,4,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,7,1,2] => [5,4,2,3,1,7,6] => [3,1,5,4,2,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,7,2,1] => [5,4,2,3,1,6,7] => [3,1,5,4,2,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,4,6,7,1,2,5] => [5,4,2,1,7,6,3] => [7,6,3,5,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,7,1,5,2] => [5,4,2,1,7,3,6] => [6,7,3,5,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,7,2,1,5] => [5,4,2,1,6,7,3] => [7,3,5,4,2,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,7,2,5,1] => [5,4,2,1,6,3,7] => [6,3,5,4,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,7,5,1,2] => [5,4,2,1,3,7,6] => [3,5,4,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,7,5,2,1] => [5,4,2,1,3,6,7] => [3,5,4,2,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,1,2,5,6] => [5,4,1,7,6,3,2] => [7,6,3,2,5,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,1,2,6,5] => [5,4,1,7,6,2,3] => [3,7,6,2,5,4,1] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,1,5,2,6] => [5,4,1,7,3,6,2] => [6,2,7,3,5,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,7,1,5,6,2] => [5,4,1,7,3,2,6] => [6,7,3,2,5,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,7,1,6,2,5] => [5,4,1,7,2,6,3] => [6,3,7,2,5,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,1,6,5,2] => [5,4,1,7,2,3,6] => [3,6,7,2,5,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,1,5,6] => [5,4,1,6,7,3,2] => [7,3,2,5,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,1,6,5] => [5,4,1,6,7,2,3] => [3,7,2,5,4,1,6] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,5,1,6] => [5,4,1,6,3,7,2] => [7,2,6,3,5,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,5,6,1] => [5,4,1,6,3,2,7] => [6,3,2,5,4,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,6,1,5] => [5,4,1,6,2,7,3] => [7,3,6,2,5,4,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,6,5,1] => [5,4,1,6,2,3,7] => [3,6,2,5,4,1,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,5,1,2,6] => [5,4,1,3,7,6,2] => [7,6,2,3,5,4,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,5,1,6,2] => [5,4,1,3,7,2,6] => [6,7,2,3,5,4,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,7,5,2,1,6] => [5,4,1,3,6,7,2] => [7,2,3,5,4,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,5,2,6,1] => [5,4,1,3,6,2,7] => [6,2,3,5,4,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,5,6,1,2] => [5,4,1,3,2,7,6] => [3,2,5,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,4,7,5,6,2,1] => [5,4,1,3,2,6,7] => [3,2,5,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,4,7,6,1,2,5] => [5,4,1,2,7,6,3] => [2,7,6,3,5,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,6,1,5,2] => [5,4,1,2,7,3,6] => [2,6,7,3,5,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,7,6,2,1,5] => [5,4,1,2,6,7,3] => [2,7,3,5,4,1,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,6,2,5,1] => [5,4,1,2,6,3,7] => [2,6,3,5,4,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,6,5,1,2] => [5,4,1,2,3,7,6] => [2,3,5,4,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,6,5,2,1] => [5,4,1,2,3,6,7] => [2,3,5,4,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,2,4,6,7] => [5,3,7,6,4,2,1] => [7,6,4,2,1,5,3] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,2,4,7,6] => [5,3,7,6,4,1,2] => [2,7,6,4,1,5,3] => ([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,2,6,4,7] => [5,3,7,6,2,4,1] => [4,1,7,6,2,5,3] => ([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,2,6,7,4] => [5,3,7,6,2,1,4] => [4,7,6,2,1,5,3] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,2,7,4,6] => [5,3,7,6,1,4,2] => [4,2,7,6,1,5,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,2,7,6,4] => [5,3,7,6,1,2,4] => [2,4,7,6,1,5,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,4,2,6,7] => [5,3,7,4,6,2,1] => [6,2,1,7,4,5,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,4,2,7,6] => [5,3,7,4,6,1,2] => [2,6,1,7,4,5,3] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,4,6,2,7] => [5,3,7,4,2,6,1] => [6,1,7,4,2,5,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,4,6,7,2] => [5,3,7,4,2,1,6] => [6,7,4,2,1,5,3] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,4,7,2,6] => [5,3,7,4,1,6,2] => [6,2,7,4,1,5,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,1,4,7,6,2] => [5,3,7,4,1,2,6] => [2,6,7,4,1,5,3] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,1,6,2,4,7] => [5,3,7,2,6,4,1] => [6,4,1,7,2,5,3] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,6,2,7,4] => [5,3,7,2,6,1,4] => [4,6,1,7,2,5,3] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)
[3,5,1,6,4,2,7] => [5,3,7,2,4,6,1] => [6,1,4,7,2,5,3] => ([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,6,4,7,2] => [5,3,7,2,4,1,6] => [4,1,6,7,2,5,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)
[3,5,1,6,7,2,4] => [5,3,7,2,1,6,4] => [6,4,7,2,1,5,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[3,5,1,6,7,4,2] => [5,3,7,2,1,4,6] => [4,6,7,2,1,5,3] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,1,7,2,4,6] => [5,3,7,1,6,4,2] => [6,4,2,7,1,5,3] => ([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,7,2,6,4] => [5,3,7,1,6,2,4] => [4,6,2,7,1,5,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,1,7,4,2,6] => [5,3,7,1,4,6,2] => [6,2,4,7,1,5,3] => ([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,1,7,4,6,2] => [5,3,7,1,4,2,6] => [4,2,6,7,1,5,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,7,6,2,4] => [5,3,7,1,2,6,4] => [2,6,4,7,1,5,3] => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,5,1,7,6,4,2] => [5,3,7,1,2,4,6] => [2,4,6,7,1,5,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,1,4,6,7] => [5,3,6,7,4,2,1] => [7,4,2,1,5,3,6] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,4,7,6] => [5,3,6,7,4,1,2] => [2,7,4,1,5,3,6] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,2,1,6,4,7] => [5,3,6,7,2,4,1] => [4,1,7,2,5,3,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,5,2,1,6,7,4] => [5,3,6,7,2,1,4] => [4,7,2,1,5,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,5,2,1,7,4,6] => [5,3,6,7,1,4,2] => [4,2,7,1,5,3,6] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,2,1,7,6,4] => [5,3,6,7,1,2,4] => [2,4,7,1,5,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,2,4,1,6,7] => [5,3,6,4,7,2,1] => [7,2,1,6,4,5,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,1,7,6] => [5,3,6,4,7,1,2] => [2,7,1,6,4,5,3] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,6,1,7] => [5,3,6,4,2,7,1] => [7,1,6,4,2,5,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,6,7,1] => [5,3,6,4,2,1,7] => [6,4,2,1,5,3,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,7,1,6] => [5,3,6,4,1,7,2] => [7,2,6,4,1,5,3] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,7,6,1] => [5,3,6,4,1,2,7] => [2,6,4,1,5,3,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,2,6,1,4,7] => [5,3,6,2,7,4,1] => [7,4,1,6,2,5,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,2,6,1,7,4] => [5,3,6,2,7,1,4] => [4,7,1,6,2,5,3] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,2,6,4,1,7] => [5,3,6,2,4,7,1] => [7,1,4,6,2,5,3] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,6,4,7,1] => [5,3,6,2,4,1,7] => [4,1,6,2,5,3,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,6,7,1,4] => [5,3,6,2,1,7,4] => [7,4,6,2,1,5,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,6,7,4,1] => [5,3,6,2,1,4,7] => [4,6,2,1,5,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,5,2,7,1,4,6] => [5,3,6,1,7,4,2] => [7,4,2,6,1,5,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,7,1,6,4] => [5,3,6,1,7,2,4] => [4,7,2,6,1,5,3] => ([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,7,4,1,6] => [5,3,6,1,4,7,2] => [7,2,4,6,1,5,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,2,7,4,6,1] => [5,3,6,1,4,2,7] => [4,2,6,1,5,3,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[3,5,2,7,6,1,4] => [5,3,6,1,2,7,4] => [2,7,4,6,1,5,3] => ([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,2,7,6,4,1] => [5,3,6,1,2,4,7] => [2,4,6,1,5,3,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,2,6,7] => [5,3,4,7,6,2,1] => [7,6,2,1,4,5,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,1,2,7,6] => [5,3,4,7,6,1,2] => [2,7,6,1,4,5,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,1,6,2,7] => [5,3,4,7,2,6,1] => [6,1,7,2,4,5,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,6,7,2] => [5,3,4,7,2,1,6] => [6,7,2,1,4,5,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,7,2,6] => [5,3,4,7,1,6,2] => [6,2,7,1,4,5,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[3,5,4,1,7,6,2] => [5,3,4,7,1,2,6] => [2,6,7,1,4,5,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,4,2,1,6,7] => [5,3,4,6,7,2,1] => [7,2,1,4,5,3,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,1,7,6] => [5,3,4,6,7,1,2] => [2,7,1,4,5,3,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,4,2,6,1,7] => [5,3,4,6,2,7,1] => [7,1,6,2,4,5,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,6,7,1] => [5,3,4,6,2,1,7] => [6,2,1,4,5,3,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,7,1,6] => [5,3,4,6,1,7,2] => [7,2,6,1,4,5,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,7,6,1] => [5,3,4,6,1,2,7] => [2,6,1,4,5,3,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,4,6,1,2,7] => [5,3,4,2,7,6,1] => [7,6,1,4,2,5,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,1,7,2] => [5,3,4,2,7,1,6] => [6,7,1,4,2,5,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,6,2,1,7] => [5,3,4,2,6,7,1] => [7,1,4,2,5,3,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,2,7,1] => [5,3,4,2,6,1,7] => [6,1,4,2,5,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,7,1,2] => [5,3,4,2,1,7,6] => [4,2,1,5,3,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,7,2,1] => [5,3,4,2,1,6,7] => [4,2,1,5,3,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,5,4,7,1,2,6] => [5,3,4,1,7,6,2] => [7,6,2,4,1,5,3] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,7,1,6,2] => [5,3,4,1,7,2,6] => [6,7,2,4,1,5,3] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,7,2,1,6] => [5,3,4,1,6,7,2] => [7,2,4,1,5,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,4,7,2,6,1] => [5,3,4,1,6,2,7] => [6,2,4,1,5,3,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,4,7,6,1,2] => [5,3,4,1,2,7,6] => [2,4,1,5,3,7,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[3,5,4,7,6,2,1] => [5,3,4,1,2,6,7] => [2,4,1,5,3,6,7] => ([(2,6),(3,5),(4,5),(4,6)],7)
[3,5,6,1,2,4,7] => [5,3,2,7,6,4,1] => [7,6,4,1,5,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,1,2,7,4] => [5,3,2,7,6,1,4] => [4,7,6,1,5,3,2] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,1,4,2,7] => [5,3,2,7,4,6,1] => [6,1,7,4,5,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,1,4,7,2] => [5,3,2,7,4,1,6] => [6,7,4,1,5,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,1,7,2,4] => [5,3,2,7,1,6,4] => [6,4,7,1,5,3,2] => ([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,6,1,7,4,2] => [5,3,2,7,1,4,6] => [4,6,7,1,5,3,2] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,1,4,7] => [5,3,2,6,7,4,1] => [7,4,1,5,3,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,1,7,4] => [5,3,2,6,7,1,4] => [4,7,1,5,3,2,6] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,6,2,4,1,7] => [5,3,2,6,4,7,1] => [7,1,6,4,5,3,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,4,7,1] => [5,3,2,6,4,1,7] => [6,4,1,5,3,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,7,1,4] => [5,3,2,6,1,7,4] => [7,4,6,1,5,3,2] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,7,4,1] => [5,3,2,6,1,4,7] => [4,6,1,5,3,2,7] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,6,4,1,2,7] => [5,3,2,4,7,6,1] => [7,6,1,4,5,3,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,1,7,2] => [5,3,2,4,7,1,6] => [6,7,1,4,5,3,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,4,2,1,7] => [5,3,2,4,6,7,1] => [7,1,4,5,3,2,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,2,7,1] => [5,3,2,4,6,1,7] => [6,1,4,5,3,2,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,7,1,2] => [5,3,2,4,1,7,6] => [4,1,5,3,2,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,7,2,1] => [5,3,2,4,1,6,7] => [4,1,5,3,2,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,6,7,1,2,4] => [5,3,2,1,7,6,4] => [7,6,4,5,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,7,1,4,2] => [5,3,2,1,7,4,6] => [6,7,4,5,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,7,2,1,4] => [5,3,2,1,6,7,4] => [7,4,5,3,2,1,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,7,2,4,1] => [5,3,2,1,6,4,7] => [6,4,5,3,2,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,7,4,1,2] => [5,3,2,1,4,7,6] => [4,5,3,2,1,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,7,4,2,1] => [5,3,2,1,4,6,7] => [4,5,3,2,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,1,2,4,6] => [5,3,1,7,6,4,2] => [7,6,4,2,5,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,1,2,6,4] => [5,3,1,7,6,2,4] => [4,7,6,2,5,3,1] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,1,4,2,6] => [5,3,1,7,4,6,2] => [6,2,7,4,5,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,1,4,6,2] => [5,3,1,7,4,2,6] => [6,7,4,2,5,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,7,1,6,2,4] => [5,3,1,7,2,6,4] => [6,4,7,2,5,3,1] => ([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,1,6,4,2] => [5,3,1,7,2,4,6] => [4,6,7,2,5,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,7,2,1,4,6] => [5,3,1,6,7,4,2] => [7,4,2,5,3,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,2,1,6,4] => [5,3,1,6,7,2,4] => [4,7,2,5,3,1,6] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,2,4,1,6] => [5,3,1,6,4,7,2] => [7,2,6,4,5,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,2,4,6,1] => [5,3,1,6,4,2,7] => [6,4,2,5,3,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,2,6,1,4] => [5,3,1,6,2,7,4] => [7,4,6,2,5,3,1] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,2,6,4,1] => [5,3,1,6,2,4,7] => [4,6,2,5,3,1,7] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,4,1,2,6] => [5,3,1,4,7,6,2] => [7,6,2,4,5,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,4,1,6,2] => [5,3,1,4,7,2,6] => [6,7,2,4,5,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,7,4,2,1,6] => [5,3,1,4,6,7,2] => [7,2,4,5,3,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,4,2,6,1] => [5,3,1,4,6,2,7] => [6,2,4,5,3,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,4,6,1,2] => [5,3,1,4,2,7,6] => [4,2,5,3,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,4,6,2,1] => [5,3,1,4,2,6,7] => [4,2,5,3,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,6,1,2,4] => [5,3,1,2,7,6,4] => [2,7,6,4,5,3,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,6,1,4,2] => [5,3,1,2,7,4,6] => [2,6,7,4,5,3,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,6,2,1,4] => [5,3,1,2,6,7,4] => [2,7,4,5,3,1,6] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,6,2,4,1] => [5,3,1,2,6,4,7] => [2,6,4,5,3,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,6,4,1,2] => [5,3,1,2,4,7,6] => [2,4,5,3,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,6,4,2,1] => [5,3,1,2,4,6,7] => [2,4,5,3,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,2,4,5,7] => [5,2,7,6,4,3,1] => [7,6,4,3,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,2,4,7,5] => [5,2,7,6,4,1,3] => [3,7,6,4,1,5,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,1,2,5,4,7] => [5,2,7,6,3,4,1] => [4,1,7,6,3,5,2] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,2,5,7,4] => [5,2,7,6,3,1,4] => [4,7,6,3,1,5,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,2,7,4,5] => [5,2,7,6,1,4,3] => [4,3,7,6,1,5,2] => ([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,1,2,7,5,4] => [5,2,7,6,1,3,4] => [3,4,7,6,1,5,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,4,2,5,7] => [5,2,7,4,6,3,1] => [6,3,1,7,4,5,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,4,2,7,5] => [5,2,7,4,6,1,3] => [3,6,1,7,4,5,2] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,4,5,2,7] => [5,2,7,4,3,6,1] => [6,1,7,4,3,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,6,1,4,5,7,2] => [5,2,7,4,3,1,6] => [6,7,4,3,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,4,7,2,5] => [5,2,7,4,1,6,3] => [6,3,7,4,1,5,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,1,4,7,5,2] => [5,2,7,4,1,3,6] => [3,6,7,4,1,5,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,5,2,4,7] => [5,2,7,3,6,4,1] => [6,4,1,7,3,5,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,5,2,7,4] => [5,2,7,3,6,1,4] => [4,6,1,7,3,5,2] => ([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,5,4,2,7] => [5,2,7,3,4,6,1] => [6,1,4,7,3,5,2] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,5,4,7,2] => [5,2,7,3,4,1,6] => [4,1,6,7,3,5,2] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,5,7,2,4] => [5,2,7,3,1,6,4] => [6,4,7,3,1,5,2] => ([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,5,7,4,2] => [5,2,7,3,1,4,6] => [4,6,7,3,1,5,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,7,2,4,5] => [5,2,7,1,6,4,3] => [6,4,3,7,1,5,2] => ([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,6,1,7,2,5,4] => [5,2,7,1,6,3,4] => [4,6,3,7,1,5,2] => ([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,1,7,4,2,5] => [5,2,7,1,4,6,3] => [6,3,4,7,1,5,2] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,1,7,4,5,2] => [5,2,7,1,4,3,6] => [4,3,6,7,1,5,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,7,5,2,4] => [5,2,7,1,3,6,4] => [3,6,4,7,1,5,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,7,5,4,2] => [5,2,7,1,3,4,6] => [3,4,6,7,1,5,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,1,4,5,7] => [5,2,6,7,4,3,1] => [7,4,3,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,4,7,5] => [5,2,6,7,4,1,3] => [3,7,4,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,5,4,7] => [5,2,6,7,3,4,1] => [4,1,7,3,5,2,6] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,5,7,4] => [5,2,6,7,3,1,4] => [4,7,3,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,7,4,5] => [5,2,6,7,1,4,3] => [4,3,7,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[3,6,2,1,7,5,4] => [5,2,6,7,1,3,4] => [3,4,7,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,2,4,1,5,7] => [5,2,6,4,7,3,1] => [7,3,1,6,4,5,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,1,7,5] => [5,2,6,4,7,1,3] => [3,7,1,6,4,5,2] => ([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,5,1,7] => [5,2,6,4,3,7,1] => [7,1,6,4,3,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,5,7,1] => [5,2,6,4,3,1,7] => [6,4,3,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,7,1,5] => [5,2,6,4,1,7,3] => [7,3,6,4,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,7,5,1] => [5,2,6,4,1,3,7] => [3,6,4,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,5,1,4,7] => [5,2,6,3,7,4,1] => [7,4,1,6,3,5,2] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,5,1,7,4] => [5,2,6,3,7,1,4] => [4,7,1,6,3,5,2] => ([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,5,4,1,7] => [5,2,6,3,4,7,1] => [7,1,4,6,3,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,5,4,7,1] => [5,2,6,3,4,1,7] => [4,1,6,3,5,2,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,2,5,7,1,4] => [5,2,6,3,1,7,4] => [7,4,6,3,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,5,7,4,1] => [5,2,6,3,1,4,7] => [4,6,3,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,2,7,1,4,5] => [5,2,6,1,7,4,3] => [7,4,3,6,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,1,5,4] => [5,2,6,1,7,3,4] => [4,7,3,6,1,5,2] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,4,1,5] => [5,2,6,1,4,7,3] => [7,3,4,6,1,5,2] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,4,5,1] => [5,2,6,1,4,3,7] => [4,3,6,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,6,2,7,5,1,4] => [5,2,6,1,3,7,4] => [3,7,4,6,1,5,2] => ([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,6,2,7,5,4,1] => [5,2,6,1,3,4,7] => [3,4,6,1,5,2,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,6,4,1,2,5,7] => [5,2,4,7,6,3,1] => [7,6,3,1,4,5,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,1,2,7,5] => [5,2,4,7,6,1,3] => [3,7,6,1,4,5,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,4,1,5,2,7] => [5,2,4,7,3,6,1] => [6,1,7,3,4,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,6,4,1,5,7,2] => [5,2,4,7,3,1,6] => [6,7,3,1,4,5,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,4,1,7,2,5] => [5,2,4,7,1,6,3] => [6,3,7,1,4,5,2] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,4,1,7,5,2] => [5,2,4,7,1,3,6] => [3,6,7,1,4,5,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,4,2,1,5,7] => [5,2,4,6,7,3,1] => [7,3,1,4,5,2,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,1,7,5] => [5,2,4,6,7,1,3] => [3,7,1,4,5,2,6] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,5,1,7] => [5,2,4,6,3,7,1] => [7,1,6,3,4,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,5,7,1] => [5,2,4,6,3,1,7] => [6,3,1,4,5,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,7,1,5] => [5,2,4,6,1,7,3] => [7,3,6,1,4,5,2] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,7,5,1] => [5,2,4,6,1,3,7] => [3,6,1,4,5,2,7] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,1,2,7] => [5,2,4,3,7,6,1] => [7,6,1,4,3,5,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,1,7,2] => [5,2,4,3,7,1,6] => [6,7,1,4,3,5,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,5,2,1,7] => [5,2,4,3,6,7,1] => [7,1,4,3,5,2,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,2,7,1] => [5,2,4,3,6,1,7] => [6,1,4,3,5,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,7,1,2] => [5,2,4,3,1,7,6] => [4,3,1,5,2,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,7,2,1] => [5,2,4,3,1,6,7] => [4,3,1,5,2,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,4,7,1,2,5] => [5,2,4,1,7,6,3] => [7,6,3,4,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,7,1,5,2] => [5,2,4,1,7,3,6] => [6,7,3,4,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,4,7,2,1,5] => [5,2,4,1,6,7,3] => [7,3,4,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,7,2,5,1] => [5,2,4,1,6,3,7] => [6,3,4,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,7,5,1,2] => [5,2,4,1,3,7,6] => [3,4,1,5,2,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,7,5,2,1] => [5,2,4,1,3,6,7] => [3,4,1,5,2,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,5,1,2,4,7] => [5,2,3,7,6,4,1] => [7,6,4,1,3,5,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,1,2,7,4] => [5,2,3,7,6,1,4] => [4,7,6,1,3,5,2] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,1,4,2,7] => [5,2,3,7,4,6,1] => [6,1,3,7,4,5,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,1,4,7,2] => [5,2,3,7,4,1,6] => [6,7,4,1,3,5,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,1,7,2,4] => [5,2,3,7,1,6,4] => [6,4,7,1,3,5,2] => ([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,6,5,1,7,4,2] => [5,2,3,7,1,4,6] => [4,6,7,1,3,5,2] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,1,4,7] => [5,2,3,6,7,4,1] => [7,4,1,3,5,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,1,7,4] => [5,2,3,6,7,1,4] => [4,7,1,3,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,5,2,4,1,7] => [5,2,3,6,4,7,1] => [7,1,3,6,4,5,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,4,7,1] => [5,2,3,6,4,1,7] => [6,4,1,3,5,2,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,7,1,4] => [5,2,3,6,1,7,4] => [7,4,6,1,3,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,7,4,1] => [5,2,3,6,1,4,7] => [4,6,1,3,5,2,7] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,1,2,7] => [5,2,3,4,7,6,1] => [7,6,1,3,4,5,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,1,7,2] => [5,2,3,4,7,1,6] => [6,7,1,3,4,5,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,4,2,1,7] => [5,2,3,4,6,7,1] => [7,1,3,4,5,2,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,2,7,1] => [5,2,3,4,6,1,7] => [6,1,3,4,5,2,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,7,1,2] => [5,2,3,4,1,7,6] => [4,1,3,5,2,7,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,5,4,7,2,1] => [5,2,3,4,1,6,7] => [4,1,3,5,2,6,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,5,7,1,2,4] => [5,2,3,1,7,6,4] => [3,1,7,6,4,5,2] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,7,1,4,2] => [5,2,3,1,7,4,6] => [3,1,6,7,4,5,2] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,5,7,2,1,4] => [5,2,3,1,6,7,4] => [3,1,7,4,5,2,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,6,5,7,2,4,1] => [5,2,3,1,6,4,7] => [3,1,6,4,5,2,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,5,7,4,1,2] => [5,2,3,1,4,7,6] => [3,1,4,5,2,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[3,6,5,7,4,2,1] => [5,2,3,1,4,6,7] => [3,1,4,5,2,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[3,6,7,1,2,4,5] => [5,2,1,7,6,4,3] => [7,6,4,3,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,1,2,5,4] => [5,2,1,7,6,3,4] => [4,7,6,3,5,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,1,4,2,5] => [5,2,1,7,4,6,3] => [6,3,7,4,5,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,1,4,5,2] => [5,2,1,7,4,3,6] => [6,7,4,3,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,1,5,2,4] => [5,2,1,7,3,6,4] => [6,4,7,3,5,2,1] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,1,5,4,2] => [5,2,1,7,3,4,6] => [4,6,7,3,5,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,2,1,4,5] => [5,2,1,6,7,4,3] => [7,4,3,5,2,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,2,1,5,4] => [5,2,1,6,7,3,4] => [4,7,3,5,2,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,2,4,1,5] => [5,2,1,6,4,7,3] => [7,3,6,4,5,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,2,4,5,1] => [5,2,1,6,4,3,7] => [6,4,3,5,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,2,5,1,4] => [5,2,1,6,3,7,4] => [7,4,6,3,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,2,5,4,1] => [5,2,1,6,3,4,7] => [4,6,3,5,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,4,1,2,5] => [5,2,1,4,7,6,3] => [7,6,3,4,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,4,1,5,2] => [5,2,1,4,7,3,6] => [6,7,3,4,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,4,2,1,5] => [5,2,1,4,6,7,3] => [7,3,4,5,2,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,4,2,5,1] => [5,2,1,4,6,3,7] => [6,3,4,5,2,1,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,4,5,1,2] => [5,2,1,4,3,7,6] => [4,3,5,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,4,5,2,1] => [5,2,1,4,3,6,7] => [4,3,5,2,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,5,1,2,4] => [5,2,1,3,7,6,4] => [3,7,6,4,5,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,5,1,4,2] => [5,2,1,3,7,4,6] => [3,6,7,4,5,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,5,2,1,4] => [5,2,1,3,6,7,4] => [3,7,4,5,2,1,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,5,2,4,1] => [5,2,1,3,6,4,7] => [3,6,4,5,2,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,5,4,1,2] => [5,2,1,3,4,7,6] => [3,4,5,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,5,4,2,1] => [5,2,1,3,4,6,7] => [3,4,5,2,1,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,2,4,5,6] => [5,1,7,6,4,3,2] => [7,6,4,3,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,2,4,6,5] => [5,1,7,6,4,2,3] => [3,7,6,4,2,5,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,2,5,4,6] => [5,1,7,6,3,4,2] => [4,2,7,6,3,5,1] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,2,5,6,4] => [5,1,7,6,3,2,4] => [4,7,6,3,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,2,6,4,5] => [5,1,7,6,2,4,3] => [4,3,7,6,2,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,2,6,5,4] => [5,1,7,6,2,3,4] => [3,4,7,6,2,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,4,2,5,6] => [5,1,7,4,6,3,2] => [6,3,2,7,4,5,1] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,4,2,6,5] => [5,1,7,4,6,2,3] => [3,6,2,7,4,5,1] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,4,5,2,6] => [5,1,7,4,3,6,2] => [6,2,7,4,3,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,1,4,5,6,2] => [5,1,7,4,3,2,6] => [6,7,4,3,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,1,4,6,2,5] => [5,1,7,4,2,6,3] => [6,3,7,4,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,4,6,5,2] => [5,1,7,4,2,3,6] => [3,6,7,4,2,5,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,5,2,4,6] => [5,1,7,3,6,4,2] => [6,4,2,7,3,5,1] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,5,2,6,4] => [5,1,7,3,6,2,4] => [4,6,2,7,3,5,1] => ([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,5,4,2,6] => [5,1,7,3,4,6,2] => [6,2,4,7,3,5,1] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,5,4,6,2] => [5,1,7,3,4,2,6] => [4,2,6,7,3,5,1] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,5,6,2,4] => [5,1,7,3,2,6,4] => [6,4,7,3,2,5,1] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,5,6,4,2] => [5,1,7,3,2,4,6] => [4,6,7,3,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,2,4,5] => [5,1,7,2,6,4,3] => [6,4,3,7,2,5,1] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,2,5,4] => [5,1,7,2,6,3,4] => [4,6,3,7,2,5,1] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,4,2,5] => [5,1,7,2,4,6,3] => [6,3,4,7,2,5,1] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,4,5,2] => [5,1,7,2,4,3,6] => [4,3,6,7,2,5,1] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,5,2,4] => [5,1,7,2,3,6,4] => [3,6,4,7,2,5,1] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,5,4,2] => [5,1,7,2,3,4,6] => [3,4,6,7,2,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,4,5,6] => [5,1,6,7,4,3,2] => [7,4,3,2,5,1,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,4,6,5] => [5,1,6,7,4,2,3] => [3,7,4,2,5,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,5,4,6] => [5,1,6,7,3,4,2] => [4,2,7,3,5,1,6] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,5,6,4] => [5,1,6,7,3,2,4] => [4,7,3,2,5,1,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,6,4,5] => [5,1,6,7,2,4,3] => [4,3,7,2,5,1,6] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,6,5,4] => [5,1,6,7,2,3,4] => [3,4,7,2,5,1,6] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,1,5,6] => [5,1,6,4,7,3,2] => [7,3,2,6,4,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,1,6,5] => [5,1,6,4,7,2,3] => [3,7,2,6,4,5,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,5,1,6] => [5,1,6,4,3,7,2] => [7,2,6,4,3,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,5,6,1] => [5,1,6,4,3,2,7] => [6,4,3,2,5,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,6,1,5] => [5,1,6,4,2,7,3] => [7,3,6,4,2,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,6,5,1] => [5,1,6,4,2,3,7] => [3,6,4,2,5,1,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,5,1,4,6] => [5,1,6,3,7,4,2] => [7,4,2,6,3,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,5,1,6,4] => [5,1,6,3,7,2,4] => [4,7,2,6,3,5,1] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,5,4,1,6] => [5,1,6,3,4,7,2] => [7,2,4,6,3,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,5,4,6,1] => [5,1,6,3,4,2,7] => [4,2,6,3,5,1,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,2,5,6,1,4] => [5,1,6,3,2,7,4] => [7,4,6,3,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,5,6,4,1] => [5,1,6,3,2,4,7] => [4,6,3,2,5,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,6,1,4,5] => [5,1,6,2,7,4,3] => [7,4,3,6,2,5,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,6,1,5,4] => [5,1,6,2,7,3,4] => [4,7,3,6,2,5,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,6,4,1,5] => [5,1,6,2,4,7,3] => [7,3,4,6,2,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,6,4,5,1] => [5,1,6,2,4,3,7] => [4,3,6,2,5,1,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,6,5,1,4] => [5,1,6,2,3,7,4] => [3,7,4,6,2,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,6,5,4,1] => [5,1,6,2,3,4,7] => [3,4,6,2,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,1,2,5,6] => [5,1,4,7,6,3,2] => [7,6,3,2,4,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,1,2,6,5] => [5,1,4,7,6,2,3] => [3,7,6,2,4,5,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,1,5,2,6] => [5,1,4,7,3,6,2] => [6,2,7,3,4,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,4,1,5,6,2] => [5,1,4,7,3,2,6] => [6,7,3,2,4,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,4,1,6,2,5] => [5,1,4,7,2,6,3] => [6,3,7,2,4,5,1] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,1,6,5,2] => [5,1,4,7,2,3,6] => [3,6,7,2,4,5,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,2,1,5,6] => [5,1,4,6,7,3,2] => [7,3,2,4,5,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,2,1,6,5] => [5,1,4,6,7,2,3] => [3,7,2,4,5,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,4,2,5,1,6] => [5,1,4,6,3,7,2] => [7,2,6,3,4,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,2,5,6,1] => [5,1,4,6,3,2,7] => [6,3,2,4,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,2,6,1,5] => [5,1,4,6,2,7,3] => [7,3,6,2,4,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,2,6,5,1] => [5,1,4,6,2,3,7] => [3,6,2,4,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,5,1,2,6] => [5,1,4,3,7,6,2] => [7,6,2,4,3,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,5,1,6,2] => [5,1,4,3,7,2,6] => [6,7,2,4,3,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,4,5,2,1,6] => [5,1,4,3,6,7,2] => [7,2,4,3,5,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,5,2,6,1] => [5,1,4,3,6,2,7] => [6,2,4,3,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,5,6,1,2] => [5,1,4,3,2,7,6] => [4,3,2,5,1,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,5,6,2,1] => [5,1,4,3,2,6,7] => [4,3,2,5,1,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,6,1,2,5] => [5,1,4,2,7,6,3] => [7,6,3,4,2,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,6,1,5,2] => [5,1,4,2,7,3,6] => [6,7,3,4,2,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,4,6,2,1,5] => [5,1,4,2,6,7,3] => [7,3,4,2,5,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,6,2,5,1] => [5,1,4,2,6,3,7] => [6,3,4,2,5,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,6,5,1,2] => [5,1,4,2,3,7,6] => [3,4,2,5,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,6,5,2,1] => [5,1,4,2,3,6,7] => [3,4,2,5,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,2,4,6] => [5,1,3,7,6,4,2] => [7,6,4,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,2,6,4] => [5,1,3,7,6,2,4] => [4,7,6,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,4,2,6] => [5,1,3,7,4,6,2] => [6,2,3,7,4,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,4,6,2] => [5,1,3,7,4,2,6] => [6,7,4,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,5,1,6,2,4] => [5,1,3,7,2,6,4] => [6,4,7,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,5,1,6,4,2] => [5,1,3,7,2,4,6] => [4,6,7,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,5,2,1,4,6] => [5,1,3,6,7,4,2] => [7,4,2,3,5,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,2,1,6,4] => [5,1,3,6,7,2,4] => [4,7,2,3,5,1,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,2,4,1,6] => [5,1,3,6,4,7,2] => [7,2,3,6,4,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,2,4,6,1] => [5,1,3,6,4,2,7] => [6,4,2,3,5,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,2,6,1,4] => [5,1,3,6,2,7,4] => [7,4,6,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,2,6,4,1] => [5,1,3,6,2,4,7] => [4,6,2,3,5,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,4,1,2,6] => [5,1,3,4,7,6,2] => [7,6,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,4,1,6,2] => [5,1,3,4,7,2,6] => [6,7,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,5,4,2,1,6] => [5,1,3,4,6,7,2] => [7,2,3,4,5,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,4,2,6,1] => [5,1,3,4,6,2,7] => [6,2,3,4,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,4,6,1,2] => [5,1,3,4,2,7,6] => [4,2,3,5,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,4,6,2,1] => [5,1,3,4,2,6,7] => [4,2,3,5,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,6,1,2,4] => [5,1,3,2,7,6,4] => [3,2,7,6,4,5,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,6,1,4,2] => [5,1,3,2,7,4,6] => [3,2,6,7,4,5,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,5,6,2,1,4] => [5,1,3,2,6,7,4] => [3,2,7,4,5,1,6] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,6,2,4,1] => [5,1,3,2,6,4,7] => [3,2,6,4,5,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,6,4,1,2] => [5,1,3,2,4,7,6] => [3,2,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,6,4,2,1] => [5,1,3,2,4,6,7] => [3,2,4,5,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,2,4,5] => [5,1,2,7,6,4,3] => [2,7,6,4,3,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,2,5,4] => [5,1,2,7,6,3,4] => [2,4,7,6,3,5,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,4,2,5] => [5,1,2,7,4,6,3] => [2,6,3,7,4,5,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,4,5,2] => [5,1,2,7,4,3,6] => [2,6,7,4,3,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,6,1,5,2,4] => [5,1,2,7,3,6,4] => [2,6,4,7,3,5,1] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,5,4,2] => [5,1,2,7,3,4,6] => [2,4,6,7,3,5,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,1,4,5] => [5,1,2,6,7,4,3] => [2,7,4,3,5,1,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,1,5,4] => [5,1,2,6,7,3,4] => [2,4,7,3,5,1,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,4,1,5] => [5,1,2,6,4,7,3] => [2,7,3,6,4,5,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,4,5,1] => [5,1,2,6,4,3,7] => [2,6,4,3,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,5,1,4] => [5,1,2,6,3,7,4] => [2,7,4,6,3,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,5,4,1] => [5,1,2,6,3,4,7] => [2,4,6,3,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,4,1,2,5] => [5,1,2,4,7,6,3] => [2,7,6,3,4,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,4,1,5,2] => [5,1,2,4,7,3,6] => [2,6,7,3,4,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,6,4,2,1,5] => [5,1,2,4,6,7,3] => [2,7,3,4,5,1,6] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,4,2,5,1] => [5,1,2,4,6,3,7] => [2,6,3,4,5,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,4,5,1,2] => [5,1,2,4,3,7,6] => [2,4,3,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,4,5,2,1] => [5,1,2,4,3,6,7] => [2,4,3,5,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,5,1,2,4] => [5,1,2,3,7,6,4] => [2,3,7,6,4,5,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,5,1,4,2] => [5,1,2,3,7,4,6] => [2,3,6,7,4,5,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,6,5,2,1,4] => [5,1,2,3,6,7,4] => [2,3,7,4,5,1,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,5,2,4,1] => [5,1,2,3,6,4,7] => [2,3,6,4,5,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,5,4,1,2] => [5,1,2,3,4,7,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,7,6,5,4,2,1] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,1,2,3,5,6,7] => [4,7,6,5,3,2,1] => [7,6,5,3,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,3,5,7,6] => [4,7,6,5,3,1,2] => [2,7,6,5,3,1,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,3,6,5,7] => [4,7,6,5,2,3,1] => [3,1,7,6,5,2,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,3,6,7,5] => [4,7,6,5,2,1,3] => [3,7,6,5,2,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,3,7,5,6] => [4,7,6,5,1,3,2] => [3,2,7,6,5,1,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,3,7,6,5] => [4,7,6,5,1,2,3] => [2,3,7,6,5,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,5,3,6,7] => [4,7,6,3,5,2,1] => [5,2,1,7,6,3,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,2,5,3,7,6] => [4,7,6,3,5,1,2] => [2,5,1,7,6,3,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,2,5,6,3,7] => [4,7,6,3,2,5,1] => [5,1,7,6,3,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[4,1,2,5,6,7,3] => [4,7,6,3,2,1,5] => [5,7,6,3,2,1,4] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,5,7,3,6] => [4,7,6,3,1,5,2] => [5,2,7,6,3,1,4] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,2,5,7,6,3] => [4,7,6,3,1,2,5] => [2,5,7,6,3,1,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,6,3,5,7] => [4,7,6,2,5,3,1] => [5,3,1,7,6,2,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,2,6,3,7,5] => [4,7,6,2,5,1,3] => [3,5,1,7,6,2,4] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,2,6,5,3,7] => [4,7,6,2,3,5,1] => [5,1,3,7,6,2,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,1,2,6,5,7,3] => [4,7,6,2,3,1,5] => [3,1,5,7,6,2,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,6,7,3,5] => [4,7,6,2,1,5,3] => [5,3,7,6,2,1,4] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,6,7,5,3] => [4,7,6,2,1,3,5] => [3,5,7,6,2,1,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,7,3,5,6] => [4,7,6,1,5,3,2] => [5,3,2,7,6,1,4] => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,7,3,6,5] => [4,7,6,1,5,2,3] => [3,5,2,7,6,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,7,5,3,6] => [4,7,6,1,3,5,2] => [5,2,3,7,6,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,1,2,7,5,6,3] => [4,7,6,1,3,2,5] => [3,2,5,7,6,1,4] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,2,7,6,3,5] => [4,7,6,1,2,5,3] => [2,5,3,7,6,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,2,7,6,5,3] => [4,7,6,1,2,3,5] => [2,3,5,7,6,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,2,5,6,7] => [4,7,5,6,3,2,1] => [6,3,2,1,4,7,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,2,5,7,6] => [4,7,5,6,3,1,2] => [2,6,3,1,4,7,5] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,2,6,5,7] => [4,7,5,6,2,3,1] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[4,1,3,2,6,7,5] => [4,7,5,6,2,1,3] => [3,6,2,1,4,7,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,3,2,7,5,6] => [4,7,5,6,1,3,2] => [3,2,6,1,4,7,5] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)
[4,1,3,2,7,6,5] => [4,7,5,6,1,2,3] => [2,3,6,1,4,7,5] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[4,1,3,5,2,6,7] => [4,7,5,3,6,2,1] => [6,2,1,7,5,3,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,5,2,7,6] => [4,7,5,3,6,1,2] => [2,6,1,7,5,3,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,5,6,2,7] => [4,7,5,3,2,6,1] => [6,1,7,5,3,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,1,3,5,6,7,2] => [4,7,5,3,2,1,6] => [6,7,5,3,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,3,5,7,2,6] => [4,7,5,3,1,6,2] => [6,2,7,5,3,1,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,3,5,7,6,2] => [4,7,5,3,1,2,6] => [2,6,7,5,3,1,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,6,2,5,7] => [4,7,5,2,6,3,1] => [6,3,1,7,5,2,4] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,6,2,7,5] => [4,7,5,2,6,1,3] => [3,6,1,7,5,2,4] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,6,5,2,7] => [4,7,5,2,3,6,1] => [6,1,3,7,5,2,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,6,5,7,2] => [4,7,5,2,3,1,6] => [3,1,6,7,5,2,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,6,7,2,5] => [4,7,5,2,1,6,3] => [6,3,7,5,2,1,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,6,7,5,2] => [4,7,5,2,1,3,6] => [3,6,7,5,2,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,7,2,5,6] => [4,7,5,1,6,3,2] => [6,3,2,7,5,1,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,3,7,2,6,5] => [4,7,5,1,6,2,3] => [3,6,2,7,5,1,4] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,7,5,2,6] => [4,7,5,1,3,6,2] => [6,2,3,7,5,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,3,7,5,6,2] => [4,7,5,1,3,2,6] => [3,2,6,7,5,1,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,7,6,2,5] => [4,7,5,1,2,6,3] => [2,6,3,7,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,7,6,5,2] => [4,7,5,1,2,3,6] => [2,3,6,7,5,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,2,3,6,7] => [4,7,3,6,5,2,1] => [6,5,2,1,7,3,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,2,3,7,6] => [4,7,3,6,5,1,2] => [2,6,5,1,7,3,4] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,2,6,3,7] => [4,7,3,6,2,5,1] => [5,1,6,2,7,3,4] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,5,2,6,7,3] => [4,7,3,6,2,1,5] => [5,6,2,1,7,3,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,2,7,3,6] => [4,7,3,6,1,5,2] => [5,2,6,1,7,3,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,1,5,2,7,6,3] => [4,7,3,6,1,2,5] => [2,5,6,1,7,3,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,1,5,3,2,6,7] => [4,7,3,5,6,2,1] => [6,2,1,5,7,3,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,3,2,7,6] => [4,7,3,5,6,1,2] => [2,6,1,5,7,3,4] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,5,3,6,2,7] => [4,7,3,5,2,6,1] => [6,1,5,2,7,3,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,3,6,7,2] => [4,7,3,5,2,1,6] => [5,2,1,6,7,3,4] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,5,3,7,2,6] => [4,7,3,5,1,6,2] => [6,2,5,1,7,3,4] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,3,7,6,2] => [4,7,3,5,1,2,6] => [2,5,1,6,7,3,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,1,5,6,2,3,7] => [4,7,3,2,6,5,1] => [6,5,1,7,3,2,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,6,2,7,3] => [4,7,3,2,6,1,5] => [5,6,1,7,3,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,6,3,2,7] => [4,7,3,2,5,6,1] => [6,1,5,7,3,2,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,6,3,7,2] => [4,7,3,2,5,1,6] => [5,1,6,7,3,2,4] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,5,6,7,2,3] => [4,7,3,2,1,6,5] => [6,5,7,3,2,1,4] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,6,7,3,2] => [4,7,3,2,1,5,6] => [5,6,7,3,2,1,4] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,7,2,3,6] => [4,7,3,1,6,5,2] => [6,5,2,7,3,1,4] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,7,2,6,3] => [4,7,3,1,6,2,5] => [5,6,2,7,3,1,4] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,7,3,2,6] => [4,7,3,1,5,6,2] => [6,2,5,7,3,1,4] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,7,3,6,2] => [4,7,3,1,5,2,6] => [5,2,6,7,3,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,7,6,2,3] => [4,7,3,1,2,6,5] => [2,6,5,7,3,1,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,7,6,3,2] => [4,7,3,1,2,5,6] => [2,5,6,7,3,1,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,2,3,5,7] => [4,7,2,6,5,3,1] => [6,5,3,1,7,2,4] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,2,3,7,5] => [4,7,2,6,5,1,3] => [3,6,5,1,7,2,4] => ([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,6,2,5,3,7] => [4,7,2,6,3,5,1] => [5,1,6,3,7,2,4] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,6,2,5,7,3] => [4,7,2,6,3,1,5] => [5,6,3,1,7,2,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,6,2,7,3,5] => [4,7,2,6,1,5,3] => [5,3,6,1,7,2,4] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)
[4,1,6,2,7,5,3] => [4,7,2,6,1,3,5] => [3,5,6,1,7,2,4] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,1,6,3,2,5,7] => [4,7,2,5,6,3,1] => [6,3,1,5,7,2,4] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,3,2,7,5] => [4,7,2,5,6,1,3] => [3,6,1,5,7,2,4] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,3,5,2,7] => [4,7,2,5,3,6,1] => [6,1,5,3,7,2,4] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,3,5,7,2] => [4,7,2,5,3,1,6] => [5,3,1,6,7,2,4] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,3,7,2,5] => [4,7,2,5,1,6,3] => [6,3,5,1,7,2,4] => ([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,3,7,5,2] => [4,7,2,5,1,3,6] => [3,5,1,6,7,2,4] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,1,6,5,2,3,7] => [4,7,2,3,6,5,1] => [6,5,1,3,7,2,4] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,5,2,7,3] => [4,7,2,3,6,1,5] => [5,6,1,3,7,2,4] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,3,2,7] => [4,7,2,3,5,6,1] => [6,1,3,5,7,2,4] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,5,3,7,2] => [4,7,2,3,5,1,6] => [5,1,3,6,7,2,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,6,5,7,2,3] => [4,7,2,3,1,6,5] => [3,1,6,5,7,2,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,7,3,2] => [4,7,2,3,1,5,6] => [3,1,5,6,7,2,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,1,6,7,2,3,5] => [4,7,2,1,6,5,3] => [6,5,3,7,2,1,4] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,7,2,5,3] => [4,7,2,1,6,3,5] => [5,6,3,7,2,1,4] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,7,3,2,5] => [4,7,2,1,5,6,3] => [6,3,5,7,2,1,4] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,7,3,5,2] => [4,7,2,1,5,3,6] => [5,3,6,7,2,1,4] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,7,5,2,3] => [4,7,2,1,3,6,5] => [3,6,5,7,2,1,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,7,5,3,2] => [4,7,2,1,3,5,6] => [3,5,6,7,2,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,2,3,5,6] => [4,7,1,6,5,3,2] => [6,5,3,2,7,1,4] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,2,3,6,5] => [4,7,1,6,5,2,3] => [3,6,5,2,7,1,4] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,2,5,3,6] => [4,7,1,6,3,5,2] => [5,2,6,3,7,1,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,1,7,2,5,6,3] => [4,7,1,6,3,2,5] => [5,6,3,2,7,1,4] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,7,2,6,3,5] => [4,7,1,6,2,5,3] => [5,3,6,2,7,1,4] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,7,2,6,5,3] => [4,7,1,6,2,3,5] => [3,5,6,2,7,1,4] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,1,7,3,2,5,6] => [4,7,1,5,6,3,2] => [6,3,2,5,7,1,4] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,1,7,3,2,6,5] => [4,7,1,5,6,2,3] => [3,6,2,5,7,1,4] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,7,3,5,2,6] => [4,7,1,5,3,6,2] => [6,2,5,3,7,1,4] => ([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,3,5,6,2] => [4,7,1,5,3,2,6] => [5,3,2,6,7,1,4] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,1,7,3,6,2,5] => [4,7,1,5,2,6,3] => [6,3,5,2,7,1,4] => ([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,3,6,5,2] => [4,7,1,5,2,3,6] => [3,5,2,6,7,1,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,7,5,2,3,6] => [4,7,1,3,6,5,2] => [6,5,2,3,7,1,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,7,5,2,6,3] => [4,7,1,3,6,2,5] => [5,6,2,3,7,1,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,7,5,3,2,6] => [4,7,1,3,5,6,2] => [6,2,3,5,7,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,5,3,6,2] => [4,7,1,3,5,2,6] => [5,2,3,6,7,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,1,7,5,6,2,3] => [4,7,1,3,2,6,5] => [3,2,6,5,7,1,4] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,7,5,6,3,2] => [4,7,1,3,2,5,6] => [3,2,5,6,7,1,4] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,6,2,3,5] => [4,7,1,2,6,5,3] => [2,6,5,3,7,1,4] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,7,6,2,5,3] => [4,7,1,2,6,3,5] => [2,5,6,3,7,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,6,3,2,5] => [4,7,1,2,5,6,3] => [2,6,3,5,7,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,7,6,3,5,2] => [4,7,1,2,5,3,6] => [2,5,3,6,7,1,4] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,1,7,6,5,2,3] => [4,7,1,2,3,6,5] => [2,3,6,5,7,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,6,5,3,2] => [4,7,1,2,3,5,6] => [2,3,5,6,7,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,3,5,6,7] => [4,6,7,5,3,2,1] => [7,5,3,2,1,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,5,7,6] => [4,6,7,5,3,1,2] => [2,7,5,3,1,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,6,5,7] => [4,6,7,5,2,3,1] => [3,1,7,5,2,4,6] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,6,7,5] => [4,6,7,5,2,1,3] => [3,7,5,2,1,4,6] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,7,5,6] => [4,6,7,5,1,3,2] => [3,2,7,5,1,4,6] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,7,6,5] => [4,6,7,5,1,2,3] => [2,3,7,5,1,4,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,5,3,6,7] => [4,6,7,3,5,2,1] => [5,2,1,7,3,4,6] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,5,3,7,6] => [4,6,7,3,5,1,2] => [2,5,1,7,3,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,2,1,5,6,3,7] => [4,6,7,3,2,5,1] => [5,1,7,3,2,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,5,6,7,3] => [4,6,7,3,2,1,5] => [5,7,3,2,1,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,5,7,3,6] => [4,6,7,3,1,5,2] => [5,2,7,3,1,4,6] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,5,7,6,3] => [4,6,7,3,1,2,5] => [2,5,7,3,1,4,6] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,2,1,6,3,5,7] => [4,6,7,2,5,3,1] => [5,3,1,7,2,4,6] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[4,2,1,6,3,7,5] => [4,6,7,2,5,1,3] => [3,5,1,7,2,4,6] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,1,6,5,3,7] => [4,6,7,2,3,5,1] => [5,1,3,7,2,4,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,2,1,6,5,7,3] => [4,6,7,2,3,1,5] => [3,1,5,7,2,4,6] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[4,2,1,6,7,3,5] => [4,6,7,2,1,5,3] => [5,3,7,2,1,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,6,7,5,3] => [4,6,7,2,1,3,5] => [3,5,7,2,1,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,2,1,7,3,5,6] => [4,6,7,1,5,3,2] => [5,3,2,7,1,4,6] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,2,1,7,3,6,5] => [4,6,7,1,5,2,3] => [3,5,2,7,1,4,6] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,1,7,5,3,6] => [4,6,7,1,3,5,2] => [5,2,3,7,1,4,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,2,1,7,5,6,3] => [4,6,7,1,3,2,5] => [3,2,5,7,1,4,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,1,7,6,3,5] => [4,6,7,1,2,5,3] => [2,5,3,7,1,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,2,1,7,6,5,3] => [4,6,7,1,2,3,5] => [2,3,5,7,1,4,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,3,1,5,6,7] => [4,6,5,7,3,2,1] => [7,3,2,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,1,5,7,6] => [4,6,5,7,3,1,2] => [2,7,3,1,4,6,5] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,1,6,5,7] => [4,6,5,7,2,3,1] => [3,1,7,2,4,6,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[4,2,3,1,6,7,5] => [4,6,5,7,2,1,3] => [3,7,2,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,2,3,1,7,5,6] => [4,6,5,7,1,3,2] => [3,2,7,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,2,3,1,7,6,5] => [4,6,5,7,1,2,3] => [2,3,7,1,4,6,5] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,3,5,1,6,7] => [4,6,5,3,7,2,1] => [7,2,1,6,5,3,4] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,1,7,6] => [4,6,5,3,7,1,2] => [2,7,1,6,5,3,4] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,6,1,7] => [4,6,5,3,2,7,1] => [7,1,6,5,3,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,6,7,1] => [4,6,5,3,2,1,7] => [6,5,3,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,7,1,6] => [4,6,5,3,1,7,2] => [7,2,6,5,3,1,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,7,6,1] => [4,6,5,3,1,2,7] => [2,6,5,3,1,4,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,6,1,5,7] => [4,6,5,2,7,3,1] => [7,3,1,6,5,2,4] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,6,1,7,5] => [4,6,5,2,7,1,3] => [3,7,1,6,5,2,4] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,6,5,1,7] => [4,6,5,2,3,7,1] => [7,1,3,6,5,2,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,6,5,7,1] => [4,6,5,2,3,1,7] => [3,1,6,5,2,4,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,2,3,6,7,1,5] => [4,6,5,2,1,7,3] => [7,3,6,5,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,6,7,5,1] => [4,6,5,2,1,3,7] => [3,6,5,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,7,1,5,6] => [4,6,5,1,7,3,2] => [7,3,2,6,5,1,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,7,1,6,5] => [4,6,5,1,7,2,3] => [3,7,2,6,5,1,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,7,5,1,6] => [4,6,5,1,3,7,2] => [7,2,3,6,5,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,7,5,6,1] => [4,6,5,1,3,2,7] => [3,2,6,5,1,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,2,3,7,6,1,5] => [4,6,5,1,2,7,3] => [2,7,3,6,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,7,6,5,1] => [4,6,5,1,2,3,7] => [2,3,6,5,1,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,2,5,1,3,6,7] => [4,6,3,7,5,2,1] => [7,5,2,1,6,3,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,1,3,7,6] => [4,6,3,7,5,1,2] => [2,7,5,1,6,3,4] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,1,6,3,7] => [4,6,3,7,2,5,1] => [5,1,7,2,6,3,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,1,6,7,3] => [4,6,3,7,2,1,5] => [5,7,2,1,6,3,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,1,7,3,6] => [4,6,3,7,1,5,2] => [5,2,7,1,6,3,4] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,1,7,6,3] => [4,6,3,7,1,2,5] => [2,5,7,1,6,3,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)
[4,2,5,3,1,6,7] => [4,6,3,5,7,2,1] => [7,2,1,5,6,3,4] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,5,3,1,7,6] => [4,6,3,5,7,1,2] => [2,7,1,5,6,3,4] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,5,3,6,1,7] => [4,6,3,5,2,7,1] => [7,1,5,2,6,3,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,3,6,7,1] => [4,6,3,5,2,1,7] => [5,2,1,6,3,4,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,2,5,3,7,1,6] => [4,6,3,5,1,7,2] => [7,2,5,1,6,3,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,3,7,6,1] => [4,6,3,5,1,2,7] => [2,5,1,6,3,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[4,2,5,6,1,3,7] => [4,6,3,2,7,5,1] => [7,5,1,6,3,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,5,6,1,7,3] => [4,6,3,2,7,1,5] => [5,7,1,6,3,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[4,2,5,6,3,1,7] => [4,6,3,2,5,7,1] => [7,1,5,6,3,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,5,6,3,7,1] => [4,6,3,2,5,1,7] => [5,1,6,3,2,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,6,7,1,3] => [4,6,3,2,1,7,5] => [7,5,6,3,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,5,6,7,3,1] => [4,6,3,2,1,5,7] => [5,6,3,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,7,1,3,6] => [4,6,3,1,7,5,2] => [7,5,2,6,3,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,7,1,6,3] => [4,6,3,1,7,2,5] => [5,7,2,6,3,1,4] => ([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,2,5,7,3,1,6] => [4,6,3,1,5,7,2] => [7,2,5,6,3,1,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,7,3,6,1] => [4,6,3,1,5,2,7] => [5,2,6,3,1,4,7] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,7,6,1,3] => [4,6,3,1,2,7,5] => [2,7,5,6,3,1,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,7,6,3,1] => [4,6,3,1,2,5,7] => [2,5,6,3,1,4,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,6,1,3,5,7] => [4,6,2,7,5,3,1] => [7,5,3,1,6,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,1,3,7,5] => [4,6,2,7,5,1,3] => [3,7,5,1,6,2,4] => ([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,1,5,3,7] => [4,6,2,7,3,5,1] => [5,1,7,3,6,2,4] => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,2,6,1,5,7,3] => [4,6,2,7,3,1,5] => [5,7,3,1,6,2,4] => ([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,2,6,1,7,3,5] => [4,6,2,7,1,5,3] => [5,3,7,1,6,2,4] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,6,1,7,5,3] => [4,6,2,7,1,3,5] => [3,5,7,1,6,2,4] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)
[4,2,6,3,1,5,7] => [4,6,2,5,7,3,1] => [7,3,1,5,6,2,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,3,1,7,5] => [4,6,2,5,7,1,3] => [3,7,1,5,6,2,4] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,3,5,1,7] => [4,6,2,5,3,7,1] => [7,1,5,3,6,2,4] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,3,5,7,1] => [4,6,2,5,3,1,7] => [5,3,1,6,2,4,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,3,7,1,5] => [4,6,2,5,1,7,3] => [7,3,5,1,6,2,4] => ([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,3,7,5,1] => [4,6,2,5,1,3,7] => [3,5,1,6,2,4,7] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[4,2,6,5,1,3,7] => [4,6,2,3,7,5,1] => [7,5,1,3,6,2,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,5,1,7,3] => [4,6,2,3,7,1,5] => [5,7,1,3,6,2,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,5,3,1,7] => [4,6,2,3,5,7,1] => [7,1,3,5,6,2,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,5,3,7,1] => [4,6,2,3,5,1,7] => [5,1,3,6,2,4,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,2,6,5,7,1,3] => [4,6,2,3,1,7,5] => [3,1,7,5,6,2,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,5,7,3,1] => [4,6,2,3,1,5,7] => [3,1,5,6,2,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[4,2,6,7,1,3,5] => [4,6,2,1,7,5,3] => [7,5,3,6,2,1,4] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,7,1,5,3] => [4,6,2,1,7,3,5] => [5,7,3,6,2,1,4] => ([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,2,6,7,3,1,5] => [4,6,2,1,5,7,3] => [7,3,5,6,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,7,3,5,1] => [4,6,2,1,5,3,7] => [5,3,6,2,1,4,7] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,2,6,7,5,1,3] => [4,6,2,1,3,7,5] => [3,7,5,6,2,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,7,5,3,1] => [4,6,2,1,3,5,7] => [3,5,6,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,1,3,5,6] => [4,6,1,7,5,3,2] => [7,5,3,2,6,1,4] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,1,3,6,5] => [4,6,1,7,5,2,3] => [3,7,5,2,6,1,4] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,1,5,3,6] => [4,6,1,7,3,5,2] => [5,2,7,3,6,1,4] => ([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,7,1,5,6,3] => [4,6,1,7,3,2,5] => [5,7,3,2,6,1,4] => ([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,2,7,1,6,3,5] => [4,6,1,7,2,5,3] => [5,3,7,2,6,1,4] => ([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,1,6,5,3] => [4,6,1,7,2,3,5] => [3,5,7,2,6,1,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,3,1,5,6] => [4,6,1,5,7,3,2] => [7,3,2,5,6,1,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,3,1,6,5] => [4,6,1,5,7,2,3] => [3,7,2,5,6,1,4] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,3,5,1,6] => [4,6,1,5,3,7,2] => [7,2,5,3,6,1,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,3,5,6,1] => [4,6,1,5,3,2,7] => [5,3,2,6,1,4,7] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,3,6,1,5] => [4,6,1,5,2,7,3] => [7,3,5,2,6,1,4] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,3,6,5,1] => [4,6,1,5,2,3,7] => [3,5,2,6,1,4,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,5,1,3,6] => [4,6,1,3,7,5,2] => [7,5,2,3,6,1,4] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,5,1,6,3] => [4,6,1,3,7,2,5] => [5,7,2,3,6,1,4] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,2,7,5,3,1,6] => [4,6,1,3,5,7,2] => [7,2,3,5,6,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,5,3,6,1] => [4,6,1,3,5,2,7] => [5,2,3,6,1,4,7] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,5,6,1,3] => [4,6,1,3,2,7,5] => [3,2,7,5,6,1,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,5,6,3,1] => [4,6,1,3,2,5,7] => [3,2,5,6,1,4,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,2,7,6,1,3,5] => [4,6,1,2,7,5,3] => [2,7,5,3,6,1,4] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,6,1,5,3] => [4,6,1,2,7,3,5] => [2,5,7,3,6,1,4] => ([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,6,3,1,5] => [4,6,1,2,5,7,3] => [2,7,3,5,6,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,6,3,5,1] => [4,6,1,2,5,3,7] => [2,5,3,6,1,4,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,2,7,6,5,1,3] => [4,6,1,2,3,7,5] => [2,3,7,5,6,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,6,5,3,1] => [4,6,1,2,3,5,7] => [2,3,5,6,1,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,1,2,5,6,7] => [4,5,7,6,3,2,1] => [7,6,3,2,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,2,5,7,6] => [4,5,7,6,3,1,2] => [2,7,6,3,1,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,2,6,5,7] => [4,5,7,6,2,3,1] => [3,1,7,6,2,4,5] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,3,1,2,6,7,5] => [4,5,7,6,2,1,3] => [3,7,6,2,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,2,7,5,6] => [4,5,7,6,1,3,2] => [3,2,7,6,1,4,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,2,7,6,5] => [4,5,7,6,1,2,3] => [2,3,7,6,1,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,1,5,2,6,7] => [4,5,7,3,6,2,1] => [6,2,1,7,3,4,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,1,5,2,7,6] => [4,5,7,3,6,1,2] => [2,6,1,7,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[4,3,1,5,6,2,7] => [4,5,7,3,2,6,1] => [6,1,7,3,2,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,1,5,6,7,2] => [4,5,7,3,2,1,6] => [6,7,3,2,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,1,5,7,2,6] => [4,5,7,3,1,6,2] => [6,2,7,3,1,4,5] => ([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,3,1,5,7,6,2] => [4,5,7,3,1,2,6] => [2,6,7,3,1,4,5] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,1,6,2,5,7] => [4,5,7,2,6,3,1] => [6,3,1,7,2,4,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,1,6,2,7,5] => [4,5,7,2,6,1,3] => [3,6,1,7,2,4,5] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,3,1,6,5,2,7] => [4,5,7,2,3,6,1] => [6,1,3,7,2,4,5] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,3,1,6,5,7,2] => [4,5,7,2,3,1,6] => [3,1,6,7,2,4,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,3,1,6,7,2,5] => [4,5,7,2,1,6,3] => [6,3,7,2,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,1,6,7,5,2] => [4,5,7,2,1,3,6] => [3,6,7,2,1,4,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,1,7,2,5,6] => [4,5,7,1,6,3,2] => [6,3,2,7,1,4,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,3,1,7,2,6,5] => [4,5,7,1,6,2,3] => [3,6,2,7,1,4,5] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,7,5,2,6] => [4,5,7,1,3,6,2] => [6,2,3,7,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,3,1,7,5,6,2] => [4,5,7,1,3,2,6] => [3,2,6,7,1,4,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,1,7,6,2,5] => [4,5,7,1,2,6,3] => [2,6,3,7,1,4,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,1,7,6,5,2] => [4,5,7,1,2,3,6] => [2,3,6,7,1,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,2,1,5,6,7] => [4,5,6,7,3,2,1] => [7,3,2,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,5,7,6] => [4,5,6,7,3,1,2] => [2,7,3,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,2,1,6,5,7] => [4,5,6,7,2,3,1] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,3,2,1,6,7,5] => [4,5,6,7,2,1,3] => [3,7,2,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,2,1,7,5,6] => [4,5,6,7,1,3,2] => [3,2,7,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,3,2,1,7,6,5] => [4,5,6,7,1,2,3] => [2,3,7,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,3,2,5,1,6,7] => [4,5,6,3,7,2,1] => [7,2,1,6,3,4,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,1,7,6] => [4,5,6,3,7,1,2] => [2,7,1,6,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,2,5,6,1,7] => [4,5,6,3,2,7,1] => [7,1,6,3,2,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,6,7,1] => [4,5,6,3,2,1,7] => [6,3,2,1,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,7,1,6] => [4,5,6,3,1,7,2] => [7,2,6,3,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,7,6,1] => [4,5,6,3,1,2,7] => [2,6,3,1,4,5,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,2,6,1,5,7] => [4,5,6,2,7,3,1] => [7,3,1,6,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,1,7,5] => [4,5,6,2,7,1,3] => [3,7,1,6,2,4,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,3,2,6,5,1,7] => [4,5,6,2,3,7,1] => [7,1,3,6,2,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,5,7,1] => [4,5,6,2,3,1,7] => [3,1,6,2,4,5,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,3,2,6,7,1,5] => [4,5,6,2,1,7,3] => [7,3,6,2,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,7,5,1] => [4,5,6,2,1,3,7] => [3,6,2,1,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,2,7,1,5,6] => [4,5,6,1,7,3,2] => [7,3,2,6,1,4,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,7,1,6,5] => [4,5,6,1,7,2,3] => [3,7,2,6,1,4,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,7,5,1,6] => [4,5,6,1,3,7,2] => [7,2,3,6,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,7,5,6,1] => [4,5,6,1,3,2,7] => [3,2,6,1,4,5,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,3,2,7,6,1,5] => [4,5,6,1,2,7,3] => [2,7,3,6,1,4,5] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,7,6,5,1] => [4,5,6,1,2,3,7] => [2,3,6,1,4,5,7] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,3,5,1,2,6,7] => [4,5,3,7,6,2,1] => [7,6,2,1,5,3,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,1,2,7,6] => [4,5,3,7,6,1,2] => [2,7,6,1,5,3,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,1,6,2,7] => [4,5,3,7,2,6,1] => [6,1,7,2,5,3,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,1,6,7,2] => [4,5,3,7,2,1,6] => [6,7,2,1,5,3,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,1,7,2,6] => [4,5,3,7,1,6,2] => [6,2,7,1,5,3,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,3,5,1,7,6,2] => [4,5,3,7,1,2,6] => [2,6,7,1,5,3,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,5,2,1,6,7] => [4,5,3,6,7,2,1] => [7,2,1,5,3,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,1,7,6] => [4,5,3,6,7,1,2] => [2,7,1,5,3,4,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,5,2,6,1,7] => [4,5,3,6,2,7,1] => [7,1,6,2,5,3,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,6,7,1] => [4,5,3,6,2,1,7] => [6,2,1,5,3,4,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,7,1,6] => [4,5,3,6,1,7,2] => [7,2,6,1,5,3,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,7,6,1] => [4,5,3,6,1,2,7] => [2,6,1,5,3,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,5,6,1,2,7] => [4,5,3,2,7,6,1] => [7,6,1,5,3,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,1,7,2] => [4,5,3,2,7,1,6] => [6,7,1,5,3,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,6,2,1,7] => [4,5,3,2,6,7,1] => [7,1,5,3,2,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,2,7,1] => [4,5,3,2,6,1,7] => [6,1,5,3,2,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,7,1,2] => [4,5,3,2,1,7,6] => [5,3,2,1,4,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,7,2,1] => [4,5,3,2,1,6,7] => [5,3,2,1,4,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,7,1,2,6] => [4,5,3,1,7,6,2] => [7,6,2,5,3,1,4] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,7,1,6,2] => [4,5,3,1,7,2,6] => [6,7,2,5,3,1,4] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,7,2,1,6] => [4,5,3,1,6,7,2] => [7,2,5,3,1,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,7,2,6,1] => [4,5,3,1,6,2,7] => [6,2,5,3,1,4,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,7,6,1,2] => [4,5,3,1,2,7,6] => [2,5,3,1,4,7,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,5,7,6,2,1] => [4,5,3,1,2,6,7] => [2,5,3,1,4,6,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,6,1,2,5,7] => [4,5,2,7,6,3,1] => [7,6,3,1,5,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,1,2,7,5] => [4,5,2,7,6,1,3] => [3,7,6,1,5,2,4] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,1,5,2,7] => [4,5,2,7,3,6,1] => [6,1,7,3,5,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,1,5,7,2] => [4,5,2,7,3,1,6] => [6,7,3,1,5,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,1,7,2,5] => [4,5,2,7,1,6,3] => [6,3,7,1,5,2,4] => ([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,6,1,7,5,2] => [4,5,2,7,1,3,6] => [3,6,7,1,5,2,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,6,2,1,5,7] => [4,5,2,6,7,3,1] => [7,3,1,5,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,6,2,1,7,5] => [4,5,2,6,7,1,3] => [3,7,1,5,2,4,6] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,2,5,1,7] => [4,5,2,6,3,7,1] => [7,1,6,3,5,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,2,5,7,1] => [4,5,2,6,3,1,7] => [6,3,1,5,2,4,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,6,2,7,1,5] => [4,5,2,6,1,7,3] => [7,3,6,1,5,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,2,7,5,1] => [4,5,2,6,1,3,7] => [3,6,1,5,2,4,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,1,2,7] => [4,5,2,3,7,6,1] => [7,6,1,3,5,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,1,7,2] => [4,5,2,3,7,1,6] => [6,7,1,3,5,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,5,2,1,7] => [4,5,2,3,6,7,1] => [7,1,3,5,2,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,2,7,1] => [4,5,2,3,6,1,7] => [6,1,3,5,2,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,7,1,2] => [4,5,2,3,1,7,6] => [3,1,5,2,4,7,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[4,3,6,5,7,2,1] => [4,5,2,3,1,6,7] => [3,1,5,2,4,6,7] => ([(2,6),(3,5),(4,5),(4,6)],7)
[4,3,6,7,1,2,5] => [4,5,2,1,7,6,3] => [7,6,3,5,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,7,1,5,2] => [4,5,2,1,7,3,6] => [6,7,3,5,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,7,2,1,5] => [4,5,2,1,6,7,3] => [7,3,5,2,1,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,7,2,5,1] => [4,5,2,1,6,3,7] => [6,3,5,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,7,5,1,2] => [4,5,2,1,3,7,6] => [3,5,2,1,4,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,7,5,2,1] => [4,5,2,1,3,6,7] => [3,5,2,1,4,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,7,1,2,5,6] => [4,5,1,7,6,3,2] => [7,6,3,2,5,1,4] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,1,2,6,5] => [4,5,1,7,6,2,3] => [3,7,6,2,5,1,4] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,1,5,2,6] => [4,5,1,7,3,6,2] => [6,2,7,3,5,1,4] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,1,5,6,2] => [4,5,1,7,3,2,6] => [6,7,3,2,5,1,4] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,1,6,2,5] => [4,5,1,7,2,6,3] => [6,3,7,2,5,1,4] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,1,6,5,2] => [4,5,1,7,2,3,6] => [3,6,7,2,5,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,2,1,5,6] => [4,5,1,6,7,3,2] => [7,3,2,5,1,4,6] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,2,1,6,5] => [4,5,1,6,7,2,3] => [3,7,2,5,1,4,6] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,2,5,1,6] => [4,5,1,6,3,7,2] => [7,2,6,3,5,1,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,2,5,6,1] => [4,5,1,6,3,2,7] => [6,3,2,5,1,4,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,2,6,1,5] => [4,5,1,6,2,7,3] => [7,3,6,2,5,1,4] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,2,6,5,1] => [4,5,1,6,2,3,7] => [3,6,2,5,1,4,7] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,5,1,2,6] => [4,5,1,3,7,6,2] => [7,6,2,3,5,1,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,5,1,6,2] => [4,5,1,3,7,2,6] => [6,7,2,3,5,1,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,7,5,2,1,6] => [4,5,1,3,6,7,2] => [7,2,3,5,1,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,5,2,6,1] => [4,5,1,3,6,2,7] => [6,2,3,5,1,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,5,6,1,2] => [4,5,1,3,2,7,6] => [3,2,5,1,4,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,5,6,2,1] => [4,5,1,3,2,6,7] => [3,2,5,1,4,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,3,7,6,1,2,5] => [4,5,1,2,7,6,3] => [2,7,6,3,5,1,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,6,1,5,2] => [4,5,1,2,7,3,6] => [2,6,7,3,5,1,4] => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,7,6,2,1,5] => [4,5,1,2,6,7,3] => [2,7,3,5,1,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,6,2,5,1] => [4,5,1,2,6,3,7] => [2,6,3,5,1,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,7,6,5,1,2] => [4,5,1,2,3,7,6] => [2,3,5,1,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[4,3,7,6,5,2,1] => [4,5,1,2,3,6,7] => [2,3,5,1,4,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[4,5,1,2,3,6,7] => [4,3,7,6,5,2,1] => [7,6,5,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,2,3,7,6] => [4,3,7,6,5,1,2] => [2,7,6,5,1,4,3] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,2,6,3,7] => [4,3,7,6,2,5,1] => [5,1,7,6,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[4,5,1,2,6,7,3] => [4,3,7,6,2,1,5] => [5,7,6,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,2,7,3,6] => [4,3,7,6,1,5,2] => [5,2,7,6,1,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,5,1,2,7,6,3] => [4,3,7,6,1,2,5] => [2,5,7,6,1,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[4,5,1,3,2,6,7] => [4,3,7,5,6,2,1] => [6,2,1,4,3,7,5] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,1,3,2,7,6] => [4,3,7,5,6,1,2] => [2,6,1,4,3,7,5] => ([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,1,3,6,2,7] => [4,3,7,5,2,6,1] => [6,1,7,5,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,5,1,3,6,7,2] => [4,3,7,5,2,1,6] => [6,7,5,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,1,3,7,2,6] => [4,3,7,5,1,6,2] => [6,2,7,5,1,4,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,5,1,3,7,6,2] => [4,3,7,5,1,2,6] => [2,6,7,5,1,4,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,6,2,3,7] => [4,3,7,2,6,5,1] => [6,5,1,7,2,4,3] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,6,2,7,3] => [4,3,7,2,6,1,5] => [5,6,1,7,2,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,6,3,2,7] => [4,3,7,2,5,6,1] => [6,1,5,7,2,4,3] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,6,3,7,2] => [4,3,7,2,5,1,6] => [5,1,6,7,2,4,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,5,1,6,7,2,3] => [4,3,7,2,1,6,5] => [6,5,7,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,6,7,3,2] => [4,3,7,2,1,5,6] => [5,6,7,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,5,1,7,2,3,6] => [4,3,7,1,6,5,2] => [6,5,2,7,1,4,3] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,7,2,6,3] => [4,3,7,1,6,2,5] => [5,6,2,7,1,4,3] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,1,7,3,2,6] => [4,3,7,1,5,6,2] => [6,2,5,7,1,4,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,5,1,7,3,6,2] => [4,3,7,1,5,2,6] => [5,2,6,7,1,4,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,5,1,7,6,2,3] => [4,3,7,1,2,6,5] => [2,6,5,7,1,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[4,5,1,7,6,3,2] => [4,3,7,1,2,5,6] => [2,5,6,7,1,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[4,5,2,1,3,6,7] => [4,3,6,7,5,2,1] => [7,5,2,1,4,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,1,3,7,6] => [4,3,6,7,5,1,2] => [2,7,5,1,4,3,6] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,1,6,3,7] => [4,3,6,7,2,5,1] => [5,1,7,2,4,3,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,1,6,7,3] => [4,3,6,7,2,1,5] => [5,7,2,1,4,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,1,7,3,6] => [4,3,6,7,1,5,2] => [5,2,7,1,4,3,6] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,1,7,6,3] => [4,3,6,7,1,2,5] => [2,5,7,1,4,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,5,2,3,1,6,7] => [4,3,6,5,7,2,1] => [7,2,1,4,3,6,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,2,3,1,7,6] => [4,3,6,5,7,1,2] => [2,7,1,4,3,6,5] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,2,3,6,1,7] => [4,3,6,5,2,7,1] => [7,1,6,5,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,3,6,7,1] => [4,3,6,5,2,1,7] => [6,5,2,1,4,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,3,7,1,6] => [4,3,6,5,1,7,2] => [7,2,6,5,1,4,3] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,3,7,6,1] => [4,3,6,5,1,2,7] => [2,6,5,1,4,3,7] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,6,1,3,7] => [4,3,6,2,7,5,1] => [7,5,1,6,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,2,6,1,7,3] => [4,3,6,2,7,1,5] => [5,7,1,6,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[4,5,2,6,3,1,7] => [4,3,6,2,5,7,1] => [7,1,5,6,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,2,6,3,7,1] => [4,3,6,2,5,1,7] => [5,1,6,2,4,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,6,7,1,3] => [4,3,6,2,1,7,5] => [7,5,6,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,2,6,7,3,1] => [4,3,6,2,1,5,7] => [5,6,2,1,4,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,7,1,3,6] => [4,3,6,1,7,5,2] => [7,5,2,6,1,4,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,7,1,6,3] => [4,3,6,1,7,2,5] => [5,7,2,6,1,4,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,5,2,7,3,1,6] => [4,3,6,1,5,7,2] => [7,2,5,6,1,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,7,3,6,1] => [4,3,6,1,5,2,7] => [5,2,6,1,4,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,5,2,7,6,1,3] => [4,3,6,1,2,7,5] => [2,7,5,6,1,4,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,7,6,3,1] => [4,3,6,1,2,5,7] => [2,5,6,1,4,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,3,1,2,6,7] => [4,3,5,7,6,2,1] => [7,6,2,1,4,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,1,2,7,6] => [4,3,5,7,6,1,2] => [2,7,6,1,4,3,5] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,1,6,2,7] => [4,3,5,7,2,6,1] => [6,1,7,2,4,3,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,1,6,7,2] => [4,3,5,7,2,1,6] => [6,7,2,1,4,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,1,7,2,6] => [4,3,5,7,1,6,2] => [6,2,7,1,4,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,1,7,6,2] => [4,3,5,7,1,2,6] => [2,6,7,1,4,3,5] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,2,1,6,7] => [4,3,5,6,7,2,1] => [7,2,1,4,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,5,3,2,1,7,6] => [4,3,5,6,7,1,2] => [2,7,1,4,3,5,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,6,1,7] => [4,3,5,6,2,7,1] => [7,1,6,2,4,3,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,6,7,1] => [4,3,5,6,2,1,7] => [6,2,1,4,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,5,3,2,7,1,6] => [4,3,5,6,1,7,2] => [7,2,6,1,4,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,7,6,1] => [4,3,5,6,1,2,7] => [2,6,1,4,3,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,5,3,6,1,2,7] => [4,3,5,2,7,6,1] => [7,6,1,5,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,1,7,2] => [4,3,5,2,7,1,6] => [6,7,1,5,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,6,2,1,7] => [4,3,5,2,6,7,1] => [7,1,5,2,4,3,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,2,7,1] => [4,3,5,2,6,1,7] => [6,1,5,2,4,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,7,1,2] => [4,3,5,2,1,7,6] => [5,2,1,4,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,5,3,6,7,2,1] => [4,3,5,2,1,6,7] => [5,2,1,4,3,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,5,3,7,1,2,6] => [4,3,5,1,7,6,2] => [7,6,2,5,1,4,3] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,7,1,6,2] => [4,3,5,1,7,2,6] => [6,7,2,5,1,4,3] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,7,2,1,6] => [4,3,5,1,6,7,2] => [7,2,5,1,4,3,6] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,7,2,6,1] => [4,3,5,1,6,2,7] => [6,2,5,1,4,3,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,7,6,1,2] => [4,3,5,1,2,7,6] => [2,5,1,4,3,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,7,6,2,1] => [4,3,5,1,2,6,7] => [2,5,1,4,3,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,5,6,1,2,3,7] => [4,3,2,7,6,5,1] => [7,6,5,1,4,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,1,2,7,3] => [4,3,2,7,6,1,5] => [5,7,6,1,4,3,2] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,1,3,2,7] => [4,3,2,7,5,6,1] => [6,1,4,3,2,7,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,1,3,7,2] => [4,3,2,7,5,1,6] => [6,7,5,1,4,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,6,1,7,2,3] => [4,3,2,7,1,6,5] => [6,5,7,1,4,3,2] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,1,7,3,2] => [4,3,2,7,1,5,6] => [5,6,7,1,4,3,2] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,2,1,3,7] => [4,3,2,6,7,5,1] => [7,5,1,4,3,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,2,1,7,3] => [4,3,2,6,7,1,5] => [5,7,1,4,3,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,6,2,3,1,7] => [4,3,2,6,5,7,1] => [7,1,4,3,2,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,2,3,7,1] => [4,3,2,6,5,1,7] => [6,5,1,4,3,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,2,7,1,3] => [4,3,2,6,1,7,5] => [7,5,6,1,4,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,6,2,7,3,1] => [4,3,2,6,1,5,7] => [5,6,1,4,3,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,6,3,1,2,7] => [4,3,2,5,7,6,1] => [7,6,1,4,3,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,3,1,7,2] => [4,3,2,5,7,1,6] => [6,7,1,4,3,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,6,3,2,1,7] => [4,3,2,5,6,7,1] => [7,1,4,3,2,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,3,2,7,1] => [4,3,2,5,6,1,7] => [6,1,4,3,2,5,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,3,7,1,2] => [4,3,2,5,1,7,6] => [5,1,4,3,2,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,3,7,2,1] => [4,3,2,5,1,6,7] => [5,1,4,3,2,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,7,1,2,3] => [4,3,2,1,7,6,5] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,7,1,3,2] => [4,3,2,1,7,5,6] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,7,2,1,3] => [4,3,2,1,6,7,5] => [4,3,2,1,7,5,6] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,7,2,3,1] => [4,3,2,1,6,5,7] => [4,3,2,1,6,5,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,7,3,1,2] => [4,3,2,1,5,7,6] => [4,3,2,1,5,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,7,3,2,1] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,1,2,3,6] => [4,3,1,7,6,5,2] => [7,6,5,2,4,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,1,2,6,3] => [4,3,1,7,6,2,5] => [5,7,6,2,4,3,1] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,1,3,2,6] => [4,3,1,7,5,6,2] => [6,2,4,3,1,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,1,3,6,2] => [4,3,1,7,5,2,6] => [6,7,5,2,4,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,1,6,2,3] => [4,3,1,7,2,6,5] => [6,5,7,2,4,3,1] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,1,6,3,2] => [4,3,1,7,2,5,6] => [5,6,7,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,2,1,3,6] => [4,3,1,6,7,5,2] => [7,5,2,4,3,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,2,1,6,3] => [4,3,1,6,7,2,5] => [5,7,2,4,3,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,5,7,2,3,1,6] => [4,3,1,6,5,7,2] => [7,2,4,3,1,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,2,3,6,1] => [4,3,1,6,5,2,7] => [6,5,2,4,3,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,2,6,1,3] => [4,3,1,6,2,7,5] => [7,5,6,2,4,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,2,6,3,1] => [4,3,1,6,2,5,7] => [5,6,2,4,3,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,7,3,1,2,6] => [4,3,1,5,7,6,2] => [7,6,2,4,3,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,3,1,6,2] => [4,3,1,5,7,2,6] => [6,7,2,4,3,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,7,3,2,1,6] => [4,3,1,5,6,7,2] => [7,2,4,3,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,3,2,6,1] => [4,3,1,5,6,2,7] => [6,2,4,3,1,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,3,6,1,2] => [4,3,1,5,2,7,6] => [5,2,4,3,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,3,6,2,1] => [4,3,1,5,2,6,7] => [5,2,4,3,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,6,1,2,3] => [4,3,1,2,7,6,5] => [2,4,3,1,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[4,5,7,6,1,3,2] => [4,3,1,2,7,5,6] => [2,4,3,1,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[4,5,7,6,2,1,3] => [4,3,1,2,6,7,5] => [2,4,3,1,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[4,5,7,6,2,3,1] => [4,3,1,2,6,5,7] => [2,4,3,1,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,6,3,1,2] => [4,3,1,2,5,7,6] => [2,4,3,1,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,6,3,2,1] => [4,3,1,2,5,6,7] => [2,4,3,1,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,2,3,5,7] => [4,2,7,6,5,3,1] => [7,6,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,2,3,7,5] => [4,2,7,6,5,1,3] => [3,7,6,5,1,4,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,2,5,3,7] => [4,2,7,6,3,5,1] => [5,1,7,6,3,4,2] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,2,5,7,3] => [4,2,7,6,3,1,5] => [5,7,6,3,1,4,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,2,7,3,5] => [4,2,7,6,1,5,3] => [5,3,7,6,1,4,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,6,1,2,7,5,3] => [4,2,7,6,1,3,5] => [3,5,7,6,1,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[4,6,1,3,2,5,7] => [4,2,7,5,6,3,1] => [6,3,1,4,2,7,5] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,3,2,7,5] => [4,2,7,5,6,1,3] => [3,6,1,4,2,7,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,1,3,5,2,7] => [4,2,7,5,3,6,1] => [6,1,7,5,3,4,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,3,5,7,2] => [4,2,7,5,3,1,6] => [6,7,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,1,3,7,2,5] => [4,2,7,5,1,6,3] => [6,3,7,5,1,4,2] => ([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,3,7,5,2] => [4,2,7,5,1,3,6] => [3,6,7,5,1,4,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,6,1,5,2,3,7] => [4,2,7,3,6,5,1] => [6,5,1,7,3,4,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,5,2,7,3] => [4,2,7,3,6,1,5] => [5,6,1,7,3,4,2] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,1,5,3,2,7] => [4,2,7,3,5,6,1] => [6,1,5,7,3,4,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,5,3,7,2] => [4,2,7,3,5,1,6] => [5,1,6,7,3,4,2] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,5,7,2,3] => [4,2,7,3,1,6,5] => [6,5,7,3,1,4,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,5,7,3,2] => [4,2,7,3,1,5,6] => [5,6,7,3,1,4,2] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,7,2,3,5] => [4,2,7,1,6,5,3] => [6,5,3,7,1,4,2] => ([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,6,1,7,2,5,3] => [4,2,7,1,6,3,5] => [5,6,3,7,1,4,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,6,1,7,3,2,5] => [4,2,7,1,5,6,3] => [6,3,5,7,1,4,2] => ([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,6,1,7,3,5,2] => [4,2,7,1,5,3,6] => [5,3,6,7,1,4,2] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,6,1,7,5,2,3] => [4,2,7,1,3,6,5] => [3,6,5,7,1,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[4,6,1,7,5,3,2] => [4,2,7,1,3,5,6] => [3,5,6,7,1,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[4,6,2,1,3,5,7] => [4,2,6,7,5,3,1] => [7,5,3,1,4,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,1,3,7,5] => [4,2,6,7,5,1,3] => [3,7,5,1,4,2,6] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,1,5,3,7] => [4,2,6,7,3,5,1] => [5,1,7,3,4,2,6] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,1,5,7,3] => [4,2,6,7,3,1,5] => [5,7,3,1,4,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,1,7,3,5] => [4,2,6,7,1,5,3] => [5,3,7,1,4,2,6] => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,6,2,1,7,5,3] => [4,2,6,7,1,3,5] => [3,5,7,1,4,2,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,2,3,1,5,7] => [4,2,6,5,7,3,1] => [7,3,1,4,2,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,1,7,5] => [4,2,6,5,7,1,3] => [3,7,1,4,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,6,2,3,5,1,7] => [4,2,6,5,3,7,1] => [7,1,6,5,3,4,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,5,7,1] => [4,2,6,5,3,1,7] => [6,5,3,1,4,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,7,1,5] => [4,2,6,5,1,7,3] => [7,3,6,5,1,4,2] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,7,5,1] => [4,2,6,5,1,3,7] => [3,6,5,1,4,2,7] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,6,2,5,1,3,7] => [4,2,6,3,7,5,1] => [7,5,1,6,3,4,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,5,1,7,3] => [4,2,6,3,7,1,5] => [5,7,1,6,3,4,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,6,2,5,3,1,7] => [4,2,6,3,5,7,1] => [7,1,5,6,3,4,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,5,3,7,1] => [4,2,6,3,5,1,7] => [5,1,6,3,4,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,5,7,1,3] => [4,2,6,3,1,7,5] => [7,5,6,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,2,5,7,3,1] => [4,2,6,3,1,5,7] => [5,6,3,1,4,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,7,1,3,5] => [4,2,6,1,7,5,3] => [7,5,3,6,1,4,2] => ([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,7,1,5,3] => [4,2,6,1,7,3,5] => [5,7,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,7,3,1,5] => [4,2,6,1,5,7,3] => [7,3,5,6,1,4,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,2,7,3,5,1] => [4,2,6,1,5,3,7] => [5,3,6,1,4,2,7] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,7,5,1,3] => [4,2,6,1,3,7,5] => [3,7,5,6,1,4,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,6,2,7,5,3,1] => [4,2,6,1,3,5,7] => [3,5,6,1,4,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,1,2,5,7] => [4,2,5,7,6,3,1] => [7,6,3,1,4,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,2,7,5] => [4,2,5,7,6,1,3] => [3,7,6,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,5,2,7] => [4,2,5,7,3,6,1] => [6,1,7,3,4,2,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,1,5,7,2] => [4,2,5,7,3,1,6] => [6,7,3,1,4,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,1,7,2,5] => [4,2,5,7,1,6,3] => [6,3,7,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,1,7,5,2] => [4,2,5,7,1,3,6] => [3,6,7,1,4,2,5] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,2,1,5,7] => [4,2,5,6,7,3,1] => [7,3,1,4,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,1,7,5] => [4,2,5,6,7,1,3] => [3,7,1,4,2,5,6] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,6,3,2,5,1,7] => [4,2,5,6,3,7,1] => [7,1,6,3,4,2,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,5,7,1] => [4,2,5,6,3,1,7] => [6,3,1,4,2,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,7,1,5] => [4,2,5,6,1,7,3] => [7,3,6,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,7,5,1] => [4,2,5,6,1,3,7] => [3,6,1,4,2,5,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,6,3,5,1,2,7] => [4,2,5,3,7,6,1] => [7,6,1,5,3,4,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,1,7,2] => [4,2,5,3,7,1,6] => [6,7,1,5,3,4,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,5,2,1,7] => [4,2,5,3,6,7,1] => [7,1,5,3,4,2,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,2,7,1] => [4,2,5,3,6,1,7] => [6,1,5,3,4,2,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,7,1,2] => [4,2,5,3,1,7,6] => [5,3,1,4,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,7,2,1] => [4,2,5,3,1,6,7] => [5,3,1,4,2,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,7,1,2,5] => [4,2,5,1,7,6,3] => [7,6,3,5,1,4,2] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,7,1,5,2] => [4,2,5,1,7,3,6] => [6,7,3,5,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,7,2,1,5] => [4,2,5,1,6,7,3] => [7,3,5,1,4,2,6] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,7,2,5,1] => [4,2,5,1,6,3,7] => [6,3,5,1,4,2,7] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,7,5,1,2] => [4,2,5,1,3,7,6] => [3,5,1,4,2,7,6] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,6,3,7,5,2,1] => [4,2,5,1,3,6,7] => [3,5,1,4,2,6,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,6,5,1,2,3,7] => [4,2,3,7,6,5,1] => [7,6,5,1,3,4,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,2,7,3] => [4,2,3,7,6,1,5] => [5,7,6,1,3,4,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,6,5,1,3,2,7] => [4,2,3,7,5,6,1] => [6,1,3,4,2,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,5,1,3,7,2] => [4,2,3,7,5,1,6] => [6,7,5,1,3,4,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,5,1,7,2,3] => [4,2,3,7,1,6,5] => [6,5,7,1,3,4,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,6,5,1,7,3,2] => [4,2,3,7,1,5,6] => [5,6,7,1,3,4,2] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[4,6,5,2,1,3,7] => [4,2,3,6,7,5,1] => [7,5,1,3,4,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,1,7,3] => [4,2,3,6,7,1,5] => [5,7,1,3,4,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,5,2,3,1,7] => [4,2,3,6,5,7,1] => [7,1,3,4,2,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,3,7,1] => [4,2,3,6,5,1,7] => [6,5,1,3,4,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,7,1,3] => [4,2,3,6,1,7,5] => [7,5,6,1,3,4,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,5,2,7,3,1] => [4,2,3,6,1,5,7] => [5,6,1,3,4,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,5,3,1,2,7] => [4,2,3,5,7,6,1] => [7,6,1,3,4,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,1,7,2] => [4,2,3,5,7,1,6] => [6,7,1,3,4,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,5,3,2,1,7] => [4,2,3,5,6,7,1] => [7,1,3,4,2,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,2,7,1] => [4,2,3,5,6,1,7] => [6,1,3,4,2,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,7,1,2] => [4,2,3,5,1,7,6] => [5,1,3,4,2,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,7,2,1] => [4,2,3,5,1,6,7] => [5,1,3,4,2,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,7,1,2,3] => [4,2,3,1,7,6,5] => [3,1,4,2,7,6,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
[4,6,5,7,1,3,2] => [4,2,3,1,7,5,6] => [3,1,4,2,6,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[4,6,5,7,2,1,3] => [4,2,3,1,6,7,5] => [3,1,4,2,7,5,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[4,6,5,7,2,3,1] => [4,2,3,1,6,5,7] => [3,1,4,2,6,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7)
[4,6,5,7,3,1,2] => [4,2,3,1,5,7,6] => [3,1,4,2,5,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[4,6,5,7,3,2,1] => [4,2,3,1,5,6,7] => [3,1,4,2,5,6,7] => ([(3,6),(4,5),(5,6)],7)
[4,6,7,1,2,3,5] => [4,2,1,7,6,5,3] => [7,6,5,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,1,2,5,3] => [4,2,1,7,6,3,5] => [5,7,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,1,3,2,5] => [4,2,1,7,5,6,3] => [6,3,4,2,1,7,5] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,1,3,5,2] => [4,2,1,7,5,3,6] => [6,7,5,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,1,5,2,3] => [4,2,1,7,3,6,5] => [6,5,7,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,1,5,3,2] => [4,2,1,7,3,5,6] => [5,6,7,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,2,1,3,5] => [4,2,1,6,7,5,3] => [7,5,3,4,2,1,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,2,1,5,3] => [4,2,1,6,7,3,5] => [5,7,3,4,2,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,2,3,1,5] => [4,2,1,6,5,7,3] => [7,3,4,2,1,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,2,3,5,1] => [4,2,1,6,5,3,7] => [6,5,3,4,2,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,2,5,1,3] => [4,2,1,6,3,7,5] => [7,5,6,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,2,5,3,1] => [4,2,1,6,3,5,7] => [5,6,3,4,2,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,3,1,2,5] => [4,2,1,5,7,6,3] => [7,6,3,4,2,1,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,3,1,5,2] => [4,2,1,5,7,3,6] => [6,7,3,4,2,1,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,7,3,2,1,5] => [4,2,1,5,6,7,3] => [7,3,4,2,1,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,3,2,5,1] => [4,2,1,5,6,3,7] => [6,3,4,2,1,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,3,5,1,2] => [4,2,1,5,3,7,6] => [5,3,4,2,1,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,3,5,2,1] => [4,2,1,5,3,6,7] => [5,3,4,2,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,5,1,2,3] => [4,2,1,3,7,6,5] => [3,4,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,5,1,3,2] => [4,2,1,3,7,5,6] => [3,4,2,1,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[4,6,7,5,2,1,3] => [4,2,1,3,6,7,5] => [3,4,2,1,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[4,6,7,5,2,3,1] => [4,2,1,3,6,5,7] => [3,4,2,1,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,5,3,1,2] => [4,2,1,3,5,7,6] => [3,4,2,1,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,5,3,2,1] => [4,2,1,3,5,6,7] => [3,4,2,1,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,2,3,5,6] => [4,1,7,6,5,3,2] => [7,6,5,3,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,2,3,6,5] => [4,1,7,6,5,2,3] => [3,7,6,5,2,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,2,5,3,6] => [4,1,7,6,3,5,2] => [5,2,7,6,3,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,2,5,6,3] => [4,1,7,6,3,2,5] => [5,7,6,3,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,2,6,3,5] => [4,1,7,6,2,5,3] => [5,3,7,6,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,2,6,5,3] => [4,1,7,6,2,3,5] => [3,5,7,6,2,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,1,3,2,5,6] => [4,1,7,5,6,3,2] => [6,3,2,4,1,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,3,2,6,5] => [4,1,7,5,6,2,3] => [3,6,2,4,1,7,5] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,3,5,2,6] => [4,1,7,5,3,6,2] => [6,2,7,5,3,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,3,5,6,2] => [4,1,7,5,3,2,6] => [6,7,5,3,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,3,6,2,5] => [4,1,7,5,2,6,3] => [6,3,7,5,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,3,6,5,2] => [4,1,7,5,2,3,6] => [3,6,7,5,2,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,5,2,3,6] => [4,1,7,3,6,5,2] => [6,5,2,7,3,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,5,2,6,3] => [4,1,7,3,6,2,5] => [5,6,2,7,3,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,1,5,3,2,6] => [4,1,7,3,5,6,2] => [6,2,5,7,3,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,5,3,6,2] => [4,1,7,3,5,2,6] => [5,2,6,7,3,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,5,6,2,3] => [4,1,7,3,2,6,5] => [6,5,7,3,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,5,6,3,2] => [4,1,7,3,2,5,6] => [5,6,7,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,6,2,3,5] => [4,1,7,2,6,5,3] => [6,5,3,7,2,4,1] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,6,2,5,3] => [4,1,7,2,6,3,5] => [5,6,3,7,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,1,6,3,2,5] => [4,1,7,2,5,6,3] => [6,3,5,7,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,6,3,5,2] => [4,1,7,2,5,3,6] => [5,3,6,7,2,4,1] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,6,5,2,3] => [4,1,7,2,3,6,5] => [3,6,5,7,2,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,1,6,5,3,2] => [4,1,7,2,3,5,6] => [3,5,6,7,2,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,2,1,3,5,6] => [4,1,6,7,5,3,2] => [7,5,3,2,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,1,3,6,5] => [4,1,6,7,5,2,3] => [3,7,5,2,4,1,6] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,1,5,3,6] => [4,1,6,7,3,5,2] => [5,2,7,3,4,1,6] => ([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,2,1,5,6,3] => [4,1,6,7,3,2,5] => [5,7,3,2,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,7,2,1,6,3,5] => [4,1,6,7,2,5,3] => [5,3,7,2,4,1,6] => ([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,2,1,6,5,3] => [4,1,6,7,2,3,5] => [3,5,7,2,4,1,6] => ([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,1,5,6] => [4,1,6,5,7,3,2] => [7,3,2,4,1,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,1,6,5] => [4,1,6,5,7,2,3] => [3,7,2,4,1,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,2,3,5,1,6] => [4,1,6,5,3,7,2] => [7,2,6,5,3,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,5,6,1] => [4,1,6,5,3,2,7] => [6,5,3,2,4,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,6,1,5] => [4,1,6,5,2,7,3] => [7,3,6,5,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,6,5,1] => [4,1,6,5,2,3,7] => [3,6,5,2,4,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,5,1,3,6] => [4,1,6,3,7,5,2] => [7,5,2,6,3,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,5,1,6,3] => [4,1,6,3,7,2,5] => [5,7,2,6,3,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,2,5,3,1,6] => [4,1,6,3,5,7,2] => [7,2,5,6,3,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,5,3,6,1] => [4,1,6,3,5,2,7] => [5,2,6,3,4,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,5,6,1,3] => [4,1,6,3,2,7,5] => [7,5,6,3,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,5,6,3,1] => [4,1,6,3,2,5,7] => [5,6,3,2,4,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,2,6,1,3,5] => [4,1,6,2,7,5,3] => [7,5,3,6,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,6,1,5,3] => [4,1,6,2,7,3,5] => [5,7,3,6,2,4,1] => ([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,6,3,1,5] => [4,1,6,2,5,7,3] => [7,3,5,6,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,6,3,5,1] => [4,1,6,2,5,3,7] => [5,3,6,2,4,1,7] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,6,5,1,3] => [4,1,6,2,3,7,5] => [3,7,5,6,2,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,6,5,3,1] => [4,1,6,2,3,5,7] => [3,5,6,2,4,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,2,5,6] => [4,1,5,7,6,3,2] => [7,6,3,2,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,2,6,5] => [4,1,5,7,6,2,3] => [3,7,6,2,4,1,5] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,5,2,6] => [4,1,5,7,3,6,2] => [6,2,7,3,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,3,1,5,6,2] => [4,1,5,7,3,2,6] => [6,7,3,2,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,1,6,2,5] => [4,1,5,7,2,6,3] => [6,3,7,2,4,1,5] => ([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,7,3,1,6,5,2] => [4,1,5,7,2,3,6] => [3,6,7,2,4,1,5] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,3,2,1,5,6] => [4,1,5,6,7,3,2] => [7,3,2,4,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,1,6,5] => [4,1,5,6,7,2,3] => [3,7,2,4,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,3,2,5,1,6] => [4,1,5,6,3,7,2] => [7,2,6,3,4,1,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,5,6,1] => [4,1,5,6,3,2,7] => [6,3,2,4,1,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,6,1,5] => [4,1,5,6,2,7,3] => [7,3,6,2,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,6,5,1] => [4,1,5,6,2,3,7] => [3,6,2,4,1,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,3,5,1,2,6] => [4,1,5,3,7,6,2] => [7,6,2,5,3,4,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,1,6,2] => [4,1,5,3,7,2,6] => [6,7,2,5,3,4,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,3,5,2,1,6] => [4,1,5,3,6,7,2] => [7,2,5,3,4,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,2,6,1] => [4,1,5,3,6,2,7] => [6,2,5,3,4,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,6,1,2] => [4,1,5,3,2,7,6] => [5,3,2,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,6,2,1] => [4,1,5,3,2,6,7] => [5,3,2,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,6,1,2,5] => [4,1,5,2,7,6,3] => [7,6,3,5,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,6,1,5,2] => [4,1,5,2,7,3,6] => [6,7,3,5,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,3,6,2,1,5] => [4,1,5,2,6,7,3] => [7,3,5,2,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,6,2,5,1] => [4,1,5,2,6,3,7] => [6,3,5,2,4,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,6,5,1,2] => [4,1,5,2,3,7,6] => [3,5,2,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,6,5,2,1] => [4,1,5,2,3,6,7] => [3,5,2,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,1,2,3,6] => [4,1,3,7,6,5,2] => [7,6,5,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,1,2,6,3] => [4,1,3,7,6,2,5] => [5,7,6,2,3,4,1] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,1,3,2,6] => [4,1,3,7,5,6,2] => [6,2,3,4,1,7,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,5,1,3,6,2] => [4,1,3,7,5,2,6] => [6,7,5,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,1,6,2,3] => [4,1,3,7,2,6,5] => [6,5,7,2,3,4,1] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,1,6,3,2] => [4,1,3,7,2,5,6] => [5,6,7,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[4,7,5,2,1,3,6] => [4,1,3,6,7,5,2] => [7,5,2,3,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,2,1,6,3] => [4,1,3,6,7,2,5] => [5,7,2,3,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,7,5,2,3,1,6] => [4,1,3,6,5,7,2] => [7,2,3,4,1,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,2,3,6,1] => [4,1,3,6,5,2,7] => [6,5,2,3,4,1,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,2,6,1,3] => [4,1,3,6,2,7,5] => [7,5,6,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,2,6,3,1] => [4,1,3,6,2,5,7] => [5,6,2,3,4,1,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,5,3,1,2,6] => [4,1,3,5,7,6,2] => [7,6,2,3,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,3,1,6,2] => [4,1,3,5,7,2,6] => [6,7,2,3,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,3,2,1,6] => [4,1,3,5,6,7,2] => [7,2,3,4,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,3,2,6,1] => [4,1,3,5,6,2,7] => [6,2,3,4,1,5,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,3,6,1,2] => [4,1,3,5,2,7,6] => [5,2,3,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,3,6,2,1] => [4,1,3,5,2,6,7] => [5,2,3,4,1,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,6,1,2,3] => [4,1,3,2,7,6,5] => [3,2,4,1,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[4,7,5,6,1,3,2] => [4,1,3,2,7,5,6] => [3,2,4,1,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[4,7,5,6,2,1,3] => [4,1,3,2,6,7,5] => [3,2,4,1,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[4,7,5,6,2,3,1] => [4,1,3,2,6,5,7] => [3,2,4,1,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,6,3,1,2] => [4,1,3,2,5,7,6] => [3,2,4,1,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,6,3,2,1] => [4,1,3,2,5,6,7] => [3,2,4,1,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,1,2,3,5] => [4,1,2,7,6,5,3] => [2,7,6,5,3,4,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,1,2,5,3] => [4,1,2,7,6,3,5] => [2,5,7,6,3,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,6,1,3,2,5] => [4,1,2,7,5,6,3] => [2,6,3,4,1,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,7,6,1,3,5,2] => [4,1,2,7,5,3,6] => [2,6,7,5,3,4,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,1,5,2,3] => [4,1,2,7,3,6,5] => [2,6,5,7,3,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,6,1,5,3,2] => [4,1,2,7,3,5,6] => [2,5,6,7,3,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,6,2,1,3,5] => [4,1,2,6,7,5,3] => [2,7,5,3,4,1,6] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,2,1,5,3] => [4,1,2,6,7,3,5] => [2,5,7,3,4,1,6] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,2,3,1,5] => [4,1,2,6,5,7,3] => [2,7,3,4,1,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,2,3,5,1] => [4,1,2,6,5,3,7] => [2,6,5,3,4,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,2,5,1,3] => [4,1,2,6,3,7,5] => [2,7,5,6,3,4,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,2,5,3,1] => [4,1,2,6,3,5,7] => [2,5,6,3,4,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,6,3,1,2,5] => [4,1,2,5,7,6,3] => [2,7,6,3,4,1,5] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,3,1,5,2] => [4,1,2,5,7,3,6] => [2,6,7,3,4,1,5] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,6,3,2,1,5] => [4,1,2,5,6,7,3] => [2,7,3,4,1,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,3,2,5,1] => [4,1,2,5,6,3,7] => [2,6,3,4,1,5,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,3,5,1,2] => [4,1,2,5,3,7,6] => [2,5,3,4,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,3,5,2,1] => [4,1,2,5,3,6,7] => [2,5,3,4,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,5,1,2,3] => [4,1,2,3,7,6,5] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[4,7,6,5,1,3,2] => [4,1,2,3,7,5,6] => [2,3,4,1,6,7,5] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,7,6,5,2,1,3] => [4,1,2,3,6,7,5] => [2,3,4,1,7,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,7,6,5,2,3,1] => [4,1,2,3,6,5,7] => [2,3,4,1,6,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,6,5,3,1,2] => [4,1,2,3,5,7,6] => [2,3,4,1,5,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,6,5,3,2,1] => [4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => ([(3,6),(4,6),(5,6)],7)
[5,1,2,3,4,6,7] => [3,7,6,5,4,2,1] => [7,6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,3,4,7,6] => [3,7,6,5,4,1,2] => [2,7,6,5,4,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,3,6,4,7] => [3,7,6,5,2,4,1] => [4,1,7,6,5,2,3] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,3,6,7,4] => [3,7,6,5,2,1,4] => [4,7,6,5,2,1,3] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,3,7,4,6] => [3,7,6,5,1,4,2] => [4,2,7,6,5,1,3] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,3,7,6,4] => [3,7,6,5,1,2,4] => [2,4,7,6,5,1,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,4,3,6,7] => [3,7,6,4,5,2,1] => [5,2,1,3,7,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,1,2,4,3,7,6] => [3,7,6,4,5,1,2] => [2,5,1,3,7,6,4] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)
[5,1,2,4,6,3,7] => [3,7,6,4,2,5,1] => [5,1,7,6,4,2,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,4,6,7,3] => [3,7,6,4,2,1,5] => [5,7,6,4,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,4,7,3,6] => [3,7,6,4,1,5,2] => [5,2,7,6,4,1,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,2,4,7,6,3] => [3,7,6,4,1,2,5] => [2,5,7,6,4,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,2,6,3,4,7] => [3,7,6,2,5,4,1] => [5,4,1,7,6,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,6,3,7,4] => [3,7,6,2,5,1,4] => [4,5,1,7,6,2,3] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,6,4,3,7] => [3,7,6,2,4,5,1] => [5,1,4,7,6,2,3] => ([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,2,6,4,7,3] => [3,7,6,2,4,1,5] => [4,1,5,7,6,2,3] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,6,7,3,4] => [3,7,6,2,1,5,4] => [5,4,7,6,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,6,7,4,3] => [3,7,6,2,1,4,5] => [4,5,7,6,2,1,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,1,2,7,3,4,6] => [3,7,6,1,5,4,2] => [5,4,2,7,6,1,3] => ([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,2,7,3,6,4] => [3,7,6,1,5,2,4] => [4,5,2,7,6,1,3] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,7,4,3,6] => [3,7,6,1,4,5,2] => [5,2,4,7,6,1,3] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,2,7,4,6,3] => [3,7,6,1,4,2,5] => [4,2,5,7,6,1,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,7,6,3,4] => [3,7,6,1,2,5,4] => [2,5,4,7,6,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,7,6,4,3] => [3,7,6,1,2,4,5] => [2,4,5,7,6,1,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,2,4,6,7] => [3,7,5,6,4,2,1] => [6,4,2,1,3,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,2,4,7,6] => [3,7,5,6,4,1,2] => [2,6,4,1,3,7,5] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,2,6,4,7] => [3,7,5,6,2,4,1] => [4,1,6,2,3,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[5,1,3,2,6,7,4] => [3,7,5,6,2,1,4] => [4,6,2,1,3,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,2,7,4,6] => [3,7,5,6,1,4,2] => [4,2,6,1,3,7,5] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)
[5,1,3,2,7,6,4] => [3,7,5,6,1,2,4] => [2,4,6,1,3,7,5] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,1,3,4,2,6,7] => [3,7,5,4,6,2,1] => [6,2,1,3,7,5,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,3,4,2,7,6] => [3,7,5,4,6,1,2] => [2,6,1,3,7,5,4] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,3,4,6,2,7] => [3,7,5,4,2,6,1] => [6,1,7,5,4,2,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,4,6,7,2] => [3,7,5,4,2,1,6] => [6,7,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,4,7,2,6] => [3,7,5,4,1,6,2] => [6,2,7,5,4,1,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,4,7,6,2] => [3,7,5,4,1,2,6] => [2,6,7,5,4,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,6,2,4,7] => [3,7,5,2,6,4,1] => [6,4,1,7,5,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,6,2,7,4] => [3,7,5,2,6,1,4] => [4,6,1,7,5,2,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,3,6,4,2,7] => [3,7,5,2,4,6,1] => [6,1,4,7,5,2,3] => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,3,6,4,7,2] => [3,7,5,2,4,1,6] => [4,1,6,7,5,2,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,3,6,7,2,4] => [3,7,5,2,1,6,4] => [6,4,7,5,2,1,3] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,6,7,4,2] => [3,7,5,2,1,4,6] => [4,6,7,5,2,1,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,1,3,7,2,4,6] => [3,7,5,1,6,4,2] => [6,4,2,7,5,1,3] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,7,2,6,4] => [3,7,5,1,6,2,4] => [4,6,2,7,5,1,3] => ([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,3,7,4,2,6] => [3,7,5,1,4,6,2] => [6,2,4,7,5,1,3] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,7,4,6,2] => [3,7,5,1,4,2,6] => [4,2,6,7,5,1,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,1,3,7,6,2,4] => [3,7,5,1,2,6,4] => [2,6,4,7,5,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,7,6,4,2] => [3,7,5,1,2,4,6] => [2,4,6,7,5,1,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,2,3,6,7] => [3,7,4,6,5,2,1] => [6,5,2,1,3,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,2,3,7,6] => [3,7,4,6,5,1,2] => [2,6,5,1,3,7,4] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,2,6,3,7] => [3,7,4,6,2,5,1] => [5,1,6,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,2,6,7,3] => [3,7,4,6,2,1,5] => [5,6,2,1,3,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,2,7,3,6] => [3,7,4,6,1,5,2] => [5,2,6,1,3,7,4] => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,4,2,7,6,3] => [3,7,4,6,1,2,5] => [2,5,6,1,3,7,4] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,3,2,6,7] => [3,7,4,5,6,2,1] => [6,2,1,3,5,7,4] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,3,2,7,6] => [3,7,4,5,6,1,2] => [2,6,1,3,5,7,4] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,3,6,2,7] => [3,7,4,5,2,6,1] => [6,1,5,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,3,6,7,2] => [3,7,4,5,2,1,6] => [5,2,1,3,6,7,4] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[5,1,4,3,7,2,6] => [3,7,4,5,1,6,2] => [6,2,5,1,3,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,3,7,6,2] => [3,7,4,5,1,2,6] => [2,5,1,3,6,7,4] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,1,4,6,2,3,7] => [3,7,4,2,6,5,1] => [6,5,1,7,4,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,6,2,7,3] => [3,7,4,2,6,1,5] => [5,6,1,7,4,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,4,6,3,2,7] => [3,7,4,2,5,6,1] => [6,1,5,7,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,6,3,7,2] => [3,7,4,2,5,1,6] => [5,1,6,7,4,2,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,6,7,2,3] => [3,7,4,2,1,6,5] => [6,5,7,4,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,6,7,3,2] => [3,7,4,2,1,5,6] => [5,6,7,4,2,1,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,7,2,3,6] => [3,7,4,1,6,5,2] => [6,5,2,7,4,1,3] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,7,2,6,3] => [3,7,4,1,6,2,5] => [5,6,2,7,4,1,3] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,7,3,2,6] => [3,7,4,1,5,6,2] => [6,2,5,7,4,1,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,4,7,3,6,2] => [3,7,4,1,5,2,6] => [5,2,6,7,4,1,3] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,4,7,6,2,3] => [3,7,4,1,2,6,5] => [2,6,5,7,4,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,4,7,6,3,2] => [3,7,4,1,2,5,6] => [2,5,6,7,4,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,6,2,3,4,7] => [3,7,2,6,5,4,1] => [6,5,4,1,7,2,3] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,2,3,7,4] => [3,7,2,6,5,1,4] => [4,6,5,1,7,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,2,4,3,7] => [3,7,2,6,4,5,1] => [5,1,6,4,7,2,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,6,2,4,7,3] => [3,7,2,6,4,1,5] => [5,6,4,1,7,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,6,2,7,3,4] => [3,7,2,6,1,5,4] => [5,4,6,1,7,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,2,7,4,3] => [3,7,2,6,1,4,5] => [4,5,6,1,7,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,3,2,4,7] => [3,7,2,5,6,4,1] => [6,4,1,5,7,2,3] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,6,3,2,7,4] => [3,7,2,5,6,1,4] => [4,6,1,5,7,2,3] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,3,4,2,7] => [3,7,2,5,4,6,1] => [6,1,5,4,7,2,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,6,3,4,7,2] => [3,7,2,5,4,1,6] => [5,4,1,6,7,2,3] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,3,7,2,4] => [3,7,2,5,1,6,4] => [6,4,5,1,7,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,6,3,7,4,2] => [3,7,2,5,1,4,6] => [4,5,1,6,7,2,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,4,2,3,7] => [3,7,2,4,6,5,1] => [6,5,1,4,7,2,3] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,4,2,7,3] => [3,7,2,4,6,1,5] => [5,6,1,4,7,2,3] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,4,3,2,7] => [3,7,2,4,5,6,1] => [6,1,4,5,7,2,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,6,4,3,7,2] => [3,7,2,4,5,1,6] => [5,1,4,6,7,2,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,6,4,7,2,3] => [3,7,2,4,1,6,5] => [4,1,6,5,7,2,3] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,4,7,3,2] => [3,7,2,4,1,5,6] => [4,1,5,6,7,2,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,7,2,3,4] => [3,7,2,1,6,5,4] => [6,5,4,7,2,1,3] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,7,2,4,3] => [3,7,2,1,6,4,5] => [5,6,4,7,2,1,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,1,6,7,3,2,4] => [3,7,2,1,5,6,4] => [6,4,5,7,2,1,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,1,6,7,3,4,2] => [3,7,2,1,5,4,6] => [5,4,6,7,2,1,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,1,6,7,4,2,3] => [3,7,2,1,4,6,5] => [4,6,5,7,2,1,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,1,6,7,4,3,2] => [3,7,2,1,4,5,6] => [4,5,6,7,2,1,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,1,7,2,3,4,6] => [3,7,1,6,5,4,2] => [6,5,4,2,7,1,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,2,3,6,4] => [3,7,1,6,5,2,4] => [4,6,5,2,7,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[5,1,7,2,4,3,6] => [3,7,1,6,4,5,2] => [5,2,6,4,7,1,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,2,4,6,3] => [3,7,1,6,4,2,5] => [5,6,4,2,7,1,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,7,2,6,3,4] => [3,7,1,6,2,5,4] => [5,4,6,2,7,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[5,1,7,2,6,4,3] => [3,7,1,6,2,4,5] => [4,5,6,2,7,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[5,1,7,3,2,4,6] => [3,7,1,5,6,4,2] => [6,4,2,5,7,1,3] => ([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,7,3,2,6,4] => [3,7,1,5,6,2,4] => [4,6,2,5,7,1,3] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,3,4,2,6] => [3,7,1,5,4,6,2] => [6,2,5,4,7,1,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,7,3,4,6,2] => [3,7,1,5,4,2,6] => [5,4,2,6,7,1,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,3,6,2,4] => [3,7,1,5,2,6,4] => [6,4,5,2,7,1,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,7,3,6,4,2] => [3,7,1,5,2,4,6] => [4,5,2,6,7,1,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,4,2,3,6] => [3,7,1,4,6,5,2] => [6,5,2,4,7,1,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,7,4,2,6,3] => [3,7,1,4,6,2,5] => [5,6,2,4,7,1,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,4,3,2,6] => [3,7,1,4,5,6,2] => [6,2,4,5,7,1,3] => ([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,7,4,3,6,2] => [3,7,1,4,5,2,6] => [5,2,4,6,7,1,3] => ([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,7,4,6,2,3] => [3,7,1,4,2,6,5] => [4,2,6,5,7,1,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,4,6,3,2] => [3,7,1,4,2,5,6] => [4,2,5,6,7,1,3] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)
[5,1,7,6,2,3,4] => [3,7,1,2,6,5,4] => [2,6,5,4,7,1,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,6,2,4,3] => [3,7,1,2,6,4,5] => [2,5,6,4,7,1,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,6,3,2,4] => [3,7,1,2,5,6,4] => [2,6,4,5,7,1,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,6,3,4,2] => [3,7,1,2,5,4,6] => [2,5,4,6,7,1,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,6,4,2,3] => [3,7,1,2,4,6,5] => [2,4,6,5,7,1,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,7,6,4,3,2] => [3,7,1,2,4,5,6] => [2,4,5,6,7,1,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,3,4,6,7] => [3,6,7,5,4,2,1] => [7,5,4,2,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,3,4,7,6] => [3,6,7,5,4,1,2] => [2,7,5,4,1,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,3,6,4,7] => [3,6,7,5,2,4,1] => [4,1,7,5,2,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,3,6,7,4] => [3,6,7,5,2,1,4] => [4,7,5,2,1,3,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,3,7,4,6] => [3,6,7,5,1,4,2] => [4,2,7,5,1,3,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,1,3,7,6,4] => [3,6,7,5,1,2,4] => [2,4,7,5,1,3,6] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,1,4,3,6,7] => [3,6,7,4,5,2,1] => [5,2,1,3,7,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,2,1,4,3,7,6] => [3,6,7,4,5,1,2] => [2,5,1,3,7,4,6] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,4,6,3,7] => [3,6,7,4,2,5,1] => [5,1,7,4,2,3,6] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,4,6,7,3] => [3,6,7,4,2,1,5] => [5,7,4,2,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,1,4,7,3,6] => [3,6,7,4,1,5,2] => [5,2,7,4,1,3,6] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,4,7,6,3] => [3,6,7,4,1,2,5] => [2,5,7,4,1,3,6] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,6,3,4,7] => [3,6,7,2,5,4,1] => [5,4,1,7,2,3,6] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,2,1,6,3,7,4] => [3,6,7,2,5,1,4] => [4,5,1,7,2,3,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,2,1,6,4,3,7] => [3,6,7,2,4,5,1] => [5,1,4,7,2,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,6,4,7,3] => [3,6,7,2,4,1,5] => [4,1,5,7,2,3,6] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,6,7,3,4] => [3,6,7,2,1,5,4] => [5,4,7,2,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[5,2,1,6,7,4,3] => [3,6,7,2,1,4,5] => [4,5,7,2,1,3,6] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,1,7,3,4,6] => [3,6,7,1,5,4,2] => [5,4,2,7,1,3,6] => ([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,7,3,6,4] => [3,6,7,1,5,2,4] => [4,5,2,7,1,3,6] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,1,7,4,3,6] => [3,6,7,1,4,5,2] => [5,2,4,7,1,3,6] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,1,7,4,6,3] => [3,6,7,1,4,2,5] => [4,2,5,7,1,3,6] => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,1,7,6,3,4] => [3,6,7,1,2,5,4] => [2,5,4,7,1,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,1,7,6,4,3] => [3,6,7,1,2,4,5] => [2,4,5,7,1,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,3,1,4,6,7] => [3,6,5,7,4,2,1] => [7,4,2,1,3,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,1,4,7,6] => [3,6,5,7,4,1,2] => [2,7,4,1,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,1,6,4,7] => [3,6,5,7,2,4,1] => [4,1,7,2,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,3,1,6,7,4] => [3,6,5,7,2,1,4] => [4,7,2,1,3,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,3,1,7,4,6] => [3,6,5,7,1,4,2] => [4,2,7,1,3,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,2,3,1,7,6,4] => [3,6,5,7,1,2,4] => [2,4,7,1,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,3,4,1,6,7] => [3,6,5,4,7,2,1] => [7,2,1,3,6,5,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,4,1,7,6] => [3,6,5,4,7,1,2] => [2,7,1,3,6,5,4] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,4,6,1,7] => [3,6,5,4,2,7,1] => [7,1,6,5,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,4,6,7,1] => [3,6,5,4,2,1,7] => [6,5,4,2,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,4,7,1,6] => [3,6,5,4,1,7,2] => [7,2,6,5,4,1,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,4,7,6,1] => [3,6,5,4,1,2,7] => [2,6,5,4,1,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,6,1,4,7] => [3,6,5,2,7,4,1] => [7,4,1,6,5,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,6,1,7,4] => [3,6,5,2,7,1,4] => [4,7,1,6,5,2,3] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,3,6,4,1,7] => [3,6,5,2,4,7,1] => [7,1,4,6,5,2,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,3,6,4,7,1] => [3,6,5,2,4,1,7] => [4,1,6,5,2,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,3,6,7,1,4] => [3,6,5,2,1,7,4] => [7,4,6,5,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,6,7,4,1] => [3,6,5,2,1,4,7] => [4,6,5,2,1,3,7] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,7,1,4,6] => [3,6,5,1,7,4,2] => [7,4,2,6,5,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,7,1,6,4] => [3,6,5,1,7,2,4] => [4,7,2,6,5,1,3] => ([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,3,7,4,1,6] => [3,6,5,1,4,7,2] => [7,2,4,6,5,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,3,7,4,6,1] => [3,6,5,1,4,2,7] => [4,2,6,5,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,3,7,6,1,4] => [3,6,5,1,2,7,4] => [2,7,4,6,5,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,3,7,6,4,1] => [3,6,5,1,2,4,7] => [2,4,6,5,1,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,4,1,3,6,7] => [3,6,4,7,5,2,1] => [7,5,2,1,3,6,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,1,3,7,6] => [3,6,4,7,5,1,2] => [2,7,5,1,3,6,4] => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,1,6,3,7] => [3,6,4,7,2,5,1] => [5,1,7,2,3,6,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[5,2,4,1,6,7,3] => [3,6,4,7,2,1,5] => [5,7,2,1,3,6,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,4,1,7,3,6] => [3,6,4,7,1,5,2] => [5,2,7,1,3,6,4] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,4,1,7,6,3] => [3,6,4,7,1,2,5] => [2,5,7,1,3,6,4] => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,4,3,1,6,7] => [3,6,4,5,7,2,1] => [7,2,1,3,5,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,1,7,6] => [3,6,4,5,7,1,2] => [2,7,1,3,5,6,4] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,4,3,6,1,7] => [3,6,4,5,2,7,1] => [7,1,5,2,3,6,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,6,7,1] => [3,6,4,5,2,1,7] => [5,2,1,3,6,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,4,3,7,1,6] => [3,6,4,5,1,7,2] => [7,2,5,1,3,6,4] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,7,6,1] => [3,6,4,5,1,2,7] => [2,5,1,3,6,4,7] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[5,2,4,6,1,3,7] => [3,6,4,2,7,5,1] => [7,5,1,6,4,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,6,1,7,3] => [3,6,4,2,7,1,5] => [5,7,1,6,4,2,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,4,6,3,1,7] => [3,6,4,2,5,7,1] => [7,1,5,6,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,6,3,7,1] => [3,6,4,2,5,1,7] => [5,1,6,4,2,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,6,7,1,3] => [3,6,4,2,1,7,5] => [7,5,6,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,6,7,3,1] => [3,6,4,2,1,5,7] => [5,6,4,2,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,4,7,1,3,6] => [3,6,4,1,7,5,2] => [7,5,2,6,4,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,7,1,6,3] => [3,6,4,1,7,2,5] => [5,7,2,6,4,1,3] => ([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,7,3,1,6] => [3,6,4,1,5,7,2] => [7,2,5,6,4,1,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,7,3,6,1] => [3,6,4,1,5,2,7] => [5,2,6,4,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,4,7,6,1,3] => [3,6,4,1,2,7,5] => [2,7,5,6,4,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,7,6,3,1] => [3,6,4,1,2,5,7] => [2,5,6,4,1,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,1,3,4,7] => [3,6,2,7,5,4,1] => [7,5,4,1,6,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,1,3,7,4] => [3,6,2,7,5,1,4] => [4,7,5,1,6,2,3] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,1,4,3,7] => [3,6,2,7,4,5,1] => [5,1,7,4,6,2,3] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,6,1,4,7,3] => [3,6,2,7,4,1,5] => [5,7,4,1,6,2,3] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,1,7,3,4] => [3,6,2,7,1,5,4] => [5,4,7,1,6,2,3] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,6,1,7,4,3] => [3,6,2,7,1,4,5] => [4,5,7,1,6,2,3] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,6,3,1,4,7] => [3,6,2,5,7,4,1] => [7,4,1,5,6,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,3,1,7,4] => [3,6,2,5,7,1,4] => [4,7,1,5,6,2,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,6,3,4,1,7] => [3,6,2,5,4,7,1] => [7,1,5,4,6,2,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,6,3,4,7,1] => [3,6,2,5,4,1,7] => [5,4,1,6,2,3,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,3,7,1,4] => [3,6,2,5,1,7,4] => [7,4,5,1,6,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,6,3,7,4,1] => [3,6,2,5,1,4,7] => [4,5,1,6,2,3,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,6,4,1,3,7] => [3,6,2,4,7,5,1] => [7,5,1,4,6,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,4,1,7,3] => [3,6,2,4,7,1,5] => [5,7,1,4,6,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,6,4,3,1,7] => [3,6,2,4,5,7,1] => [7,1,4,5,6,2,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,6,4,3,7,1] => [3,6,2,4,5,1,7] => [5,1,4,6,2,3,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,6,4,7,1,3] => [3,6,2,4,1,7,5] => [4,1,7,5,6,2,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,6,4,7,3,1] => [3,6,2,4,1,5,7] => [4,1,5,6,2,3,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,6,7,1,3,4] => [3,6,2,1,7,5,4] => [7,5,4,6,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,7,1,4,3] => [3,6,2,1,7,4,5] => [5,7,4,6,2,1,3] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,7,3,1,4] => [3,6,2,1,5,7,4] => [7,4,5,6,2,1,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,7,3,4,1] => [3,6,2,1,5,4,7] => [5,4,6,2,1,3,7] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,7,4,1,3] => [3,6,2,1,4,7,5] => [4,7,5,6,2,1,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,2,6,7,4,3,1] => [3,6,2,1,4,5,7] => [4,5,6,2,1,3,7] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,1,3,4,6] => [3,6,1,7,5,4,2] => [7,5,4,2,6,1,3] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,1,3,6,4] => [3,6,1,7,5,2,4] => [4,7,5,2,6,1,3] => ([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,7,1,4,3,6] => [3,6,1,7,4,5,2] => [5,2,7,4,6,1,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,7,1,4,6,3] => [3,6,1,7,4,2,5] => [5,7,4,2,6,1,3] => ([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,1,6,3,4] => [3,6,1,7,2,5,4] => [5,4,7,2,6,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,7,1,6,4,3] => [3,6,1,7,2,4,5] => [4,5,7,2,6,1,3] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,7,3,1,4,6] => [3,6,1,5,7,4,2] => [7,4,2,5,6,1,3] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,3,1,6,4] => [3,6,1,5,7,2,4] => [4,7,2,5,6,1,3] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,7,3,4,1,6] => [3,6,1,5,4,7,2] => [7,2,5,4,6,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,7,3,4,6,1] => [3,6,1,5,4,2,7] => [5,4,2,6,1,3,7] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,7,3,6,1,4] => [3,6,1,5,2,7,4] => [7,4,5,2,6,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,7,3,6,4,1] => [3,6,1,5,2,4,7] => [4,5,2,6,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,4,1,3,6] => [3,6,1,4,7,5,2] => [7,5,2,4,6,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,4,1,6,3] => [3,6,1,4,7,2,5] => [5,7,2,4,6,1,3] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,7,4,3,1,6] => [3,6,1,4,5,7,2] => [7,2,4,5,6,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,7,4,3,6,1] => [3,6,1,4,5,2,7] => [5,2,4,6,1,3,7] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,4,6,1,3] => [3,6,1,4,2,7,5] => [4,2,7,5,6,1,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,2,7,4,6,3,1] => [3,6,1,4,2,5,7] => [4,2,5,6,1,3,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,7,6,1,3,4] => [3,6,1,2,7,5,4] => [2,7,5,4,6,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,7,6,1,4,3] => [3,6,1,2,7,4,5] => [2,5,7,4,6,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,6,3,1,4] => [3,6,1,2,5,7,4] => [2,7,4,5,6,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,7,6,3,4,1] => [3,6,1,2,5,4,7] => [2,5,4,6,1,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,6,4,1,3] => [3,6,1,2,4,7,5] => [2,4,7,5,6,1,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,6,4,3,1] => [3,6,1,2,4,5,7] => [2,4,5,6,1,3,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,1,2,4,6,7] => [3,5,7,6,4,2,1] => [7,6,4,2,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,2,4,7,6] => [3,5,7,6,4,1,2] => [2,7,6,4,1,3,5] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,2,6,4,7] => [3,5,7,6,2,4,1] => [4,1,7,6,2,3,5] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,3,1,2,6,7,4] => [3,5,7,6,2,1,4] => [4,7,6,2,1,3,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,2,7,4,6] => [3,5,7,6,1,4,2] => [4,2,7,6,1,3,5] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,3,1,2,7,6,4] => [3,5,7,6,1,2,4] => [2,4,7,6,1,3,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,1,4,2,6,7] => [3,5,7,4,6,2,1] => [6,2,1,3,7,4,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,3,1,4,2,7,6] => [3,5,7,4,6,1,2] => [2,6,1,3,7,4,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,3,1,4,6,2,7] => [3,5,7,4,2,6,1] => [6,1,7,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,1,4,6,7,2] => [3,5,7,4,2,1,6] => [6,7,4,2,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,1,4,7,2,6] => [3,5,7,4,1,6,2] => [6,2,7,4,1,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,1,4,7,6,2] => [3,5,7,4,1,2,6] => [2,6,7,4,1,3,5] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,1,6,2,4,7] => [3,5,7,2,6,4,1] => [6,4,1,7,2,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,3,1,6,2,7,4] => [3,5,7,2,6,1,4] => [4,6,1,7,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,1,6,4,2,7] => [3,5,7,2,4,6,1] => [6,1,4,7,2,3,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,1,6,4,7,2] => [3,5,7,2,4,1,6] => [4,1,6,7,2,3,5] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,3,1,6,7,2,4] => [3,5,7,2,1,6,4] => [6,4,7,2,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[5,3,1,6,7,4,2] => [3,5,7,2,1,4,6] => [4,6,7,2,1,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,1,7,2,4,6] => [3,5,7,1,6,4,2] => [6,4,2,7,1,3,5] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,1,7,2,6,4] => [3,5,7,1,6,2,4] => [4,6,2,7,1,3,5] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)
[5,3,1,7,4,2,6] => [3,5,7,1,4,6,2] => [6,2,4,7,1,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,3,1,7,4,6,2] => [3,5,7,1,4,2,6] => [4,2,6,7,1,3,5] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,3,1,7,6,2,4] => [3,5,7,1,2,6,4] => [2,6,4,7,1,3,5] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,1,7,6,4,2] => [3,5,7,1,2,4,6] => [2,4,6,7,1,3,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,2,1,4,6,7] => [3,5,6,7,4,2,1] => [7,4,2,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,4,7,6] => [3,5,6,7,4,1,2] => [2,7,4,1,3,5,6] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,6,4,7] => [3,5,6,7,2,4,1] => [4,1,7,2,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,1,6,7,4] => [3,5,6,7,2,1,4] => [4,7,2,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,1,7,4,6] => [3,5,6,7,1,4,2] => [4,2,7,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[5,3,2,1,7,6,4] => [3,5,6,7,1,2,4] => [2,4,7,1,3,5,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,2,4,1,6,7] => [3,5,6,4,7,2,1] => [7,2,1,3,6,4,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,4,1,7,6] => [3,5,6,4,7,1,2] => [2,7,1,3,6,4,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,2,4,6,1,7] => [3,5,6,4,2,7,1] => [7,1,6,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,4,6,7,1] => [3,5,6,4,2,1,7] => [6,4,2,1,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,4,7,1,6] => [3,5,6,4,1,7,2] => [7,2,6,4,1,3,5] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,4,7,6,1] => [3,5,6,4,1,2,7] => [2,6,4,1,3,5,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,6,1,4,7] => [3,5,6,2,7,4,1] => [7,4,1,6,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,2,6,1,7,4] => [3,5,6,2,7,1,4] => [4,7,1,6,2,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,3,2,6,4,1,7] => [3,5,6,2,4,7,1] => [7,1,4,6,2,3,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,6,4,7,1] => [3,5,6,2,4,1,7] => [4,1,6,2,3,5,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,6,7,1,4] => [3,5,6,2,1,7,4] => [7,4,6,2,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,2,6,7,4,1] => [3,5,6,2,1,4,7] => [4,6,2,1,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,7,1,4,6] => [3,5,6,1,7,4,2] => [7,4,2,6,1,3,5] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,2,7,1,6,4] => [3,5,6,1,7,2,4] => [4,7,2,6,1,3,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,7,4,1,6] => [3,5,6,1,4,7,2] => [7,2,4,6,1,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,7,4,6,1] => [3,5,6,1,4,2,7] => [4,2,6,1,3,5,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,7,6,1,4] => [3,5,6,1,2,7,4] => [2,7,4,6,1,3,5] => ([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,7,6,4,1] => [3,5,6,1,2,4,7] => [2,4,6,1,3,5,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,4,1,2,6,7] => [3,5,4,7,6,2,1] => [7,6,2,1,3,5,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,1,2,7,6] => [3,5,4,7,6,1,2] => [2,7,6,1,3,5,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,1,6,2,7] => [3,5,4,7,2,6,1] => [6,1,7,2,3,5,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,4,1,6,7,2] => [3,5,4,7,2,1,6] => [6,7,2,1,3,5,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,4,1,7,2,6] => [3,5,4,7,1,6,2] => [6,2,7,1,3,5,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,4,1,7,6,2] => [3,5,4,7,1,2,6] => [2,6,7,1,3,5,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,4,2,1,6,7] => [3,5,4,6,7,2,1] => [7,2,1,3,5,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,4,2,1,7,6] => [3,5,4,6,7,1,2] => [2,7,1,3,5,4,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,6,1,7] => [3,5,4,6,2,7,1] => [7,1,6,2,3,5,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,6,7,1] => [3,5,4,6,2,1,7] => [6,2,1,3,5,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,4,2,7,1,6] => [3,5,4,6,1,7,2] => [7,2,6,1,3,5,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,7,6,1] => [3,5,4,6,1,2,7] => [2,6,1,3,5,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,4,6,1,2,7] => [3,5,4,2,7,6,1] => [7,6,1,5,4,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,1,7,2] => [3,5,4,2,7,1,6] => [6,7,1,5,4,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,4,6,2,1,7] => [3,5,4,2,6,7,1] => [7,1,5,4,2,3,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,2,7,1] => [3,5,4,2,6,1,7] => [6,1,5,4,2,3,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,7,1,2] => [3,5,4,2,1,7,6] => [5,4,2,1,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,7,2,1] => [3,5,4,2,1,6,7] => [5,4,2,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,7,1,2,6] => [3,5,4,1,7,6,2] => [7,6,2,5,4,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,7,1,6,2] => [3,5,4,1,7,2,6] => [6,7,2,5,4,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,4,7,2,1,6] => [3,5,4,1,6,7,2] => [7,2,5,4,1,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,7,2,6,1] => [3,5,4,1,6,2,7] => [6,2,5,4,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,7,6,1,2] => [3,5,4,1,2,7,6] => [2,5,4,1,3,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,7,6,2,1] => [3,5,4,1,2,6,7] => [2,5,4,1,3,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,6,1,2,4,7] => [3,5,2,7,6,4,1] => [7,6,4,1,5,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,1,2,7,4] => [3,5,2,7,6,1,4] => [4,7,6,1,5,2,3] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,1,4,2,7] => [3,5,2,7,4,6,1] => [6,1,7,4,5,2,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,6,1,4,7,2] => [3,5,2,7,4,1,6] => [6,7,4,1,5,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,6,1,7,2,4] => [3,5,2,7,1,6,4] => [6,4,7,1,5,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,3,6,1,7,4,2] => [3,5,2,7,1,4,6] => [4,6,7,1,5,2,3] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,2,1,4,7] => [3,5,2,6,7,4,1] => [7,4,1,5,2,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,2,1,7,4] => [3,5,2,6,7,1,4] => [4,7,1,5,2,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,2,4,1,7] => [3,5,2,6,4,7,1] => [7,1,6,4,5,2,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,2,4,7,1] => [3,5,2,6,4,1,7] => [6,4,1,5,2,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,2,7,1,4] => [3,5,2,6,1,7,4] => [7,4,6,1,5,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,6,2,7,4,1] => [3,5,2,6,1,4,7] => [4,6,1,5,2,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,4,1,2,7] => [3,5,2,4,7,6,1] => [7,6,1,4,5,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,4,1,7,2] => [3,5,2,4,7,1,6] => [6,7,1,4,5,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,4,2,1,7] => [3,5,2,4,6,7,1] => [7,1,4,5,2,3,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,6,4,2,7,1] => [3,5,2,4,6,1,7] => [6,1,4,5,2,3,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,6,4,7,1,2] => [3,5,2,4,1,7,6] => [4,1,5,2,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,4,7,2,1] => [3,5,2,4,1,6,7] => [4,1,5,2,3,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,6,7,1,2,4] => [3,5,2,1,7,6,4] => [7,6,4,5,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,7,1,4,2] => [3,5,2,1,7,4,6] => [6,7,4,5,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,7,2,1,4] => [3,5,2,1,6,7,4] => [7,4,5,2,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,6,7,2,4,1] => [3,5,2,1,6,4,7] => [6,4,5,2,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,6,7,4,1,2] => [3,5,2,1,4,7,6] => [4,5,2,1,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,7,4,2,1] => [3,5,2,1,4,6,7] => [4,5,2,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,1,2,4,6] => [3,5,1,7,6,4,2] => [7,6,4,2,5,1,3] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,1,2,6,4] => [3,5,1,7,6,2,4] => [4,7,6,2,5,1,3] => ([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,7,1,4,2,6] => [3,5,1,7,4,6,2] => [6,2,7,4,5,1,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,1,4,6,2] => [3,5,1,7,4,2,6] => [6,7,4,2,5,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,1,6,2,4] => [3,5,1,7,2,6,4] => [6,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,1,6,4,2] => [3,5,1,7,2,4,6] => [4,6,7,2,5,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,3,7,2,1,4,6] => [3,5,1,6,7,4,2] => [7,4,2,5,1,3,6] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,2,1,6,4] => [3,5,1,6,7,2,4] => [4,7,2,5,1,3,6] => ([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,2,4,1,6] => [3,5,1,6,4,7,2] => [7,2,6,4,5,1,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,2,4,6,1] => [3,5,1,6,4,2,7] => [6,4,2,5,1,3,7] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,2,6,1,4] => [3,5,1,6,2,7,4] => [7,4,6,2,5,1,3] => ([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,2,6,4,1] => [3,5,1,6,2,4,7] => [4,6,2,5,1,3,7] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,4,1,2,6] => [3,5,1,4,7,6,2] => [7,6,2,4,5,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,4,1,6,2] => [3,5,1,4,7,2,6] => [6,7,2,4,5,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,7,4,2,1,6] => [3,5,1,4,6,7,2] => [7,2,4,5,1,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,4,2,6,1] => [3,5,1,4,6,2,7] => [6,2,4,5,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,4,6,1,2] => [3,5,1,4,2,7,6] => [4,2,5,1,3,7,6] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,7,4,6,2,1] => [3,5,1,4,2,6,7] => [4,2,5,1,3,6,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,7,6,1,2,4] => [3,5,1,2,7,6,4] => [2,7,6,4,5,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,6,1,4,2] => [3,5,1,2,7,4,6] => [2,6,7,4,5,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,7,6,2,1,4] => [3,5,1,2,6,7,4] => [2,7,4,5,1,3,6] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,6,2,4,1] => [3,5,1,2,6,4,7] => [2,6,4,5,1,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,6,4,1,2] => [3,5,1,2,4,7,6] => [2,4,5,1,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,6,4,2,1] => [3,5,1,2,4,6,7] => [2,4,5,1,3,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,1,2,3,6,7] => [3,4,7,6,5,2,1] => [7,6,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,2,3,7,6] => [3,4,7,6,5,1,2] => [2,7,6,5,1,3,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,2,6,3,7] => [3,4,7,6,2,5,1] => [5,1,7,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[5,4,1,2,6,7,3] => [3,4,7,6,2,1,5] => [5,7,6,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,4,1,2,7,3,6] => [3,4,7,6,1,5,2] => [5,2,7,6,1,3,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,4,1,2,7,6,3] => [3,4,7,6,1,2,5] => [2,5,7,6,1,3,4] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,1,3,2,6,7] => [3,4,7,5,6,2,1] => [6,2,1,3,4,7,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,3,2,7,6] => [3,4,7,5,6,1,2] => [2,6,1,3,4,7,5] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[5,4,1,3,6,2,7] => [3,4,7,5,2,6,1] => [6,1,7,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,4,1,3,6,7,2] => [3,4,7,5,2,1,6] => [6,7,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,1,3,7,2,6] => [3,4,7,5,1,6,2] => [6,2,7,5,1,3,4] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,1,3,7,6,2] => [3,4,7,5,1,2,6] => [2,6,7,5,1,3,4] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,6,2,3,7] => [3,4,7,2,6,5,1] => [6,5,1,7,2,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,6,2,7,3] => [3,4,7,2,6,1,5] => [5,6,1,7,2,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,1,6,3,2,7] => [3,4,7,2,5,6,1] => [6,1,5,7,2,3,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,6,3,7,2] => [3,4,7,2,5,1,6] => [5,1,6,7,2,3,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,4,1,6,7,2,3] => [3,4,7,2,1,6,5] => [6,5,7,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,4,1,6,7,3,2] => [3,4,7,2,1,5,6] => [5,6,7,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,4,1,7,2,3,6] => [3,4,7,1,6,5,2] => [6,5,2,7,1,3,4] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,7,2,6,3] => [3,4,7,1,6,2,5] => [5,6,2,7,1,3,4] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,1,7,3,2,6] => [3,4,7,1,5,6,2] => [6,2,5,7,1,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,7,3,6,2] => [3,4,7,1,5,2,6] => [5,2,6,7,1,3,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7)
[5,4,1,7,6,2,3] => [3,4,7,1,2,6,5] => [2,6,5,7,1,3,4] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,1,7,6,3,2] => [3,4,7,1,2,5,6] => [2,5,6,7,1,3,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,4,2,1,3,6,7] => [3,4,6,7,5,2,1] => [7,5,2,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,3,7,6] => [3,4,6,7,5,1,2] => [2,7,5,1,3,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,6,3,7] => [3,4,6,7,2,5,1] => [5,1,7,2,3,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,1,6,7,3] => [3,4,6,7,2,1,5] => [5,7,2,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,1,7,3,6] => [3,4,6,7,1,5,2] => [5,2,7,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[5,4,2,1,7,6,3] => [3,4,6,7,1,2,5] => [2,5,7,1,3,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,3,1,6,7] => [3,4,6,5,7,2,1] => [7,2,1,3,4,6,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,4,2,3,1,7,6] => [3,4,6,5,7,1,2] => [2,7,1,3,4,6,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,6,1,7] => [3,4,6,5,2,7,1] => [7,1,6,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,6,7,1] => [3,4,6,5,2,1,7] => [6,5,2,1,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,7,1,6] => [3,4,6,5,1,7,2] => [7,2,6,5,1,3,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,7,6,1] => [3,4,6,5,1,2,7] => [2,6,5,1,3,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,6,1,3,7] => [3,4,6,2,7,5,1] => [7,5,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,2,6,1,7,3] => [3,4,6,2,7,1,5] => [5,7,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[5,4,2,6,3,1,7] => [3,4,6,2,5,7,1] => [7,1,5,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,2,6,3,7,1] => [3,4,6,2,5,1,7] => [5,1,6,2,3,4,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,6,7,1,3] => [3,4,6,2,1,7,5] => [7,5,6,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,2,6,7,3,1] => [3,4,6,2,1,5,7] => [5,6,2,1,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,7,1,3,6] => [3,4,6,1,7,5,2] => [7,5,2,6,1,3,4] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,7,1,6,3] => [3,4,6,1,7,2,5] => [5,7,2,6,1,3,4] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,2,7,3,1,6] => [3,4,6,1,5,7,2] => [7,2,5,6,1,3,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,7,3,6,1] => [3,4,6,1,5,2,7] => [5,2,6,1,3,4,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,4,2,7,6,1,3] => [3,4,6,1,2,7,5] => [2,7,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,7,6,3,1] => [3,4,6,1,2,5,7] => [2,5,6,1,3,4,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,3,1,2,6,7] => [3,4,5,7,6,2,1] => [7,6,2,1,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,2,7,6] => [3,4,5,7,6,1,2] => [2,7,6,1,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,6,2,7] => [3,4,5,7,2,6,1] => [6,1,7,2,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,1,6,7,2] => [3,4,5,7,2,1,6] => [6,7,2,1,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,1,7,2,6] => [3,4,5,7,1,6,2] => [6,2,7,1,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)
[5,4,3,1,7,6,2] => [3,4,5,7,1,2,6] => [2,6,7,1,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,2,1,6,7] => [3,4,5,6,7,2,1] => [7,2,1,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,1,7,6] => [3,4,5,6,7,1,2] => [2,7,1,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[5,4,3,2,6,1,7] => [3,4,5,6,2,7,1] => [7,1,6,2,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,6,7,1] => [3,4,5,6,2,1,7] => [6,2,1,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,7,1,6] => [3,4,5,6,1,7,2] => [7,2,6,1,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,7,6,1] => [3,4,5,6,1,2,7] => [2,6,1,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[5,4,3,6,1,2,7] => [3,4,5,2,7,6,1] => [7,6,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,1,7,2] => [3,4,5,2,7,1,6] => [6,7,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,6,2,1,7] => [3,4,5,2,6,7,1] => [7,1,5,2,3,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,2,7,1] => [3,4,5,2,6,1,7] => [6,1,5,2,3,4,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,7,1,2] => [3,4,5,2,1,7,6] => [5,2,1,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,7,2,1] => [3,4,5,2,1,6,7] => [5,2,1,3,4,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,7,1,2,6] => [3,4,5,1,7,6,2] => [7,6,2,5,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,7,1,6,2] => [3,4,5,1,7,2,6] => [6,7,2,5,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,3,7,2,1,6] => [3,4,5,1,6,7,2] => [7,2,5,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,7,2,6,1] => [3,4,5,1,6,2,7] => [6,2,5,1,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,7,6,1,2] => [3,4,5,1,2,7,6] => [2,5,1,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[5,4,3,7,6,2,1] => [3,4,5,1,2,6,7] => [2,5,1,3,4,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[5,4,6,1,2,3,7] => [3,4,2,7,6,5,1] => [7,6,5,1,4,2,3] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,2,7,3] => [3,4,2,7,6,1,5] => [5,7,6,1,4,2,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,4,6,1,3,2,7] => [3,4,2,7,5,6,1] => [6,1,4,2,3,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,6,1,3,7,2] => [3,4,2,7,5,1,6] => [6,7,5,1,4,2,3] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,6,1,7,2,3] => [3,4,2,7,1,6,5] => [6,5,7,1,4,2,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,4,6,1,7,3,2] => [3,4,2,7,1,5,6] => [5,6,7,1,4,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,6,2,1,3,7] => [3,4,2,6,7,5,1] => [7,5,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,1,7,3] => [3,4,2,6,7,1,5] => [5,7,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,6,2,3,1,7] => [3,4,2,6,5,7,1] => [7,1,4,2,3,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,3,7,1] => [3,4,2,6,5,1,7] => [6,5,1,4,2,3,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,7,1,3] => [3,4,2,6,1,7,5] => [7,5,6,1,4,2,3] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,6,2,7,3,1] => [3,4,2,6,1,5,7] => [5,6,1,4,2,3,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,6,3,1,2,7] => [3,4,2,5,7,6,1] => [7,6,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,1,7,2] => [3,4,2,5,7,1,6] => [6,7,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,6,3,2,1,7] => [3,4,2,5,6,7,1] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,2,7,1] => [3,4,2,5,6,1,7] => [6,1,4,2,3,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,7,1,2] => [3,4,2,5,1,7,6] => [5,1,4,2,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,7,2,1] => [3,4,2,5,1,6,7] => [5,1,4,2,3,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,7,1,2,3] => [3,4,2,1,7,6,5] => [4,2,1,3,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,4,6,7,1,3,2] => [3,4,2,1,7,5,6] => [4,2,1,3,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,4,6,7,2,1,3] => [3,4,2,1,6,7,5] => [4,2,1,3,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,4,6,7,2,3,1] => [3,4,2,1,6,5,7] => [4,2,1,3,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,7,3,1,2] => [3,4,2,1,5,7,6] => [4,2,1,3,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,7,3,2,1] => [3,4,2,1,5,6,7] => [4,2,1,3,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,1,2,3,6] => [3,4,1,7,6,5,2] => [7,6,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,1,2,6,3] => [3,4,1,7,6,2,5] => [5,7,6,2,4,1,3] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,1,3,2,6] => [3,4,1,7,5,6,2] => [6,2,4,1,3,7,5] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,1,3,6,2] => [3,4,1,7,5,2,6] => [6,7,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,7,1,6,2,3] => [3,4,1,7,2,6,5] => [6,5,7,2,4,1,3] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,1,6,3,2] => [3,4,1,7,2,5,6] => [5,6,7,2,4,1,3] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,2,1,3,6] => [3,4,1,6,7,5,2] => [7,5,2,4,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,2,1,6,3] => [3,4,1,6,7,2,5] => [5,7,2,4,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,2,3,1,6] => [3,4,1,6,5,7,2] => [7,2,4,1,3,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,2,3,6,1] => [3,4,1,6,5,2,7] => [6,5,2,4,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,2,6,1,3] => [3,4,1,6,2,7,5] => [7,5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,7,2,6,3,1] => [3,4,1,6,2,5,7] => [5,6,2,4,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,3,1,2,6] => [3,4,1,5,7,6,2] => [7,6,2,4,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,3,1,6,2] => [3,4,1,5,7,2,6] => [6,7,2,4,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,3,2,1,6] => [3,4,1,5,6,7,2] => [7,2,4,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,3,2,6,1] => [3,4,1,5,6,2,7] => [6,2,4,1,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,3,6,1,2] => [3,4,1,5,2,7,6] => [5,2,4,1,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,3,6,2,1] => [3,4,1,5,2,6,7] => [5,2,4,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,6,1,2,3] => [3,4,1,2,7,6,5] => [2,4,1,3,7,6,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
[5,4,7,6,1,3,2] => [3,4,1,2,7,5,6] => [2,4,1,3,6,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,4,7,6,2,1,3] => [3,4,1,2,6,7,5] => [2,4,1,3,7,5,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,4,7,6,2,3,1] => [3,4,1,2,6,5,7] => [2,4,1,3,6,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7)
[5,4,7,6,3,1,2] => [3,4,1,2,5,7,6] => [2,4,1,3,5,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[5,4,7,6,3,2,1] => [3,4,1,2,5,6,7] => [2,4,1,3,5,6,7] => ([(3,6),(4,5),(5,6)],7)
[5,6,1,2,3,4,7] => [3,2,7,6,5,4,1] => [7,6,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,2,3,7,4] => [3,2,7,6,5,1,4] => [4,7,6,5,1,3,2] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,2,4,3,7] => [3,2,7,6,4,5,1] => [5,1,3,2,7,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,6,1,2,4,7,3] => [3,2,7,6,4,1,5] => [5,7,6,4,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,2,7,3,4] => [3,2,7,6,1,5,4] => [5,4,7,6,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,2,7,4,3] => [3,2,7,6,1,4,5] => [4,5,7,6,1,3,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,6,1,3,2,4,7] => [3,2,7,5,6,4,1] => [6,4,1,3,2,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,3,2,7,4] => [3,2,7,5,6,1,4] => [4,6,1,3,2,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,3,4,2,7] => [3,2,7,5,4,6,1] => [6,1,3,2,7,5,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,6,1,3,4,7,2] => [3,2,7,5,4,1,6] => [6,7,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,3,7,2,4] => [3,2,7,5,1,6,4] => [6,4,7,5,1,3,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,3,7,4,2] => [3,2,7,5,1,4,6] => [4,6,7,5,1,3,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,6,1,4,2,3,7] => [3,2,7,4,6,5,1] => [6,5,1,3,2,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,4,2,7,3] => [3,2,7,4,6,1,5] => [5,6,1,3,2,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,4,3,2,7] => [3,2,7,4,5,6,1] => [6,1,3,2,5,7,4] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,4,3,7,2] => [3,2,7,4,5,1,6] => [5,1,3,2,6,7,4] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[5,6,1,4,7,2,3] => [3,2,7,4,1,6,5] => [6,5,7,4,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,4,7,3,2] => [3,2,7,4,1,5,6] => [5,6,7,4,1,3,2] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,7,2,3,4] => [3,2,7,1,6,5,4] => [6,5,4,7,1,3,2] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,7,2,4,3] => [3,2,7,1,6,4,5] => [5,6,4,7,1,3,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,6,1,7,3,2,4] => [3,2,7,1,5,6,4] => [6,4,5,7,1,3,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,6,1,7,3,4,2] => [3,2,7,1,5,4,6] => [5,4,6,7,1,3,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,6,1,7,4,2,3] => [3,2,7,1,4,6,5] => [4,6,5,7,1,3,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,6,1,7,4,3,2] => [3,2,7,1,4,5,6] => [4,5,6,7,1,3,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,6,2,1,3,4,7] => [3,2,6,7,5,4,1] => [7,5,4,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,1,3,7,4] => [3,2,6,7,5,1,4] => [4,7,5,1,3,2,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,1,4,3,7] => [3,2,6,7,4,5,1] => [5,1,3,2,7,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,6,2,1,4,7,3] => [3,2,6,7,4,1,5] => [5,7,4,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,6,2,1,7,3,4] => [3,2,6,7,1,5,4] => [5,4,7,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[5,6,2,1,7,4,3] => [3,2,6,7,1,4,5] => [4,5,7,1,3,2,6] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,6,2,3,1,4,7] => [3,2,6,5,7,4,1] => [7,4,1,3,2,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,3,1,7,4] => [3,2,6,5,7,1,4] => [4,7,1,3,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,6,2,3,4,1,7] => [3,2,6,5,4,7,1] => [7,1,3,2,6,5,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,3,4,7,1] => [3,2,6,5,4,1,7] => [6,5,4,1,3,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,3,7,1,4] => [3,2,6,5,1,7,4] => [7,4,6,5,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,3,7,4,1] => [3,2,6,5,1,4,7] => [4,6,5,1,3,2,7] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,4,1,3,7] => [3,2,6,4,7,5,1] => [7,5,1,3,2,6,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,4,1,7,3] => [3,2,6,4,7,1,5] => [5,7,1,3,2,6,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,2,4,3,1,7] => [3,2,6,4,5,7,1] => [7,1,3,2,5,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,4,3,7,1] => [3,2,6,4,5,1,7] => [5,1,3,2,6,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,6,2,4,7,1,3] => [3,2,6,4,1,7,5] => [7,5,6,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,4,7,3,1] => [3,2,6,4,1,5,7] => [5,6,4,1,3,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,2,7,1,3,4] => [3,2,6,1,7,5,4] => [7,5,4,6,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,7,1,4,3] => [3,2,6,1,7,4,5] => [5,7,4,6,1,3,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,7,3,1,4] => [3,2,6,1,5,7,4] => [7,4,5,6,1,3,2] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,7,3,4,1] => [3,2,6,1,5,4,7] => [5,4,6,1,3,2,7] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,7,4,1,3] => [3,2,6,1,4,7,5] => [4,7,5,6,1,3,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,6,2,7,4,3,1] => [3,2,6,1,4,5,7] => [4,5,6,1,3,2,7] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,1,2,4,7] => [3,2,5,7,6,4,1] => [7,6,4,1,3,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,1,2,7,4] => [3,2,5,7,6,1,4] => [4,7,6,1,3,2,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,1,4,2,7] => [3,2,5,7,4,6,1] => [6,1,3,2,7,4,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,1,4,7,2] => [3,2,5,7,4,1,6] => [6,7,4,1,3,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,3,1,7,2,4] => [3,2,5,7,1,6,4] => [6,4,7,1,3,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[5,6,3,1,7,4,2] => [3,2,5,7,1,4,6] => [4,6,7,1,3,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,3,2,1,4,7] => [3,2,5,6,7,4,1] => [7,4,1,3,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,2,1,7,4] => [3,2,5,6,7,1,4] => [4,7,1,3,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,3,2,4,1,7] => [3,2,5,6,4,7,1] => [7,1,3,2,6,4,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,2,4,7,1] => [3,2,5,6,4,1,7] => [6,4,1,3,2,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,2,7,1,4] => [3,2,5,6,1,7,4] => [7,4,6,1,3,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,3,2,7,4,1] => [3,2,5,6,1,4,7] => [4,6,1,3,2,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,3,4,1,2,7] => [3,2,5,4,7,6,1] => [7,6,1,3,2,5,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,4,1,7,2] => [3,2,5,4,7,1,6] => [6,7,1,3,2,5,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,3,4,2,1,7] => [3,2,5,4,6,7,1] => [7,1,3,2,5,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,6,3,4,2,7,1] => [3,2,5,4,6,1,7] => [6,1,3,2,5,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,6,3,4,7,1,2] => [3,2,5,4,1,7,6] => [5,4,1,3,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,4,7,2,1] => [3,2,5,4,1,6,7] => [5,4,1,3,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,7,1,2,4] => [3,2,5,1,7,6,4] => [7,6,4,5,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,7,1,4,2] => [3,2,5,1,7,4,6] => [6,7,4,5,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,3,7,2,1,4] => [3,2,5,1,6,7,4] => [7,4,5,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,3,7,2,4,1] => [3,2,5,1,6,4,7] => [6,4,5,1,3,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,3,7,4,1,2] => [3,2,5,1,4,7,6] => [4,5,1,3,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,3,7,4,2,1] => [3,2,5,1,4,6,7] => [4,5,1,3,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,4,1,2,3,7] => [3,2,4,7,6,5,1] => [7,6,5,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,1,2,7,3] => [3,2,4,7,6,1,5] => [5,7,6,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,6,4,1,3,2,7] => [3,2,4,7,5,6,1] => [6,1,3,2,4,7,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,1,3,7,2] => [3,2,4,7,5,1,6] => [6,7,5,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,4,1,7,2,3] => [3,2,4,7,1,6,5] => [6,5,7,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,6,4,1,7,3,2] => [3,2,4,7,1,5,6] => [5,6,7,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,6,4,2,1,3,7] => [3,2,4,6,7,5,1] => [7,5,1,3,2,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,2,1,7,3] => [3,2,4,6,7,1,5] => [5,7,1,3,2,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,4,2,3,1,7] => [3,2,4,6,5,7,1] => [7,1,3,2,4,6,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,6,4,2,3,7,1] => [3,2,4,6,5,1,7] => [6,5,1,3,2,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,2,7,1,3] => [3,2,4,6,1,7,5] => [7,5,6,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,4,2,7,3,1] => [3,2,4,6,1,5,7] => [5,6,1,3,2,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,4,3,1,2,7] => [3,2,4,5,7,6,1] => [7,6,1,3,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,3,1,7,2] => [3,2,4,5,7,1,6] => [6,7,1,3,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,4,3,2,1,7] => [3,2,4,5,6,7,1] => [7,1,3,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,3,2,7,1] => [3,2,4,5,6,1,7] => [6,1,3,2,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,3,7,1,2] => [3,2,4,5,1,7,6] => [5,1,3,2,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,3,7,2,1] => [3,2,4,5,1,6,7] => [5,1,3,2,4,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,7,1,2,3] => [3,2,4,1,7,6,5] => [4,1,3,2,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,6,4,7,1,3,2] => [3,2,4,1,7,5,6] => [4,1,3,2,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,6,4,7,2,1,3] => [3,2,4,1,6,7,5] => [4,1,3,2,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,6,4,7,2,3,1] => [3,2,4,1,6,5,7] => [4,1,3,2,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,7,3,1,2] => [3,2,4,1,5,7,6] => [4,1,3,2,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,7,3,2,1] => [3,2,4,1,5,6,7] => [4,1,3,2,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,1,2,3,4] => [3,2,1,7,6,5,4] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,1,2,4,3] => [3,2,1,7,6,4,5] => [3,2,1,5,7,6,4] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,6,7,1,3,2,4] => [3,2,1,7,5,6,4] => [3,2,1,6,4,7,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
[5,6,7,1,3,4,2] => [3,2,1,7,5,4,6] => [3,2,1,6,7,5,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,1,4,2,3] => [3,2,1,7,4,6,5] => [3,2,1,6,5,7,4] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,6,7,1,4,3,2] => [3,2,1,7,4,5,6] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,6,7,2,1,3,4] => [3,2,1,6,7,5,4] => [3,2,1,7,5,4,6] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,6,7,2,1,4,3] => [3,2,1,6,7,4,5] => [3,2,1,5,7,4,6] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
[5,6,7,2,3,1,4] => [3,2,1,6,5,7,4] => [3,2,1,7,4,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,6,7,2,3,4,1] => [3,2,1,6,5,4,7] => [3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
[5,6,7,2,4,1,3] => [3,2,1,6,4,7,5] => [3,2,1,7,5,6,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,2,4,3,1] => [3,2,1,6,4,5,7] => [3,2,1,5,6,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,6,7,3,1,2,4] => [3,2,1,5,7,6,4] => [3,2,1,7,6,4,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,3,1,4,2] => [3,2,1,5,7,4,6] => [3,2,1,6,7,4,5] => ([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
[5,6,7,3,2,1,4] => [3,2,1,5,6,7,4] => [3,2,1,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,6,7,3,2,4,1] => [3,2,1,5,6,4,7] => [3,2,1,6,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,6,7,3,4,1,2] => [3,2,1,5,4,7,6] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7)
[5,6,7,3,4,2,1] => [3,2,1,5,4,6,7] => [3,2,1,5,4,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[5,6,7,4,1,2,3] => [3,2,1,4,7,6,5] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
[5,6,7,4,1,3,2] => [3,2,1,4,7,5,6] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,6,7,4,2,1,3] => [3,2,1,4,6,7,5] => [3,2,1,4,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,6,7,4,2,3,1] => [3,2,1,4,6,5,7] => [3,2,1,4,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[5,6,7,4,3,1,2] => [3,2,1,4,5,7,6] => [3,2,1,4,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[5,6,7,4,3,2,1] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[5,7,1,2,3,4,6] => [3,1,7,6,5,4,2] => [7,6,5,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,2,3,6,4] => [3,1,7,6,5,2,4] => [4,7,6,5,2,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,1,2,4,3,6] => [3,1,7,6,4,5,2] => [5,2,3,1,7,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,1,2,4,6,3] => [3,1,7,6,4,2,5] => [5,7,6,4,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,2,6,3,4] => [3,1,7,6,2,5,4] => [5,4,7,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,1,2,6,4,3] => [3,1,7,6,2,4,5] => [4,5,7,6,2,3,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,1,3,2,4,6] => [3,1,7,5,6,4,2] => [6,4,2,3,1,7,5] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,3,2,6,4] => [3,1,7,5,6,2,4] => [4,6,2,3,1,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,3,4,2,6] => [3,1,7,5,4,6,2] => [6,2,3,1,7,5,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,3,4,6,2] => [3,1,7,5,4,2,6] => [6,7,5,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,3,6,2,4] => [3,1,7,5,2,6,4] => [6,4,7,5,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,1,3,6,4,2] => [3,1,7,5,2,4,6] => [4,6,7,5,2,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,1,4,2,3,6] => [3,1,7,4,6,5,2] => [6,5,2,3,1,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,4,2,6,3] => [3,1,7,4,6,2,5] => [5,6,2,3,1,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,7,1,4,3,2,6] => [3,1,7,4,5,6,2] => [6,2,3,1,5,7,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,7,1,4,3,6,2] => [3,1,7,4,5,2,6] => [5,2,3,1,6,7,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,1,4,6,2,3] => [3,1,7,4,2,6,5] => [6,5,7,4,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,4,6,3,2] => [3,1,7,4,2,5,6] => [5,6,7,4,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,6,2,3,4] => [3,1,7,2,6,5,4] => [6,5,4,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,1,6,2,4,3] => [3,1,7,2,6,4,5] => [5,6,4,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,1,6,3,2,4] => [3,1,7,2,5,6,4] => [6,4,5,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,1,6,3,4,2] => [3,1,7,2,5,4,6] => [5,4,6,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,1,6,4,2,3] => [3,1,7,2,4,6,5] => [4,6,5,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,1,6,4,3,2] => [3,1,7,2,4,5,6] => [4,5,6,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,2,1,3,4,6] => [3,1,6,7,5,4,2] => [7,5,4,2,3,1,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,1,3,6,4] => [3,1,6,7,5,2,4] => [4,7,5,2,3,1,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,1,4,3,6] => [3,1,6,7,4,5,2] => [5,2,3,1,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,7,2,1,4,6,3] => [3,1,6,7,4,2,5] => [5,7,4,2,3,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,1,6,3,4] => [3,1,6,7,2,5,4] => [5,4,7,2,3,1,6] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,1,6,4,3] => [3,1,6,7,2,4,5] => [4,5,7,2,3,1,6] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,3,1,4,6] => [3,1,6,5,7,4,2] => [7,4,2,3,1,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,3,1,6,4] => [3,1,6,5,7,2,4] => [4,7,2,3,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,3,4,1,6] => [3,1,6,5,4,7,2] => [7,2,3,1,6,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,7,2,3,4,6,1] => [3,1,6,5,4,2,7] => [6,5,4,2,3,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,3,6,1,4] => [3,1,6,5,2,7,4] => [7,4,6,5,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,3,6,4,1] => [3,1,6,5,2,4,7] => [4,6,5,2,3,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,2,4,1,3,6] => [3,1,6,4,7,5,2] => [7,5,2,3,1,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,4,1,6,3] => [3,1,6,4,7,2,5] => [5,7,2,3,1,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,7,2,4,3,1,6] => [3,1,6,4,5,7,2] => [7,2,3,1,5,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,7,2,4,3,6,1] => [3,1,6,4,5,2,7] => [5,2,3,1,6,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,2,4,6,1,3] => [3,1,6,4,2,7,5] => [7,5,6,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,4,6,3,1] => [3,1,6,4,2,5,7] => [5,6,4,2,3,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,6,1,3,4] => [3,1,6,2,7,5,4] => [7,5,4,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,6,1,4,3] => [3,1,6,2,7,4,5] => [5,7,4,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,2,6,3,1,4] => [3,1,6,2,5,7,4] => [7,4,5,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,6,3,4,1] => [3,1,6,2,5,4,7] => [5,4,6,2,3,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,2,6,4,1,3] => [3,1,6,2,4,7,5] => [4,7,5,6,2,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,2,6,4,3,1] => [3,1,6,2,4,5,7] => [4,5,6,2,3,1,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,3,1,2,4,6] => [3,1,5,7,6,4,2] => [7,6,4,2,3,1,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,1,2,6,4] => [3,1,5,7,6,2,4] => [4,7,6,2,3,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,1,4,2,6] => [3,1,5,7,4,6,2] => [6,2,3,1,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,1,4,6,2] => [3,1,5,7,4,2,6] => [6,7,4,2,3,1,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,3,1,6,2,4] => [3,1,5,7,2,6,4] => [6,4,7,2,3,1,5] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,7,3,1,6,4,2] => [3,1,5,7,2,4,6] => [4,6,7,2,3,1,5] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,3,2,1,4,6] => [3,1,5,6,7,4,2] => [7,4,2,3,1,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,2,1,6,4] => [3,1,5,6,7,2,4] => [4,7,2,3,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,2,4,1,6] => [3,1,5,6,4,7,2] => [7,2,3,1,6,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,7,3,2,4,6,1] => [3,1,5,6,4,2,7] => [6,4,2,3,1,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,2,6,1,4] => [3,1,5,6,2,7,4] => [7,4,6,2,3,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,2,6,4,1] => [3,1,5,6,2,4,7] => [4,6,2,3,1,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,4,1,2,6] => [3,1,5,4,7,6,2] => [7,6,2,3,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,4,1,6,2] => [3,1,5,4,7,2,6] => [6,7,2,3,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,3,4,2,1,6] => [3,1,5,4,6,7,2] => [7,2,3,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,4,2,6,1] => [3,1,5,4,6,2,7] => [6,2,3,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,4,6,1,2] => [3,1,5,4,2,7,6] => [5,4,2,3,1,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,4,6,2,1] => [3,1,5,4,2,6,7] => [5,4,2,3,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,6,1,2,4] => [3,1,5,2,7,6,4] => [7,6,4,5,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,6,1,4,2] => [3,1,5,2,7,4,6] => [6,7,4,5,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,3,6,2,1,4] => [3,1,5,2,6,7,4] => [7,4,5,2,3,1,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,6,2,4,1] => [3,1,5,2,6,4,7] => [6,4,5,2,3,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,6,4,1,2] => [3,1,5,2,4,7,6] => [4,5,2,3,1,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,3,6,4,2,1] => [3,1,5,2,4,6,7] => [4,5,2,3,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,4,1,2,3,6] => [3,1,4,7,6,5,2] => [7,6,5,2,3,1,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,1,2,6,3] => [3,1,4,7,6,2,5] => [5,7,6,2,3,1,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,7,4,1,3,2,6] => [3,1,4,7,5,6,2] => [6,2,3,1,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,4,1,3,6,2] => [3,1,4,7,5,2,6] => [6,7,5,2,3,1,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,4,1,6,2,3] => [3,1,4,7,2,6,5] => [6,5,7,2,3,1,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,7,4,1,6,3,2] => [3,1,4,7,2,5,6] => [5,6,7,2,3,1,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,7,4,2,1,3,6] => [3,1,4,6,7,5,2] => [7,5,2,3,1,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,2,1,6,3] => [3,1,4,6,7,2,5] => [5,7,2,3,1,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,4,2,3,1,6] => [3,1,4,6,5,7,2] => [7,2,3,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,2,3,6,1] => [3,1,4,6,5,2,7] => [6,5,2,3,1,4,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,2,6,1,3] => [3,1,4,6,2,7,5] => [7,5,6,2,3,1,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,4,2,6,3,1] => [3,1,4,6,2,5,7] => [5,6,2,3,1,4,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,4,3,1,2,6] => [3,1,4,5,7,6,2] => [7,6,2,3,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,3,1,6,2] => [3,1,4,5,7,2,6] => [6,7,2,3,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,4,3,2,1,6] => [3,1,4,5,6,7,2] => [7,2,3,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,3,2,6,1] => [3,1,4,5,6,2,7] => [6,2,3,1,4,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,3,6,1,2] => [3,1,4,5,2,7,6] => [5,2,3,1,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,3,6,2,1] => [3,1,4,5,2,6,7] => [5,2,3,1,4,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,6,1,2,3] => [3,1,4,2,7,6,5] => [4,2,3,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,6,1,3,2] => [3,1,4,2,7,5,6] => [4,2,3,1,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,7,4,6,2,1,3] => [3,1,4,2,6,7,5] => [4,2,3,1,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,7,4,6,2,3,1] => [3,1,4,2,6,5,7] => [4,2,3,1,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,6,3,1,2] => [3,1,4,2,5,7,6] => [4,2,3,1,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,6,3,2,1] => [3,1,4,2,5,6,7] => [4,2,3,1,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,1,2,3,4] => [3,1,2,7,6,5,4] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,1,2,4,3] => [3,1,2,7,6,4,5] => [2,3,1,5,7,6,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,7,6,1,3,2,4] => [3,1,2,7,5,6,4] => [2,3,1,6,4,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,7,6,1,3,4,2] => [3,1,2,7,5,4,6] => [2,3,1,6,7,5,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,7,6,1,4,2,3] => [3,1,2,7,4,6,5] => [2,3,1,6,5,7,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,7,6,1,4,3,2] => [3,1,2,7,4,5,6] => [2,3,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,2,1,3,4] => [3,1,2,6,7,5,4] => [2,3,1,7,5,4,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,7,6,2,1,4,3] => [3,1,2,6,7,4,5] => [2,3,1,5,7,4,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,7,6,2,3,1,4] => [3,1,2,6,5,7,4] => [2,3,1,7,4,6,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,7,6,2,3,4,1] => [3,1,2,6,5,4,7] => [2,3,1,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,7,6,2,4,1,3] => [3,1,2,6,4,7,5] => [2,3,1,7,5,6,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,7,6,2,4,3,1] => [3,1,2,6,4,5,7] => [2,3,1,5,6,4,7] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,3,1,2,4] => [3,1,2,5,7,6,4] => [2,3,1,7,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,7,6,3,1,4,2] => [3,1,2,5,7,4,6] => [2,3,1,6,7,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[5,7,6,3,2,1,4] => [3,1,2,5,6,7,4] => [2,3,1,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,3,2,4,1] => [3,1,2,5,6,4,7] => [2,3,1,6,4,5,7] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,3,4,1,2] => [3,1,2,5,4,7,6] => [2,3,1,5,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7)
[5,7,6,3,4,2,1] => [3,1,2,5,4,6,7] => [2,3,1,5,4,6,7] => ([(2,3),(4,6),(5,6)],7)
[5,7,6,4,1,2,3] => [3,1,2,4,7,6,5] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,7,6,4,1,3,2] => [3,1,2,4,7,5,6] => [2,3,1,4,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,4,2,1,3] => [3,1,2,4,6,7,5] => [2,3,1,4,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,7,6,4,2,3,1] => [3,1,2,4,6,5,7] => [2,3,1,4,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[5,7,6,4,3,1,2] => [3,1,2,4,5,7,6] => [2,3,1,4,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[5,7,6,4,3,2,1] => [3,1,2,4,5,6,7] => [2,3,1,4,5,6,7] => ([(4,6),(5,6)],7)
[6,1,2,3,4,5,7] => [2,7,6,5,4,3,1] => [7,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,3,4,7,5] => [2,7,6,5,4,1,3] => [3,7,6,5,4,1,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,3,5,4,7] => [2,7,6,5,3,4,1] => [4,1,2,7,6,5,3] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,1,2,3,5,7,4] => [2,7,6,5,3,1,4] => [4,7,6,5,3,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,2,3,7,4,5] => [2,7,6,5,1,4,3] => [4,3,7,6,5,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,3,7,5,4] => [2,7,6,5,1,3,4] => [3,4,7,6,5,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,4,3,5,7] => [2,7,6,4,5,3,1] => [5,3,1,2,7,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,2,4,3,7,5] => [2,7,6,4,5,1,3] => [3,5,1,2,7,6,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)
[6,1,2,4,5,3,7] => [2,7,6,4,3,5,1] => [5,1,2,7,6,4,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,2,4,5,7,3] => [2,7,6,4,3,1,5] => [5,7,6,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,4,7,3,5] => [2,7,6,4,1,5,3] => [5,3,7,6,4,1,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,4,7,5,3] => [2,7,6,4,1,3,5] => [3,5,7,6,4,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,5,3,4,7] => [2,7,6,3,5,4,1] => [5,4,1,2,7,6,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,5,3,7,4] => [2,7,6,3,5,1,4] => [4,5,1,2,7,6,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,2,5,4,3,7] => [2,7,6,3,4,5,1] => [5,1,2,4,7,6,3] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,2,5,4,7,3] => [2,7,6,3,4,1,5] => [4,1,2,5,7,6,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[6,1,2,5,7,3,4] => [2,7,6,3,1,5,4] => [5,4,7,6,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,2,5,7,4,3] => [2,7,6,3,1,4,5] => [4,5,7,6,3,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,2,7,3,4,5] => [2,7,6,1,5,4,3] => [5,4,3,7,6,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,7,3,5,4] => [2,7,6,1,5,3,4] => [4,5,3,7,6,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,7,4,3,5] => [2,7,6,1,4,5,3] => [5,3,4,7,6,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,7,4,5,3] => [2,7,6,1,4,3,5] => [4,3,5,7,6,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,7,5,3,4] => [2,7,6,1,3,5,4] => [3,5,4,7,6,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,7,5,4,3] => [2,7,6,1,3,4,5] => [3,4,5,7,6,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,3,2,4,5,7] => [2,7,5,6,4,3,1] => [6,4,3,1,2,7,5] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,2,4,7,5] => [2,7,5,6,4,1,3] => [3,6,4,1,2,7,5] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,3,2,5,4,7] => [2,7,5,6,3,4,1] => [4,1,2,6,3,7,5] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,3,2,5,7,4] => [2,7,5,6,3,1,4] => [4,6,3,1,2,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,2,7,4,5] => [2,7,5,6,1,4,3] => [4,3,6,1,2,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,3,2,7,5,4] => [2,7,5,6,1,3,4] => [3,4,6,1,2,7,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,1,3,4,2,5,7] => [2,7,5,4,6,3,1] => [6,3,1,2,7,5,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,4,2,7,5] => [2,7,5,4,6,1,3] => [3,6,1,2,7,5,4] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,3,4,5,2,7] => [2,7,5,4,3,6,1] => [6,1,2,7,5,4,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,4,5,7,2] => [2,7,5,4,3,1,6] => [6,7,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,4,7,2,5] => [2,7,5,4,1,6,3] => [6,3,7,5,4,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,3,4,7,5,2] => [2,7,5,4,1,3,6] => [3,6,7,5,4,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,3,5,2,4,7] => [2,7,5,3,6,4,1] => [6,4,1,2,7,5,3] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,5,2,7,4] => [2,7,5,3,6,1,4] => [4,6,1,2,7,5,3] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,5,4,2,7] => [2,7,5,3,4,6,1] => [6,1,2,4,7,5,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,3,5,4,7,2] => [2,7,5,3,4,1,6] => [4,1,2,6,7,5,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,3,5,7,2,4] => [2,7,5,3,1,6,4] => [6,4,7,5,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,3,5,7,4,2] => [2,7,5,3,1,4,6] => [4,6,7,5,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,3,7,2,4,5] => [2,7,5,1,6,4,3] => [6,4,3,7,5,1,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,3,7,2,5,4] => [2,7,5,1,6,3,4] => [4,6,3,7,5,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,3,7,4,2,5] => [2,7,5,1,4,6,3] => [6,3,4,7,5,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,3,7,4,5,2] => [2,7,5,1,4,3,6] => [4,3,6,7,5,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,3,7,5,2,4] => [2,7,5,1,3,6,4] => [3,6,4,7,5,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,3,7,5,4,2] => [2,7,5,1,3,4,6] => [3,4,6,7,5,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,4,2,3,5,7] => [2,7,4,6,5,3,1] => [6,5,3,1,2,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,2,3,7,5] => [2,7,4,6,5,1,3] => [3,6,5,1,2,7,4] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,2,5,3,7] => [2,7,4,6,3,5,1] => [5,1,2,6,3,7,4] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[6,1,4,2,5,7,3] => [2,7,4,6,3,1,5] => [5,6,3,1,2,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,4,2,7,3,5] => [2,7,4,6,1,5,3] => [5,3,6,1,2,7,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,4,2,7,5,3] => [2,7,4,6,1,3,5] => [3,5,6,1,2,7,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,1,4,3,2,5,7] => [2,7,4,5,6,3,1] => [6,3,1,2,5,7,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,1,4,3,2,7,5] => [2,7,4,5,6,1,3] => [3,6,1,2,5,7,4] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,3,5,2,7] => [2,7,4,5,3,6,1] => [6,1,2,5,3,7,4] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,3,5,7,2] => [2,7,4,5,3,1,6] => [5,3,1,2,6,7,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,4,3,7,2,5] => [2,7,4,5,1,6,3] => [6,3,5,1,2,7,4] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,3,7,5,2] => [2,7,4,5,1,3,6] => [3,5,1,2,6,7,4] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[6,1,4,5,2,3,7] => [2,7,4,3,6,5,1] => [6,5,1,2,7,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,2,7,3] => [2,7,4,3,6,1,5] => [5,6,1,2,7,4,3] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,4,5,3,2,7] => [2,7,4,3,5,6,1] => [6,1,2,5,7,4,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,3,7,2] => [2,7,4,3,5,1,6] => [5,1,2,6,7,4,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,4,5,7,2,3] => [2,7,4,3,1,6,5] => [6,5,7,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,7,3,2] => [2,7,4,3,1,5,6] => [5,6,7,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,7,2,3,5] => [2,7,4,1,6,5,3] => [6,5,3,7,4,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,4,7,2,5,3] => [2,7,4,1,6,3,5] => [5,6,3,7,4,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,4,7,3,2,5] => [2,7,4,1,5,6,3] => [6,3,5,7,4,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,4,7,3,5,2] => [2,7,4,1,5,3,6] => [5,3,6,7,4,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,4,7,5,2,3] => [2,7,4,1,3,6,5] => [3,6,5,7,4,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,4,7,5,3,2] => [2,7,4,1,3,5,6] => [3,5,6,7,4,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,2,3,4,7] => [2,7,3,6,5,4,1] => [6,5,4,1,2,7,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,2,3,7,4] => [2,7,3,6,5,1,4] => [4,6,5,1,2,7,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,5,2,4,3,7] => [2,7,3,6,4,5,1] => [5,1,2,6,4,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,2,4,7,3] => [2,7,3,6,4,1,5] => [5,6,4,1,2,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,2,7,3,4] => [2,7,3,6,1,5,4] => [5,4,6,1,2,7,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,5,2,7,4,3] => [2,7,3,6,1,4,5] => [4,5,6,1,2,7,3] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,1,5,3,2,4,7] => [2,7,3,5,6,4,1] => [6,4,1,2,5,7,3] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,3,2,7,4] => [2,7,3,5,6,1,4] => [4,6,1,2,5,7,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,5,3,4,2,7] => [2,7,3,5,4,6,1] => [6,1,2,5,4,7,3] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,3,4,7,2] => [2,7,3,5,4,1,6] => [5,4,1,2,6,7,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,5,3,7,2,4] => [2,7,3,5,1,6,4] => [6,4,5,1,2,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,3,7,4,2] => [2,7,3,5,1,4,6] => [4,5,1,2,6,7,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,5,4,2,3,7] => [2,7,3,4,6,5,1] => [6,5,1,2,4,7,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,4,2,7,3] => [2,7,3,4,6,1,5] => [5,6,1,2,4,7,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,5,4,3,2,7] => [2,7,3,4,5,6,1] => [6,1,2,4,5,7,3] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,4,3,7,2] => [2,7,3,4,5,1,6] => [5,1,2,4,6,7,3] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,5,4,7,2,3] => [2,7,3,4,1,6,5] => [4,1,2,6,5,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[6,1,5,4,7,3,2] => [2,7,3,4,1,5,6] => [4,1,2,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,1,5,7,2,3,4] => [2,7,3,1,6,5,4] => [6,5,4,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,5,7,2,4,3] => [2,7,3,1,6,4,5] => [5,6,4,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,5,7,3,2,4] => [2,7,3,1,5,6,4] => [6,4,5,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,5,7,3,4,2] => [2,7,3,1,5,4,6] => [5,4,6,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,5,7,4,2,3] => [2,7,3,1,4,6,5] => [4,6,5,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,5,7,4,3,2] => [2,7,3,1,4,5,6] => [4,5,6,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,7,2,3,4,5] => [2,7,1,6,5,4,3] => [6,5,4,3,7,1,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,2,3,5,4] => [2,7,1,6,5,3,4] => [4,6,5,3,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,2,4,3,5] => [2,7,1,6,4,5,3] => [5,3,6,4,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,2,4,5,3] => [2,7,1,6,4,3,5] => [5,6,4,3,7,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,2,5,3,4] => [2,7,1,6,3,5,4] => [5,4,6,3,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,2,5,4,3] => [2,7,1,6,3,4,5] => [4,5,6,3,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,3,2,4,5] => [2,7,1,5,6,4,3] => [6,4,3,5,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,3,2,5,4] => [2,7,1,5,6,3,4] => [4,6,3,5,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,3,4,2,5] => [2,7,1,5,4,6,3] => [6,3,5,4,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,3,4,5,2] => [2,7,1,5,4,3,6] => [5,4,3,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,3,5,2,4] => [2,7,1,5,3,6,4] => [6,4,5,3,7,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,3,5,4,2] => [2,7,1,5,3,4,6] => [4,5,3,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,4,2,3,5] => [2,7,1,4,6,5,3] => [6,5,3,4,7,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,4,2,5,3] => [2,7,1,4,6,3,5] => [5,6,3,4,7,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,4,3,2,5] => [2,7,1,4,5,6,3] => [6,3,4,5,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,4,3,5,2] => [2,7,1,4,5,3,6] => [5,3,4,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,4,5,2,3] => [2,7,1,4,3,6,5] => [4,3,6,5,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,4,5,3,2] => [2,7,1,4,3,5,6] => [4,3,5,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,5,2,3,4] => [2,7,1,3,6,5,4] => [3,6,5,4,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,5,2,4,3] => [2,7,1,3,6,4,5] => [3,5,6,4,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,5,3,2,4] => [2,7,1,3,5,6,4] => [3,6,4,5,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,5,3,4,2] => [2,7,1,3,5,4,6] => [3,5,4,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,5,4,2,3] => [2,7,1,3,4,6,5] => [3,4,6,5,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,7,5,4,3,2] => [2,7,1,3,4,5,6] => [3,4,5,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,3,4,5,7] => [2,6,7,5,4,3,1] => [7,5,4,3,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,4,7,5] => [2,6,7,5,4,1,3] => [3,7,5,4,1,2,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,1,3,5,4,7] => [2,6,7,5,3,4,1] => [4,1,2,7,5,3,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,1,3,5,7,4] => [2,6,7,5,3,1,4] => [4,7,5,3,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,7,4,5] => [2,6,7,5,1,4,3] => [4,3,7,5,1,2,6] => ([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,1,3,7,5,4] => [2,6,7,5,1,3,4] => [3,4,7,5,1,2,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,1,4,3,5,7] => [2,6,7,4,5,3,1] => [5,3,1,2,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[6,2,1,4,3,7,5] => [2,6,7,4,5,1,3] => [3,5,1,2,7,4,6] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[6,2,1,4,5,3,7] => [2,6,7,4,3,5,1] => [5,1,2,7,4,3,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,1,4,5,7,3] => [2,6,7,4,3,1,5] => [5,7,4,3,1,2,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,4,7,3,5] => [2,6,7,4,1,5,3] => [5,3,7,4,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,1,4,7,5,3] => [2,6,7,4,1,3,5] => [3,5,7,4,1,2,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,1,5,3,4,7] => [2,6,7,3,5,4,1] => [5,4,1,2,7,3,6] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,2,1,5,3,7,4] => [2,6,7,3,5,1,4] => [4,5,1,2,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,2,1,5,4,3,7] => [2,6,7,3,4,5,1] => [5,1,2,4,7,3,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,1,5,4,7,3] => [2,6,7,3,4,1,5] => [4,1,2,5,7,3,6] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,1,5,7,3,4] => [2,6,7,3,1,5,4] => [5,4,7,3,1,2,6] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,5,7,4,3] => [2,6,7,3,1,4,5] => [4,5,7,3,1,2,6] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,7,3,4,5] => [2,6,7,1,5,4,3] => [5,4,3,7,1,2,6] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,7,3,5,4] => [2,6,7,1,5,3,4] => [4,5,3,7,1,2,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,1,7,4,3,5] => [2,6,7,1,4,5,3] => [5,3,4,7,1,2,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,1,7,4,5,3] => [2,6,7,1,4,3,5] => [4,3,5,7,1,2,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,7,5,3,4] => [2,6,7,1,3,5,4] => [3,5,4,7,1,2,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,7,5,4,3] => [2,6,7,1,3,4,5] => [3,4,5,7,1,2,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,3,1,4,5,7] => [2,6,5,7,4,3,1] => [7,4,3,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,1,4,7,5] => [2,6,5,7,4,1,3] => [3,7,4,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,1,5,4,7] => [2,6,5,7,3,4,1] => [4,1,2,7,3,6,5] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[6,2,3,1,5,7,4] => [2,6,5,7,3,1,4] => [4,7,3,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,1,7,4,5] => [2,6,5,7,1,4,3] => [4,3,7,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,3,1,7,5,4] => [2,6,5,7,1,3,4] => [3,4,7,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,3,4,1,5,7] => [2,6,5,4,7,3,1] => [7,3,1,2,6,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,2,3,4,1,7,5] => [2,6,5,4,7,1,3] => [3,7,1,2,6,5,4] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,4,5,1,7] => [2,6,5,4,3,7,1] => [7,1,2,6,5,4,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,4,5,7,1] => [2,6,5,4,3,1,7] => [6,5,4,3,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,4,7,1,5] => [2,6,5,4,1,7,3] => [7,3,6,5,4,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,3,4,7,5,1] => [2,6,5,4,1,3,7] => [3,6,5,4,1,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,3,5,1,4,7] => [2,6,5,3,7,4,1] => [7,4,1,2,6,5,3] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,1,7,4] => [2,6,5,3,7,1,4] => [4,7,1,2,6,5,3] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[6,2,3,5,4,1,7] => [2,6,5,3,4,7,1] => [7,1,2,4,6,5,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,4,7,1] => [2,6,5,3,4,1,7] => [4,1,2,6,5,3,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[6,2,3,5,7,1,4] => [2,6,5,3,1,7,4] => [7,4,6,5,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,7,4,1] => [2,6,5,3,1,4,7] => [4,6,5,3,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,3,7,1,4,5] => [2,6,5,1,7,4,3] => [7,4,3,6,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,3,7,1,5,4] => [2,6,5,1,7,3,4] => [4,7,3,6,5,1,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,3,7,4,1,5] => [2,6,5,1,4,7,3] => [7,3,4,6,5,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,3,7,4,5,1] => [2,6,5,1,4,3,7] => [4,3,6,5,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,3,7,5,1,4] => [2,6,5,1,3,7,4] => [3,7,4,6,5,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,3,7,5,4,1] => [2,6,5,1,3,4,7] => [3,4,6,5,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,4,1,3,5,7] => [2,6,4,7,5,3,1] => [7,5,3,1,2,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,1,3,7,5] => [2,6,4,7,5,1,3] => [3,7,5,1,2,6,4] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,1,5,3,7] => [2,6,4,7,3,5,1] => [5,1,2,7,3,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[6,2,4,1,5,7,3] => [2,6,4,7,3,1,5] => [5,7,3,1,2,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[6,2,4,1,7,3,5] => [2,6,4,7,1,5,3] => [5,3,7,1,2,6,4] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,4,1,7,5,3] => [2,6,4,7,1,3,5] => [3,5,7,1,2,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,2,4,3,1,5,7] => [2,6,4,5,7,3,1] => [7,3,1,2,5,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,2,4,3,1,7,5] => [2,6,4,5,7,1,3] => [3,7,1,2,5,6,4] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,5,1,7] => [2,6,4,5,3,7,1] => [7,1,2,5,3,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,5,7,1] => [2,6,4,5,3,1,7] => [5,3,1,2,6,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,4,3,7,1,5] => [2,6,4,5,1,7,3] => [7,3,5,1,2,6,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,7,5,1] => [2,6,4,5,1,3,7] => [3,5,1,2,6,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,2,4,5,1,3,7] => [2,6,4,3,7,5,1] => [7,5,1,2,6,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,5,1,7,3] => [2,6,4,3,7,1,5] => [5,7,1,2,6,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,4,5,3,1,7] => [2,6,4,3,5,7,1] => [7,1,2,5,6,4,3] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,5,3,7,1] => [2,6,4,3,5,1,7] => [5,1,2,6,4,3,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,4,5,7,1,3] => [2,6,4,3,1,7,5] => [7,5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,5,7,3,1] => [2,6,4,3,1,5,7] => [5,6,4,3,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,7,1,3,5] => [2,6,4,1,7,5,3] => [7,5,3,6,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,4,7,1,5,3] => [2,6,4,1,7,3,5] => [5,7,3,6,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,4,7,3,1,5] => [2,6,4,1,5,7,3] => [7,3,5,6,4,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,4,7,3,5,1] => [2,6,4,1,5,3,7] => [5,3,6,4,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,4,7,5,1,3] => [2,6,4,1,3,7,5] => [3,7,5,6,4,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,4,7,5,3,1] => [2,6,4,1,3,5,7] => [3,5,6,4,1,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,5,1,3,4,7] => [2,6,3,7,5,4,1] => [7,5,4,1,2,6,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,3,7,4] => [2,6,3,7,5,1,4] => [4,7,5,1,2,6,3] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,4,3,7] => [2,6,3,7,4,5,1] => [5,1,2,7,4,6,3] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,5,1,4,7,3] => [2,6,3,7,4,1,5] => [5,7,4,1,2,6,3] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,5,1,7,3,4] => [2,6,3,7,1,5,4] => [5,4,7,1,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[6,2,5,1,7,4,3] => [2,6,3,7,1,4,5] => [4,5,7,1,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7)
[6,2,5,3,1,4,7] => [2,6,3,5,7,4,1] => [7,4,1,2,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,1,7,4] => [2,6,3,5,7,1,4] => [4,7,1,2,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[6,2,5,3,4,1,7] => [2,6,3,5,4,7,1] => [7,1,2,5,4,6,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,4,7,1] => [2,6,3,5,4,1,7] => [5,4,1,2,6,3,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,7,1,4] => [2,6,3,5,1,7,4] => [7,4,5,1,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,7,4,1] => [2,6,3,5,1,4,7] => [4,5,1,2,6,3,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,5,4,1,3,7] => [2,6,3,4,7,5,1] => [7,5,1,2,4,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,4,1,7,3] => [2,6,3,4,7,1,5] => [5,7,1,2,4,6,3] => ([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,2,5,4,3,1,7] => [2,6,3,4,5,7,1] => [7,1,2,4,5,6,3] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,4,3,7,1] => [2,6,3,4,5,1,7] => [5,1,2,4,6,3,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,5,4,7,1,3] => [2,6,3,4,1,7,5] => [4,1,2,7,5,6,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,5,4,7,3,1] => [2,6,3,4,1,5,7] => [4,1,2,5,6,3,7] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,2,5,7,1,3,4] => [2,6,3,1,7,5,4] => [7,5,4,6,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,7,1,4,3] => [2,6,3,1,7,4,5] => [5,7,4,6,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,5,7,3,1,4] => [2,6,3,1,5,7,4] => [7,4,5,6,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,7,3,4,1] => [2,6,3,1,5,4,7] => [5,4,6,3,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,5,7,4,1,3] => [2,6,3,1,4,7,5] => [4,7,5,6,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,5,7,4,3,1] => [2,6,3,1,4,5,7] => [4,5,6,3,1,2,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,7,1,3,4,5] => [2,6,1,7,5,4,3] => [7,5,4,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,7,1,3,5,4] => [2,6,1,7,5,3,4] => [4,7,5,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,1,4,3,5] => [2,6,1,7,4,5,3] => [5,3,7,4,6,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,1,4,5,3] => [2,6,1,7,4,3,5] => [5,7,4,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,1,5,3,4] => [2,6,1,7,3,5,4] => [5,4,7,3,6,1,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,1,5,4,3] => [2,6,1,7,3,4,5] => [4,5,7,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,7,3,1,4,5] => [2,6,1,5,7,4,3] => [7,4,3,5,6,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,7,3,1,5,4] => [2,6,1,5,7,3,4] => [4,7,3,5,6,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,7,3,4,1,5] => [2,6,1,5,4,7,3] => [7,3,5,4,6,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,7,3,4,5,1] => [2,6,1,5,4,3,7] => [5,4,3,6,1,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,3,5,1,4] => [2,6,1,5,3,7,4] => [7,4,5,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,7,3,5,4,1] => [2,6,1,5,3,4,7] => [4,5,3,6,1,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,4,1,3,5] => [2,6,1,4,7,5,3] => [7,5,3,4,6,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,7,4,1,5,3] => [2,6,1,4,7,3,5] => [5,7,3,4,6,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,7,4,3,1,5] => [2,6,1,4,5,7,3] => [7,3,4,5,6,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,7,4,3,5,1] => [2,6,1,4,5,3,7] => [5,3,4,6,1,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,4,5,1,3] => [2,6,1,4,3,7,5] => [4,3,7,5,6,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,4,5,3,1] => [2,6,1,4,3,5,7] => [4,3,5,6,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,5,1,3,4] => [2,6,1,3,7,5,4] => [3,7,5,4,6,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,5,1,4,3] => [2,6,1,3,7,4,5] => [3,5,7,4,6,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,5,3,1,4] => [2,6,1,3,5,7,4] => [3,7,4,5,6,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,5,3,4,1] => [2,6,1,3,5,4,7] => [3,5,4,6,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,5,4,1,3] => [2,6,1,3,4,7,5] => [3,4,7,5,6,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,5,4,3,1] => [2,6,1,3,4,5,7] => [3,4,5,6,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,2,4,5,7] => [2,5,7,6,4,3,1] => [7,6,4,3,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,2,4,7,5] => [2,5,7,6,4,1,3] => [3,7,6,4,1,2,5] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,2,5,4,7] => [2,5,7,6,3,4,1] => [4,1,2,7,6,3,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)
[6,3,1,2,5,7,4] => [2,5,7,6,3,1,4] => [4,7,6,3,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,2,7,4,5] => [2,5,7,6,1,4,3] => [4,3,7,6,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,2,7,5,4] => [2,5,7,6,1,3,4] => [3,4,7,6,1,2,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,4,2,5,7] => [2,5,7,4,6,3,1] => [6,3,1,2,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,4,2,7,5] => [2,5,7,4,6,1,3] => [3,6,1,2,7,4,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,1,4,5,2,7] => [2,5,7,4,3,6,1] => [6,1,2,7,4,3,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,4,5,7,2] => [2,5,7,4,3,1,6] => [6,7,4,3,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,4,7,2,5] => [2,5,7,4,1,6,3] => [6,3,7,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,4,7,5,2] => [2,5,7,4,1,3,6] => [3,6,7,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,5,2,4,7] => [2,5,7,3,6,4,1] => [6,4,1,2,7,3,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,3,1,5,2,7,4] => [2,5,7,3,6,1,4] => [4,6,1,2,7,3,5] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[6,3,1,5,4,2,7] => [2,5,7,3,4,6,1] => [6,1,2,4,7,3,5] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,1,5,4,7,2] => [2,5,7,3,4,1,6] => [4,1,2,6,7,3,5] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[6,3,1,5,7,2,4] => [2,5,7,3,1,6,4] => [6,4,7,3,1,2,5] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,3,1,5,7,4,2] => [2,5,7,3,1,4,6] => [4,6,7,3,1,2,5] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,1,7,2,4,5] => [2,5,7,1,6,4,3] => [6,4,3,7,1,2,5] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,1,7,2,5,4] => [2,5,7,1,6,3,4] => [4,6,3,7,1,2,5] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,1,7,4,2,5] => [2,5,7,1,4,6,3] => [6,3,4,7,1,2,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,1,7,4,5,2] => [2,5,7,1,4,3,6] => [4,3,6,7,1,2,5] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,7,5,2,4] => [2,5,7,1,3,6,4] => [3,6,4,7,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,7,5,4,2] => [2,5,7,1,3,4,6] => [3,4,6,7,1,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,2,1,4,5,7] => [2,5,6,7,4,3,1] => [7,4,3,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,4,7,5] => [2,5,6,7,4,1,3] => [3,7,4,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,2,1,5,4,7] => [2,5,6,7,3,4,1] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[6,3,2,1,5,7,4] => [2,5,6,7,3,1,4] => [4,7,3,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,7,4,5] => [2,5,6,7,1,4,3] => [4,3,7,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,2,1,7,5,4] => [2,5,6,7,1,3,4] => [3,4,7,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,2,4,1,5,7] => [2,5,6,4,7,3,1] => [7,3,1,2,6,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,3,2,4,1,7,5] => [2,5,6,4,7,1,3] => [3,7,1,2,6,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,5,1,7] => [2,5,6,4,3,7,1] => [7,1,2,6,4,3,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,5,7,1] => [2,5,6,4,3,1,7] => [6,4,3,1,2,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,7,1,5] => [2,5,6,4,1,7,3] => [7,3,6,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,7,5,1] => [2,5,6,4,1,3,7] => [3,6,4,1,2,5,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,2,5,1,4,7] => [2,5,6,3,7,4,1] => [7,4,1,2,6,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,5,1,7,4] => [2,5,6,3,7,1,4] => [4,7,1,2,6,3,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,2,5,4,1,7] => [2,5,6,3,4,7,1] => [7,1,2,4,6,3,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,5,4,7,1] => [2,5,6,3,4,1,7] => [4,1,2,6,3,5,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[6,3,2,5,7,1,4] => [2,5,6,3,1,7,4] => [7,4,6,3,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,5,7,4,1] => [2,5,6,3,1,4,7] => [4,6,3,1,2,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,7,1,4,5] => [2,5,6,1,7,4,3] => [7,4,3,6,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,7,1,5,4] => [2,5,6,1,7,3,4] => [4,7,3,6,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,7,4,1,5] => [2,5,6,1,4,7,3] => [7,3,4,6,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,7,4,5,1] => [2,5,6,1,4,3,7] => [4,3,6,1,2,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,2,7,5,1,4] => [2,5,6,1,3,7,4] => [3,7,4,6,1,2,5] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,2,7,5,4,1] => [2,5,6,1,3,4,7] => [3,4,6,1,2,5,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,4,1,2,5,7] => [2,5,4,7,6,3,1] => [7,6,3,1,2,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,1,2,7,5] => [2,5,4,7,6,1,3] => [3,7,6,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,1,5,2,7] => [2,5,4,7,3,6,1] => [6,1,2,7,3,5,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,4,1,5,7,2] => [2,5,4,7,3,1,6] => [6,7,3,1,2,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,4,1,7,2,5] => [2,5,4,7,1,6,3] => [6,3,7,1,2,5,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,4,1,7,5,2] => [2,5,4,7,1,3,6] => [3,6,7,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,4,2,1,5,7] => [2,5,4,6,7,3,1] => [7,3,1,2,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,2,1,7,5] => [2,5,4,6,7,1,3] => [3,7,1,2,5,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,2,5,1,7] => [2,5,4,6,3,7,1] => [7,1,2,6,3,5,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,2,5,7,1] => [2,5,4,6,3,1,7] => [6,3,1,2,5,4,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,2,7,1,5] => [2,5,4,6,1,7,3] => [7,3,6,1,2,5,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,2,7,5,1] => [2,5,4,6,1,3,7] => [3,6,1,2,5,4,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,5,1,2,7] => [2,5,4,3,7,6,1] => [7,6,1,2,5,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,5,1,7,2] => [2,5,4,3,7,1,6] => [6,7,1,2,5,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,4,5,2,1,7] => [2,5,4,3,6,7,1] => [7,1,2,5,4,3,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,5,2,7,1] => [2,5,4,3,6,1,7] => [6,1,2,5,4,3,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,5,7,1,2] => [2,5,4,3,1,7,6] => [5,4,3,1,2,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,5,7,2,1] => [2,5,4,3,1,6,7] => [5,4,3,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,7,1,2,5] => [2,5,4,1,7,6,3] => [7,6,3,5,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,7,1,5,2] => [2,5,4,1,7,3,6] => [6,7,3,5,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,4,7,2,1,5] => [2,5,4,1,6,7,3] => [7,3,5,4,1,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,4,7,2,5,1] => [2,5,4,1,6,3,7] => [6,3,5,4,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,4,7,5,1,2] => [2,5,4,1,3,7,6] => [3,5,4,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,4,7,5,2,1] => [2,5,4,1,3,6,7] => [3,5,4,1,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,5,1,2,4,7] => [2,5,3,7,6,4,1] => [7,6,4,1,2,5,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,2,7,4] => [2,5,3,7,6,1,4] => [4,7,6,1,2,5,3] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,4,2,7] => [2,5,3,7,4,6,1] => [6,1,2,7,4,5,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,4,7,2] => [2,5,3,7,4,1,6] => [6,7,4,1,2,5,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,5,1,7,2,4] => [2,5,3,7,1,6,4] => [6,4,7,1,2,5,3] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,5,1,7,4,2] => [2,5,3,7,1,4,6] => [4,6,7,1,2,5,3] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,5,2,1,4,7] => [2,5,3,6,7,4,1] => [7,4,1,2,5,3,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,1,7,4] => [2,5,3,6,7,1,4] => [4,7,1,2,5,3,6] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[6,3,5,2,4,1,7] => [2,5,3,6,4,7,1] => [7,1,2,6,4,5,3] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,4,7,1] => [2,5,3,6,4,1,7] => [6,4,1,2,5,3,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,7,1,4] => [2,5,3,6,1,7,4] => [7,4,6,1,2,5,3] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,7,4,1] => [2,5,3,6,1,4,7] => [4,6,1,2,5,3,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[6,3,5,4,1,2,7] => [2,5,3,4,7,6,1] => [7,6,1,2,4,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,1,7,2] => [2,5,3,4,7,1,6] => [6,7,1,2,4,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,5,4,2,1,7] => [2,5,3,4,6,7,1] => [7,1,2,4,5,3,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,2,7,1] => [2,5,3,4,6,1,7] => [6,1,2,4,5,3,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,7,1,2] => [2,5,3,4,1,7,6] => [4,1,2,5,3,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,3,5,4,7,2,1] => [2,5,3,4,1,6,7] => [4,1,2,5,3,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[6,3,5,7,1,2,4] => [2,5,3,1,7,6,4] => [7,6,4,5,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,7,1,4,2] => [2,5,3,1,7,4,6] => [6,7,4,5,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,5,7,2,1,4] => [2,5,3,1,6,7,4] => [7,4,5,3,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,7,2,4,1] => [2,5,3,1,6,4,7] => [6,4,5,3,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,7,4,1,2] => [2,5,3,1,4,7,6] => [4,5,3,1,2,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,5,7,4,2,1] => [2,5,3,1,4,6,7] => [4,5,3,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,7,1,2,4,5] => [2,5,1,7,6,4,3] => [7,6,4,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,1,2,5,4] => [2,5,1,7,6,3,4] => [4,7,6,3,5,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,1,4,2,5] => [2,5,1,7,4,6,3] => [6,3,7,4,5,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,7,1,4,5,2] => [2,5,1,7,4,3,6] => [6,7,4,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,1,5,2,4] => [2,5,1,7,3,6,4] => [6,4,7,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,1,5,4,2] => [2,5,1,7,3,4,6] => [4,6,7,3,5,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,7,2,1,4,5] => [2,5,1,6,7,4,3] => [7,4,3,5,1,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,7,2,1,5,4] => [2,5,1,6,7,3,4] => [4,7,3,5,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,7,2,4,1,5] => [2,5,1,6,4,7,3] => [7,3,6,4,5,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,7,2,4,5,1] => [2,5,1,6,4,3,7] => [6,4,3,5,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,7,2,5,1,4] => [2,5,1,6,3,7,4] => [7,4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,7,2,5,4,1] => [2,5,1,6,3,4,7] => [4,6,3,5,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,4,1,2,5] => [2,5,1,4,7,6,3] => [7,6,3,4,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,4,1,5,2] => [2,5,1,4,7,3,6] => [6,7,3,4,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,4,2,1,5] => [2,5,1,4,6,7,3] => [7,3,4,5,1,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,7,4,2,5,1] => [2,5,1,4,6,3,7] => [6,3,4,5,1,2,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,7,4,5,1,2] => [2,5,1,4,3,7,6] => [4,3,5,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,4,5,2,1] => [2,5,1,4,3,6,7] => [4,3,5,1,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,5,1,2,4] => [2,5,1,3,7,6,4] => [3,7,6,4,5,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,5,1,4,2] => [2,5,1,3,7,4,6] => [3,6,7,4,5,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,5,2,1,4] => [2,5,1,3,6,7,4] => [3,7,4,5,1,2,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,7,5,2,4,1] => [2,5,1,3,6,4,7] => [3,6,4,5,1,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,5,4,1,2] => [2,5,1,3,4,7,6] => [3,4,5,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,5,4,2,1] => [2,5,1,3,4,6,7] => [3,4,5,1,2,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,1,2,3,5,7] => [2,4,7,6,5,3,1] => [7,6,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,2,3,7,5] => [2,4,7,6,5,1,3] => [3,7,6,5,1,2,4] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,2,5,3,7] => [2,4,7,6,3,5,1] => [5,1,2,7,6,3,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,1,2,5,7,3] => [2,4,7,6,3,1,5] => [5,7,6,3,1,2,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,4,1,2,7,3,5] => [2,4,7,6,1,5,3] => [5,3,7,6,1,2,4] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,1,2,7,5,3] => [2,4,7,6,1,3,5] => [3,5,7,6,1,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,1,3,2,5,7] => [2,4,7,5,6,3,1] => [6,3,1,2,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,1,3,2,7,5] => [2,4,7,5,6,1,3] => [3,6,1,2,4,7,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[6,4,1,3,5,2,7] => [2,4,7,5,3,6,1] => [6,1,2,7,5,3,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,3,5,7,2] => [2,4,7,5,3,1,6] => [6,7,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,1,3,7,2,5] => [2,4,7,5,1,6,3] => [6,3,7,5,1,2,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,3,7,5,2] => [2,4,7,5,1,3,6] => [3,6,7,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,1,5,2,3,7] => [2,4,7,3,6,5,1] => [6,5,1,2,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,5,2,7,3] => [2,4,7,3,6,1,5] => [5,6,1,2,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,1,5,3,2,7] => [2,4,7,3,5,6,1] => [6,1,2,5,7,3,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,1,5,3,7,2] => [2,4,7,3,5,1,6] => [5,1,2,6,7,3,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,1,5,7,2,3] => [2,4,7,3,1,6,5] => [6,5,7,3,1,2,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,4,1,5,7,3,2] => [2,4,7,3,1,5,6] => [5,6,7,3,1,2,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,1,7,2,3,5] => [2,4,7,1,6,5,3] => [6,5,3,7,1,2,4] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,7,2,5,3] => [2,4,7,1,6,3,5] => [5,6,3,7,1,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,1,7,3,2,5] => [2,4,7,1,5,6,3] => [6,3,5,7,1,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,7,3,5,2] => [2,4,7,1,5,3,6] => [5,3,6,7,1,2,4] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,1,7,5,2,3] => [2,4,7,1,3,6,5] => [3,6,5,7,1,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,1,7,5,3,2] => [2,4,7,1,3,5,6] => [3,5,6,7,1,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,2,1,3,5,7] => [2,4,6,7,5,3,1] => [7,5,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,3,7,5] => [2,4,6,7,5,1,3] => [3,7,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,5,3,7] => [2,4,6,7,3,5,1] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,2,1,5,7,3] => [2,4,6,7,3,1,5] => [5,7,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,2,1,7,3,5] => [2,4,6,7,1,5,3] => [5,3,7,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,2,1,7,5,3] => [2,4,6,7,1,3,5] => [3,5,7,1,2,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,3,1,5,7] => [2,4,6,5,7,3,1] => [7,3,1,2,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,1,7,5] => [2,4,6,5,7,1,3] => [3,7,1,2,4,6,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,2,3,5,1,7] => [2,4,6,5,3,7,1] => [7,1,2,6,5,3,4] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,5,7,1] => [2,4,6,5,3,1,7] => [6,5,3,1,2,4,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,7,1,5] => [2,4,6,5,1,7,3] => [7,3,6,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,7,5,1] => [2,4,6,5,1,3,7] => [3,6,5,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,5,1,3,7] => [2,4,6,3,7,5,1] => [7,5,1,2,6,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,5,1,7,3] => [2,4,6,3,7,1,5] => [5,7,1,2,6,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,2,5,3,1,7] => [2,4,6,3,5,7,1] => [7,1,2,5,6,3,4] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,2,5,3,7,1] => [2,4,6,3,5,1,7] => [5,1,2,6,3,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,5,7,1,3] => [2,4,6,3,1,7,5] => [7,5,6,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,2,5,7,3,1] => [2,4,6,3,1,5,7] => [5,6,3,1,2,4,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,2,7,1,3,5] => [2,4,6,1,7,5,3] => [7,5,3,6,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,2,7,1,5,3] => [2,4,6,1,7,3,5] => [5,7,3,6,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,4,2,7,3,1,5] => [2,4,6,1,5,7,3] => [7,3,5,6,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,2,7,3,5,1] => [2,4,6,1,5,3,7] => [5,3,6,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,2,7,5,1,3] => [2,4,6,1,3,7,5] => [3,7,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,2,7,5,3,1] => [2,4,6,1,3,5,7] => [3,5,6,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,1,2,5,7] => [2,4,5,7,6,3,1] => [7,6,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,2,7,5] => [2,4,5,7,6,1,3] => [3,7,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,5,2,7] => [2,4,5,7,3,6,1] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,1,5,7,2] => [2,4,5,7,3,1,6] => [6,7,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,1,7,2,5] => [2,4,5,7,1,6,3] => [6,3,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,1,7,5,2] => [2,4,5,7,1,3,6] => [3,6,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,2,1,5,7] => [2,4,5,6,7,3,1] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,1,7,5] => [2,4,5,6,7,1,3] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,2,5,1,7] => [2,4,5,6,3,7,1] => [7,1,2,6,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,5,7,1] => [2,4,5,6,3,1,7] => [6,3,1,2,4,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,7,1,5] => [2,4,5,6,1,7,3] => [7,3,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,7,5,1] => [2,4,5,6,1,3,7] => [3,6,1,2,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,3,5,1,2,7] => [2,4,5,3,7,6,1] => [7,6,1,2,5,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,1,7,2] => [2,4,5,3,7,1,6] => [6,7,1,2,5,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,5,2,1,7] => [2,4,5,3,6,7,1] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,2,7,1] => [2,4,5,3,6,1,7] => [6,1,2,5,3,4,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,7,1,2] => [2,4,5,3,1,7,6] => [5,3,1,2,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,7,2,1] => [2,4,5,3,1,6,7] => [5,3,1,2,4,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,7,1,2,5] => [2,4,5,1,7,6,3] => [7,6,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,7,1,5,2] => [2,4,5,1,7,3,6] => [6,7,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,3,7,2,1,5] => [2,4,5,1,6,7,3] => [7,3,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,7,2,5,1] => [2,4,5,1,6,3,7] => [6,3,5,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,7,5,1,2] => [2,4,5,1,3,7,6] => [3,5,1,2,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,7,5,2,1] => [2,4,5,1,3,6,7] => [3,5,1,2,4,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,5,1,2,3,7] => [2,4,3,7,6,5,1] => [7,6,5,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,1,2,7,3] => [2,4,3,7,6,1,5] => [5,7,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,4,5,1,3,2,7] => [2,4,3,7,5,6,1] => [6,1,2,4,3,7,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,1,3,7,2] => [2,4,3,7,5,1,6] => [6,7,5,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,5,1,7,2,3] => [2,4,3,7,1,6,5] => [6,5,7,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,4,5,1,7,3,2] => [2,4,3,7,1,5,6] => [5,6,7,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,4,5,2,1,3,7] => [2,4,3,6,7,5,1] => [7,5,1,2,4,3,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,2,1,7,3] => [2,4,3,6,7,1,5] => [5,7,1,2,4,3,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,5,2,3,1,7] => [2,4,3,6,5,7,1] => [7,1,2,4,3,6,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,4,5,2,3,7,1] => [2,4,3,6,5,1,7] => [6,5,1,2,4,3,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,2,7,1,3] => [2,4,3,6,1,7,5] => [7,5,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,5,2,7,3,1] => [2,4,3,6,1,5,7] => [5,6,1,2,4,3,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,5,3,1,2,7] => [2,4,3,5,7,6,1] => [7,6,1,2,4,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,3,1,7,2] => [2,4,3,5,7,1,6] => [6,7,1,2,4,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,5,3,2,1,7] => [2,4,3,5,6,7,1] => [7,1,2,4,3,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,3,2,7,1] => [2,4,3,5,6,1,7] => [6,1,2,4,3,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,3,7,1,2] => [2,4,3,5,1,7,6] => [5,1,2,4,3,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,3,7,2,1] => [2,4,3,5,1,6,7] => [5,1,2,4,3,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,7,1,2,3] => [2,4,3,1,7,6,5] => [4,3,1,2,7,6,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,7,1,3,2] => [2,4,3,1,7,5,6] => [4,3,1,2,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[6,4,5,7,2,1,3] => [2,4,3,1,6,7,5] => [4,3,1,2,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[6,4,5,7,2,3,1] => [2,4,3,1,6,5,7] => [4,3,1,2,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,7,3,1,2] => [2,4,3,1,5,7,6] => [4,3,1,2,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,7,3,2,1] => [2,4,3,1,5,6,7] => [4,3,1,2,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,1,2,3,5] => [2,4,1,7,6,5,3] => [7,6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,1,2,5,3] => [2,4,1,7,6,3,5] => [5,7,6,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,7,1,3,2,5] => [2,4,1,7,5,6,3] => [6,3,4,1,2,7,5] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,7,1,3,5,2] => [2,4,1,7,5,3,6] => [6,7,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,7,1,5,2,3] => [2,4,1,7,3,6,5] => [6,5,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,7,1,5,3,2] => [2,4,1,7,3,5,6] => [5,6,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,7,2,1,3,5] => [2,4,1,6,7,5,3] => [7,5,3,4,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,2,1,5,3] => [2,4,1,6,7,3,5] => [5,7,3,4,1,2,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,7,2,3,1,5] => [2,4,1,6,5,7,3] => [7,3,4,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,7,2,3,5,1] => [2,4,1,6,5,3,7] => [6,5,3,4,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,2,5,1,3] => [2,4,1,6,3,7,5] => [7,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,7,2,5,3,1] => [2,4,1,6,3,5,7] => [5,6,3,4,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,7,3,1,2,5] => [2,4,1,5,7,6,3] => [7,6,3,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,3,1,5,2] => [2,4,1,5,7,3,6] => [6,7,3,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,7,3,2,1,5] => [2,4,1,5,6,7,3] => [7,3,4,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,7,3,2,5,1] => [2,4,1,5,6,3,7] => [6,3,4,1,2,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,7,3,5,1,2] => [2,4,1,5,3,7,6] => [5,3,4,1,2,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,7,3,5,2,1] => [2,4,1,5,3,6,7] => [5,3,4,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,7,5,1,2,3] => [2,4,1,3,7,6,5] => [3,4,1,2,7,6,5] => ([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
[6,4,7,5,1,3,2] => [2,4,1,3,7,5,6] => [3,4,1,2,6,7,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[6,4,7,5,2,1,3] => [2,4,1,3,6,7,5] => [3,4,1,2,7,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[6,4,7,5,2,3,1] => [2,4,1,3,6,5,7] => [3,4,1,2,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,7,5,3,1,2] => [2,4,1,3,5,7,6] => [3,4,1,2,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,7,5,3,2,1] => [2,4,1,3,5,6,7] => [3,4,1,2,5,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[6,5,1,2,3,4,7] => [2,3,7,6,5,4,1] => [7,6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,2,3,7,4] => [2,3,7,6,5,1,4] => [4,7,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,2,4,3,7] => [2,3,7,6,4,5,1] => [5,1,2,3,7,6,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[6,5,1,2,4,7,3] => [2,3,7,6,4,1,5] => [5,7,6,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,2,7,3,4] => [2,3,7,6,1,5,4] => [5,4,7,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,5,1,2,7,4,3] => [2,3,7,6,1,4,5] => [4,5,7,6,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,5,1,3,2,4,7] => [2,3,7,5,6,4,1] => [6,4,1,2,3,7,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[6,5,1,3,2,7,4] => [2,3,7,5,6,1,4] => [4,6,1,2,3,7,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[6,5,1,3,4,2,7] => [2,3,7,5,4,6,1] => [6,1,2,3,7,5,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,5,1,3,4,7,2] => [2,3,7,5,4,1,6] => [6,7,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,3,7,2,4] => [2,3,7,5,1,6,4] => [6,4,7,5,1,2,3] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,3,7,4,2] => [2,3,7,5,1,4,6] => [4,6,7,5,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,1,4,2,3,7] => [2,3,7,4,6,5,1] => [6,5,1,2,3,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,4,2,7,3] => [2,3,7,4,6,1,5] => [5,6,1,2,3,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,1,4,3,2,7] => [2,3,7,4,5,6,1] => [6,1,2,3,5,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,5,1,4,3,7,2] => [2,3,7,4,5,1,6] => [5,1,2,3,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[6,5,1,4,7,2,3] => [2,3,7,4,1,6,5] => [6,5,7,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,4,7,3,2] => [2,3,7,4,1,5,6] => [5,6,7,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,1,7,2,3,4] => [2,3,7,1,6,5,4] => [6,5,4,7,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,7,2,4,3] => [2,3,7,1,6,4,5] => [5,6,4,7,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,1,7,3,2,4] => [2,3,7,1,5,6,4] => [6,4,5,7,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,1,7,3,4,2] => [2,3,7,1,5,4,6] => [5,4,6,7,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,5,1,7,4,2,3] => [2,3,7,1,4,6,5] => [4,6,5,7,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,5,1,7,4,3,2] => [2,3,7,1,4,5,6] => [4,5,6,7,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,5,2,1,3,4,7] => [2,3,6,7,5,4,1] => [7,5,4,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,3,7,4] => [2,3,6,7,5,1,4] => [4,7,5,1,2,3,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,4,3,7] => [2,3,6,7,4,5,1] => [5,1,2,3,7,4,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[6,5,2,1,4,7,3] => [2,3,6,7,4,1,5] => [5,7,4,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,5,2,1,7,3,4] => [2,3,6,7,1,5,4] => [5,4,7,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[6,5,2,1,7,4,3] => [2,3,6,7,1,4,5] => [4,5,7,1,2,3,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[6,5,2,3,1,4,7] => [2,3,6,5,7,4,1] => [7,4,1,2,3,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,3,1,7,4] => [2,3,6,5,7,1,4] => [4,7,1,2,3,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,2,3,4,1,7] => [2,3,6,5,4,7,1] => [7,1,2,3,6,5,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,3,4,7,1] => [2,3,6,5,4,1,7] => [6,5,4,1,2,3,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,3,7,1,4] => [2,3,6,5,1,7,4] => [7,4,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,3,7,4,1] => [2,3,6,5,1,4,7] => [4,6,5,1,2,3,7] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,1,3,7] => [2,3,6,4,7,5,1] => [7,5,1,2,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,1,7,3] => [2,3,6,4,7,1,5] => [5,7,1,2,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)
[6,5,2,4,3,1,7] => [2,3,6,4,5,7,1] => [7,1,2,3,5,6,4] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,3,7,1] => [2,3,6,4,5,1,7] => [5,1,2,3,6,4,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,5,2,4,7,1,3] => [2,3,6,4,1,7,5] => [7,5,6,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,7,3,1] => [2,3,6,4,1,5,7] => [5,6,4,1,2,3,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,5,2,7,1,3,4] => [2,3,6,1,7,5,4] => [7,5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,7,1,4,3] => [2,3,6,1,7,4,5] => [5,7,4,6,1,2,3] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,7,3,1,4] => [2,3,6,1,5,7,4] => [7,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,2,7,3,4,1] => [2,3,6,1,5,4,7] => [5,4,6,1,2,3,7] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,7,4,1,3] => [2,3,6,1,4,7,5] => [4,7,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,2,7,4,3,1] => [2,3,6,1,4,5,7] => [4,5,6,1,2,3,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,5,3,1,2,4,7] => [2,3,5,7,6,4,1] => [7,6,4,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,2,7,4] => [2,3,5,7,6,1,4] => [4,7,6,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,4,2,7] => [2,3,5,7,4,6,1] => [6,1,2,3,7,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,1,4,7,2] => [2,3,5,7,4,1,6] => [6,7,4,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,1,7,2,4] => [2,3,5,7,1,6,4] => [6,4,7,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[6,5,3,1,7,4,2] => [2,3,5,7,1,4,6] => [4,6,7,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,2,1,4,7] => [2,3,5,6,7,4,1] => [7,4,1,2,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,1,7,4] => [2,3,5,6,7,1,4] => [4,7,1,2,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,2,4,1,7] => [2,3,5,6,4,7,1] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,4,7,1] => [2,3,5,6,4,1,7] => [6,4,1,2,3,5,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,7,1,4] => [2,3,5,6,1,7,4] => [7,4,6,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,5,3,2,7,4,1] => [2,3,5,6,1,4,7] => [4,6,1,2,3,5,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,4,1,2,7] => [2,3,5,4,7,6,1] => [7,6,1,2,3,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,4,1,7,2] => [2,3,5,4,7,1,6] => [6,7,1,2,3,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,4,2,1,7] => [2,3,5,4,6,7,1] => [7,1,2,3,5,4,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,4,2,7,1] => [2,3,5,4,6,1,7] => [6,1,2,3,5,4,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,4,7,1,2] => [2,3,5,4,1,7,6] => [5,4,1,2,3,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,4,7,2,1] => [2,3,5,4,1,6,7] => [5,4,1,2,3,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,7,1,2,4] => [2,3,5,1,7,6,4] => [7,6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,7,1,4,2] => [2,3,5,1,7,4,6] => [6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,7,2,1,4] => [2,3,5,1,6,7,4] => [7,4,5,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,5,3,7,2,4,1] => [2,3,5,1,6,4,7] => [6,4,5,1,2,3,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,5,3,7,4,1,2] => [2,3,5,1,4,7,6] => [4,5,1,2,3,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,7,4,2,1] => [2,3,5,1,4,6,7] => [4,5,1,2,3,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,4,1,2,3,7] => [2,3,4,7,6,5,1] => [7,6,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,1,2,7,3] => [2,3,4,7,6,1,5] => [5,7,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,5,4,1,3,2,7] => [2,3,4,7,5,6,1] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[6,5,4,1,3,7,2] => [2,3,4,7,5,1,6] => [6,7,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,5,4,1,7,2,3] => [2,3,4,7,1,6,5] => [6,5,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,5,4,1,7,3,2] => [2,3,4,7,1,5,6] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,5,4,2,1,3,7] => [2,3,4,6,7,5,1] => [7,5,1,2,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,2,1,7,3] => [2,3,4,6,7,1,5] => [5,7,1,2,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,4,2,3,1,7] => [2,3,4,6,5,7,1] => [7,1,2,3,4,6,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,2,3,7,1] => [2,3,4,6,5,1,7] => [6,5,1,2,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,2,7,1,3] => [2,3,4,6,1,7,5] => [7,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,5,4,2,7,3,1] => [2,3,4,6,1,5,7] => [5,6,1,2,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,4,3,1,2,7] => [2,3,4,5,7,6,1] => [7,6,1,2,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,3,1,7,2] => [2,3,4,5,7,1,6] => [6,7,1,2,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,4,3,2,1,7] => [2,3,4,5,6,7,1] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,2,7,1] => [2,3,4,5,6,1,7] => [6,1,2,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,7,1,2] => [2,3,4,5,1,7,6] => [5,1,2,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,7,2,1] => [2,3,4,5,1,6,7] => [5,1,2,3,4,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,7,1,2,3] => [2,3,4,1,7,6,5] => [4,1,2,3,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[6,5,4,7,1,3,2] => [2,3,4,1,7,5,6] => [4,1,2,3,6,7,5] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[6,5,4,7,2,1,3] => [2,3,4,1,6,7,5] => [4,1,2,3,7,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[6,5,4,7,2,3,1] => [2,3,4,1,6,5,7] => [4,1,2,3,6,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,5,4,7,3,1,2] => [2,3,4,1,5,7,6] => [4,1,2,3,5,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,5,4,7,3,2,1] => [2,3,4,1,5,6,7] => [4,1,2,3,5,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,5,7,1,2,3,4] => [2,3,1,7,6,5,4] => [3,1,2,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,1,2,4,3] => [2,3,1,7,6,4,5] => [3,1,2,5,7,6,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[6,5,7,1,3,2,4] => [2,3,1,7,5,6,4] => [3,1,2,6,4,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[6,5,7,1,3,4,2] => [2,3,1,7,5,4,6] => [3,1,2,6,7,5,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[6,5,7,1,4,2,3] => [2,3,1,7,4,6,5] => [3,1,2,6,5,7,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[6,5,7,1,4,3,2] => [2,3,1,7,4,5,6] => [3,1,2,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,2,1,3,4] => [2,3,1,6,7,5,4] => [3,1,2,7,5,4,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[6,5,7,2,1,4,3] => [2,3,1,6,7,4,5] => [3,1,2,5,7,4,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[6,5,7,2,3,1,4] => [2,3,1,6,5,7,4] => [3,1,2,7,4,6,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[6,5,7,2,3,4,1] => [2,3,1,6,5,4,7] => [3,1,2,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[6,5,7,2,4,1,3] => [2,3,1,6,4,7,5] => [3,1,2,7,5,6,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[6,5,7,2,4,3,1] => [2,3,1,6,4,5,7] => [3,1,2,5,6,4,7] => ([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,3,1,2,4] => [2,3,1,5,7,6,4] => [3,1,2,7,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[6,5,7,3,1,4,2] => [2,3,1,5,7,4,6] => [3,1,2,6,7,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[6,5,7,3,2,1,4] => [2,3,1,5,6,7,4] => [3,1,2,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,3,2,4,1] => [2,3,1,5,6,4,7] => [3,1,2,6,4,5,7] => ([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,3,4,1,2] => [2,3,1,5,4,7,6] => [3,1,2,5,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7)
[6,5,7,3,4,2,1] => [2,3,1,5,4,6,7] => [3,1,2,5,4,6,7] => ([(2,3),(4,6),(5,6)],7)
[6,5,7,4,1,2,3] => [2,3,1,4,7,6,5] => [3,1,2,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[6,5,7,4,1,3,2] => [2,3,1,4,7,5,6] => [3,1,2,4,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,4,2,1,3] => [2,3,1,4,6,7,5] => [3,1,2,4,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,7,4,2,3,1] => [2,3,1,4,6,5,7] => [3,1,2,4,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[6,5,7,4,3,1,2] => [2,3,1,4,5,7,6] => [3,1,2,4,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,5,7,4,3,2,1] => [2,3,1,4,5,6,7] => [3,1,2,4,5,6,7] => ([(4,6),(5,6)],7)
[6,7,1,2,3,4,5] => [2,1,7,6,5,4,3] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,2,3,5,4] => [2,1,7,6,5,3,4] => [2,1,4,7,6,5,3] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,2,4,3,5] => [2,1,7,6,4,5,3] => [2,1,5,3,7,6,4] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,2,4,5,3] => [2,1,7,6,4,3,5] => [2,1,5,7,6,4,3] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,2,5,3,4] => [2,1,7,6,3,5,4] => [2,1,5,4,7,6,3] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,7,1,2,5,4,3] => [2,1,7,6,3,4,5] => [2,1,4,5,7,6,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,3,2,4,5] => [2,1,7,5,6,4,3] => [2,1,6,4,3,7,5] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,3,2,5,4] => [2,1,7,5,6,3,4] => [2,1,4,6,3,7,5] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,1,3,4,2,5] => [2,1,7,5,4,6,3] => [2,1,6,3,7,5,4] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,3,4,5,2] => [2,1,7,5,4,3,6] => [2,1,6,7,5,4,3] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,3,5,2,4] => [2,1,7,5,3,6,4] => [2,1,6,4,7,5,3] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,3,5,4,2] => [2,1,7,5,3,4,6] => [2,1,4,6,7,5,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,4,2,3,5] => [2,1,7,4,6,5,3] => [2,1,6,5,3,7,4] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,4,2,5,3] => [2,1,7,4,6,3,5] => [2,1,5,6,3,7,4] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,4,3,2,5] => [2,1,7,4,5,6,3] => [2,1,6,3,5,7,4] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,7,1,4,3,5,2] => [2,1,7,4,5,3,6] => [2,1,5,3,6,7,4] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,1,4,5,2,3] => [2,1,7,4,3,6,5] => [2,1,6,5,7,4,3] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,4,5,3,2] => [2,1,7,4,3,5,6] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,5,2,3,4] => [2,1,7,3,6,5,4] => [2,1,6,5,4,7,3] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,5,2,4,3] => [2,1,7,3,6,4,5] => [2,1,5,6,4,7,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,5,3,2,4] => [2,1,7,3,5,6,4] => [2,1,6,4,5,7,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,5,3,4,2] => [2,1,7,3,5,4,6] => [2,1,5,4,6,7,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,5,4,2,3] => [2,1,7,3,4,6,5] => [2,1,4,6,5,7,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,5,4,3,2] => [2,1,7,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,2,1,3,4,5] => [2,1,6,7,5,4,3] => [2,1,7,5,4,3,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,1,3,5,4] => [2,1,6,7,5,3,4] => [2,1,4,7,5,3,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,7,2,1,4,3,5] => [2,1,6,7,4,5,3] => [2,1,5,3,7,4,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,2,1,4,5,3] => [2,1,6,7,4,3,5] => [2,1,5,7,4,3,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,1,5,3,4] => [2,1,6,7,3,5,4] => [2,1,5,4,7,3,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,1,5,4,3] => [2,1,6,7,3,4,5] => [2,1,4,5,7,3,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,2,3,1,4,5] => [2,1,6,5,7,4,3] => [2,1,7,4,3,6,5] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,7,2,3,1,5,4] => [2,1,6,5,7,3,4] => [2,1,4,7,3,6,5] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,3,4,1,5] => [2,1,6,5,4,7,3] => [2,1,7,3,6,5,4] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,3,4,5,1] => [2,1,6,5,4,3,7] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,3,5,1,4] => [2,1,6,5,3,7,4] => [2,1,7,4,6,5,3] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,3,5,4,1] => [2,1,6,5,3,4,7] => [2,1,4,6,5,3,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,4,1,3,5] => [2,1,6,4,7,5,3] => [2,1,7,5,3,6,4] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,4,1,5,3] => [2,1,6,4,7,3,5] => [2,1,5,7,3,6,4] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,7,2,4,3,1,5] => [2,1,6,4,5,7,3] => [2,1,7,3,5,6,4] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,4,3,5,1] => [2,1,6,4,5,3,7] => [2,1,5,3,6,4,7] => ([(1,2),(3,6),(4,5),(5,6)],7)
[6,7,2,4,5,1,3] => [2,1,6,4,3,7,5] => [2,1,7,5,6,4,3] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,4,5,3,1] => [2,1,6,4,3,5,7] => [2,1,5,6,4,3,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,5,1,3,4] => [2,1,6,3,7,5,4] => [2,1,7,5,4,6,3] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,5,1,4,3] => [2,1,6,3,7,4,5] => [2,1,5,7,4,6,3] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,5,3,1,4] => [2,1,6,3,5,7,4] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,5,3,4,1] => [2,1,6,3,5,4,7] => [2,1,5,4,6,3,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,5,4,1,3] => [2,1,6,3,4,7,5] => [2,1,4,7,5,6,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,5,4,3,1] => [2,1,6,3,4,5,7] => [2,1,4,5,6,3,7] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,3,1,2,4,5] => [2,1,5,7,6,4,3] => [2,1,7,6,4,3,5] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,1,2,5,4] => [2,1,5,7,6,3,4] => [2,1,4,7,6,3,5] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,1,4,2,5] => [2,1,5,7,4,6,3] => [2,1,6,3,7,4,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,1,4,5,2] => [2,1,5,7,4,3,6] => [2,1,6,7,4,3,5] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,1,5,2,4] => [2,1,5,7,3,6,4] => [2,1,6,4,7,3,5] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,7,3,1,5,4,2] => [2,1,5,7,3,4,6] => [2,1,4,6,7,3,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,1,4,5] => [2,1,5,6,7,4,3] => [2,1,7,4,3,5,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,2,1,5,4] => [2,1,5,6,7,3,4] => [2,1,4,7,3,5,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,3,2,4,1,5] => [2,1,5,6,4,7,3] => [2,1,7,3,6,4,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,2,4,5,1] => [2,1,5,6,4,3,7] => [2,1,6,4,3,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,2,5,1,4] => [2,1,5,6,3,7,4] => [2,1,7,4,6,3,5] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,2,5,4,1] => [2,1,5,6,3,4,7] => [2,1,4,6,3,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7)
[6,7,3,4,1,2,5] => [2,1,5,4,7,6,3] => [2,1,7,6,3,5,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,4,1,5,2] => [2,1,5,4,7,3,6] => [2,1,6,7,3,5,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,4,2,1,5] => [2,1,5,4,6,7,3] => [2,1,7,3,5,4,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,4,2,5,1] => [2,1,5,4,6,3,7] => [2,1,6,3,5,4,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,4,5,1,2] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7)
[6,7,3,4,5,2,1] => [2,1,5,4,3,6,7] => [2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[6,7,3,5,1,2,4] => [2,1,5,3,7,6,4] => [2,1,7,6,4,5,3] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,5,1,4,2] => [2,1,5,3,7,4,6] => [2,1,6,7,4,5,3] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,3,5,2,1,4] => [2,1,5,3,6,7,4] => [2,1,7,4,5,3,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,5,2,4,1] => [2,1,5,3,6,4,7] => [2,1,6,4,5,3,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,5,4,1,2] => [2,1,5,3,4,7,6] => [2,1,4,5,3,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7)
[6,7,3,5,4,2,1] => [2,1,5,3,4,6,7] => [2,1,4,5,3,6,7] => ([(2,3),(4,6),(5,6)],7)
[6,7,4,1,2,3,5] => [2,1,4,7,6,5,3] => [2,1,7,6,5,3,4] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,4,1,2,5,3] => [2,1,4,7,6,3,5] => [2,1,5,7,6,3,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,1,3,2,5] => [2,1,4,7,5,6,3] => [2,1,6,3,4,7,5] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,7,4,1,3,5,2] => [2,1,4,7,5,3,6] => [2,1,6,7,5,3,4] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,4,1,5,2,3] => [2,1,4,7,3,6,5] => [2,1,6,5,7,3,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,1,5,3,2] => [2,1,4,7,3,5,6] => [2,1,5,6,7,3,4] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,2,1,3,5] => [2,1,4,6,7,5,3] => [2,1,7,5,3,4,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,4,2,1,5,3] => [2,1,4,6,7,3,5] => [2,1,5,7,3,4,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,2,3,1,5] => [2,1,4,6,5,7,3] => [2,1,7,3,4,6,5] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,4,2,3,5,1] => [2,1,4,6,5,3,7] => [2,1,6,5,3,4,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,4,2,5,1,3] => [2,1,4,6,3,7,5] => [2,1,7,5,6,3,4] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,4,2,5,3,1] => [2,1,4,6,3,5,7] => [2,1,5,6,3,4,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,3,1,2,5] => [2,1,4,5,7,6,3] => [2,1,7,6,3,4,5] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,4,3,1,5,2] => [2,1,4,5,7,3,6] => [2,1,6,7,3,4,5] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,3,2,1,5] => [2,1,4,5,6,7,3] => [2,1,7,3,4,5,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,7,4,3,2,5,1] => [2,1,4,5,6,3,7] => [2,1,6,3,4,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,4,3,5,1,2] => [2,1,4,5,3,7,6] => [2,1,5,3,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7)
[6,7,4,3,5,2,1] => [2,1,4,5,3,6,7] => [2,1,5,3,4,6,7] => ([(2,3),(4,6),(5,6)],7)
[6,7,4,5,1,2,3] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7)
[6,7,4,5,1,3,2] => [2,1,4,3,7,5,6] => [2,1,4,3,6,7,5] => ([(0,3),(1,2),(4,6),(5,6)],7)
[6,7,4,5,2,1,3] => [2,1,4,3,6,7,5] => [2,1,4,3,7,5,6] => ([(0,3),(1,2),(4,6),(5,6)],7)
[6,7,4,5,2,3,1] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7)
[6,7,4,5,3,1,2] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7)
[6,7,4,5,3,2,1] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => ([(3,6),(4,5)],7)
[6,7,5,1,2,3,4] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,1,2,4,3] => [2,1,3,7,6,4,5] => [2,1,3,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,1,3,2,4] => [2,1,3,7,5,6,4] => [2,1,3,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7)
[6,7,5,1,3,4,2] => [2,1,3,7,5,4,6] => [2,1,3,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,1,4,2,3] => [2,1,3,7,4,6,5] => [2,1,3,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,1,4,3,2] => [2,1,3,7,4,5,6] => [2,1,3,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,5,2,1,3,4] => [2,1,3,6,7,5,4] => [2,1,3,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,2,1,4,3] => [2,1,3,6,7,4,5] => [2,1,3,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[6,7,5,2,3,1,4] => [2,1,3,6,5,7,4] => [2,1,3,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,2,3,4,1] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[6,7,5,2,4,1,3] => [2,1,3,6,4,7,5] => [2,1,3,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,2,4,3,1] => [2,1,3,6,4,5,7] => [2,1,3,5,6,4,7] => ([(2,3),(4,6),(5,6)],7)
[6,7,5,3,1,2,4] => [2,1,3,5,7,6,4] => [2,1,3,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,3,1,4,2] => [2,1,3,5,7,4,6] => [2,1,3,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,5,3,2,1,4] => [2,1,3,5,6,7,4] => [2,1,3,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,7,5,3,2,4,1] => [2,1,3,5,6,4,7] => [2,1,3,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[6,7,5,3,4,1,2] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7)
[6,7,5,3,4,2,1] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7)
[6,7,5,4,1,2,3] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[6,7,5,4,1,3,2] => [2,1,3,4,7,5,6] => [2,1,3,4,6,7,5] => ([(2,3),(4,6),(5,6)],7)
[6,7,5,4,2,1,3] => [2,1,3,4,6,7,5] => [2,1,3,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[6,7,5,4,2,3,1] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7)
[6,7,5,4,3,1,2] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7)
[6,7,5,4,3,2,1] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => ([(5,6)],7)
[7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,3,4,6,5] => [1,7,6,5,4,2,3] => [1,3,7,6,5,4,2] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,3,5,4,6] => [1,7,6,5,3,4,2] => [1,4,2,7,6,5,3] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,3,5,6,4] => [1,7,6,5,3,2,4] => [1,4,7,6,5,3,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,3,6,4,5] => [1,7,6,5,2,4,3] => [1,4,3,7,6,5,2] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,3,6,5,4] => [1,7,6,5,2,3,4] => [1,3,4,7,6,5,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,4,3,5,6] => [1,7,6,4,5,3,2] => [1,5,3,2,7,6,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[7,1,2,4,3,6,5] => [1,7,6,4,5,2,3] => [1,3,5,2,7,6,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[7,1,2,4,5,3,6] => [1,7,6,4,3,5,2] => [1,5,2,7,6,4,3] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,4,5,6,3] => [1,7,6,4,3,2,5] => [1,5,7,6,4,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,4,6,3,5] => [1,7,6,4,2,5,3] => [1,5,3,7,6,4,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,4,6,5,3] => [1,7,6,4,2,3,5] => [1,3,5,7,6,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,5,3,4,6] => [1,7,6,3,5,4,2] => [1,5,4,2,7,6,3] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,1,2,5,3,6,4] => [1,7,6,3,5,2,4] => [1,4,5,2,7,6,3] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,5,4,3,6] => [1,7,6,3,4,5,2] => [1,5,2,4,7,6,3] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,5,4,6,3] => [1,7,6,3,4,2,5] => [1,4,2,5,7,6,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,1,2,5,6,3,4] => [1,7,6,3,2,5,4] => [1,5,4,7,6,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,5,6,4,3] => [1,7,6,3,2,4,5] => [1,4,5,7,6,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,3,4,5] => [1,7,6,2,5,4,3] => [1,5,4,3,7,6,2] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,3,5,4] => [1,7,6,2,5,3,4] => [1,4,5,3,7,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,4,3,5] => [1,7,6,2,4,5,3] => [1,5,3,4,7,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,4,5,3] => [1,7,6,2,4,3,5] => [1,4,3,5,7,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,1,2,6,5,3,4] => [1,7,6,2,3,5,4] => [1,3,5,4,7,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,1,2,6,5,4,3] => [1,7,6,2,3,4,5] => [1,3,4,5,7,6,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,2,4,5,6] => [1,7,5,6,4,3,2] => [1,6,4,3,2,7,5] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,2,4,6,5] => [1,7,5,6,4,2,3] => [1,3,6,4,2,7,5] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,2,5,4,6] => [1,7,5,6,3,4,2] => [1,4,2,6,3,7,5] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[7,1,3,2,5,6,4] => [1,7,5,6,3,2,4] => [1,4,6,3,2,7,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[7,1,3,2,6,4,5] => [1,7,5,6,2,4,3] => [1,4,3,6,2,7,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[7,1,3,2,6,5,4] => [1,7,5,6,2,3,4] => [1,3,4,6,2,7,5] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,1,3,4,2,5,6] => [1,7,5,4,6,3,2] => [1,6,3,2,7,5,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,1,3,4,2,6,5] => [1,7,5,4,6,2,3] => [1,3,6,2,7,5,4] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[7,1,3,4,5,2,6] => [1,7,5,4,3,6,2] => [1,6,2,7,5,4,3] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,5,6,2] => [1,7,5,4,3,2,6] => [1,6,7,5,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,6,2,5] => [1,7,5,4,2,6,3] => [1,6,3,7,5,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,6,5,2] => [1,7,5,4,2,3,6] => [1,3,6,7,5,4,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,2,4,6] => [1,7,5,3,6,4,2] => [1,6,4,2,7,5,3] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,2,6,4] => [1,7,5,3,6,2,4] => [1,4,6,2,7,5,3] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,4,2,6] => [1,7,5,3,4,6,2] => [1,6,2,4,7,5,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,1,3,5,4,6,2] => [1,7,5,3,4,2,6] => [1,4,2,6,7,5,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,3,5,6,2,4] => [1,7,5,3,2,6,4] => [1,6,4,7,5,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,6,4,2] => [1,7,5,3,2,4,6] => [1,4,6,7,5,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,2,4,5] => [1,7,5,2,6,4,3] => [1,6,4,3,7,5,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,2,5,4] => [1,7,5,2,6,3,4] => [1,4,6,3,7,5,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,3,6,4,2,5] => [1,7,5,2,4,6,3] => [1,6,3,4,7,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,4,5,2] => [1,7,5,2,4,3,6] => [1,4,3,6,7,5,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,5,2,4] => [1,7,5,2,3,6,4] => [1,3,6,4,7,5,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,5,4,2] => [1,7,5,2,3,4,6] => [1,3,4,6,7,5,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,2,3,5,6] => [1,7,4,6,5,3,2] => [1,6,5,3,2,7,4] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,2,3,6,5] => [1,7,4,6,5,2,3] => [1,3,6,5,2,7,4] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,4,2,5,3,6] => [1,7,4,6,3,5,2] => [1,5,2,6,3,7,4] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,4,2,5,6,3] => [1,7,4,6,3,2,5] => [1,5,6,3,2,7,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,4,2,6,3,5] => [1,7,4,6,2,5,3] => [1,5,3,6,2,7,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,4,2,6,5,3] => [1,7,4,6,2,3,5] => [1,3,5,6,2,7,4] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,4,3,2,5,6] => [1,7,4,5,6,3,2] => [1,6,3,2,5,7,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,3,2,6,5] => [1,7,4,5,6,2,3] => [1,3,6,2,5,7,4] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,3,5,2,6] => [1,7,4,5,3,6,2] => [1,6,2,5,3,7,4] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,3,5,6,2] => [1,7,4,5,3,2,6] => [1,5,3,2,6,7,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[7,1,4,3,6,2,5] => [1,7,4,5,2,6,3] => [1,6,3,5,2,7,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,4,3,6,5,2] => [1,7,4,5,2,3,6] => [1,3,5,2,6,7,4] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,1,4,5,2,3,6] => [1,7,4,3,6,5,2] => [1,6,5,2,7,4,3] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,2,6,3] => [1,7,4,3,6,2,5] => [1,5,6,2,7,4,3] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,3,2,6] => [1,7,4,3,5,6,2] => [1,6,2,5,7,4,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,3,6,2] => [1,7,4,3,5,2,6] => [1,5,2,6,7,4,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,6,2,3] => [1,7,4,3,2,6,5] => [1,6,5,7,4,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,6,3,2] => [1,7,4,3,2,5,6] => [1,5,6,7,4,3,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,2,3,5] => [1,7,4,2,6,5,3] => [1,6,5,3,7,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,2,5,3] => [1,7,4,2,6,3,5] => [1,5,6,3,7,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,3,2,5] => [1,7,4,2,5,6,3] => [1,6,3,5,7,4,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,3,5,2] => [1,7,4,2,5,3,6] => [1,5,3,6,7,4,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,5,2,3] => [1,7,4,2,3,6,5] => [1,3,6,5,7,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,5,3,2] => [1,7,4,2,3,5,6] => [1,3,5,6,7,4,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,3,4,6] => [1,7,3,6,5,4,2] => [1,6,5,4,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,3,6,4] => [1,7,3,6,5,2,4] => [1,4,6,5,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,2,4,3,6] => [1,7,3,6,4,5,2] => [1,5,2,6,4,7,3] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,4,6,3] => [1,7,3,6,4,2,5] => [1,5,6,4,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,6,3,4] => [1,7,3,6,2,5,4] => [1,5,4,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,2,6,4,3] => [1,7,3,6,2,4,5] => [1,4,5,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,3,2,4,6] => [1,7,3,5,6,4,2] => [1,6,4,2,5,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,1,5,3,2,6,4] => [1,7,3,5,6,2,4] => [1,4,6,2,5,7,3] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,1,5,3,4,2,6] => [1,7,3,5,4,6,2] => [1,6,2,5,4,7,3] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,3,4,6,2] => [1,7,3,5,4,2,6] => [1,5,4,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,1,5,3,6,2,4] => [1,7,3,5,2,6,4] => [1,6,4,5,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,3,6,4,2] => [1,7,3,5,2,4,6] => [1,4,5,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,5,4,2,3,6] => [1,7,3,4,6,5,2] => [1,6,5,2,4,7,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,4,2,6,3] => [1,7,3,4,6,2,5] => [1,5,6,2,4,7,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,5,4,3,2,6] => [1,7,3,4,5,6,2] => [1,6,2,4,5,7,3] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,4,3,6,2] => [1,7,3,4,5,2,6] => [1,5,2,4,6,7,3] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,1,5,4,6,2,3] => [1,7,3,4,2,6,5] => [1,4,2,6,5,7,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,1,5,4,6,3,2] => [1,7,3,4,2,5,6] => [1,4,2,5,6,7,3] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,1,5,6,2,3,4] => [1,7,3,2,6,5,4] => [1,6,5,4,7,3,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,2,4,3] => [1,7,3,2,6,4,5] => [1,5,6,4,7,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,3,2,4] => [1,7,3,2,5,6,4] => [1,6,4,5,7,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,3,4,2] => [1,7,3,2,5,4,6] => [1,5,4,6,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,4,2,3] => [1,7,3,2,4,6,5] => [1,4,6,5,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,4,3,2] => [1,7,3,2,4,5,6] => [1,4,5,6,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,3,4,5] => [1,7,2,6,5,4,3] => [1,6,5,4,3,7,2] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,3,5,4] => [1,7,2,6,5,3,4] => [1,4,6,5,3,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,4,3,5] => [1,7,2,6,4,5,3] => [1,5,3,6,4,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,4,5,3] => [1,7,2,6,4,3,5] => [1,5,6,4,3,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,5,3,4] => [1,7,2,6,3,5,4] => [1,5,4,6,3,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,5,4,3] => [1,7,2,6,3,4,5] => [1,4,5,6,3,7,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,2,4,5] => [1,7,2,5,6,4,3] => [1,6,4,3,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,2,5,4] => [1,7,2,5,6,3,4] => [1,4,6,3,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,4,2,5] => [1,7,2,5,4,6,3] => [1,6,3,5,4,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,4,5,2] => [1,7,2,5,4,3,6] => [1,5,4,3,6,7,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,5,2,4] => [1,7,2,5,3,6,4] => [1,6,4,5,3,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,5,4,2] => [1,7,2,5,3,4,6] => [1,4,5,3,6,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,2,3,5] => [1,7,2,4,6,5,3] => [1,6,5,3,4,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,2,5,3] => [1,7,2,4,6,3,5] => [1,5,6,3,4,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,6,4,3,2,5] => [1,7,2,4,5,6,3] => [1,6,3,4,5,7,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,3,5,2] => [1,7,2,4,5,3,6] => [1,5,3,4,6,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,5,2,3] => [1,7,2,4,3,6,5] => [1,4,3,6,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,1,6,4,5,3,2] => [1,7,2,4,3,5,6] => [1,4,3,5,6,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,2,3,4] => [1,7,2,3,6,5,4] => [1,3,6,5,4,7,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,2,4,3] => [1,7,2,3,6,4,5] => [1,3,5,6,4,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,3,2,4] => [1,7,2,3,5,6,4] => [1,3,6,4,5,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,3,4,2] => [1,7,2,3,5,4,6] => [1,3,5,4,6,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,4,2,3] => [1,7,2,3,4,6,5] => [1,3,4,6,5,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,4,3,2] => [1,7,2,3,4,5,6] => [1,3,4,5,6,7,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,2,1,3,4,5,6] => [1,6,7,5,4,3,2] => [1,7,5,4,3,2,6] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,4,6,5] => [1,6,7,5,4,2,3] => [1,3,7,5,4,2,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,5,4,6] => [1,6,7,5,3,4,2] => [1,4,2,7,5,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,5,6,4] => [1,6,7,5,3,2,4] => [1,4,7,5,3,2,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,6,4,5] => [1,6,7,5,2,4,3] => [1,4,3,7,5,2,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,6,5,4] => [1,6,7,5,2,3,4] => [1,3,4,7,5,2,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,2,1,4,3,5,6] => [1,6,7,4,5,3,2] => [1,5,3,2,7,4,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[7,2,1,4,3,6,5] => [1,6,7,4,5,2,3] => [1,3,5,2,7,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[7,2,1,4,5,3,6] => [1,6,7,4,3,5,2] => [1,5,2,7,4,3,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,1,4,5,6,3] => [1,6,7,4,3,2,5] => [1,5,7,4,3,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,6,3,5] => [1,6,7,4,2,5,3] => [1,5,3,7,4,2,6] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,1,4,6,5,3] => [1,6,7,4,2,3,5] => [1,3,5,7,4,2,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,3,4,6] => [1,6,7,3,5,4,2] => [1,5,4,2,7,3,6] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[7,2,1,5,3,6,4] => [1,6,7,3,5,2,4] => [1,4,5,2,7,3,6] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,2,1,5,4,3,6] => [1,6,7,3,4,5,2] => [1,5,2,4,7,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,4,6,3] => [1,6,7,3,4,2,5] => [1,4,2,5,7,3,6] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,1,5,6,3,4] => [1,6,7,3,2,5,4] => [1,5,4,7,3,2,6] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,6,4,3] => [1,6,7,3,2,4,5] => [1,4,5,7,3,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,6,3,4,5] => [1,6,7,2,5,4,3] => [1,5,4,3,7,2,6] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,6,3,5,4] => [1,6,7,2,5,3,4] => [1,4,5,3,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,1,6,4,3,5] => [1,6,7,2,4,5,3] => [1,5,3,4,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,1,6,4,5,3] => [1,6,7,2,4,3,5] => [1,4,3,5,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,1,6,5,3,4] => [1,6,7,2,3,5,4] => [1,3,5,4,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,1,6,5,4,3] => [1,6,7,2,3,4,5] => [1,3,4,5,7,2,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,2,3,1,4,5,6] => [1,6,5,7,4,3,2] => [1,7,4,3,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,1,4,6,5] => [1,6,5,7,4,2,3] => [1,3,7,4,2,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,1,5,4,6] => [1,6,5,7,3,4,2] => [1,4,2,7,3,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[7,2,3,1,5,6,4] => [1,6,5,7,3,2,4] => [1,4,7,3,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,2,3,1,6,4,5] => [1,6,5,7,2,4,3] => [1,4,3,7,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[7,2,3,1,6,5,4] => [1,6,5,7,2,3,4] => [1,3,4,7,2,6,5] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,3,4,1,5,6] => [1,6,5,4,7,3,2] => [1,7,3,2,6,5,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,4,1,6,5] => [1,6,5,4,7,2,3] => [1,3,7,2,6,5,4] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,4,5,1,6] => [1,6,5,4,3,7,2] => [1,7,2,6,5,4,3] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,4,5,6,1] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,4,6,1,5] => [1,6,5,4,2,7,3] => [1,7,3,6,5,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,4,6,5,1] => [1,6,5,4,2,3,7] => [1,3,6,5,4,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,1,4,6] => [1,6,5,3,7,4,2] => [1,7,4,2,6,5,3] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,1,6,4] => [1,6,5,3,7,2,4] => [1,4,7,2,6,5,3] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,4,1,6] => [1,6,5,3,4,7,2] => [1,7,2,4,6,5,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,4,6,1] => [1,6,5,3,4,2,7] => [1,4,2,6,5,3,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,3,5,6,1,4] => [1,6,5,3,2,7,4] => [1,7,4,6,5,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,6,4,1] => [1,6,5,3,2,4,7] => [1,4,6,5,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,1,4,5] => [1,6,5,2,7,4,3] => [1,7,4,3,6,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,1,5,4] => [1,6,5,2,7,3,4] => [1,4,7,3,6,5,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,4,1,5] => [1,6,5,2,4,7,3] => [1,7,3,4,6,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,4,5,1] => [1,6,5,2,4,3,7] => [1,4,3,6,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,3,6,5,1,4] => [1,6,5,2,3,7,4] => [1,3,7,4,6,5,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,5,4,1] => [1,6,5,2,3,4,7] => [1,3,4,6,5,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,3,5,6] => [1,6,4,7,5,3,2] => [1,7,5,3,2,6,4] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,3,6,5] => [1,6,4,7,5,2,3] => [1,3,7,5,2,6,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,4,1,5,3,6] => [1,6,4,7,3,5,2] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,4,1,5,6,3] => [1,6,4,7,3,2,5] => [1,5,7,3,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,4,1,6,3,5] => [1,6,4,7,2,5,3] => [1,5,3,7,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[7,2,4,1,6,5,3] => [1,6,4,7,2,3,5] => [1,3,5,7,2,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,4,3,1,5,6] => [1,6,4,5,7,3,2] => [1,7,3,2,5,6,4] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,1,6,5] => [1,6,4,5,7,2,3] => [1,3,7,2,5,6,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,4,3,5,1,6] => [1,6,4,5,3,7,2] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,5,6,1] => [1,6,4,5,3,2,7] => [1,5,3,2,6,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,4,3,6,1,5] => [1,6,4,5,2,7,3] => [1,7,3,5,2,6,4] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,4,3,6,5,1] => [1,6,4,5,2,3,7] => [1,3,5,2,6,4,7] => ([(2,6),(3,5),(4,5),(4,6)],7)
[7,2,4,5,1,3,6] => [1,6,4,3,7,5,2] => [1,7,5,2,6,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,1,6,3] => [1,6,4,3,7,2,5] => [1,5,7,2,6,4,3] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,2,4,5,3,1,6] => [1,6,4,3,5,7,2] => [1,7,2,5,6,4,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,3,6,1] => [1,6,4,3,5,2,7] => [1,5,2,6,4,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,2,4,5,6,1,3] => [1,6,4,3,2,7,5] => [1,7,5,6,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,6,3,1] => [1,6,4,3,2,5,7] => [1,5,6,4,3,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,1,3,5] => [1,6,4,2,7,5,3] => [1,7,5,3,6,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,1,5,3] => [1,6,4,2,7,3,5] => [1,5,7,3,6,4,2] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,3,1,5] => [1,6,4,2,5,7,3] => [1,7,3,5,6,4,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,3,5,1] => [1,6,4,2,5,3,7] => [1,5,3,6,4,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,5,1,3] => [1,6,4,2,3,7,5] => [1,3,7,5,6,4,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,5,3,1] => [1,6,4,2,3,5,7] => [1,3,5,6,4,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,3,4,6] => [1,6,3,7,5,4,2] => [1,7,5,4,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,3,6,4] => [1,6,3,7,5,2,4] => [1,4,7,5,2,6,3] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,4,3,6] => [1,6,3,7,4,5,2] => [1,5,2,7,4,6,3] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,5,1,4,6,3] => [1,6,3,7,4,2,5] => [1,5,7,4,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,2,5,1,6,3,4] => [1,6,3,7,2,5,4] => [1,5,4,7,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,5,1,6,4,3] => [1,6,3,7,2,4,5] => [1,4,5,7,2,6,3] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[7,2,5,3,1,4,6] => [1,6,3,5,7,4,2] => [1,7,4,2,5,6,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,1,6,4] => [1,6,3,5,7,2,4] => [1,4,7,2,5,6,3] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,4,1,6] => [1,6,3,5,4,7,2] => [1,7,2,5,4,6,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,4,6,1] => [1,6,3,5,4,2,7] => [1,5,4,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,2,5,3,6,1,4] => [1,6,3,5,2,7,4] => [1,7,4,5,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,6,4,1] => [1,6,3,5,2,4,7] => [1,4,5,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,5,4,1,3,6] => [1,6,3,4,7,5,2] => [1,7,5,2,4,6,3] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,1,6,3] => [1,6,3,4,7,2,5] => [1,5,7,2,4,6,3] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,3,1,6] => [1,6,3,4,5,7,2] => [1,7,2,4,5,6,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,3,6,1] => [1,6,3,4,5,2,7] => [1,5,2,4,6,3,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,2,5,4,6,1,3] => [1,6,3,4,2,7,5] => [1,4,2,7,5,6,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,5,4,6,3,1] => [1,6,3,4,2,5,7] => [1,4,2,5,6,3,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[7,2,5,6,1,3,4] => [1,6,3,2,7,5,4] => [1,7,5,4,6,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,1,4,3] => [1,6,3,2,7,4,5] => [1,5,7,4,6,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,3,1,4] => [1,6,3,2,5,7,4] => [1,7,4,5,6,3,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,3,4,1] => [1,6,3,2,5,4,7] => [1,5,4,6,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,4,1,3] => [1,6,3,2,4,7,5] => [1,4,7,5,6,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,4,3,1] => [1,6,3,2,4,5,7] => [1,4,5,6,3,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,3,4,5] => [1,6,2,7,5,4,3] => [1,7,5,4,3,6,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,3,5,4] => [1,6,2,7,5,3,4] => [1,4,7,5,3,6,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,4,3,5] => [1,6,2,7,4,5,3] => [1,5,3,7,4,6,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,6,1,4,5,3] => [1,6,2,7,4,3,5] => [1,5,7,4,3,6,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,5,3,4] => [1,6,2,7,3,5,4] => [1,5,4,7,3,6,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,5,4,3] => [1,6,2,7,3,4,5] => [1,4,5,7,3,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,1,4,5] => [1,6,2,5,7,4,3] => [1,7,4,3,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,1,5,4] => [1,6,2,5,7,3,4] => [1,4,7,3,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,4,1,5] => [1,6,2,5,4,7,3] => [1,7,3,5,4,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,4,5,1] => [1,6,2,5,4,3,7] => [1,5,4,3,6,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,5,1,4] => [1,6,2,5,3,7,4] => [1,7,4,5,3,6,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,5,4,1] => [1,6,2,5,3,4,7] => [1,4,5,3,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,1,3,5] => [1,6,2,4,7,5,3] => [1,7,5,3,4,6,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,1,5,3] => [1,6,2,4,7,3,5] => [1,5,7,3,4,6,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,3,1,5] => [1,6,2,4,5,7,3] => [1,7,3,4,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,3,5,1] => [1,6,2,4,5,3,7] => [1,5,3,4,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,5,1,3] => [1,6,2,4,3,7,5] => [1,4,3,7,5,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,5,3,1] => [1,6,2,4,3,5,7] => [1,4,3,5,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,1,3,4] => [1,6,2,3,7,5,4] => [1,3,7,5,4,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,1,4,3] => [1,6,2,3,7,4,5] => [1,3,5,7,4,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,3,1,4] => [1,6,2,3,5,7,4] => [1,3,7,4,5,6,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,3,4,1] => [1,6,2,3,5,4,7] => [1,3,5,4,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,4,1,3] => [1,6,2,3,4,7,5] => [1,3,4,7,5,6,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,4,3,1] => [1,6,2,3,4,5,7] => [1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,1,2,4,5,6] => [1,5,7,6,4,3,2] => [1,7,6,4,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,4,6,5] => [1,5,7,6,4,2,3] => [1,3,7,6,4,2,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,5,4,6] => [1,5,7,6,3,4,2] => [1,4,2,7,6,3,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[7,3,1,2,5,6,4] => [1,5,7,6,3,2,4] => [1,4,7,6,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,6,4,5] => [1,5,7,6,2,4,3] => [1,4,3,7,6,2,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,1,2,6,5,4] => [1,5,7,6,2,3,4] => [1,3,4,7,6,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,1,4,2,5,6] => [1,5,7,4,6,3,2] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[7,3,1,4,2,6,5] => [1,5,7,4,6,2,3] => [1,3,6,2,7,4,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,3,1,4,5,2,6] => [1,5,7,4,3,6,2] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,4,5,6,2] => [1,5,7,4,3,2,6] => [1,6,7,4,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,4,6,2,5] => [1,5,7,4,2,6,3] => [1,6,3,7,4,2,5] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,4,6,5,2] => [1,5,7,4,2,3,6] => [1,3,6,7,4,2,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,1,5,2,4,6] => [1,5,7,3,6,4,2] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,5,2,6,4] => [1,5,7,3,6,2,4] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[7,3,1,5,4,2,6] => [1,5,7,3,4,6,2] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,1,5,4,6,2] => [1,5,7,3,4,2,6] => [1,4,2,6,7,3,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,3,1,5,6,2,4] => [1,5,7,3,2,6,4] => [1,6,4,7,3,2,5] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,1,5,6,4,2] => [1,5,7,3,2,4,6] => [1,4,6,7,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,2,4,5] => [1,5,7,2,6,4,3] => [1,6,4,3,7,2,5] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,2,5,4] => [1,5,7,2,6,3,4] => [1,4,6,3,7,2,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,4,2,5] => [1,5,7,2,4,6,3] => [1,6,3,4,7,2,5] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,4,5,2] => [1,5,7,2,4,3,6] => [1,4,3,6,7,2,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[7,3,1,6,5,2,4] => [1,5,7,2,3,6,4] => [1,3,6,4,7,2,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,1,6,5,4,2] => [1,5,7,2,3,4,6] => [1,3,4,6,7,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,2,1,4,5,6] => [1,5,6,7,4,3,2] => [1,7,4,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,1,4,6,5] => [1,5,6,7,4,2,3] => [1,3,7,4,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,2,1,5,4,6] => [1,5,6,7,3,4,2] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,3,2,1,5,6,4] => [1,5,6,7,3,2,4] => [1,4,7,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,2,1,6,4,5] => [1,5,6,7,2,4,3] => [1,4,3,7,2,5,6] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[7,3,2,1,6,5,4] => [1,5,6,7,2,3,4] => [1,3,4,7,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[7,3,2,4,1,5,6] => [1,5,6,4,7,3,2] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,1,6,5] => [1,5,6,4,7,2,3] => [1,3,7,2,6,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,2,4,5,1,6] => [1,5,6,4,3,7,2] => [1,7,2,6,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,5,6,1] => [1,5,6,4,3,2,7] => [1,6,4,3,2,5,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,6,1,5] => [1,5,6,4,2,7,3] => [1,7,3,6,4,2,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,6,5,1] => [1,5,6,4,2,3,7] => [1,3,6,4,2,5,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,2,5,1,4,6] => [1,5,6,3,7,4,2] => [1,7,4,2,6,3,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,2,5,1,6,4] => [1,5,6,3,7,2,4] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,4,1,6] => [1,5,6,3,4,7,2] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,4,6,1] => [1,5,6,3,4,2,7] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7)
[7,3,2,5,6,1,4] => [1,5,6,3,2,7,4] => [1,7,4,6,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,6,4,1] => [1,5,6,3,2,4,7] => [1,4,6,3,2,5,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,2,6,1,4,5] => [1,5,6,2,7,4,3] => [1,7,4,3,6,2,5] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,6,1,5,4] => [1,5,6,2,7,3,4] => [1,4,7,3,6,2,5] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,6,4,1,5] => [1,5,6,2,4,7,3] => [1,7,3,4,6,2,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,6,4,5,1] => [1,5,6,2,4,3,7] => [1,4,3,6,2,5,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[7,3,2,6,5,1,4] => [1,5,6,2,3,7,4] => [1,3,7,4,6,2,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,2,6,5,4,1] => [1,5,6,2,3,4,7] => [1,3,4,6,2,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[7,3,4,1,2,5,6] => [1,5,4,7,6,3,2] => [1,7,6,3,2,5,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,1,2,6,5] => [1,5,4,7,6,2,3] => [1,3,7,6,2,5,4] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,1,5,2,6] => [1,5,4,7,3,6,2] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,4,1,5,6,2] => [1,5,4,7,3,2,6] => [1,6,7,3,2,5,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,4,1,6,2,5] => [1,5,4,7,2,6,3] => [1,6,3,7,2,5,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[7,3,4,1,6,5,2] => [1,5,4,7,2,3,6] => [1,3,6,7,2,5,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,4,2,1,5,6] => [1,5,4,6,7,3,2] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,3,4,2,1,6,5] => [1,5,4,6,7,2,3] => [1,3,7,2,5,4,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,3,4,2,5,1,6] => [1,5,4,6,3,7,2] => [1,7,2,6,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,5,6,1] => [1,5,4,6,3,2,7] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,3,4,2,6,1,5] => [1,5,4,6,2,7,3] => [1,7,3,6,2,5,4] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,6,5,1] => [1,5,4,6,2,3,7] => [1,3,6,2,5,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[7,3,4,5,1,2,6] => [1,5,4,3,7,6,2] => [1,7,6,2,5,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,5,1,6,2] => [1,5,4,3,7,2,6] => [1,6,7,2,5,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,4,5,2,1,6] => [1,5,4,3,6,7,2] => [1,7,2,5,4,3,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,5,2,6,1] => [1,5,4,3,6,2,7] => [1,6,2,5,4,3,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,5,6,1,2] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,5,6,2,1] => [1,5,4,3,2,6,7] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,6,1,2,5] => [1,5,4,2,7,6,3] => [1,7,6,3,5,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,6,1,5,2] => [1,5,4,2,7,3,6] => [1,6,7,3,5,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,4,6,2,1,5] => [1,5,4,2,6,7,3] => [1,7,3,5,4,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,6,2,5,1] => [1,5,4,2,6,3,7] => [1,6,3,5,4,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,6,5,1,2] => [1,5,4,2,3,7,6] => [1,3,5,4,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,6,5,2,1] => [1,5,4,2,3,6,7] => [1,3,5,4,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,2,4,6] => [1,5,3,7,6,4,2] => [1,7,6,4,2,5,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,2,6,4] => [1,5,3,7,6,2,4] => [1,4,7,6,2,5,3] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,5,1,4,2,6] => [1,5,3,7,4,6,2] => [1,6,2,7,4,5,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,4,6,2] => [1,5,3,7,4,2,6] => [1,6,7,4,2,5,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,5,1,6,2,4] => [1,5,3,7,2,6,4] => [1,6,4,7,2,5,3] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,6,4,2] => [1,5,3,7,2,4,6] => [1,4,6,7,2,5,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,5,2,1,4,6] => [1,5,3,6,7,4,2] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,1,6,4] => [1,5,3,6,7,2,4] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,5,2,4,1,6] => [1,5,3,6,4,7,2] => [1,7,2,6,4,5,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,4,6,1] => [1,5,3,6,4,2,7] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,6,1,4] => [1,5,3,6,2,7,4] => [1,7,4,6,2,5,3] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,6,4,1] => [1,5,3,6,2,4,7] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,5,4,1,2,6] => [1,5,3,4,7,6,2] => [1,7,6,2,4,5,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,1,6,2] => [1,5,3,4,7,2,6] => [1,6,7,2,4,5,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,5,4,2,1,6] => [1,5,3,4,6,7,2] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,2,6,1] => [1,5,3,4,6,2,7] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,6,1,2] => [1,5,3,4,2,7,6] => [1,4,2,5,3,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[7,3,5,4,6,2,1] => [1,5,3,4,2,6,7] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7)
[7,3,5,6,1,2,4] => [1,5,3,2,7,6,4] => [1,7,6,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,6,1,4,2] => [1,5,3,2,7,4,6] => [1,6,7,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,6,2,1,4] => [1,5,3,2,6,7,4] => [1,7,4,5,3,2,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,6,2,4,1] => [1,5,3,2,6,4,7] => [1,6,4,5,3,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,6,4,1,2] => [1,5,3,2,4,7,6] => [1,4,5,3,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,6,4,2,1] => [1,5,3,2,4,6,7] => [1,4,5,3,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,2,4,5] => [1,5,2,7,6,4,3] => [1,7,6,4,3,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,2,5,4] => [1,5,2,7,6,3,4] => [1,4,7,6,3,5,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,4,2,5] => [1,5,2,7,4,6,3] => [1,6,3,7,4,5,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,4,5,2] => [1,5,2,7,4,3,6] => [1,6,7,4,3,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,6,1,5,2,4] => [1,5,2,7,3,6,4] => [1,6,4,7,3,5,2] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,5,4,2] => [1,5,2,7,3,4,6] => [1,4,6,7,3,5,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,1,4,5] => [1,5,2,6,7,4,3] => [1,7,4,3,5,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,1,5,4] => [1,5,2,6,7,3,4] => [1,4,7,3,5,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,6,2,4,1,5] => [1,5,2,6,4,7,3] => [1,7,3,6,4,5,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,4,5,1] => [1,5,2,6,4,3,7] => [1,6,4,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,5,1,4] => [1,5,2,6,3,7,4] => [1,7,4,6,3,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,5,4,1] => [1,5,2,6,3,4,7] => [1,4,6,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,4,1,2,5] => [1,5,2,4,7,6,3] => [1,7,6,3,4,5,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,4,1,5,2] => [1,5,2,4,7,3,6] => [1,6,7,3,4,5,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,6,4,2,1,5] => [1,5,2,4,6,7,3] => [1,7,3,4,5,2,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,4,2,5,1] => [1,5,2,4,6,3,7] => [1,6,3,4,5,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,4,5,1,2] => [1,5,2,4,3,7,6] => [1,4,3,5,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,4,5,2,1] => [1,5,2,4,3,6,7] => [1,4,3,5,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,5,1,2,4] => [1,5,2,3,7,6,4] => [1,3,7,6,4,5,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,5,1,4,2] => [1,5,2,3,7,4,6] => [1,3,6,7,4,5,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,6,5,2,1,4] => [1,5,2,3,6,7,4] => [1,3,7,4,5,2,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,5,2,4,1] => [1,5,2,3,6,4,7] => [1,3,6,4,5,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,5,4,1,2] => [1,5,2,3,4,7,6] => [1,3,4,5,2,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[7,3,6,5,4,2,1] => [1,5,2,3,4,6,7] => [1,3,4,5,2,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,4,1,2,3,5,6] => [1,4,7,6,5,3,2] => [1,7,6,5,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,3,6,5] => [1,4,7,6,5,2,3] => [1,3,7,6,5,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,5,3,6] => [1,4,7,6,3,5,2] => [1,5,2,7,6,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,2,5,6,3] => [1,4,7,6,3,2,5] => [1,5,7,6,3,2,4] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,6,3,5] => [1,4,7,6,2,5,3] => [1,5,3,7,6,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,1,2,6,5,3] => [1,4,7,6,2,3,5] => [1,3,5,7,6,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,1,3,2,5,6] => [1,4,7,5,6,3,2] => [1,6,3,2,4,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,1,3,2,6,5] => [1,4,7,5,6,2,3] => [1,3,6,2,4,7,5] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,1,3,5,2,6] => [1,4,7,5,3,6,2] => [1,6,2,7,5,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,3,5,6,2] => [1,4,7,5,3,2,6] => [1,6,7,5,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,1,3,6,2,5] => [1,4,7,5,2,6,3] => [1,6,3,7,5,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,4,1,3,6,5,2] => [1,4,7,5,2,3,6] => [1,3,6,7,5,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,2,3,6] => [1,4,7,3,6,5,2] => [1,6,5,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,2,6,3] => [1,4,7,3,6,2,5] => [1,5,6,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,1,5,3,2,6] => [1,4,7,3,5,6,2] => [1,6,2,5,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,1,5,3,6,2] => [1,4,7,3,5,2,6] => [1,5,2,6,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,5,6,2,3] => [1,4,7,3,2,6,5] => [1,6,5,7,3,2,4] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,6,3,2] => [1,4,7,3,2,5,6] => [1,5,6,7,3,2,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,2,3,5] => [1,4,7,2,6,5,3] => [1,6,5,3,7,2,4] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,4,1,6,2,5,3] => [1,4,7,2,6,3,5] => [1,5,6,3,7,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,1,6,3,2,5] => [1,4,7,2,5,6,3] => [1,6,3,5,7,2,4] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,3,5,2] => [1,4,7,2,5,3,6] => [1,5,3,6,7,2,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[7,4,1,6,5,2,3] => [1,4,7,2,3,6,5] => [1,3,6,5,7,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,1,6,5,3,2] => [1,4,7,2,3,5,6] => [1,3,5,6,7,2,4] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,1,3,5,6] => [1,4,6,7,5,3,2] => [1,7,5,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,3,6,5] => [1,4,6,7,5,2,3] => [1,3,7,5,2,4,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,5,3,6] => [1,4,6,7,3,5,2] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,1,5,6,3] => [1,4,6,7,3,2,5] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,1,6,3,5] => [1,4,6,7,2,5,3] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,1,6,5,3] => [1,4,6,7,2,3,5] => [1,3,5,7,2,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,2,3,1,5,6] => [1,4,6,5,7,3,2] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,2,3,1,6,5] => [1,4,6,5,7,2,3] => [1,3,7,2,4,6,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,2,3,5,1,6] => [1,4,6,5,3,7,2] => [1,7,2,6,5,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,5,6,1] => [1,4,6,5,3,2,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,6,1,5] => [1,4,6,5,2,7,3] => [1,7,3,6,5,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,6,5,1] => [1,4,6,5,2,3,7] => [1,3,6,5,2,4,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,4,2,5,1,3,6] => [1,4,6,3,7,5,2] => [1,7,5,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,5,1,6,3] => [1,4,6,3,7,2,5] => [1,5,7,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,5,3,1,6] => [1,4,6,3,5,7,2] => [1,7,2,5,6,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,2,5,3,6,1] => [1,4,6,3,5,2,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,2,5,6,1,3] => [1,4,6,3,2,7,5] => [1,7,5,6,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,2,5,6,3,1] => [1,4,6,3,2,5,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,6,1,3,5] => [1,4,6,2,7,5,3] => [1,7,5,3,6,2,4] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,6,1,5,3] => [1,4,6,2,7,3,5] => [1,5,7,3,6,2,4] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,6,3,1,5] => [1,4,6,2,5,7,3] => [1,7,3,5,6,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,6,3,5,1] => [1,4,6,2,5,3,7] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,4,2,6,5,1,3] => [1,4,6,2,3,7,5] => [1,3,7,5,6,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,6,5,3,1] => [1,4,6,2,3,5,7] => [1,3,5,6,2,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,3,1,2,5,6] => [1,4,5,7,6,3,2] => [1,7,6,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,2,6,5] => [1,4,5,7,6,2,3] => [1,3,7,6,2,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,5,2,6] => [1,4,5,7,3,6,2] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,1,5,6,2] => [1,4,5,7,3,2,6] => [1,6,7,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,1,6,2,5] => [1,4,5,7,2,6,3] => [1,6,3,7,2,4,5] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[7,4,3,1,6,5,2] => [1,4,5,7,2,3,6] => [1,3,6,7,2,4,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,3,2,1,5,6] => [1,4,5,6,7,3,2] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,1,6,5] => [1,4,5,6,7,2,3] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,4,3,2,5,1,6] => [1,4,5,6,3,7,2] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,5,6,1] => [1,4,5,6,3,2,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,6,1,5] => [1,4,5,6,2,7,3] => [1,7,3,6,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,6,5,1] => [1,4,5,6,2,3,7] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[7,4,3,5,1,2,6] => [1,4,5,3,7,6,2] => [1,7,6,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,1,6,2] => [1,4,5,3,7,2,6] => [1,6,7,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,5,2,1,6] => [1,4,5,3,6,7,2] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,2,6,1] => [1,4,5,3,6,2,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,6,1,2] => [1,4,5,3,2,7,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,6,2,1] => [1,4,5,3,2,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,6,1,2,5] => [1,4,5,2,7,6,3] => [1,7,6,3,5,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,6,1,5,2] => [1,4,5,2,7,3,6] => [1,6,7,3,5,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,6,2,1,5] => [1,4,5,2,6,7,3] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,6,2,5,1] => [1,4,5,2,6,3,7] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,6,5,1,2] => [1,4,5,2,3,7,6] => [1,3,5,2,4,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[7,4,3,6,5,2,1] => [1,4,5,2,3,6,7] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7)
[7,4,5,1,2,3,6] => [1,4,3,7,6,5,2] => [1,7,6,5,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,1,2,6,3] => [1,4,3,7,6,2,5] => [1,5,7,6,2,4,3] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,1,3,2,6] => [1,4,3,7,5,6,2] => [1,6,2,4,3,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,5,1,3,6,2] => [1,4,3,7,5,2,6] => [1,6,7,5,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,5,1,6,2,3] => [1,4,3,7,2,6,5] => [1,6,5,7,2,4,3] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,1,6,3,2] => [1,4,3,7,2,5,6] => [1,5,6,7,2,4,3] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,2,1,3,6] => [1,4,3,6,7,5,2] => [1,7,5,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,2,1,6,3] => [1,4,3,6,7,2,5] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,5,2,3,1,6] => [1,4,3,6,5,7,2] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,5,2,3,6,1] => [1,4,3,6,5,2,7] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,2,6,1,3] => [1,4,3,6,2,7,5] => [1,7,5,6,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,5,2,6,3,1] => [1,4,3,6,2,5,7] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,5,3,1,2,6] => [1,4,3,5,7,6,2] => [1,7,6,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,3,1,6,2] => [1,4,3,5,7,2,6] => [1,6,7,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,5,3,2,1,6] => [1,4,3,5,6,7,2] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,3,2,6,1] => [1,4,3,5,6,2,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,3,6,1,2] => [1,4,3,5,2,7,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,3,6,2,1] => [1,4,3,5,2,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,6,1,2,3] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
[7,4,5,6,1,3,2] => [1,4,3,2,7,5,6] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[7,4,5,6,2,1,3] => [1,4,3,2,6,7,5] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[7,4,5,6,2,3,1] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[7,4,5,6,3,1,2] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[7,4,5,6,3,2,1] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,4,6,1,2,3,5] => [1,4,2,7,6,5,3] => [1,7,6,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,1,2,5,3] => [1,4,2,7,6,3,5] => [1,5,7,6,3,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,6,1,3,2,5] => [1,4,2,7,5,6,3] => [1,6,3,4,2,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,6,1,3,5,2] => [1,4,2,7,5,3,6] => [1,6,7,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,1,5,2,3] => [1,4,2,7,3,6,5] => [1,6,5,7,3,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,6,1,5,3,2] => [1,4,2,7,3,5,6] => [1,5,6,7,3,4,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,6,2,1,3,5] => [1,4,2,6,7,5,3] => [1,7,5,3,4,2,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,2,1,5,3] => [1,4,2,6,7,3,5] => [1,5,7,3,4,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,2,3,1,5] => [1,4,2,6,5,7,3] => [1,7,3,4,2,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,2,3,5,1] => [1,4,2,6,5,3,7] => [1,6,5,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,2,5,1,3] => [1,4,2,6,3,7,5] => [1,7,5,6,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,2,5,3,1] => [1,4,2,6,3,5,7] => [1,5,6,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,6,3,1,2,5] => [1,4,2,5,7,6,3] => [1,7,6,3,4,2,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,3,1,5,2] => [1,4,2,5,7,3,6] => [1,6,7,3,4,2,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,6,3,2,1,5] => [1,4,2,5,6,7,3] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,3,2,5,1] => [1,4,2,5,6,3,7] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,3,5,1,2] => [1,4,2,5,3,7,6] => [1,5,3,4,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,3,5,2,1] => [1,4,2,5,3,6,7] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,5,1,2,3] => [1,4,2,3,7,6,5] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[7,4,6,5,1,3,2] => [1,4,2,3,7,5,6] => [1,3,4,2,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7)
[7,4,6,5,2,1,3] => [1,4,2,3,6,7,5] => [1,3,4,2,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[7,4,6,5,2,3,1] => [1,4,2,3,6,5,7] => [1,3,4,2,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,4,6,5,3,1,2] => [1,4,2,3,5,7,6] => [1,3,4,2,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[7,4,6,5,3,2,1] => [1,4,2,3,5,6,7] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7)
[7,5,1,2,3,4,6] => [1,3,7,6,5,4,2] => [1,7,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,2,3,6,4] => [1,3,7,6,5,2,4] => [1,4,7,6,5,2,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,1,2,4,3,6] => [1,3,7,6,4,5,2] => [1,5,2,3,7,6,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[7,5,1,2,4,6,3] => [1,3,7,6,4,2,5] => [1,5,7,6,4,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,1,2,6,3,4] => [1,3,7,6,2,5,4] => [1,5,4,7,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,1,2,6,4,3] => [1,3,7,6,2,4,5] => [1,4,5,7,6,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,1,3,2,4,6] => [1,3,7,5,6,4,2] => [1,6,4,2,3,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,1,3,2,6,4] => [1,3,7,5,6,2,4] => [1,4,6,2,3,7,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[7,5,1,3,4,2,6] => [1,3,7,5,4,6,2] => [1,6,2,3,7,5,4] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,5,1,3,4,6,2] => [1,3,7,5,4,2,6] => [1,6,7,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,3,6,2,4] => [1,3,7,5,2,6,4] => [1,6,4,7,5,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,1,3,6,4,2] => [1,3,7,5,2,4,6] => [1,4,6,7,5,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,1,4,2,3,6] => [1,3,7,4,6,5,2] => [1,6,5,2,3,7,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,4,2,6,3] => [1,3,7,4,6,2,5] => [1,5,6,2,3,7,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,1,4,3,2,6] => [1,3,7,4,5,6,2] => [1,6,2,3,5,7,4] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,5,1,4,3,6,2] => [1,3,7,4,5,2,6] => [1,5,2,3,6,7,4] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[7,5,1,4,6,2,3] => [1,3,7,4,2,6,5] => [1,6,5,7,4,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,1,4,6,3,2] => [1,3,7,4,2,5,6] => [1,5,6,7,4,2,3] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,1,6,2,3,4] => [1,3,7,2,6,5,4] => [1,6,5,4,7,2,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,1,6,2,4,3] => [1,3,7,2,6,4,5] => [1,5,6,4,7,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,1,6,3,2,4] => [1,3,7,2,5,6,4] => [1,6,4,5,7,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,1,6,3,4,2] => [1,3,7,2,5,4,6] => [1,5,4,6,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,1,6,4,2,3] => [1,3,7,2,4,6,5] => [1,4,6,5,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,1,6,4,3,2] => [1,3,7,2,4,5,6] => [1,4,5,6,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,2,1,3,4,6] => [1,3,6,7,5,4,2] => [1,7,5,4,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,3,6,4] => [1,3,6,7,5,2,4] => [1,4,7,5,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,2,1,4,3,6] => [1,3,6,7,4,5,2] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[7,5,2,1,4,6,3] => [1,3,6,7,4,2,5] => [1,5,7,4,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,6,3,4] => [1,3,6,7,2,5,4] => [1,5,4,7,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,2,1,6,4,3] => [1,3,6,7,2,4,5] => [1,4,5,7,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,2,3,1,4,6] => [1,3,6,5,7,4,2] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,3,1,6,4] => [1,3,6,5,7,2,4] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[7,5,2,3,4,1,6] => [1,3,6,5,4,7,2] => [1,7,2,3,6,5,4] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,3,4,6,1] => [1,3,6,5,4,2,7] => [1,6,5,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,3,6,1,4] => [1,3,6,5,2,7,4] => [1,7,4,6,5,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,2,3,6,4,1] => [1,3,6,5,2,4,7] => [1,4,6,5,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,2,4,1,3,6] => [1,3,6,4,7,5,2] => [1,7,5,2,3,6,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,1,6,3] => [1,3,6,4,7,2,5] => [1,5,7,2,3,6,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[7,5,2,4,3,1,6] => [1,3,6,4,5,7,2] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,3,6,1] => [1,3,6,4,5,2,7] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[7,5,2,4,6,1,3] => [1,3,6,4,2,7,5] => [1,7,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,6,3,1] => [1,3,6,4,2,5,7] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,2,6,1,3,4] => [1,3,6,2,7,5,4] => [1,7,5,4,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,2,6,1,4,3] => [1,3,6,2,7,4,5] => [1,5,7,4,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,2,6,3,1,4] => [1,3,6,2,5,7,4] => [1,7,4,5,6,2,3] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,2,6,3,4,1] => [1,3,6,2,5,4,7] => [1,5,4,6,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,2,6,4,1,3] => [1,3,6,2,4,7,5] => [1,4,7,5,6,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,2,6,4,3,1] => [1,3,6,2,4,5,7] => [1,4,5,6,2,3,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,3,1,2,4,6] => [1,3,5,7,6,4,2] => [1,7,6,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,2,6,4] => [1,3,5,7,6,2,4] => [1,4,7,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,4,2,6] => [1,3,5,7,4,6,2] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,3,1,4,6,2] => [1,3,5,7,4,2,6] => [1,6,7,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,3,1,6,2,4] => [1,3,5,7,2,6,4] => [1,6,4,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,3,1,6,4,2] => [1,3,5,7,2,4,6] => [1,4,6,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,3,2,1,4,6] => [1,3,5,6,7,4,2] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,1,6,4] => [1,3,5,6,7,2,4] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,3,2,4,1,6] => [1,3,5,6,4,7,2] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,4,6,1] => [1,3,5,6,4,2,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,6,1,4] => [1,3,5,6,2,7,4] => [1,7,4,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,6,4,1] => [1,3,5,6,2,4,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,3,4,1,2,6] => [1,3,5,4,7,6,2] => [1,7,6,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,4,1,6,2] => [1,3,5,4,7,2,6] => [1,6,7,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,3,4,2,1,6] => [1,3,5,4,6,7,2] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,4,2,6,1] => [1,3,5,4,6,2,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,4,6,1,2] => [1,3,5,4,2,7,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,4,6,2,1] => [1,3,5,4,2,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,6,1,2,4] => [1,3,5,2,7,6,4] => [1,7,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,6,1,4,2] => [1,3,5,2,7,4,6] => [1,6,7,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,3,6,2,1,4] => [1,3,5,2,6,7,4] => [1,7,4,5,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,3,6,2,4,1] => [1,3,5,2,6,4,7] => [1,6,4,5,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,3,6,4,1,2] => [1,3,5,2,4,7,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,3,6,4,2,1] => [1,3,5,2,4,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,5,4,1,2,3,6] => [1,3,4,7,6,5,2] => [1,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,1,2,6,3] => [1,3,4,7,6,2,5] => [1,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,1,3,2,6] => [1,3,4,7,5,6,2] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[7,5,4,1,3,6,2] => [1,3,4,7,5,2,6] => [1,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,4,1,6,2,3] => [1,3,4,7,2,6,5] => [1,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,1,6,3,2] => [1,3,4,7,2,5,6] => [1,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[7,5,4,2,1,3,6] => [1,3,4,6,7,5,2] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,2,1,6,3] => [1,3,4,6,7,2,5] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,4,2,3,1,6] => [1,3,4,6,5,7,2] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,2,3,6,1] => [1,3,4,6,5,2,7] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,2,6,1,3] => [1,3,4,6,2,7,5] => [1,7,5,6,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,4,2,6,3,1] => [1,3,4,6,2,5,7] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,4,3,1,2,6] => [1,3,4,5,7,6,2] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,3,1,6,2] => [1,3,4,5,7,2,6] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,4,3,2,1,6] => [1,3,4,5,6,7,2] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,3,2,6,1] => [1,3,4,5,6,2,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,3,6,1,2] => [1,3,4,5,2,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[7,5,4,3,6,2,1] => [1,3,4,5,2,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,5,4,6,1,2,3] => [1,3,4,2,7,6,5] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[7,5,4,6,1,3,2] => [1,3,4,2,7,5,6] => [1,4,2,3,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7)
[7,5,4,6,2,1,3] => [1,3,4,2,6,7,5] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[7,5,4,6,2,3,1] => [1,3,4,2,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,5,4,6,3,1,2] => [1,3,4,2,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[7,5,4,6,3,2,1] => [1,3,4,2,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,5,6,1,2,3,4] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,1,2,4,3] => [1,3,2,7,6,4,5] => [1,3,2,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,1,3,2,4] => [1,3,2,7,5,6,4] => [1,3,2,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7)
[7,5,6,1,3,4,2] => [1,3,2,7,5,4,6] => [1,3,2,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,1,4,2,3] => [1,3,2,7,4,6,5] => [1,3,2,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,1,4,3,2] => [1,3,2,7,4,5,6] => [1,3,2,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7)
[7,5,6,2,1,3,4] => [1,3,2,6,7,5,4] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,2,1,4,3] => [1,3,2,6,7,4,5] => [1,3,2,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[7,5,6,2,3,1,4] => [1,3,2,6,5,7,4] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,2,3,4,1] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[7,5,6,2,4,1,3] => [1,3,2,6,4,7,5] => [1,3,2,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,2,4,3,1] => [1,3,2,6,4,5,7] => [1,3,2,5,6,4,7] => ([(2,3),(4,6),(5,6)],7)
[7,5,6,3,1,2,4] => [1,3,2,5,7,6,4] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,3,1,4,2] => [1,3,2,5,7,4,6] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[7,5,6,3,2,1,4] => [1,3,2,5,6,7,4] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[7,5,6,3,2,4,1] => [1,3,2,5,6,4,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,5,6,3,4,1,2] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7)
[7,5,6,3,4,2,1] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[7,5,6,4,1,2,3] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[7,5,6,4,1,3,2] => [1,3,2,4,7,5,6] => [1,3,2,4,6,7,5] => ([(2,3),(4,6),(5,6)],7)
[7,5,6,4,2,1,3] => [1,3,2,4,6,7,5] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[7,5,6,4,2,3,1] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[7,5,6,4,3,1,2] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[7,5,6,4,3,2,1] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[7,6,1,2,3,4,5] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,2,3,5,4] => [1,2,7,6,5,3,4] => [1,2,4,7,6,5,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,2,4,3,5] => [1,2,7,6,4,5,3] => [1,2,5,3,7,6,4] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[7,6,1,2,4,5,3] => [1,2,7,6,4,3,5] => [1,2,5,7,6,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,2,5,3,4] => [1,2,7,6,3,5,4] => [1,2,5,4,7,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,6,1,2,5,4,3] => [1,2,7,6,3,4,5] => [1,2,4,5,7,6,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,2,4,5] => [1,2,7,5,6,4,3] => [1,2,6,4,3,7,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[7,6,1,3,2,5,4] => [1,2,7,5,6,3,4] => [1,2,4,6,3,7,5] => ([(2,6),(3,5),(4,5),(4,6)],7)
[7,6,1,3,4,2,5] => [1,2,7,5,4,6,3] => [1,2,6,3,7,5,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,6,1,3,4,5,2] => [1,2,7,5,4,3,6] => [1,2,6,7,5,4,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,5,2,4] => [1,2,7,5,3,6,4] => [1,2,6,4,7,5,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,5,4,2] => [1,2,7,5,3,4,6] => [1,2,4,6,7,5,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,2,3,5] => [1,2,7,4,6,5,3] => [1,2,6,5,3,7,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,6,1,4,2,5,3] => [1,2,7,4,6,3,5] => [1,2,5,6,3,7,4] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,1,4,3,2,5] => [1,2,7,4,5,6,3] => [1,2,6,3,5,7,4] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,6,1,4,3,5,2] => [1,2,7,4,5,3,6] => [1,2,5,3,6,7,4] => ([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,1,4,5,2,3] => [1,2,7,4,3,6,5] => [1,2,6,5,7,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,5,3,2] => [1,2,7,4,3,5,6] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,2,3,4] => [1,2,7,3,6,5,4] => [1,2,6,5,4,7,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,2,4,3] => [1,2,7,3,6,4,5] => [1,2,5,6,4,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,3,2,4] => [1,2,7,3,5,6,4] => [1,2,6,4,5,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,3,4,2] => [1,2,7,3,5,4,6] => [1,2,5,4,6,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,4,2,3] => [1,2,7,3,4,6,5] => [1,2,4,6,5,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,4,3,2] => [1,2,7,3,4,5,6] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,2,1,3,4,5] => [1,2,6,7,5,4,3] => [1,2,7,5,4,3,6] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,3,5,4] => [1,2,6,7,5,3,4] => [1,2,4,7,5,3,6] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,6,2,1,4,3,5] => [1,2,6,7,4,5,3] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7)
[7,6,2,1,4,5,3] => [1,2,6,7,4,3,5] => [1,2,5,7,4,3,6] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,6,2,1,5,3,4] => [1,2,6,7,3,5,4] => [1,2,5,4,7,3,6] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[7,6,2,1,5,4,3] => [1,2,6,7,3,4,5] => [1,2,4,5,7,3,6] => ([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,2,3,1,4,5] => [1,2,6,5,7,4,3] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,6,2,3,1,5,4] => [1,2,6,5,7,3,4] => [1,2,4,7,3,6,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[7,6,2,3,4,1,5] => [1,2,6,5,4,7,3] => [1,2,7,3,6,5,4] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,3,4,5,1] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,3,5,1,4] => [1,2,6,5,3,7,4] => [1,2,7,4,6,5,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,3,5,4,1] => [1,2,6,5,3,4,7] => [1,2,4,6,5,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,1,3,5] => [1,2,6,4,7,5,3] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,1,5,3] => [1,2,6,4,7,3,5] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,6,2,4,3,1,5] => [1,2,6,4,5,7,3] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,3,5,1] => [1,2,6,4,5,3,7] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7)
[7,6,2,4,5,1,3] => [1,2,6,4,3,7,5] => [1,2,7,5,6,4,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,5,3,1] => [1,2,6,4,3,5,7] => [1,2,5,6,4,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,1,3,4] => [1,2,6,3,7,5,4] => [1,2,7,5,4,6,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,1,4,3] => [1,2,6,3,7,4,5] => [1,2,5,7,4,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,3,1,4] => [1,2,6,3,5,7,4] => [1,2,7,4,5,6,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,3,4,1] => [1,2,6,3,5,4,7] => [1,2,5,4,6,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,4,1,3] => [1,2,6,3,4,7,5] => [1,2,4,7,5,6,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,4,3,1] => [1,2,6,3,4,5,7] => [1,2,4,5,6,3,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,3,1,2,4,5] => [1,2,5,7,6,4,3] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,1,2,5,4] => [1,2,5,7,6,3,4] => [1,2,4,7,6,3,5] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[7,6,3,1,4,2,5] => [1,2,5,7,4,6,3] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,3,1,4,5,2] => [1,2,5,7,4,3,6] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,3,1,5,2,4] => [1,2,5,7,3,6,4] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,6,3,1,5,4,2] => [1,2,5,7,3,4,6] => [1,2,4,6,7,3,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,3,2,1,4,5] => [1,2,5,6,7,4,3] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,1,5,4] => [1,2,5,6,7,3,4] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,3,2,4,1,5] => [1,2,5,6,4,7,3] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,4,5,1] => [1,2,5,6,4,3,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,5,1,4] => [1,2,5,6,3,7,4] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,5,4,1] => [1,2,5,6,3,4,7] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7)
[7,6,3,4,1,2,5] => [1,2,5,4,7,6,3] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,4,1,5,2] => [1,2,5,4,7,3,6] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,3,4,2,1,5] => [1,2,5,4,6,7,3] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,4,2,5,1] => [1,2,5,4,6,3,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,4,5,1,2] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[7,6,3,4,5,2,1] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,6,3,5,1,2,4] => [1,2,5,3,7,6,4] => [1,2,7,6,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,5,1,4,2] => [1,2,5,3,7,4,6] => [1,2,6,7,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,6,3,5,2,1,4] => [1,2,5,3,6,7,4] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,5,2,4,1] => [1,2,5,3,6,4,7] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,5,4,1,2] => [1,2,5,3,4,7,6] => [1,2,4,5,3,7,6] => ([(2,3),(4,6),(5,6)],7)
[7,6,3,5,4,2,1] => [1,2,5,3,4,6,7] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7)
[7,6,4,1,2,3,5] => [1,2,4,7,6,5,3] => [1,2,7,6,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,1,2,5,3] => [1,2,4,7,6,3,5] => [1,2,5,7,6,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,4,1,3,2,5] => [1,2,4,7,5,6,3] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7)
[7,6,4,1,3,5,2] => [1,2,4,7,5,3,6] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,6,4,1,5,2,3] => [1,2,4,7,3,6,5] => [1,2,6,5,7,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,4,1,5,3,2] => [1,2,4,7,3,5,6] => [1,2,5,6,7,3,4] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,4,2,1,3,5] => [1,2,4,6,7,5,3] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,2,1,5,3] => [1,2,4,6,7,3,5] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,6,4,2,3,1,5] => [1,2,4,6,5,7,3] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,2,3,5,1] => [1,2,4,6,5,3,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,2,5,1,3] => [1,2,4,6,3,7,5] => [1,2,7,5,6,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,6,4,2,5,3,1] => [1,2,4,6,3,5,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,4,3,1,2,5] => [1,2,4,5,7,6,3] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,3,1,5,2] => [1,2,4,5,7,3,6] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[7,6,4,3,2,1,5] => [1,2,4,5,6,7,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,6,4,3,2,5,1] => [1,2,4,5,6,3,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,4,3,5,1,2] => [1,2,4,5,3,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[7,6,4,3,5,2,1] => [1,2,4,5,3,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,6,4,5,1,2,3] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[7,6,4,5,1,3,2] => [1,2,4,3,7,5,6] => [1,2,4,3,6,7,5] => ([(2,3),(4,6),(5,6)],7)
[7,6,4,5,2,1,3] => [1,2,4,3,6,7,5] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[7,6,4,5,2,3,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[7,6,4,5,3,1,2] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[7,6,4,5,3,2,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[7,6,5,1,2,3,4] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,1,2,4,3] => [1,2,3,7,6,4,5] => [1,2,3,5,7,6,4] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,1,3,2,4] => [1,2,3,7,5,6,4] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7)
[7,6,5,1,3,4,2] => [1,2,3,7,5,4,6] => [1,2,3,6,7,5,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,1,4,2,3] => [1,2,3,7,4,6,5] => [1,2,3,6,5,7,4] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,1,4,3,2] => [1,2,3,7,4,5,6] => [1,2,3,5,6,7,4] => ([(3,6),(4,6),(5,6)],7)
[7,6,5,2,1,3,4] => [1,2,3,6,7,5,4] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,2,1,4,3] => [1,2,3,6,7,4,5] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7)
[7,6,5,2,3,1,4] => [1,2,3,6,5,7,4] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,2,3,4,1] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[7,6,5,2,4,1,3] => [1,2,3,6,4,7,5] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,2,4,3,1] => [1,2,3,6,4,5,7] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7)
[7,6,5,3,1,2,4] => [1,2,3,5,7,6,4] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,3,1,4,2] => [1,2,3,5,7,4,6] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,5,3,2,1,4] => [1,2,3,5,6,7,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[7,6,5,3,2,4,1] => [1,2,3,5,6,4,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,6,5,3,4,1,2] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[7,6,5,3,4,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[7,6,5,4,1,2,3] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[7,6,5,4,1,3,2] => [1,2,3,4,7,5,6] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7)
[7,6,5,4,2,1,3] => [1,2,3,4,6,7,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[7,6,5,4,2,3,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[7,6,5,4,3,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,8,6,5,4,3,2,1] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => ([(6,7)],8)
[8,6,7,5,4,3,2,1] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[6,7,8,5,4,3,2,1] => [3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[7,6,5,8,4,3,2,1] => [2,3,4,1,5,6,7,8] => [4,1,2,3,5,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[6,7,5,8,4,3,2,1] => [3,2,4,1,5,6,7,8] => [4,1,3,2,5,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,4,3,2,1] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,4,5,3,2,1] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => ([(6,7)],8)
[8,6,7,4,5,3,2,1] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8)
[7,6,5,4,8,3,2,1] => [2,3,4,5,1,6,7,8] => [5,1,2,3,4,6,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,7,4,5,8,3,2,1] => [3,2,5,4,1,6,7,8] => [5,4,1,3,2,6,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,8,3,2,1] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7,8] => ([(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,6,3,4,2,1] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8)
[7,6,5,8,3,4,2,1] => [2,3,4,1,6,5,7,8] => [4,1,2,3,6,5,7,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[5,6,7,8,3,4,2,1] => [4,3,2,1,6,5,7,8] => [4,3,2,1,6,5,7,8] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,3,4,6,2,1] => [1,2,4,6,5,3,7,8] => [1,2,6,5,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,3,8,2,1] => [2,3,4,5,6,1,7,8] => [6,1,2,3,4,5,7,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,5,6,7,8,2,1] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7,8] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,4,2,3,1] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => ([(6,7)],8)
[8,6,7,5,4,2,3,1] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8)
[7,6,5,8,4,2,3,1] => [2,3,4,1,5,7,6,8] => [4,1,2,3,5,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[6,7,5,8,4,2,3,1] => [3,2,4,1,5,7,6,8] => [4,1,3,2,5,7,6,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,4,5,2,3,1] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8)
[8,6,7,4,5,2,3,1] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => ([(2,7),(3,6),(4,5)],8)
[7,6,8,4,5,2,3,1] => [2,3,1,5,4,7,6,8] => [3,1,2,5,4,7,6,8] => ([(1,4),(2,3),(5,7),(6,7)],8)
[6,7,8,4,5,2,3,1] => [3,2,1,5,4,7,6,8] => [3,2,1,5,4,7,6,8] => ([(1,4),(2,3),(5,6),(5,7),(6,7)],8)
[4,5,6,7,8,2,3,1] => [5,4,3,2,1,7,6,8] => [5,4,3,2,1,7,6,8] => ([(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,7,3,2,4,1] => [1,3,4,2,6,7,5,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[7,6,5,8,3,2,4,1] => [2,3,4,1,6,7,5,8] => [4,1,2,3,7,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,7,8,5,2,3,4,1] => [3,2,1,4,7,6,5,8] => [3,2,1,4,7,6,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[8,5,6,7,2,3,4,1] => [1,4,3,2,7,6,5,8] => [1,4,3,2,7,6,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[7,6,5,8,2,3,4,1] => [2,3,4,1,7,6,5,8] => [4,1,2,3,7,6,5,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[5,6,7,8,2,3,4,1] => [4,3,2,1,7,6,5,8] => [4,3,2,1,7,6,5,8] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,4,3,2,5,1] => [2,3,1,5,6,7,4,8] => [3,1,2,7,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[8,6,5,4,2,3,7,1] => [1,3,4,5,7,6,2,8] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,3,2,4,7,1] => [1,3,4,6,7,5,2,8] => [1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,3,2,8,1] => [2,3,4,5,6,7,1,8] => [7,1,2,3,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,5,4,3,2,8,1] => [3,2,4,5,6,7,1,8] => [7,1,3,2,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,7,3,2,8,1] => [3,5,4,2,6,7,1,8] => [7,1,5,4,2,3,6,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,7,2,8,1] => [4,5,3,6,2,7,1,8] => [7,1,6,2,5,3,4,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,2,3,8,1] => [2,3,4,5,7,6,1,8] => [7,6,1,2,3,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,2,4,5,8,1] => [3,2,6,7,5,4,1,8] => [7,5,4,1,3,2,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,3,4,5,8,1] => [3,2,7,6,5,4,1,8] => [7,6,5,4,1,3,2,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,3,4,7,8,1] => [3,4,7,6,5,2,1,8] => [7,6,5,2,1,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,6,7,8,1] => [4,5,6,7,3,2,1,8] => [7,3,2,1,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,6,7,8,1] => [4,7,6,5,3,2,1,8] => [7,6,5,3,2,1,4,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,5,6,7,8,1] => [5,6,7,4,3,2,1,8] => [7,4,3,2,1,5,6,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,5,6,7,8,1] => [5,7,6,4,3,2,1,8] => [7,6,4,3,2,1,5,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,5,6,7,8,1] => [6,7,5,4,3,2,1,8] => [7,5,4,3,2,1,6,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,7,8,1] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => ([(6,7)],8)
[7,8,6,5,4,3,1,2] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => ([(4,7),(5,6)],8)
[7,6,5,8,4,3,1,2] => [2,3,4,1,5,6,8,7] => [4,1,2,3,5,6,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[5,6,7,8,4,3,1,2] => [4,3,2,1,5,6,8,7] => [4,3,2,1,5,6,8,7] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,5,6,3,1,2] => [2,1,5,4,3,6,8,7] => [2,1,5,4,3,6,8,7] => ([(1,4),(2,3),(5,6),(5,7),(6,7)],8)
[4,5,6,7,8,3,1,2] => [5,4,3,2,1,6,8,7] => [5,4,3,2,1,6,8,7] => ([(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => ([(0,7),(1,6),(2,5),(3,4)],8)
[7,6,5,8,3,4,1,2] => [2,3,4,1,6,5,8,7] => [4,1,2,3,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8)
[6,7,5,8,3,4,1,2] => [3,2,4,1,6,5,8,7] => [4,1,3,2,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,8,3,4,1,2] => [2,4,3,1,6,5,8,7] => [4,3,1,2,6,5,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,8,3,4,1,2] => [3,4,2,1,6,5,8,7] => [4,2,1,3,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,3,4,1,2] => [4,3,2,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,3,6,1,2] => [2,1,4,5,6,3,8,7] => [2,1,6,3,4,5,8,7] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8)
[7,8,4,5,3,6,1,2] => [2,1,5,4,6,3,8,7] => [2,1,6,3,5,4,8,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,3,4,6,1,2] => [2,1,4,6,5,3,8,7] => [2,1,6,5,3,4,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,3,5,6,1,2] => [2,1,5,6,4,3,8,7] => [2,1,6,4,3,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,5,6,1,2] => [2,1,6,5,4,3,8,7] => [2,1,6,5,4,3,8,7] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,3,8,1,2] => [2,3,4,5,6,1,8,7] => [6,1,2,3,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,4,5,3,8,1,2] => [3,2,5,4,6,1,8,7] => [6,1,3,2,5,4,8,7] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,6,4,7,3,8,1,2] => [4,3,5,2,6,1,8,7] => [6,1,5,2,4,3,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,3,8,1,2] => [5,4,3,2,6,1,8,7] => [6,1,5,4,3,2,8,7] => ([(0,7),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,3,4,8,1,2] => [2,4,3,6,5,1,8,7] => [6,5,1,2,4,3,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,4,5,8,1,2] => [2,3,6,5,4,1,8,7] => [6,5,4,1,2,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,3,7,8,1,2] => [4,3,5,6,2,1,8,7] => [6,2,1,4,3,5,8,7] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,6,3,7,8,1,2] => [4,5,3,6,2,1,8,7] => [6,2,1,5,3,4,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,3,7,8,1,2] => [5,4,3,6,2,1,8,7] => [6,2,1,5,4,3,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,7,8,1,2] => [4,3,6,5,2,1,8,7] => [6,5,2,1,4,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,5,7,8,1,2] => [3,6,5,4,2,1,8,7] => [6,5,4,2,1,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,7,8,1,2] => [4,5,6,3,2,1,8,7] => [6,3,2,1,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,6,7,8,1,2] => [6,5,4,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,4,2,1,3] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[7,6,8,5,4,2,1,3] => [2,3,1,4,5,7,8,6] => [3,1,2,4,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[7,6,5,8,4,2,1,3] => [2,3,4,1,5,7,8,6] => [4,1,2,3,5,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[5,6,7,8,4,2,1,3] => [4,3,2,1,5,7,8,6] => [4,3,2,1,5,8,6,7] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,8,2,1,3] => [5,4,3,2,1,7,8,6] => [5,4,3,2,1,8,6,7] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,4,1,2,3] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,8,7,6] => ([(5,6),(5,7),(6,7)],8)
[6,7,8,5,4,1,2,3] => [3,2,1,4,5,8,7,6] => [3,2,1,4,5,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[7,6,5,8,4,1,2,3] => [2,3,4,1,5,8,7,6] => [4,1,2,3,5,8,7,6] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[7,6,5,4,8,1,2,3] => [2,3,4,5,1,8,7,6] => [5,1,2,3,4,8,7,6] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[6,5,7,4,8,1,2,3] => [3,4,2,5,1,8,7,6] => [5,1,4,2,3,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,4,8,1,2,3] => [4,3,2,5,1,8,7,6] => [5,1,4,3,2,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,5,8,1,2,3] => [2,3,5,4,1,8,7,6] => [5,4,1,2,3,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,5,8,1,2,3] => [3,2,5,4,1,8,7,6] => [5,4,1,3,2,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,6,8,1,2,3] => [2,4,5,3,1,8,7,6] => [5,3,1,2,4,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,6,8,1,2,3] => [2,5,4,3,1,8,7,6] => [5,4,3,1,2,8,7,6] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,7,8,1,2,3] => [3,4,5,2,1,8,7,6] => [5,2,1,3,4,8,7,6] => ([(0,7),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,4,6,7,8,1,2,3] => [4,5,3,2,1,8,7,6] => [5,3,2,1,4,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,8,1,2,3] => [5,4,3,2,1,8,7,6] => [5,4,3,2,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,3,2,1,4] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[7,8,6,5,3,2,1,4] => [2,1,3,4,6,7,8,5] => [2,1,3,4,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[8,6,7,5,3,2,1,4] => [1,3,2,4,6,7,8,5] => [1,3,2,4,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[7,6,8,5,3,2,1,4] => [2,3,1,4,6,7,8,5] => [3,1,2,4,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,7,8,5,3,2,1,4] => [3,2,1,4,6,7,8,5] => [3,2,1,4,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[8,7,5,6,3,2,1,4] => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[7,8,5,6,3,2,1,4] => [2,1,4,3,6,7,8,5] => [2,1,4,3,8,5,6,7] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8)
[8,6,5,7,3,2,1,4] => [1,3,4,2,6,7,8,5] => [1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[8,5,6,7,3,2,1,4] => [1,4,3,2,6,7,8,5] => [1,4,3,2,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[7,6,5,8,3,2,1,4] => [2,3,4,1,6,7,8,5] => [4,1,2,3,8,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)
[6,7,5,8,3,2,1,4] => [3,2,4,1,6,7,8,5] => [4,1,3,2,8,5,6,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[7,5,6,8,3,2,1,4] => [2,4,3,1,6,7,8,5] => [4,3,1,2,8,5,6,7] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[6,5,7,8,3,2,1,4] => [3,4,2,1,6,7,8,5] => [4,2,1,3,8,5,6,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[5,6,7,8,3,2,1,4] => [4,3,2,1,6,7,8,5] => [4,3,2,1,8,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[8,7,6,5,2,3,1,4] => [1,2,3,4,7,6,8,5] => [1,2,3,4,8,5,7,6] => ([(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,2,3,1,4] => [2,1,3,4,7,6,8,5] => [2,1,3,4,8,5,7,6] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,2,3,1,4] => [1,3,2,4,7,6,8,5] => [1,3,2,4,8,5,7,6] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,2,3,1,4] => [2,3,1,4,7,6,8,5] => [3,1,2,4,8,5,7,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[7,8,5,6,2,3,1,4] => [2,1,4,3,7,6,8,5] => [2,1,4,3,8,5,7,6] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,7,2,3,1,4] => [1,3,4,2,7,6,8,5] => [1,4,2,3,8,5,7,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[7,6,5,8,2,3,1,4] => [2,3,4,1,7,6,8,5] => [4,1,2,3,8,5,7,6] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[6,7,5,8,2,3,1,4] => [3,2,4,1,7,6,8,5] => [4,1,3,2,8,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[7,5,6,8,2,3,1,4] => [2,4,3,1,7,6,8,5] => [4,3,1,2,8,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[6,5,7,8,2,3,1,4] => [3,4,2,1,7,6,8,5] => [4,2,1,3,8,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[5,6,7,8,2,3,1,4] => [4,3,2,1,7,6,8,5] => [4,3,2,1,8,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[7,8,5,6,3,1,2,4] => [2,1,4,3,6,8,7,5] => [2,1,4,3,8,7,5,6] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,3,1,2,4] => [2,3,4,1,6,8,7,5] => [4,1,2,3,8,7,5,6] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[7,5,6,8,3,1,2,4] => [2,4,3,1,6,8,7,5] => [4,3,1,2,8,7,5,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)
[6,5,7,8,3,1,2,4] => [3,4,2,1,6,8,7,5] => [4,2,1,3,8,7,5,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[5,6,7,8,3,1,2,4] => [4,3,2,1,6,8,7,5] => [4,3,2,1,8,7,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)
[8,7,6,5,2,1,3,4] => [1,2,3,4,7,8,6,5] => [1,2,3,4,8,6,5,7] => ([(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,2,1,3,4] => [2,1,3,4,7,8,6,5] => [2,1,3,4,8,6,5,7] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,2,1,3,4] => [2,1,4,3,7,8,6,5] => [2,1,4,3,8,6,5,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,2,1,3,4] => [2,3,4,1,7,8,6,5] => [4,1,2,3,8,6,5,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[6,7,5,8,2,1,3,4] => [3,2,4,1,7,8,6,5] => [4,1,3,2,8,6,5,7] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[7,5,6,8,2,1,3,4] => [2,4,3,1,7,8,6,5] => [4,3,1,2,8,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[6,5,7,8,2,1,3,4] => [3,4,2,1,7,8,6,5] => [4,2,1,3,8,6,5,7] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[5,6,7,8,2,1,3,4] => [4,3,2,1,7,8,6,5] => [4,3,2,1,8,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[8,7,6,5,1,2,3,4] => [1,2,3,4,8,7,6,5] => [1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,5,1,2,3,4] => [2,1,3,4,8,7,6,5] => [2,1,3,4,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,5,1,2,3,4] => [1,3,2,4,8,7,6,5] => [1,3,2,4,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,5,1,2,3,4] => [2,3,1,4,8,7,6,5] => [3,1,2,4,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,5,1,2,3,4] => [3,2,1,4,8,7,6,5] => [3,2,1,4,8,7,6,5] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,6,1,2,3,4] => [1,2,4,3,8,7,6,5] => [1,2,4,3,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,1,2,3,4] => [2,1,4,3,8,7,6,5] => [2,1,4,3,8,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,7,1,2,3,4] => [1,3,4,2,8,7,6,5] => [1,4,2,3,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,7,1,2,3,4] => [1,4,3,2,8,7,6,5] => [1,4,3,2,8,7,6,5] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,1,2,3,4] => [2,3,4,1,8,7,6,5] => [4,1,2,3,8,7,6,5] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[6,7,5,8,1,2,3,4] => [3,2,4,1,8,7,6,5] => [4,1,3,2,8,7,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[7,5,6,8,1,2,3,4] => [2,4,3,1,8,7,6,5] => [4,3,1,2,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)
[6,5,7,8,1,2,3,4] => [3,4,2,1,8,7,6,5] => [4,2,1,3,8,7,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[5,6,7,8,1,2,3,4] => [4,3,2,1,8,7,6,5] => [4,3,2,1,8,7,6,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[8,7,6,4,3,2,1,5] => [1,2,3,5,6,7,8,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,7,8,4,3,2,1,5] => [3,2,1,5,6,7,8,4] => [3,2,1,8,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[8,7,6,3,4,2,1,5] => [1,2,3,6,5,7,8,4] => [1,2,3,8,4,6,5,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,4,2,1,5] => [3,2,1,6,5,7,8,4] => [3,2,1,8,4,6,5,7] => ([(0,7),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[8,7,6,4,2,3,1,5] => [1,2,3,5,7,6,8,4] => [1,2,3,8,4,5,7,6] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,4,2,3,1,5] => [3,2,1,5,7,6,8,4] => [3,2,1,8,4,5,7,6] => ([(0,7),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[8,7,6,3,2,4,1,5] => [1,2,3,6,7,5,8,4] => [1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,2,4,1,5] => [3,2,1,6,7,5,8,4] => [3,2,1,8,4,7,5,6] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,2,3,4,1,5] => [1,2,3,7,6,5,8,4] => [1,2,3,8,4,7,6,5] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,3,4,1,5] => [3,2,1,7,6,5,8,4] => [3,2,1,8,4,7,6,5] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,4,3,1,2,5] => [1,2,3,5,6,8,7,4] => [1,2,3,8,7,4,5,6] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,4,3,1,2,5] => [3,2,1,5,6,8,7,4] => [3,2,1,8,7,4,5,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,4,1,2,5] => [1,2,3,6,5,8,7,4] => [1,2,3,8,7,4,6,5] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,4,1,2,5] => [3,2,1,6,5,8,7,4] => [3,2,1,8,7,4,6,5] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,4,2,1,3,5] => [1,2,3,5,7,8,6,4] => [1,2,3,8,6,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,4,2,1,3,5] => [3,2,1,5,7,8,6,4] => [3,2,1,8,6,4,5,7] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,4,1,2,3,5] => [1,2,3,5,8,7,6,4] => [1,2,3,8,7,6,4,5] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,2,1,4,5] => [1,2,3,6,7,8,5,4] => [1,2,3,8,5,4,6,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,2,1,4,5] => [3,2,1,6,7,8,5,4] => [3,2,1,8,5,4,6,7] => ([(0,7),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[8,7,6,2,3,1,4,5] => [1,2,3,7,6,8,5,4] => [1,2,3,8,5,4,7,6] => ([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,7,8,2,3,1,4,5] => [3,2,1,7,6,8,5,4] => [3,2,1,8,5,4,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,7,6,3,1,2,4,5] => [1,2,3,6,8,7,5,4] => [1,2,3,8,7,5,4,6] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,2,1,3,4,5] => [1,2,3,7,8,6,5,4] => [1,2,3,8,6,5,4,7] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,2,3,4,5] => [1,2,3,8,7,6,5,4] => [1,2,3,8,7,6,5,4] => ([(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,1,2,3,4,5] => [2,1,3,8,7,6,5,4] => [2,1,3,8,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,1,2,3,4,5] => [1,3,2,8,7,6,5,4] => [1,3,2,8,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,1,2,3,4,5] => [2,3,1,8,7,6,5,4] => [3,1,2,8,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,2,3,4,5] => [3,2,1,8,7,6,5,4] => [3,2,1,8,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,4,3,2,1,6] => [1,2,4,5,6,7,8,3] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,8,5,4,3,2,1,6] => [2,1,4,5,6,7,8,3] => [2,1,8,3,4,5,6,7] => ([(0,1),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,4,5,3,2,1,6] => [1,2,5,4,6,7,8,3] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,3,5,2,1,6] => [1,2,5,6,4,7,8,3] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,4,5,2,1,6] => [1,2,6,5,4,7,8,3] => [1,2,8,3,6,5,4,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,5,2,3,1,6] => [2,1,5,4,7,6,8,3] => [2,1,8,3,5,4,7,6] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,3,4,2,5,1,6] => [2,1,6,5,7,4,8,3] => [2,1,8,3,7,4,6,5] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,3,4,1,2,6] => [2,1,4,6,5,8,7,3] => [2,1,8,7,3,4,6,5] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,1,2,3,6] => [2,1,4,5,8,7,6,3] => [2,1,8,7,6,3,4,5] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,3,2,1,4,6] => [1,2,4,6,7,8,5,3] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,1,2,3,4,6] => [1,2,4,8,7,6,5,3] => [1,2,8,7,6,5,3,4] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,1,2,3,4,6] => [2,1,4,8,7,6,5,3] => [2,1,8,7,6,5,3,4] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,3,2,1,5,6] => [1,2,5,6,7,8,4,3] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,2,1,5,6] => [2,1,6,5,7,8,4,3] => [2,1,8,4,3,6,5,7] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,3,2,4,1,5,6] => [2,1,6,7,5,8,4,3] => [2,1,8,4,3,7,5,6] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,3,4,1,5,6] => [2,1,7,6,5,8,4,3] => [2,1,8,4,3,7,6,5] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,1,2,5,6] => [2,1,6,5,8,7,4,3] => [2,1,8,7,4,3,6,5] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,2,1,4,5,6] => [1,2,6,7,8,5,4,3] => [1,2,8,5,4,3,6,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,2,1,4,5,6] => [2,1,6,7,8,5,4,3] => [2,1,8,5,4,3,6,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,3,4,5,6] => [2,1,8,7,6,5,4,3] => [2,1,8,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,4,3,2,1,7] => [1,3,4,5,6,7,8,2] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,6,4,3,2,1,7] => [1,4,3,5,6,7,8,2] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,6,3,2,1,7] => [1,4,5,3,6,7,8,2] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,4,3,1,2,7] => [1,3,4,5,6,8,7,2] => [1,8,7,2,3,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,4,2,1,3,7] => [1,3,4,5,7,8,6,2] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,2,3,1,4,7] => [1,3,4,7,6,8,5,2] => [1,8,5,2,3,4,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,1,2,3,4,7] => [1,3,4,8,7,6,5,2] => [1,8,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,1,2,3,4,7] => [1,4,3,8,7,6,5,2] => [1,8,7,6,5,2,4,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,3,2,1,5,7] => [1,3,5,6,7,8,4,2] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,4,2,1,5,7] => [1,3,6,5,7,8,4,2] => [1,8,4,2,3,6,5,7] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,2,1,3,5,7] => [1,3,5,7,8,6,4,2] => [1,8,6,4,2,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,1,3,4,6,7] => [1,4,7,8,6,5,3,2] => [1,8,6,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,2,3,4,6,7] => [1,4,8,7,6,5,3,2] => [1,8,7,6,5,3,2,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,1,5,6,7] => [1,5,6,7,8,4,3,2] => [1,8,4,3,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,4,1,5,6,7] => [1,7,6,5,8,4,3,2] => [1,8,4,3,2,7,6,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,3,5,6,7] => [1,5,8,7,6,4,3,2] => [1,8,7,6,4,3,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,1,4,5,6,7] => [1,6,7,8,5,4,3,2] => [1,8,5,4,3,2,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,1,4,5,6,7] => [1,7,6,8,5,4,3,2] => [1,8,5,4,3,2,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,2,4,5,6,7] => [1,6,8,7,5,4,3,2] => [1,8,7,5,4,3,2,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,3,4,5,6,7] => [1,7,8,6,5,4,3,2] => [1,8,6,5,4,3,2,7] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [1,8,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,8,1] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,5,4,3,2,1,8] => [3,2,4,5,6,7,8,1] => [8,1,3,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,4,3,2,1,8] => [3,4,2,5,6,7,8,1] => [8,1,4,2,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,4,3,2,1,8] => [4,3,2,5,6,7,8,1] => [8,1,4,3,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,6,3,2,1,8] => [2,5,4,3,6,7,8,1] => [8,1,2,5,4,3,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,7,3,2,1,8] => [3,4,5,2,6,7,8,1] => [8,1,5,2,3,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,3,2,1,8] => [5,4,3,2,6,7,8,1] => [8,1,5,4,3,2,6,7] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,3,4,2,1,8] => [2,4,3,6,5,7,8,1] => [8,1,2,4,3,6,5,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,7,5,4,2,3,1,8] => [3,2,4,5,7,6,8,1] => [8,1,3,2,4,5,7,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,6,4,5,2,3,1,8] => [2,3,5,4,7,6,8,1] => [8,1,2,3,5,4,7,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,7,4,5,2,3,1,8] => [3,2,5,4,7,6,8,1] => [8,1,3,2,5,4,7,6] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,4,7,2,3,1,8] => [4,3,5,2,7,6,8,1] => [8,1,5,2,4,3,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,2,3,1,8] => [5,4,3,2,7,6,8,1] => [8,1,5,4,3,2,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,3,2,4,1,8] => [3,4,2,6,7,5,8,1] => [8,1,4,2,3,7,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,6,5,2,3,4,1,8] => [2,3,4,7,6,5,8,1] => [8,1,2,3,4,7,6,5] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,2,3,4,1,8] => [3,2,4,7,6,5,8,1] => [8,1,3,2,4,7,6,5] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,2,3,4,1,8] => [2,4,3,7,6,5,8,1] => [8,1,2,4,3,7,6,5] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,2,3,4,1,8] => [3,4,2,7,6,5,8,1] => [8,1,4,2,3,7,6,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,6,7,2,3,4,1,8] => [4,3,2,7,6,5,8,1] => [8,1,4,3,2,7,6,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,4,2,5,1,8] => [3,2,6,5,7,4,8,1] => [8,1,3,2,7,4,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,3,2,6,1,8] => [2,5,4,6,7,3,8,1] => [8,1,2,7,3,5,4,6] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,2,7,1,8] => [4,3,6,5,7,2,8,1] => [8,1,7,2,4,3,6,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,2,7,1,8] => [5,4,6,3,7,2,8,1] => [8,1,7,2,6,3,5,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,6,7,1,8] => [4,5,6,7,3,2,8,1] => [8,1,7,3,2,4,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,6,7,1,8] => [6,5,7,4,3,2,8,1] => [8,1,7,4,3,2,6,5] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,5,6,7,1,8] => [6,7,5,4,3,2,8,1] => [8,1,7,5,4,3,2,6] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,7,1,8] => [7,6,5,4,3,2,8,1] => [8,1,7,6,5,4,3,2] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,3,1,2,8] => [2,3,4,5,6,8,7,1] => [8,7,1,2,3,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,4,3,1,2,8] => [2,4,3,5,6,8,7,1] => [8,7,1,2,4,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,6,3,1,2,8] => [2,5,4,3,6,8,7,1] => [8,7,1,2,5,4,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,3,4,1,2,8] => [2,4,3,6,5,8,7,1] => [8,7,1,2,4,3,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,7,1,2,8] => [4,3,6,5,2,8,7,1] => [8,7,1,6,5,2,4,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,4,2,1,3,8] => [3,4,2,5,7,8,6,1] => [8,6,1,4,2,3,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,6,2,1,3,8] => [2,4,5,3,7,8,6,1] => [8,6,1,2,5,3,4,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,6,2,1,3,8] => [2,5,4,3,7,8,6,1] => [8,6,1,2,5,4,3,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,2,1,3,8] => [5,4,3,2,7,8,6,1] => [8,6,1,5,4,3,2,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,6,1,2,3,8] => [2,5,4,3,8,7,6,1] => [8,7,6,1,2,5,4,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,1,2,3,8] => [5,4,3,2,8,7,6,1] => [8,7,6,1,5,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,2,3,4,8] => [2,3,4,8,7,6,5,1] => [8,7,6,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,1,2,3,4,8] => [3,2,4,8,7,6,5,1] => [8,7,6,5,1,3,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,1,2,3,4,8] => [2,4,3,8,7,6,5,1] => [8,7,6,5,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,1,2,3,4,8] => [3,4,2,8,7,6,5,1] => [8,7,6,5,1,4,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,1,2,3,4,8] => [4,3,2,8,7,6,5,1] => [8,7,6,5,1,4,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,3,2,1,5,8] => [2,3,5,6,7,8,4,1] => [8,4,1,2,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,3,1,2,5,8] => [2,3,5,6,8,7,4,1] => [8,7,4,1,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,1,2,4,6,8] => [2,4,6,8,7,5,3,1] => [8,7,5,3,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,3,4,6,8] => [2,4,8,7,6,5,3,1] => [8,7,6,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,2,4,5,6,8] => [2,6,8,7,5,4,3,1] => [8,7,5,4,3,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,3,4,5,6,8] => [2,7,8,6,5,4,3,1] => [8,6,5,4,3,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,6,1,7,8] => [4,5,6,7,3,8,2,1] => [8,2,1,7,3,4,5,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,6,1,7,8] => [5,4,6,7,3,8,2,1] => [8,2,1,7,3,5,4,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,5,6,1,7,8] => [5,7,6,4,3,8,2,1] => [8,2,1,7,6,4,3,5] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,1,7,8] => [7,6,5,4,3,8,2,1] => [8,2,1,7,6,5,4,3] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,1,2,7,8] => [4,3,6,5,8,7,2,1] => [8,7,2,1,4,3,6,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,1,2,3,7,8] => [3,4,5,8,7,6,2,1] => [8,7,6,2,1,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,2,3,4,7,8] => [3,4,8,7,6,5,2,1] => [8,7,6,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,2,1,5,7,8] => [3,5,6,7,8,4,2,1] => [8,4,2,1,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,2,5,7,8] => [3,5,6,8,7,4,2,1] => [8,7,4,2,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,2,3,5,7,8] => [3,5,8,7,6,4,2,1] => [8,7,6,4,2,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,1,4,5,7,8] => [3,7,6,8,5,4,2,1] => [8,5,4,2,1,3,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,1,6,7,8] => [4,5,6,7,8,3,2,1] => [8,3,2,1,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,1,6,7,8] => [4,7,6,5,8,3,2,1] => [8,3,2,1,4,7,6,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,1,6,7,8] => [6,5,7,4,8,3,2,1] => [8,3,2,1,7,4,6,5] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,1,6,7,8] => [7,6,5,4,8,3,2,1] => [8,3,2,1,7,6,5,4] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,3,4,6,7,8] => [4,8,7,6,5,3,2,1] => [8,7,6,5,3,2,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,5,6,7,8] => [5,6,7,8,4,3,2,1] => [8,4,3,2,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,1,5,6,7,8] => [6,5,7,8,4,3,2,1] => [8,4,3,2,1,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,5,6,7,8] => [7,6,5,8,4,3,2,1] => [8,4,3,2,1,7,6,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,5,6,7,8] => [5,8,7,6,4,3,2,1] => [8,7,6,4,3,2,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,4,5,6,7,8] => [6,7,8,5,4,3,2,1] => [8,5,4,3,2,1,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,4,5,6,7,8] => [7,6,8,5,4,3,2,1] => [8,5,4,3,2,1,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,5,6,7,8] => [7,8,6,5,4,3,2,1] => [8,6,5,4,3,2,1,7] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,5,4,3,2,1] => [3,1,2,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => ([(5,7),(6,7)],8)
[5,8,7,6,4,3,2,1] => [4,1,2,3,5,6,7,8] => [2,3,4,1,5,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[6,5,8,7,4,3,2,1] => [3,4,1,2,5,6,7,8] => [2,4,1,3,5,6,7,8] => ([(4,7),(5,6),(6,7)],8)
[4,8,7,6,5,3,2,1] => [5,1,2,3,4,6,7,8] => [2,3,4,5,1,6,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[4,6,8,7,5,3,2,1] => [5,3,1,2,4,6,7,8] => [2,4,5,3,1,6,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,6,5,4,2,1] => [6,1,2,3,4,5,7,8] => [2,3,4,5,6,1,7,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,8,7,6,4,2,1] => [6,4,1,2,3,5,7,8] => [2,3,5,6,4,1,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,7,8,4,2,1] => [6,4,3,2,1,5,7,8] => [5,6,4,3,2,1,7,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,8,7,6,2,1] => [4,5,6,1,2,3,7,8] => [2,3,6,1,4,5,7,8] => ([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[4,5,3,7,8,6,2,1] => [5,4,6,2,1,3,7,8] => [3,6,2,1,5,4,7,8] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,5,6,3,8,7,2,1] => [5,4,3,6,1,2,7,8] => [2,6,1,5,4,3,7,8] => ([(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,8,7,2,1] => [5,6,3,4,1,2,7,8] => [2,4,1,6,3,5,7,8] => ([(2,7),(3,6),(4,5),(4,6),(5,7)],8)
[4,5,3,6,8,7,2,1] => [5,4,6,3,1,2,7,8] => [2,6,3,1,5,4,7,8] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,4,3,8,2,1] => [4,2,3,5,6,1,7,8] => [6,1,3,4,2,5,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,6,5,4,3,1] => [7,1,2,3,4,5,6,8] => [2,3,4,5,6,7,1,8] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,7,8,6,5,4,3,1] => [7,2,1,3,4,5,6,8] => [3,4,5,6,7,2,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,7,5,4,3,1] => [7,3,1,2,4,5,6,8] => [2,4,5,6,7,3,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,7,8,4,3,1] => [7,4,3,2,1,5,6,8] => [5,6,7,4,3,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,6,5,3,1] => [7,5,1,2,3,4,6,8] => [2,3,4,6,7,5,1,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,8,7,5,3,1] => [7,5,3,1,2,4,6,8] => [2,4,6,7,5,3,1,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,7,6,5,4,1] => [6,7,1,2,3,4,5,8] => [2,3,4,5,7,1,6,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[2,3,5,6,8,7,4,1] => [7,6,4,3,1,2,5,8] => [2,5,7,6,4,3,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,6,7,8,4,1] => [7,6,4,3,2,1,5,8] => [5,7,6,4,3,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,8,7,6,5,1] => [5,6,7,1,2,3,4,8] => [2,3,4,7,1,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[3,4,2,8,7,6,5,1] => [6,5,7,1,2,3,4,8] => [2,3,4,7,1,6,5,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[3,2,4,8,7,6,5,1] => [6,7,5,1,2,3,4,8] => [2,3,4,7,5,1,6,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,4,8,7,6,5,1] => [7,6,5,1,2,3,4,8] => [2,3,4,7,6,5,1,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,8,7,6,1] => [4,5,6,7,1,2,3,8] => [2,3,7,1,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[2,5,4,3,7,8,6,1] => [7,4,5,6,2,1,3,8] => [3,6,2,1,5,7,4,8] => ([(1,6),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,5,3,7,8,6,1] => [7,5,4,6,2,1,3,8] => [3,6,2,1,7,5,4,8] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,8,7,6,1] => [7,6,5,4,1,2,3,8] => [2,3,7,6,5,4,1,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,8,7,1] => [7,6,5,4,3,1,2,8] => [2,7,6,5,4,3,1,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,7,2,8,1] => [5,6,3,4,2,7,1,8] => [7,1,4,2,6,3,5,8] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,6,5,7,4,8,1] => [6,7,3,4,2,5,1,8] => [5,1,4,2,7,3,6,8] => ([(1,7),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,6,7,5,8,1] => [5,6,7,3,2,4,1,8] => [4,1,7,3,2,5,6,8] => ([(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,2,6,7,5,8,1] => [6,5,7,3,2,4,1,8] => [4,1,7,3,2,6,5,8] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,4,7,6,5,8,1] => [6,7,5,2,3,4,1,8] => [4,1,3,7,5,2,6,8] => ([(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,3,2,7,6,8,1] => [4,5,6,7,2,3,1,8] => [3,1,7,2,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[4,3,5,2,7,6,8,1] => [5,6,4,7,2,3,1,8] => [3,1,7,2,6,4,5,8] => ([(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[3,2,5,4,7,6,8,1] => [6,7,4,5,2,3,1,8] => [3,1,5,2,7,4,6,8] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,5,6,3,7,8,1] => [7,5,4,3,6,2,1,8] => [6,2,1,7,5,4,3,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,5,4,7,8,1] => [7,6,3,4,5,2,1,8] => [5,2,1,4,7,6,3,8] => ([(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,3,6,5,7,8,1] => [7,5,6,3,4,2,1,8] => [4,2,1,6,3,7,5,8] => ([(1,6),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8)
[2,5,4,3,6,7,8,1] => [7,4,5,6,3,2,1,8] => [6,3,2,1,5,7,4,8] => ([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,5,4,6,7,8,1] => [7,6,4,5,3,2,1,8] => [5,3,2,1,7,6,4,8] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,7,6,5,4,3,2] => [8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,8,6,5,4,3,2] => [8,2,1,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,5,4,3,2] => [8,3,1,2,4,5,6,7] => [2,4,5,6,7,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,8,5,4,3,2] => [8,2,3,1,4,5,6,7] => [3,1,4,5,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,6,7,8,5,4,3,2] => [8,3,2,1,4,5,6,7] => [4,5,6,7,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,6,4,3,2] => [8,4,1,2,3,5,6,7] => [2,3,5,6,7,8,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,8,4,3,2] => [8,2,3,4,1,5,6,7] => [4,1,3,5,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,6,7,8,4,3,2] => [8,4,3,2,1,5,6,7] => [5,6,7,8,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,7,8,6,4,2] => [8,6,4,2,1,3,5,7] => [3,5,7,8,6,4,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,5,7,8,4,2] => [8,6,3,4,2,1,5,7] => [4,2,1,5,7,8,6,3] => ([(0,7),(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,5,6,7,8,4,2] => [8,6,4,3,2,1,5,7] => [5,7,8,6,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,8,7,6,5,2] => [8,5,6,1,2,3,4,7] => [2,3,4,6,1,7,8,5] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,4,3,7,6,8,5,2] => [8,5,6,2,3,1,4,7] => [3,1,4,6,2,7,8,5] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,5,7,8,6,2] => [8,6,5,4,2,1,3,7] => [3,7,8,6,5,4,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,4,3,8,7,2] => [8,4,3,5,6,1,2,7] => [2,6,1,5,7,8,4,3] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,6,5,8,7,2] => [8,5,6,3,4,1,2,7] => [2,4,1,6,3,7,8,5] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,5,6,8,7,2] => [8,6,5,4,3,1,2,7] => [2,7,8,6,5,4,3,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,5,6,7,8,2] => [8,6,5,4,3,2,1,7] => [7,8,6,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,6,5,4,3] => [7,8,1,2,3,4,5,6] => [2,3,4,5,6,8,1,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[2,1,6,7,8,5,4,3] => [7,8,3,2,1,4,5,6] => [4,5,6,8,3,2,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,8,6,4,3] => [7,8,4,2,1,3,5,6] => [3,5,6,8,4,2,1,7] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,5,8,7,4,3] => [7,8,3,4,1,2,5,6] => [2,4,1,5,6,8,3,7] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[2,1,5,6,7,8,4,3] => [7,8,4,3,2,1,5,6] => [5,6,8,4,3,2,1,7] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,8,7,6,5,3] => [7,8,5,1,2,3,4,6] => [2,3,4,6,8,5,1,7] => ([(0,7),(1,7),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,4,8,7,6,3] => [7,8,4,5,1,2,3,6] => [2,3,5,1,6,8,4,7] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,6,5,7,4,8,3] => [7,8,3,4,2,5,1,6] => [5,1,4,2,6,8,3,7] => ([(0,6),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,4,7,6,8,3] => [7,8,4,5,2,3,1,6] => [3,1,5,2,6,8,4,7] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,5,6,7,8,3] => [7,8,5,4,3,2,1,6] => [6,8,5,4,3,2,1,7] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,7,6,5,4,3] => [8,7,1,2,3,4,5,6] => [2,3,4,5,6,8,7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,7,8,5,4,3] => [8,7,3,2,1,4,5,6] => [4,5,6,8,7,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,8,7,6,4,3] => [8,7,4,1,2,3,5,6] => [2,3,5,6,8,7,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,6,7,8,4,3] => [8,7,4,3,2,1,5,6] => [5,6,8,7,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,8,7,6,5,3] => [8,7,5,1,2,3,4,6] => [2,3,4,6,8,7,5,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,7,6,5,4] => [6,7,8,1,2,3,4,5] => [2,3,4,5,8,1,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[3,2,1,6,8,7,5,4] => [6,7,8,3,1,2,4,5] => [2,4,5,8,3,1,6,7] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,6,8,5,4] => [6,7,8,2,3,1,4,5] => [3,1,4,5,8,2,6,7] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[3,2,1,6,7,8,5,4] => [6,7,8,3,2,1,4,5] => [4,5,8,3,2,1,6,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,5,7,8,6,4] => [6,7,8,4,2,1,3,5] => [3,5,8,4,2,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,5,8,7,4] => [6,7,8,3,4,1,2,5] => [2,4,1,5,8,3,6,7] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,1,7,6,5,8,4] => [6,7,8,2,3,4,1,5] => [4,1,3,5,8,2,6,7] => ([(0,6),(1,7),(2,5),(3,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,1,6,7,5,8,4] => [6,7,8,3,2,4,1,5] => [4,1,5,8,3,2,6,7] => ([(0,5),(1,5),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,5,7,6,8,4] => [6,7,8,4,2,3,1,5] => [3,1,5,8,4,2,6,7] => ([(0,6),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,5,7,8,4] => [6,7,8,3,4,2,1,5] => [4,2,1,5,8,3,6,7] => ([(0,5),(1,5),(2,6),(3,4),(3,7),(4,7),(5,6),(6,7)],8)
[3,2,1,5,6,7,8,4] => [6,7,8,4,3,2,1,5] => [5,8,4,3,2,1,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,8,7,6,5,4] => [7,6,8,1,2,3,4,5] => [2,3,4,5,8,1,7,6] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,3,2,8,7,6,5,4] => [8,6,7,1,2,3,4,5] => [2,3,4,5,7,1,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[2,1,3,8,7,6,5,4] => [7,8,6,1,2,3,4,5] => [2,3,4,5,8,6,1,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,3,8,7,6,5,4] => [8,7,6,1,2,3,4,5] => [2,3,4,5,8,7,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,8,6,5,4] => [8,7,6,2,1,3,4,5] => [3,4,5,8,7,6,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,7,8,5,4] => [8,7,6,3,2,1,4,5] => [4,5,8,7,6,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,5,8,7,6,4] => [8,7,6,4,1,2,3,5] => [2,3,5,8,7,6,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,5,7,8,6,4] => [8,7,6,4,2,1,3,5] => [3,5,8,7,6,4,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,5,8,7,4] => [8,7,6,3,4,1,2,5] => [2,4,1,5,8,7,6,3] => ([(0,3),(1,7),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,5,6,8,7,4] => [8,7,6,4,3,1,2,5] => [2,5,8,7,6,4,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,6,5,8,4] => [8,7,6,2,3,4,1,5] => [4,1,3,5,8,7,6,2] => ([(0,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,3,6,7,5,8,4] => [8,7,6,3,2,4,1,5] => [4,1,5,8,7,6,3,2] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,5,7,8,4] => [8,7,6,3,4,2,1,5] => [4,2,1,5,8,7,6,3] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,3,5,6,7,8,4] => [8,7,6,4,3,2,1,5] => [5,8,7,6,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,8,7,6,5] => [5,6,7,8,1,2,3,4] => [2,3,4,8,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[4,3,2,1,7,8,6,5] => [5,6,7,8,2,1,3,4] => [3,4,8,2,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,2,1,6,8,7,5] => [5,6,7,8,3,1,2,4] => [2,4,8,3,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,2,1,7,6,8,5] => [5,6,7,8,2,3,1,4] => [3,1,4,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[4,3,2,1,6,7,8,5] => [5,6,7,8,3,2,1,4] => [4,8,3,2,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,1,8,7,6,5] => [6,5,7,8,1,2,3,4] => [2,3,4,8,1,6,5,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,4,2,1,7,8,6,5] => [6,5,7,8,2,1,3,4] => [3,4,8,2,1,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,3,1,8,7,6,5] => [7,5,6,8,1,2,3,4] => [2,3,4,8,1,6,7,5] => ([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,3,1,7,6,8,5] => [7,5,6,8,2,3,1,4] => [3,1,4,8,2,6,7,5] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[3,2,4,1,8,7,6,5] => [6,7,5,8,1,2,3,4] => [2,3,4,8,1,7,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,4,1,6,8,7,5] => [6,7,5,8,3,1,2,4] => [2,4,8,3,1,7,5,6] => ([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,7,6,8,5] => [6,7,5,8,2,3,1,4] => [3,1,4,8,2,7,5,6] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[2,3,4,1,8,7,6,5] => [7,6,5,8,1,2,3,4] => [2,3,4,8,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,4,1,6,7,8,5] => [7,6,5,8,3,2,1,4] => [4,8,3,2,1,7,6,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,2,8,7,6,5] => [8,5,6,7,1,2,3,4] => [2,3,4,7,1,6,8,5] => ([(0,7),(1,7),(2,7),(3,5),(4,5),(4,6),(5,6),(6,7)],8)
[2,1,4,3,8,7,6,5] => [7,8,5,6,1,2,3,4] => [2,3,4,6,1,8,5,7] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[2,1,4,3,7,8,6,5] => [7,8,5,6,2,1,3,4] => [3,4,6,2,1,8,5,7] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7),(6,7)],8)
[2,1,4,3,6,8,7,5] => [7,8,5,6,3,1,2,4] => [2,4,6,3,1,8,5,7] => ([(0,4),(1,7),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,7,6,8,5] => [7,8,5,6,2,3,1,4] => [3,1,4,6,2,8,5,7] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,3,6,7,8,5] => [7,8,5,6,3,2,1,4] => [4,6,3,2,1,8,5,7] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,3,8,7,6,5] => [8,7,5,6,1,2,3,4] => [2,3,4,6,1,8,7,5] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6)],8)
[3,2,1,4,8,7,6,5] => [6,7,8,5,1,2,3,4] => [2,3,4,8,5,1,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,1,4,8,7,6,5] => [7,6,8,5,1,2,3,4] => [2,3,4,8,5,1,7,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,3,2,4,8,7,6,5] => [8,6,7,5,1,2,3,4] => [2,3,4,7,5,1,8,6] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,3,4,8,7,6,5] => [7,8,6,5,1,2,3,4] => [2,3,4,8,6,5,1,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,7,8,6,5] => [7,8,6,5,2,1,3,4] => [3,4,8,6,5,2,1,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,8,7,6,5] => [8,7,6,5,1,2,3,4] => [2,3,4,8,7,6,5,1] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,7,8,6,5] => [8,7,6,5,2,1,3,4] => [3,4,8,7,6,5,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,6,8,7,5] => [8,7,6,5,3,1,2,4] => [2,4,8,7,6,5,3,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,7,6,8,5] => [8,7,6,5,2,3,1,4] => [3,1,4,8,7,6,5,2] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,6,7,8,5] => [8,7,6,5,3,2,1,4] => [4,8,7,6,5,3,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,1,8,7,6] => [4,5,6,7,8,1,2,3] => [2,3,8,1,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[5,4,3,2,1,7,8,6] => [4,5,6,7,8,2,1,3] => [3,8,2,1,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,5,2,1,8,7,6] => [6,5,4,7,8,1,2,3] => [2,3,8,1,6,5,4,7] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,5,4,3,8,7,6] => [7,8,4,5,6,1,2,3] => [2,3,6,1,5,8,4,7] => ([(0,5),(1,5),(2,4),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[1,2,5,4,3,8,7,6] => [8,7,4,5,6,1,2,3] => [2,3,6,1,5,8,7,4] => ([(0,6),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[1,3,2,5,4,8,7,6] => [8,6,7,4,5,1,2,3] => [2,3,5,1,7,4,8,6] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,2,1,5,8,7,6] => [5,6,7,8,4,1,2,3] => [2,3,8,4,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,2,1,5,7,8,6] => [5,6,7,8,4,2,1,3] => [3,8,4,2,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,1,5,8,7,6] => [6,5,7,8,4,1,2,3] => [2,3,8,4,1,6,5,7] => ([(0,7),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,3,2,5,8,7,6] => [8,5,6,7,4,1,2,3] => [2,3,7,4,1,6,8,5] => ([(0,6),(1,6),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,1,4,5,8,7,6] => [6,7,8,5,4,1,2,3] => [2,3,8,5,4,1,6,7] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,4,5,7,8,6] => [7,6,8,5,4,2,1,3] => [3,8,5,4,2,1,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,5,8,7,6] => [8,7,6,5,4,1,2,3] => [2,3,8,7,6,5,4,1] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,5,7,8,6] => [8,7,6,5,4,2,1,3] => [3,8,7,6,5,4,2,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,2,1,8,7] => [3,4,5,6,7,8,1,2] => [2,8,1,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[5,4,6,3,2,1,8,7] => [4,5,3,6,7,8,1,2] => [2,8,1,5,3,4,6,7] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,2,1,8,7] => [5,6,3,4,7,8,1,2] => [2,8,1,4,6,3,5,7] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,6,1,8,7] => [4,5,6,7,3,8,1,2] => [2,8,1,7,3,4,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,3,2,6,1,8,7] => [5,4,6,7,3,8,1,2] => [2,8,1,7,3,5,4,6] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,6,1,8,7] => [5,6,4,7,3,8,1,2] => [2,8,1,7,3,6,4,5] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,6,1,8,7] => [6,7,4,5,3,8,1,2] => [2,8,1,5,3,7,4,6] => ([(0,3),(1,5),(1,7),(2,4),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,6,1,8,7] => [6,5,7,4,3,8,1,2] => [2,8,1,7,4,3,6,5] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,1,8,7] => [7,6,5,4,3,8,1,2] => [2,8,1,7,6,5,4,3] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,5,4,3,8,7] => [7,8,3,4,5,6,1,2] => [2,6,1,4,5,8,3,7] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[2,1,5,4,6,3,8,7] => [7,8,4,5,3,6,1,2] => [2,6,1,5,3,8,4,7] => ([(0,3),(1,4),(2,6),(2,7),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,3,2,1,6,5,8,7] => [5,6,7,8,3,4,1,2] => [2,4,1,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[3,4,2,1,6,5,8,7] => [6,5,7,8,3,4,1,2] => [2,4,1,8,3,6,5,7] => ([(0,6),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8)
[3,2,4,1,6,5,8,7] => [6,7,5,8,3,4,1,2] => [2,4,1,8,3,7,5,6] => ([(0,5),(1,2),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,1,4,3,6,5,8,7] => [7,8,5,6,3,4,1,2] => [2,4,1,6,3,8,5,7] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,4,6,5,8,7] => [8,7,6,5,3,4,1,2] => [2,4,1,8,7,6,5,3] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,1,6,8,7] => [4,5,6,7,8,3,1,2] => [2,8,3,1,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,3,5,4,6,8,7] => [7,8,6,4,5,3,1,2] => [2,5,3,1,8,6,4,7] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7)],8)
[4,3,2,1,5,6,8,7] => [5,6,7,8,4,3,1,2] => [2,8,4,3,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,1,5,6,8,7] => [6,5,7,8,4,3,1,2] => [2,8,4,3,1,6,5,7] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,5,6,8,7] => [7,8,6,5,4,3,1,2] => [2,8,6,5,4,3,1,7] => ([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,5,6,8,7] => [8,7,6,5,4,3,1,2] => [2,8,7,6,5,4,3,1] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,3,2,1,8] => [5,2,3,4,6,7,8,1] => [8,1,3,4,5,2,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,6,7,5,1,8] => [7,6,5,3,2,4,8,1] => [8,1,4,7,6,5,3,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,7,6,1,8] => [4,5,6,7,2,3,8,1] => [8,1,3,7,2,4,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,7,6,1,8] => [6,4,5,7,2,3,8,1] => [8,1,3,7,2,5,6,4] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,7,6,1,8] => [7,6,5,4,2,3,8,1] => [8,1,3,7,6,5,4,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,5,2,7,1,8] => [6,5,3,4,7,2,8,1] => [8,1,7,2,4,6,5,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,6,7,1,8] => [6,4,5,7,3,2,8,1] => [8,1,7,3,2,5,6,4] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,7,5,4,3,8] => [7,8,3,2,4,5,6,1] => [6,1,4,5,8,3,2,7] => ([(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,2,1,7,6,5,8] => [5,6,7,8,2,3,4,1] => [4,1,3,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(4,5),(4,6),(5,6),(6,7)],8)
[4,3,2,1,6,7,5,8] => [5,6,7,8,3,2,4,1] => [4,1,8,3,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => [4,1,3,7,2,6,8,5] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7)],8)
[1,3,4,2,6,7,5,8] => [8,6,5,7,3,2,4,1] => [4,1,7,3,2,8,6,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7)],8)
[3,2,1,4,7,6,5,8] => [6,7,8,5,2,3,4,1] => [4,1,3,8,5,2,6,7] => ([(0,6),(1,6),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,3,4,7,6,5,8] => [8,7,6,5,2,3,4,1] => [4,1,3,8,7,6,5,2] => ([(0,2),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,6,7,5,8] => [8,7,6,5,3,2,4,1] => [4,1,8,7,6,5,3,2] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,1,7,6,8] => [4,5,6,7,8,2,3,1] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,3,2,5,4,7,6,8] => [8,6,7,4,5,2,3,1] => [3,1,5,2,7,4,8,6] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,5,4,7,6,8] => [8,7,6,4,5,2,3,1] => [3,1,5,2,8,7,6,4] => ([(0,3),(1,2),(1,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,5,7,6,8] => [5,6,7,8,4,2,3,1] => [3,1,8,4,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,2,4,5,7,6,8] => [8,6,7,5,4,2,3,1] => [3,1,7,5,4,2,8,6] => ([(0,3),(1,2),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,5,7,6,8] => [7,8,6,5,4,2,3,1] => [3,1,8,6,5,4,2,7] => ([(0,7),(1,2),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,5,7,6,8] => [8,7,6,5,4,2,3,1] => [3,1,8,7,6,5,4,2] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,5,4,1,7,8] => [7,6,3,4,5,8,2,1] => [8,2,1,4,5,7,6,3] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,6,4,1,7,8] => [7,6,4,3,5,8,2,1] => [8,2,1,5,7,6,4,3] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,6,1,7,8] => [6,4,5,7,3,8,2,1] => [8,2,1,7,3,5,6,4] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,5,6,3,7,8] => [8,7,5,4,3,6,2,1] => [6,2,1,8,7,5,4,3] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,6,5,7,8] => [5,6,7,8,3,4,2,1] => [4,2,1,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6)],8)
[1,2,4,3,6,5,7,8] => [8,7,5,6,3,4,2,1] => [4,2,1,6,3,8,7,5] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(5,6)],8)
[2,1,3,4,6,5,7,8] => [7,8,6,5,3,4,2,1] => [4,2,1,8,6,5,3,7] => ([(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,2,3,4,6,5,7,8] => [8,7,6,5,3,4,2,1] => [4,2,1,8,7,6,5,3] => ([(0,1),(0,2),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,5,4,6,7,8] => [8,6,7,4,5,3,2,1] => [5,3,2,1,7,4,8,6] => ([(0,3),(1,2),(1,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,5,4,6,7,8] => [7,8,6,4,5,3,2,1] => [5,3,2,1,8,6,4,7] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[1,2,3,5,4,6,7,8] => [8,7,6,4,5,3,2,1] => [5,3,2,1,8,7,6,4] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[1,2,3,4,8,6,7,5] => [8,7,6,5,1,3,2,4] => [3,2,4,8,7,6,5,1] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,5,6,8,4] => [8,7,6,2,4,3,1,5] => [4,3,1,5,8,7,6,2] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,5,6,7,4] => [8,7,6,1,4,3,2,5] => [4,3,2,5,8,7,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,5,7,6,4] => [8,7,6,1,4,2,3,5] => [3,4,2,5,8,7,6,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,3,8,6,5,7,4] => [8,7,6,1,3,4,2,5] => [4,2,3,5,8,7,6,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,4,5,8,6,7,3] => [8,7,5,4,1,3,2,6] => [3,2,6,8,7,5,4,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,4,5,3,7,8] => [8,7,3,5,4,6,2,1] => [6,2,1,5,4,8,7,3] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,5,6,7,4,2] => [8,6,1,4,3,2,5,7] => [4,3,2,5,7,8,6,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,3,4,2,8,7,6] => [8,4,6,5,7,1,2,3] => [2,3,7,1,6,5,8,4] => ([(0,7),(1,3),(2,3),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,4,3,6,8,2] => [8,2,4,5,6,3,1,7] => [6,3,1,4,5,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,8,5,4,7,6,3,2] => [8,1,4,5,2,3,6,7] => [3,5,2,4,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,5,8,6,7,3] => [7,8,5,4,1,3,2,6] => [3,2,6,8,5,4,1,7] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,4,5,3,8,7] => [7,8,3,5,4,6,1,2] => [2,6,1,5,4,8,3,7] => ([(0,3),(1,2),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,4,5,7,8,3] => [7,8,3,5,4,2,1,6] => [5,4,2,1,6,8,3,7] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,8,5,4,7,6,3] => [7,8,1,4,5,2,3,6] => [3,5,2,4,6,8,1,7] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,8,6,7,5,4] => [7,6,8,1,3,2,4,5] => [3,2,4,5,8,1,7,6] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,3,6,4,5,1,8,7] => [7,6,3,5,4,8,1,2] => [2,8,1,5,4,7,6,3] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,4,5,7,8,1] => [7,6,3,5,4,2,1,8] => [5,4,2,1,7,6,3,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,3,4,5,7,8,1] => [7,3,6,5,4,2,1,8] => [6,5,4,2,1,7,3,8] => ([(1,4),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,6,5,4,1,8] => [7,2,6,3,4,5,8,1] => [8,1,4,5,6,3,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,8,6,7,1] => [7,4,5,6,1,3,2,8] => [3,2,6,1,5,7,4,8] => ([(1,7),(2,3),(2,5),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,1,7,5,6,4,8] => [6,7,8,2,4,3,5,1] => [5,1,4,3,8,2,6,7] => ([(0,7),(1,3),(2,3),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,5,6,8,4] => [6,7,8,2,4,3,1,5] => [4,3,1,5,8,2,6,7] => ([(0,4),(1,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,6,5,7,4] => [6,7,8,1,3,4,2,5] => [4,2,3,5,8,1,6,7] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,1,8,6,7,5,4] => [6,7,8,1,3,2,4,5] => [3,2,4,5,8,1,6,7] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,3,1,5,8,7,6] => [5,7,6,8,4,1,2,3] => [2,3,8,4,1,5,7,6] => ([(0,7),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,3,1,8,6,7,5] => [5,7,6,8,1,3,2,4] => [3,2,4,8,1,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,3,1,8,7,6,5] => [5,7,6,8,1,2,3,4] => [2,3,4,8,1,5,7,6] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,3,5,6,1,8,7] => [5,7,6,4,3,8,1,2] => [2,8,1,7,6,4,3,5] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,7,5,6,8,1] => [5,7,6,2,4,3,1,8] => [4,3,1,7,6,2,5,8] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,7,6,5,8,1] => [5,7,6,2,3,4,1,8] => [4,1,3,7,6,2,5,8] => ([(1,6),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,3,8,7,6,5,1] => [5,7,6,1,2,3,4,8] => [2,3,4,7,6,1,5,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,3,4,6,5,1,8] => [2,7,6,5,3,4,8,1] => [8,1,2,4,7,6,5,3] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,5,4,7,1,8] => [3,7,6,4,5,2,8,1] => [8,1,5,2,3,7,6,4] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,6,7,1,8] => [4,7,5,6,3,2,8,1] => [8,1,6,3,2,4,7,5] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,3,6,7,5,1] => [1,7,5,6,3,2,4,8] => [1,4,6,3,2,7,5,8] => ([(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[8,2,7,4,6,5,3,1] => [1,7,2,5,3,4,6,8] => [1,4,5,3,6,7,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,6,5,4,3,1] => [1,7,2,3,4,5,6,8] => [1,3,4,5,6,7,2,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,1,8,6,7,5] => [5,6,7,8,1,3,2,4] => [3,2,4,8,1,5,6,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,3,2,4,1,6,8,7] => [4,6,7,5,8,3,1,2] => [2,8,3,1,4,7,5,6] => ([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,2,5,4,1,8,7] => [3,6,7,4,5,8,1,2] => [2,8,1,3,5,7,4,6] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,5,4,7,6,1] => [1,6,7,4,5,2,3,8] => [1,3,5,2,7,4,6,8] => ([(2,7),(3,6),(4,5),(4,6),(5,7)],8)
[5,3,4,2,1,7,8,6] => [4,6,5,7,8,2,1,3] => [3,8,2,1,4,6,5,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,4,2,6,5,7,1] => [1,6,5,7,3,4,2,8] => [1,4,2,7,3,6,5,8] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[6,3,5,4,2,7,1,8] => [3,6,4,5,7,2,8,1] => [8,1,7,2,3,5,6,4] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,6,5,2,1] => [1,6,2,5,3,4,7,8] => [1,4,5,3,6,2,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,6,4,2,1] => [1,6,2,4,3,5,7,8] => [1,4,3,5,6,2,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,6,5,4,2,1] => [1,6,2,3,4,5,7,8] => [1,3,4,5,6,2,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[7,4,3,6,5,2,1,8] => [2,5,6,3,4,7,8,1] => [8,1,2,4,6,3,5,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,2,7,6,1] => [1,4,5,6,7,2,3,8] => [1,3,7,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[8,7,4,3,6,5,2,1] => [1,2,5,6,3,4,7,8] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8)
[2,4,6,8,1,3,5,7] => [7,5,3,1,8,6,4,2] => [8,6,4,2,7,5,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,3,6,5,7,8] => [7,5,8,6,3,4,2,1] => [4,2,1,8,6,3,7,5] => ([(0,5),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8)
[2,4,1,6,3,7,5,8] => [7,5,8,3,6,2,4,1] => [4,1,6,2,8,3,7,5] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[2,1,4,6,7,3,5,8] => [7,8,5,3,2,6,4,1] => [6,4,1,8,5,3,2,7] => ([(0,4),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,1,6,7,3,5,8] => [7,5,8,3,2,6,4,1] => [6,4,1,8,3,2,7,5] => ([(0,5),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,4,1,6,3,7,8,5] => [7,5,8,3,6,2,1,4] => [4,6,2,1,8,3,7,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,4,6,1,7,3,8,5] => [7,5,3,8,2,6,1,4] => [4,6,1,8,2,7,5,3] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,7,1,8,3,5] => [7,5,3,2,8,1,6,4] => [6,4,8,1,7,5,3,2] => ([(0,2),(0,4),(0,5),(1,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,7,5,8,6] => [7,8,5,6,2,4,1,3] => [3,4,1,6,2,8,5,7] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8)
[2,4,1,3,7,5,8,6] => [7,5,8,6,2,4,1,3] => [3,4,1,8,6,2,7,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,1,3,5,8,6] => [7,5,2,8,6,4,1,3] => [3,8,6,4,1,7,5,2] => ([(0,4),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,4,3,7,8,5,6] => [7,8,5,6,2,1,4,3] => [4,3,6,2,1,8,5,7] => ([(0,2),(1,2),(1,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,8,5,6,7] => [7,8,5,6,1,4,3,2] => [4,3,2,6,1,8,5,7] => ([(0,3),(1,2),(1,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,1,8,3,6,7] => [7,5,4,8,1,6,3,2] => [6,3,2,8,1,7,5,4] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,1,5,6,3,8,7] => [7,5,8,4,3,6,1,2] => [2,6,1,8,4,3,7,5] => ([(0,2),(1,5),(1,7),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,3,5,6,7,8] => [7,5,8,6,4,3,2,1] => [8,6,4,3,2,1,7,5] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,6,7,1,8,3] => [7,5,4,3,2,8,1,6] => [6,8,1,7,5,4,3,2] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,6,7,8,1,3] => [7,5,4,3,2,1,8,6] => [8,6,7,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,6,3,4,8,7] => [7,8,4,3,6,5,1,2] => [2,6,5,1,8,4,3,7] => ([(0,3),(1,2),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,8,1,3,4,7] => [7,4,3,1,8,6,5,2] => [8,6,5,2,7,4,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,6,7,3,4,8] => [7,4,8,3,2,6,5,1] => [6,5,1,8,3,2,7,4] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,1,5,6,7,8,3,4] => [7,8,4,3,2,1,6,5] => [6,5,8,4,3,2,1,7] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,6,7,8,3,4] => [7,4,8,3,2,1,6,5] => [6,5,8,3,2,1,7,4] => ([(0,1),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,5,6,1,7,8,3,4] => [7,4,3,8,2,1,6,5] => [6,5,8,2,1,7,4,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,6,7,8,1,3,4] => [7,4,3,2,1,8,6,5] => [8,6,5,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,7,3,4,8,6] => [7,4,8,2,6,5,1,3] => [3,6,5,1,8,2,7,4] => ([(0,2),(0,6),(1,3),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,7,3,4,6,8] => [7,8,4,2,6,5,3,1] => [6,5,3,1,8,4,2,7] => ([(0,2),(1,4),(1,6),(1,7),(2,3),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,1,7,4,8,6] => [7,6,4,8,2,5,1,3] => [3,5,1,8,2,7,6,4] => ([(0,1),(0,5),(1,4),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,1,8,3,4,6,7] => [7,4,8,1,6,5,3,2] => [6,5,3,2,8,1,7,4] => ([(0,1),(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,5,8,1,4,6,7] => [7,6,4,1,8,5,3,2] => [8,5,3,2,7,6,4,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,6,1,8,4,7] => [7,6,4,3,8,1,5,2] => [5,2,8,1,7,6,4,3] => ([(0,1),(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,5,6,1,7,8,4] => [7,6,4,3,8,2,1,5] => [5,8,2,1,7,6,4,3] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,5,6,7,8,1,4] => [7,6,4,3,2,1,8,5] => [8,5,7,6,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,3,7,4,8,5] => [7,8,3,6,2,5,1,4] => [4,5,1,6,2,8,3,7] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,3,7,4,8,5] => [7,3,8,6,2,5,1,4] => [4,5,1,8,6,2,7,3] => ([(0,3),(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,6,7,1,3,4,8,5] => [7,3,2,8,6,5,1,4] => [4,8,6,5,1,7,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,7,8,3,4,5] => [7,8,3,2,1,6,5,4] => [6,5,4,8,3,2,1,7] => ([(0,1),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,3,4,7,8,5] => [7,8,3,6,5,2,1,4] => [4,6,5,2,1,8,3,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,3,6,1,7,8,4,5] => [7,6,3,8,2,1,5,4] => [5,4,8,2,1,7,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,1,6,3,4,5,8,7] => [7,8,3,6,5,4,1,2] => [2,6,5,4,1,8,3,7] => ([(0,7),(1,2),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,6,7,8,1,5] => [7,6,5,3,2,1,8,4] => [8,4,7,6,5,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,8,1,4,5,6] => [7,6,2,1,8,5,4,3] => [8,5,4,3,7,6,2,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,4,7,5,6,8] => [7,6,8,5,2,4,3,1] => [4,3,1,8,5,2,7,6] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,8,3,4,5,6,7] => [7,8,1,6,5,4,3,2] => [6,5,4,3,2,8,1,7] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,3,4,5,6,7] => [7,1,8,6,5,4,3,2] => [8,6,5,4,3,2,7,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,8,5,6,7] => [7,6,5,8,1,4,3,2] => [4,3,2,8,1,7,6,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[2,3,4,8,1,5,6,7] => [7,6,5,1,8,4,3,2] => [8,4,3,2,7,6,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,2,6,5,8,7] => [6,8,5,7,3,4,1,2] => [2,4,1,7,3,8,5,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8)
[3,4,1,2,6,5,8,7] => [6,5,8,7,3,4,1,2] => [2,4,1,8,7,3,6,5] => ([(0,2),(1,2),(1,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,2,5,8,7] => [6,5,3,8,7,4,1,2] => [2,8,7,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,2,6,8,5,7] => [6,8,5,7,3,1,4,2] => [4,2,7,3,1,8,5,6] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,1,2,5,8] => [6,5,3,2,8,7,4,1] => [8,7,4,1,6,5,3,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,2,7,8,5] => [6,5,3,8,7,2,1,4] => [4,8,7,2,1,6,5,3] => ([(0,3),(0,4),(0,5),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,7,2,8,5] => [6,5,3,8,2,7,1,4] => [4,7,1,8,2,6,5,3] => ([(0,2),(0,7),(1,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,6,7,1,2,8,5] => [6,5,3,2,8,7,1,4] => [4,8,7,1,6,5,3,2] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,6,7,8,2,5] => [6,5,8,3,2,1,7,4] => [7,4,8,3,2,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,6,7,1,8,2,5] => [6,5,3,2,8,1,7,4] => [7,4,8,1,6,5,3,2] => ([(0,1),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,1,2,7,8,5,6] => [6,5,8,7,2,1,4,3] => [4,3,8,7,2,1,6,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,1,8,2,5,6] => [6,5,2,8,1,7,4,3] => [7,4,3,8,1,6,5,2] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,8,1,2,5,6] => [6,5,2,1,8,7,4,3] => [8,7,4,3,6,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,1,7,2,6,8] => [6,5,4,8,2,7,3,1] => [7,3,1,8,2,6,5,4] => ([(0,2),(0,7),(1,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,7,1,2,8,6] => [6,5,4,2,8,7,1,3] => [3,8,7,1,6,5,4,2] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,5,7,8,2,6] => [6,8,5,4,2,1,7,3] => [7,3,8,5,4,2,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,5,1,6,7,8,2] => [6,5,4,8,3,2,1,7] => [7,8,3,2,1,6,5,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,6,7,1,8,2] => [6,5,4,3,2,8,1,7] => [7,8,1,6,5,4,3,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,6,2,4,8,7] => [6,4,8,3,7,5,1,2] => [2,7,5,1,8,3,6,4] => ([(0,4),(1,2),(1,3),(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,6,2,8,4,7] => [6,8,4,3,7,1,5,2] => [5,2,7,1,8,4,3,6] => ([(0,2),(0,6),(1,3),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,6,1,8,2,4,7] => [6,4,3,8,1,7,5,2] => [7,5,2,8,1,6,4,3] => ([(0,3),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,1,7,2,4,8] => [6,4,3,8,2,7,5,1] => [7,5,1,8,2,6,4,3] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,1,7,8,2,4] => [6,4,3,8,2,1,7,5] => [7,5,8,2,1,6,4,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,5,6,7,8,1,2,4] => [6,4,3,2,1,8,7,5] => [8,7,5,6,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,2,7,4,8,6] => [6,8,4,7,2,5,1,3] => [3,5,1,7,2,8,4,6] => ([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,1,7,2,8,4,6] => [6,4,8,2,7,1,5,3] => [5,3,7,1,8,2,6,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,5,1,7,8,2,4,6] => [6,4,8,2,1,7,5,3] => [7,5,3,8,2,1,6,4] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,8,1,2,4,6] => [6,4,2,1,8,7,5,3] => [8,7,5,3,6,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,2,7,4,6,8] => [6,8,4,7,2,5,3,1] => [5,3,1,7,2,8,4,6] => ([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[3,5,7,1,2,4,6,8] => [6,4,2,8,7,5,3,1] => [8,7,5,3,1,6,4,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,2,7,4,8,6] => [8,6,4,7,2,5,1,3] => [3,5,1,7,2,8,6,4] => ([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[3,1,5,2,8,4,6,7] => [6,8,4,7,1,5,3,2] => [5,3,2,7,1,8,4,6] => ([(0,1),(0,5),(1,4),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,5,8,2,4,6,7] => [6,8,4,1,7,5,3,2] => [7,5,3,2,8,4,1,6] => ([(0,1),(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,5,4,8,6,7] => [8,6,7,4,5,1,3,2] => [3,2,5,1,7,4,8,6] => ([(0,6),(1,2),(1,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8)
[3,1,5,2,4,6,7,8] => [6,8,4,7,5,3,2,1] => [7,5,3,2,1,8,4,6] => ([(0,1),(0,7),(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,2,4,6,7,8] => [8,6,4,7,5,3,2,1] => [7,5,3,2,1,8,6,4] => ([(0,1),(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,6,2,7,4,8] => [8,6,4,3,7,2,5,1] => [5,1,7,2,8,6,4,3] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,6,7,8,2,4] => [8,6,4,3,2,1,7,5] => [7,5,8,6,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,2,7,4,8,5] => [6,8,3,7,2,5,1,4] => [4,5,1,7,2,8,3,6] => ([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,6,1,2,7,4,8,5] => [6,3,8,7,2,5,1,4] => [4,5,1,8,7,2,6,3] => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,1,7,2,4,8,5] => [6,3,8,2,7,5,1,4] => [4,7,5,1,8,2,6,3] => ([(0,3),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,1,2,8,4,5] => [6,3,2,8,7,1,5,4] => [5,4,8,7,1,6,3,2] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,7,2,4,5,8] => [6,8,3,2,7,5,4,1] => [7,5,4,1,8,3,2,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,6,4,7,5,8] => [8,6,7,3,5,2,4,1] => [4,1,5,2,7,3,8,6] => ([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[1,3,6,2,4,7,5,8] => [8,6,3,7,5,2,4,1] => [4,1,7,5,2,8,6,3] => ([(0,5),(1,4),(1,7),(2,3),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,6,8,2,4,5,7] => [6,8,3,1,7,5,4,2] => [7,5,4,2,8,3,1,6] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,2,4,8,5,7] => [6,8,3,7,5,1,4,2] => [4,2,7,5,1,8,3,6] => ([(0,1),(0,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,2,6,4,8,5,7] => [8,6,7,3,5,1,4,2] => [4,2,5,1,7,3,8,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,7),(5,7),(6,7)],8)
[3,1,2,4,6,7,5,8] => [6,8,7,5,3,2,4,1] => [4,1,8,7,5,3,2,6] => ([(0,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,8,2,4,5,6] => [6,8,2,1,7,5,4,3] => [7,5,4,3,8,2,1,6] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,7,4,8,5,6] => [8,6,7,2,5,1,4,3] => [4,3,5,1,7,2,8,6] => ([(0,3),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,1,2,4,5,6,8] => [6,2,8,7,5,4,3,1] => [8,7,5,4,3,1,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,7,4,5,6,8] => [6,8,7,2,5,4,3,1] => [5,4,3,1,8,7,2,6] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,5,7,2,6,8] => [8,6,5,4,2,7,3,1] => [7,3,1,8,6,5,4,2] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,4,5,6,7] => [6,8,1,7,5,4,3,2] => [7,5,4,3,2,8,1,6] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,4,5,8,6,7] => [6,8,7,5,4,1,3,2] => [3,2,8,7,5,4,1,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,5,6,8,2,7] => [8,6,5,4,3,1,7,2] => [7,2,8,6,5,4,3,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,1,2,3,8,7] => [5,4,3,8,7,6,1,2] => [2,8,7,6,1,5,4,3] => ([(0,1),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,6,8,2,3,7] => [5,8,4,3,1,7,6,2] => [7,6,2,8,4,3,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,1,7,2,3,8] => [5,4,3,8,2,7,6,1] => [7,6,1,8,2,5,4,3] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,1,2,8,3] => [5,4,3,2,8,7,1,6] => [6,8,7,1,5,4,3,2] => ([(0,1),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,1,8,2,3] => [5,4,3,2,8,1,7,6] => [7,6,8,1,5,4,3,2] => ([(0,1),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,2,7,3,8,6] => [5,8,4,7,2,6,1,3] => [3,6,1,7,2,8,4,5] => ([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,1,5,2,7,8,3,6] => [5,8,4,7,2,1,6,3] => [6,3,7,2,1,8,4,5] => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,5,7,2,8,3,6] => [5,8,4,2,7,1,6,3] => [6,3,7,1,8,4,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,7,2,8,3,6] => [5,4,8,2,7,1,6,3] => [6,3,7,1,8,2,5,4] => ([(0,3),(0,4),(0,6),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,5,7,1,2,8,3,6] => [5,4,2,8,7,1,6,3] => [6,3,8,7,1,5,4,2] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,5,1,7,8,2,3,6] => [5,4,8,2,1,7,6,3] => [7,6,3,8,2,1,5,4] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,2,7,3,6,8] => [5,4,8,7,2,6,3,1] => [6,3,1,8,7,2,5,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,2,5,3,7,6,8] => [8,5,7,4,6,2,3,1] => [3,1,6,2,7,4,8,5] => ([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[4,1,2,5,7,3,6,8] => [5,8,7,4,2,6,3,1] => [6,3,1,8,7,4,2,5] => ([(0,2),(0,7),(1,4),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,4,2,5,7,3,6,8] => [8,5,7,4,2,6,3,1] => [6,3,1,7,4,2,8,5] => ([(0,5),(1,4),(1,7),(2,3),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,2,5,7,3,8,6] => [5,8,7,4,2,6,1,3] => [3,6,1,8,7,4,2,5] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,5,7,2,3,8,6] => [8,5,4,2,7,6,1,3] => [3,7,6,1,8,5,4,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,5,7,8,3,6] => [5,8,7,4,2,1,6,3] => [6,3,8,7,4,2,1,5] => ([(0,3),(0,4),(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,7,8,2,3,6] => [8,5,4,2,1,7,6,3] => [7,6,3,8,5,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,2,8,3,6,7] => [5,4,8,7,1,6,3,2] => [6,3,2,8,7,1,5,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,4,2,5,3,8,6,7] => [8,5,7,4,6,1,3,2] => [3,2,6,1,7,4,8,5] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(3,5),(4,6),(5,6),(6,7)],8)
[4,1,2,5,8,3,6,7] => [5,8,7,4,1,6,3,2] => [6,3,2,8,7,4,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,5,6,3,8,7] => [5,8,7,4,3,6,1,2] => [2,6,1,8,7,4,3,5] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,4,5,2,3,6,7,8] => [8,5,4,7,6,3,2,1] => [7,6,3,2,1,8,5,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,5,6,7,3,8] => [8,5,7,4,3,2,6,1] => [6,1,7,4,3,2,8,5] => ([(0,7),(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,5,6,7,2,3,8] => [8,5,4,3,2,7,6,1] => [7,6,1,8,5,4,3,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,6,7,2,8,3] => [8,5,4,3,2,7,1,6] => [6,7,1,8,5,4,3,2] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,2,7,3,8,5] => [5,8,3,7,2,6,1,4] => [4,6,1,7,2,8,3,5] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[4,6,1,2,7,8,3,5] => [5,3,8,7,2,1,6,4] => [6,4,8,7,2,1,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,6,7,2,8,3,5] => [5,8,3,2,7,1,6,4] => [6,4,7,1,8,3,2,5] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,1,8,2,3,5] => [5,3,2,8,1,7,6,4] => [7,6,4,8,1,5,3,2] => ([(0,1),(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,8,1,2,3,5] => [5,3,2,1,8,7,6,4] => [8,7,6,4,5,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,7,2,3,5,8] => [5,3,8,2,7,6,4,1] => [7,6,4,1,8,2,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,2,3,7,5,8] => [5,3,8,7,6,2,4,1] => [4,1,8,7,6,2,5,3] => ([(0,1),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,6,3,7,5,8] => [8,5,7,3,6,2,4,1] => [4,1,6,2,7,3,8,5] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7)],8)
[1,4,6,2,7,3,5,8] => [8,5,3,7,2,6,4,1] => [6,4,1,7,2,8,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,6,7,3,8,5] => [5,8,7,3,2,6,1,4] => [4,6,1,8,7,3,2,5] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,6,7,8,3,5] => [8,5,7,3,2,1,6,4] => [6,4,7,3,2,1,8,5] => ([(0,1),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,7,8,2,3,5] => [8,5,3,2,1,7,6,4] => [7,6,4,8,5,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,2,8,3,5,7] => [5,8,3,7,1,6,4,2] => [6,4,2,7,1,8,3,5] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,8,2,3,5,7] => [5,3,8,1,7,6,4,2] => [7,6,4,2,8,1,5,3] => ([(0,2),(0,4),(0,5),(1,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,2,3,8,5,7] => [5,8,3,7,6,1,4,2] => [4,2,7,6,1,8,3,5] => ([(0,2),(0,6),(1,3),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,6,3,8,5,7] => [5,8,7,3,6,1,4,2] => [4,2,6,1,8,7,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,4,2,6,3,8,5,7] => [8,5,7,3,6,1,4,2] => [4,2,6,1,7,3,8,5] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)
[1,4,2,6,8,3,5,7] => [8,5,7,3,1,6,4,2] => [6,4,2,7,3,1,8,5] => ([(0,3),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,6,5,8,7] => [5,8,7,6,3,4,1,2] => [2,4,1,8,7,6,3,5] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,6,8,5,7] => [5,8,7,6,3,1,4,2] => [4,2,8,7,6,3,1,5] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,2,3,5,7,8] => [5,3,8,7,6,4,2,1] => [8,7,6,4,2,1,5,3] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,6,5,7,8] => [5,8,7,6,3,4,2,1] => [4,2,1,8,7,6,3,5] => ([(0,1),(0,3),(1,3),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,6,7,8,5] => [5,8,7,6,3,2,1,4] => [4,8,7,6,3,2,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,2,8,3,5,6] => [5,2,8,7,1,6,4,3] => [6,4,3,8,7,1,5,2] => ([(0,1),(0,2),(0,5),(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,1,8,2,3,5,6] => [5,2,8,1,7,6,4,3] => [7,6,4,3,8,1,5,2] => ([(0,1),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,2,7,3,8,5,6] => [8,5,7,2,6,1,4,3] => [4,3,6,1,7,2,8,5] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[4,1,2,7,8,3,5,6] => [5,8,7,2,1,6,4,3] => [6,4,3,8,7,2,1,5] => ([(0,3),(0,4),(0,5),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,8,3,5,6] => [8,5,7,2,1,6,4,3] => [6,4,3,7,2,1,8,5] => ([(0,2),(1,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,7,5,8,6] => [5,8,7,6,2,4,1,3] => [3,4,1,8,7,6,2,5] => ([(0,1),(0,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,7,8,5,6] => [5,8,7,6,2,1,4,3] => [4,3,8,7,6,2,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,2,3,5,6,8] => [5,8,2,7,6,4,3,1] => [7,6,4,3,1,8,2,5] => ([(0,1),(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,3,7,5,6,8] => [8,5,7,6,2,4,3,1] => [4,3,1,7,6,2,8,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7)],8)
[1,2,4,7,3,5,6,8] => [8,7,5,2,6,4,3,1] => [6,4,3,1,8,7,5,2] => ([(0,1),(0,3),(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,5,7,6,8] => [5,8,7,6,4,2,3,1] => [3,1,8,7,6,4,2,5] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,5,7,3,8,6] => [8,7,5,4,2,6,1,3] => [3,6,1,8,7,5,4,2] => ([(0,1),(0,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,8,5,6,7] => [5,8,7,6,1,4,3,2] => [4,3,2,8,7,6,1,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,5,8,3,6,7] => [8,7,5,4,1,6,3,2] => [6,3,2,8,7,5,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,2,7,8,3,4] => [4,3,8,7,2,1,6,5] => [6,5,8,7,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8)
[5,1,2,6,3,7,4,8] => [4,8,7,3,6,2,5,1] => [5,1,6,2,8,7,3,4] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,2,6,3,7,4,8] => [8,4,7,3,6,2,5,1] => [5,1,6,2,7,3,8,4] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,1,2,3,7,8,4] => [4,3,8,7,6,2,1,5] => [5,8,7,6,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,6,3,7,8,4] => [4,8,7,3,6,2,1,5] => [5,6,2,1,8,7,3,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,6,7,3,8,4] => [4,8,7,3,2,6,1,5] => [5,6,1,8,7,3,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,6,7,8,3,4] => [4,8,7,3,2,1,6,5] => [6,5,8,7,3,2,1,4] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,2,7,8,3,4] => [8,4,3,7,2,1,6,5] => [6,5,7,2,1,8,4,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,7,8,2,3,4] => [8,4,3,2,1,7,6,5] => [7,6,5,8,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,1,2,3,4,7] => [4,3,1,8,7,6,5,2] => [8,7,6,5,2,4,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,2,3,8,4,7] => [4,3,8,7,6,1,5,2] => [5,2,8,7,6,1,4,3] => ([(0,1),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,5,2,6,3,8,4,7] => [8,4,7,3,6,1,5,2] => [5,2,6,1,7,3,8,4] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[1,5,6,2,3,8,4,7] => [8,4,3,7,6,1,5,2] => [5,2,7,6,1,8,4,3] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,1,2,6,8,3,4,7] => [4,8,7,3,1,6,5,2] => [6,5,2,8,7,3,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,2,8,3,4,7] => [8,4,3,7,1,6,5,2] => [6,5,2,7,1,8,4,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,2,3,4,8,7] => [4,3,8,7,6,5,1,2] => [2,8,7,6,5,1,4,3] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,6,3,4,8,7] => [4,8,7,3,6,5,1,2] => [2,6,5,1,8,7,3,4] => ([(0,3),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,5,6,3,8,4,7] => [8,7,4,3,6,1,5,2] => [5,2,6,1,8,7,4,3] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,1,2,6,3,4,7,8] => [4,8,7,3,6,5,2,1] => [6,5,2,1,8,7,3,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,6,3,4,7,8] => [8,7,4,3,6,5,2,1] => [6,5,2,1,8,7,4,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,6,3,7,4,8] => [8,7,4,3,6,2,5,1] => [5,1,6,2,8,7,4,3] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,2,8,3,4,6] => [4,8,2,7,1,6,5,3] => [6,5,3,7,1,8,2,4] => ([(0,4),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,1,2,8,3,4,6] => [4,2,8,7,1,6,5,3] => [6,5,3,8,7,1,4,2] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,7,8,1,2,3,4,6] => [4,2,1,8,7,6,5,3] => [8,7,6,5,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,7,3,8,4,6] => [4,8,7,2,6,1,5,3] => [5,3,6,1,8,7,2,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,2,7,3,8,4,6] => [8,4,7,2,6,1,5,3] => [5,3,6,1,7,2,8,4] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(5,6),(5,7)],8)
[5,1,2,7,8,3,4,6] => [4,8,7,2,1,6,5,3] => [6,5,3,8,7,2,1,4] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,2,8,3,4,6] => [8,4,2,7,1,6,5,3] => [6,5,3,7,1,8,4,2] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,7,3,4,8,6] => [8,7,4,2,6,5,1,3] => [3,6,5,1,8,7,4,2] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,7,3,8,4,6] => [8,7,4,2,6,1,5,3] => [5,3,6,1,8,7,4,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,2,3,4,6,8] => [4,2,8,7,6,5,3,1] => [8,7,6,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,7,3,4,6,8] => [8,4,7,2,6,5,3,1] => [6,5,3,1,7,2,8,4] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,7,3,4,6,8] => [8,7,4,2,6,5,3,1] => [6,5,3,1,8,7,4,2] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,2,3,4,6,7] => [4,1,8,7,6,5,3,2] => [8,7,6,5,3,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,8,3,4,6,7] => [4,8,7,1,6,5,3,2] => [6,5,3,2,8,7,1,4] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,5,8,3,4,6,7] => [8,7,4,1,6,5,3,2] => [6,5,3,2,8,7,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,2,8,3,4,5] => [3,8,2,7,1,6,5,4] => [6,5,4,7,1,8,2,3] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,2,8,3,4,5] => [3,2,8,7,1,6,5,4] => [6,5,4,8,7,1,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,1,7,8,2,3,4,5] => [3,8,2,1,7,6,5,4] => [7,6,5,4,8,2,1,3] => ([(0,1),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,2,3,8,4,5] => [3,8,2,7,6,1,5,4] => [5,4,7,6,1,8,2,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,7,3,8,4,5] => [8,3,7,2,6,1,5,4] => [5,4,6,1,7,2,8,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,7,2,3,8,4,5] => [8,3,2,7,6,1,5,4] => [5,4,7,6,1,8,3,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,8,2,3,4,5] => [8,3,2,1,7,6,5,4] => [7,6,5,4,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,2,3,4,8,5] => [8,3,2,7,6,5,1,4] => [4,7,6,5,1,8,3,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,2,3,4,5,8] => [3,8,2,7,6,5,4,1] => [7,6,5,4,1,8,2,3] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,2,3,4,5,8] => [8,3,2,7,6,5,4,1] => [7,6,5,4,1,8,3,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,4,7,5,8] => [8,7,6,3,5,2,4,1] => [4,1,5,2,8,7,6,3] => ([(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,3,6,7,4,5,8] => [8,7,6,3,2,5,4,1] => [5,4,1,8,7,6,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,2,3,4,5,7] => [3,8,1,7,6,5,4,2] => [7,6,5,4,2,8,1,3] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,3,4,8,5,7] => [3,8,7,6,5,1,4,2] => [4,2,8,7,6,5,1,3] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,6,4,8,5,7] => [8,7,6,3,5,1,4,2] => [4,2,5,1,8,7,6,3] => ([(0,5),(0,6),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[6,1,2,3,4,5,8,7] => [3,8,7,6,5,4,1,2] => [2,8,7,6,5,4,1,3] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,6,8,5,7] => [8,7,6,5,3,1,4,2] => [4,2,8,7,6,5,3,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,3,8,4,5,6] => [8,7,2,6,1,5,4,3] => [5,4,3,6,1,8,7,2] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,3,4,8,5,6] => [8,2,7,6,5,1,4,3] => [4,3,7,6,5,1,8,2] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,3,4,5,8,6] => [2,8,7,6,5,4,1,3] => [3,8,7,6,5,4,1,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,4,7,5,8,6] => [8,7,6,5,2,4,1,3] => [3,4,1,8,7,6,5,2] => ([(0,2),(0,7),(1,2),(1,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,7,8,5,6] => [8,7,6,5,2,1,4,3] => [4,3,8,7,6,5,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,7,5,6,8] => [8,7,6,5,2,4,3,1] => [4,3,1,8,7,6,5,2] => ([(0,1),(0,2),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,4,5,6,7] => [8,7,6,1,5,4,3,2] => [5,4,3,2,8,7,6,1] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,8,5,6,7] => [8,7,6,5,1,4,3,2] => [4,3,2,8,7,6,5,1] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,5,8,6,7] => [8,7,6,5,4,1,3,2] => [3,2,8,7,6,5,4,1] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,6,1,4,8,7] => [4,6,7,3,8,5,1,2] => [2,8,5,1,7,3,4,6] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,3,2,5,4,8,1,6] => [2,6,7,4,5,1,8,3] => [8,3,5,1,2,7,4,6] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,5,2,3,1,8,7] => [3,5,4,7,6,8,1,2] => [2,8,1,3,5,4,7,6] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,6,5,1,3,2,8,7] => [5,3,4,8,6,7,1,2] => [2,7,1,4,5,3,8,6] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,4,3,2,8,1,6] => [2,4,5,6,7,1,8,3] => [8,3,7,1,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,4,3,7,2,5,1] => [1,3,5,6,2,7,4,8] => [1,7,4,6,2,3,5,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,3,1,8,2,6] => [4,2,5,6,8,1,7,3] => [7,3,8,1,4,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,1,5,4,8,2,6] => [6,2,8,4,5,1,7,3] => [7,3,5,1,8,4,6,2] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,4,8,3,6] => [7,8,2,4,5,1,6,3] => [6,3,5,1,4,8,2,7] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,5,4,7,6,2] => [6,1,8,4,5,2,3,7] => [3,5,2,7,8,4,6,1] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,5,1,3,7,6,2] => [5,1,4,8,6,2,3,7] => [3,7,8,6,2,4,5,1] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,3,1,7,6,2] => [4,1,5,6,8,2,3,7] => [3,7,8,2,4,1,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,4,3,7,1,5,2] => [3,1,5,6,2,8,4,7] => [7,8,4,6,2,3,1,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,3,6,5,1,2] => [2,1,5,6,3,4,8,7] => [2,1,4,6,3,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8)
[6,8,5,7,3,1,4,2] => [3,1,4,2,6,8,5,7] => [4,2,3,1,7,8,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,1,3,4,2] => [4,1,3,2,8,6,5,7] => [3,2,4,1,7,8,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[4,8,6,1,7,3,5,2] => [5,1,3,8,2,6,4,7] => [6,4,7,8,2,3,5,1] => ([(0,1),(0,2),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,6,7,4,5,2] => [6,1,8,3,2,5,4,7] => [5,4,7,8,3,2,6,1] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,6,8,4,3,5] => [7,8,2,3,1,5,6,4] => [3,1,6,4,5,8,2,7] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,6,8,1,3,2,4] => [4,2,3,1,8,6,7,5] => [3,1,4,2,7,5,8,6] => ([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8)
[5,4,7,2,1,8,3,6] => [4,5,2,7,8,1,6,3] => [6,3,8,1,5,2,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,2,8,1,3,5] => [3,5,2,7,1,8,6,4] => [8,6,4,7,1,5,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,2,8,3,1,5] => [2,5,3,7,1,6,8,4] => [8,4,6,7,1,2,5,3] => ([(0,1),(0,2),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,2,7,3,5,1] => [1,5,3,7,2,6,4,8] => [1,6,4,7,2,5,3,8] => ([(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,7,8,1,4,5] => [3,6,7,2,1,8,5,4] => [8,5,4,7,2,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,3,2,7,1,8,4,6] => [4,6,7,2,8,1,5,3] => [5,3,8,1,7,2,4,6] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8)
[4,3,2,1,7,8,5,6] => [5,6,7,8,2,1,4,3] => [4,3,8,2,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,1,2,8,7,6,5] => [6,5,8,7,1,2,3,4] => [2,3,4,8,7,1,6,5] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,2,8,1,7,6,4] => [4,6,7,1,8,2,3,5] => [3,5,8,2,7,1,4,6] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,8,7,1,5,4] => [3,6,7,1,2,8,4,5] => [2,5,8,4,7,1,3,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,8,6,5,1,4] => [2,6,7,1,3,4,8,5] => [3,4,8,5,7,1,2,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,2,6,5,3,1] => [1,5,2,7,3,4,6,8] => [1,4,6,7,3,5,2,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,2,6,5,1,3] => [2,5,1,7,3,4,8,6] => [4,8,6,7,3,5,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,2,7,1,5,3] => [3,5,1,7,2,8,4,6] => [6,8,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,2,1,7,6,3] => [4,5,1,7,8,2,3,6] => [3,6,8,2,5,1,4,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,1,2,7,6,3] => [5,4,1,8,7,2,3,6] => [3,6,8,7,2,5,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,5,8,3,7,6,4] => [7,8,4,1,6,2,3,5] => [3,5,6,2,8,4,1,7] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,6,8,7,3,5,4] => [7,8,3,1,2,6,4,5] => [2,5,6,4,8,3,1,7] => ([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,8,7,2,5,4] => [6,3,8,1,2,7,4,5] => [2,5,7,4,8,1,6,3] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,8,1,7,2,5,3] => [5,3,1,8,2,7,4,6] => [6,7,4,8,2,5,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,1,2,4,3] => [4,3,1,2,8,7,5,6] => [2,4,3,1,6,8,7,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[6,5,8,7,2,1,4,3] => [3,4,1,2,7,8,5,6] => [2,4,1,3,6,8,5,7] => ([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8)
[7,5,8,6,2,4,1,3] => [2,4,1,3,7,5,8,6] => [3,4,1,2,8,6,7,5] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,6,2,4,3,1] => [1,4,2,3,7,5,6,8] => [1,3,4,2,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[5,7,8,6,1,4,2,3] => [4,2,1,3,8,5,7,6] => [3,4,2,1,7,6,8,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[2,1,7,8,6,5,3,4] => [7,8,2,1,3,4,6,5] => [3,4,6,5,8,2,1,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,6,5,4,2] => [6,1,8,2,3,4,5,7] => [3,4,5,7,8,2,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,7,1,6,5,3,2] => [5,1,2,8,3,4,6,7] => [2,4,6,7,8,3,5,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,7,6,1,4,3,2] => [4,1,2,3,8,5,6,7] => [2,3,4,1,6,7,8,5] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)
[6,8,7,5,4,1,3,2] => [3,1,2,4,5,8,6,7] => [2,3,1,4,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8)
[2,1,4,3,6,5,8,7,10,9] => [9,10,7,8,5,6,3,4,1,2] => [2,4,1,6,3,8,5,10,7,9] => ([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,7,6,5,4,3,2,1,10,9] => [3,4,5,6,7,8,9,10,1,2] => [2,10,1,3,4,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[10,8,9,6,7,4,5,2,3,1] => [1,3,2,5,4,7,6,9,8,10] => [1,3,2,5,4,7,6,9,8,10] => ([(2,9),(3,8),(4,7),(5,6)],10)
[4,3,2,1,10,9,8,7,6,5] => [7,8,9,10,1,2,3,4,5,6] => [2,3,4,5,6,10,1,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(8,9)],10)
[2,1,10,9,8,7,6,5,4,3] => [9,10,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,10,1,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[6,5,8,1,2,3,4,7] => [3,4,1,8,7,6,5,2] => [8,7,6,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,1,2,3,4,6] => [2,4,1,8,7,6,5,3] => [8,7,6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,2,3,4,6] => [1,4,2,8,7,6,5,3] => [1,8,7,6,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,7,1,2,6,8] => [4,6,5,2,8,7,3,1] => [8,7,3,1,6,5,2,4] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,7,1,3,4,8] => [4,7,3,2,8,6,5,1] => [8,6,5,1,7,3,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,7,1,2,4,8] => [3,6,4,2,8,7,5,1] => [8,7,5,1,6,4,2,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,6,1,2,4,8] => [2,6,4,3,8,7,5,1] => [8,7,5,1,2,6,4,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,8,1,3,5,7] => [3,7,5,1,8,6,4,2] => [8,6,4,2,7,5,1,3] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,8,1,4,5,6] => [6,7,2,1,8,5,4,3] => [8,5,4,3,7,2,1,6] => ([(0,1),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,8,1,2,4,6] => [2,6,4,1,8,7,5,3] => [8,7,5,3,6,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,5,1,4,7,8] => [6,3,7,4,8,5,2,1] => [8,5,2,1,7,4,6,3] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,6,1,2,5,8] => [5,2,6,3,8,7,4,1] => [8,7,4,1,6,3,5,2] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,7,1,4,5,6] => [6,1,7,2,8,5,4,3] => [8,5,4,3,7,2,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,1,3,5,6] => [5,1,7,2,8,6,4,3] => [8,6,4,3,7,2,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,1,2,5,6] => [5,1,6,2,8,7,4,3] => [8,7,4,3,6,2,5,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,1,2,4,6] => [4,1,6,2,8,7,5,3] => [8,7,5,3,6,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,7,1,2,3,4] => [3,1,4,2,8,7,6,5] => [4,2,3,1,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)
[7,8,2,4,1,3,5,6] => [2,1,7,5,8,6,4,3] => [2,1,8,6,4,3,7,5] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,5,1,2,4,6] => [2,1,6,4,8,7,5,3] => [2,1,8,7,5,3,6,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,6,1,2,3,5] => [2,1,5,3,8,7,6,4] => [2,1,8,7,6,4,5,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,6,1,5,7,8] => [5,6,7,3,8,4,2,1] => [8,4,2,1,7,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,2,6,1,4,7,8] => [4,6,7,3,8,5,2,1] => [8,5,2,1,7,3,4,6] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,2,7,1,4,6,8] => [4,6,7,2,8,5,3,1] => [8,5,3,1,7,2,4,6] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,3,7,1,2,4,8] => [3,4,6,2,8,7,5,1] => [8,7,5,1,6,2,3,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,6,1,3,5,8] => [2,5,7,3,8,6,4,1] => [8,6,4,1,2,7,3,5] => ([(0,3),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,8,1,4,6,7] => [4,6,7,1,8,5,3,2] => [8,5,3,2,7,1,4,6] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,1,2,4,7] => [3,4,6,1,8,7,5,2] => [8,7,5,2,6,1,3,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,8,1,3,5,6] => [2,5,7,1,8,6,4,3] => [8,6,4,3,7,1,2,5] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,8,1,2,5,6] => [2,5,6,1,8,7,4,3] => [8,7,4,3,6,1,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,8,1,2,3,5] => [2,3,5,1,8,7,6,4] => [8,7,6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,5,1,3,6,7] => [1,5,7,4,8,6,3,2] => [1,8,6,3,2,7,4,5] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,6,1,3,5,7] => [1,5,7,3,8,6,4,2] => [1,8,6,4,2,7,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,7,1,3,5,6] => [1,5,7,2,8,6,4,3] => [1,8,6,4,3,7,2,5] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,1,3,5,6] => [1,2,7,5,8,6,4,3] => [1,2,8,6,4,3,7,5] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,6,1,3,4,5] => [1,2,7,3,8,6,5,4] => [1,2,8,6,5,4,7,3] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,6,1,2,4,5] => [1,2,6,3,8,7,5,4] => [1,2,8,7,5,4,6,3] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,4,8,1,3,7] => [4,3,7,5,1,8,6,2] => [8,6,2,7,5,1,4,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,4,8,1,2,6] => [4,2,6,5,1,8,7,3] => [8,7,3,6,5,1,4,2] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,6,8,1,2,3] => [4,2,5,3,1,8,7,6] => [5,3,1,4,2,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,5,7,1,2,6] => [5,1,6,4,2,8,7,3] => [8,7,3,6,4,2,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,4,6,1,3,5] => [2,1,7,5,3,8,6,4] => [2,1,8,6,4,7,5,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,6,8,1,3,7] => [4,5,7,3,1,8,6,2] => [8,6,2,7,3,1,4,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,5,8,1,4,7] => [3,6,7,4,1,8,5,2] => [8,5,2,7,4,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,2,4,8,1,3,7] => [3,4,7,5,1,8,6,2] => [8,6,2,7,5,1,3,4] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,7,8,1,5,6] => [5,6,7,2,1,8,4,3] => [8,4,3,7,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,7,8,1,3,6] => [4,5,7,2,1,8,6,3] => [8,6,3,7,2,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,3,6,8,1,2,4] => [2,4,6,3,1,8,7,5] => [8,7,5,6,3,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,5,7,1,4,6] => [1,6,7,4,2,8,5,3] => [1,8,5,3,7,4,2,6] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,6,1,3,5] => [1,2,7,5,3,8,6,4] => [1,2,8,6,4,7,5,3] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,4,6,1,2,5] => [1,2,6,5,3,8,7,4] => [1,2,8,7,4,6,5,3] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,6,1,5,8] => [5,6,2,7,3,8,4,1] => [8,4,1,7,3,6,2,5] => ([(0,4),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,2,6,1,3,8] => [4,5,2,7,3,8,6,1] => [8,6,1,7,3,5,2,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,7,2,5,1,4,8] => [3,6,2,7,4,8,5,1] => [8,5,1,7,4,6,2,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,5,1,3,8] => [3,5,2,7,4,8,6,1] => [8,6,1,7,4,5,2,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,3,5,1,2,8] => [3,5,2,6,4,8,7,1] => [8,7,1,6,4,5,2,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,2,5,1,3,7] => [3,5,1,7,4,8,6,2] => [8,6,2,7,4,5,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,7,1,5,6] => [5,6,1,7,2,8,4,3] => [8,4,3,7,2,6,1,5] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,2,7,1,3,5] => [3,5,1,7,2,8,6,4] => [8,6,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,2,4,1,3,6] => [2,4,1,7,5,8,6,3] => [8,6,3,4,1,2,7,5] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,3,4,1,2,6] => [2,4,1,6,5,8,7,3] => [8,7,3,4,1,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,2,6,1,3,4] => [2,4,1,7,3,8,6,5] => [8,6,5,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,8,3,6,1,2,4] => [2,4,1,6,3,8,7,5] => [8,7,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,6,1,2,5] => [1,5,2,6,3,8,7,4] => [1,8,7,4,6,3,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,6,1,3,4] => [1,4,2,7,3,8,6,5] => [1,8,6,5,7,3,4,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,7,1,6,8] => [4,5,6,7,2,8,3,1] => [8,3,1,7,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,2,7,1,4,8] => [3,4,6,7,2,8,5,1] => [8,5,1,7,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,3,2,6,1,4,8] => [2,4,6,7,3,8,5,1] => [8,5,1,2,7,3,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,3,2,8,1,6,7] => [4,5,6,7,1,8,3,2] => [8,3,2,7,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,2,8,1,4,7] => [3,4,6,7,1,8,5,2] => [8,5,2,7,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,3,2,8,1,4,6] => [2,4,6,7,1,8,5,3] => [8,5,3,7,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,2,6,1,4,7] => [1,4,6,7,3,8,5,2] => [1,8,5,2,7,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,3,2,5,1,4,6] => [1,2,6,7,4,8,5,3] => [1,2,8,5,3,7,4,6] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,6,2,4,1,3,5] => [1,2,3,7,5,8,6,4] => [1,2,3,8,6,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,2,6,1,5] => [5,1,6,2,7,3,8,4] => [8,4,7,3,6,2,5,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,2,6,1,4] => [4,1,6,2,7,3,8,5] => [8,5,7,3,6,2,4,1] => ([(0,1),(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,7,2,6,1,3] => [4,1,5,2,7,3,8,6] => [8,6,7,3,5,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,7,3,6,1,2] => [4,1,5,2,6,3,8,7] => [6,3,5,2,4,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,2,5,1,4] => [3,1,6,2,7,4,8,5] => [8,5,7,4,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,7,2,5,1,3] => [3,1,5,2,7,4,8,6] => [8,6,7,4,5,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,7,3,5,1,2] => [3,1,5,2,6,4,8,7] => [6,4,5,2,3,1,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,7,2,4,1,3] => [3,1,4,2,7,5,8,6] => [4,2,3,1,8,6,7,5] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)
[6,8,5,7,3,4,1,2] => [3,1,4,2,6,5,8,7] => [4,2,3,1,6,5,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,6,2,5,1,4] => [2,1,6,3,7,4,8,5] => [2,1,8,5,7,4,6,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,6,2,5,1,3] => [2,1,5,3,7,4,8,6] => [2,1,8,6,7,4,5,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,6,3,5,1,2] => [2,1,5,3,6,4,8,7] => [2,1,6,4,5,3,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,2,4,1,3] => [2,1,4,3,7,5,8,6] => [2,1,4,3,8,6,7,5] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,2,7,1,5] => [3,5,6,1,7,2,8,4] => [8,4,7,2,6,1,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,2,7,1,4] => [3,4,6,1,7,2,8,5] => [8,5,7,2,6,1,3,4] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,8,2,5,1,3] => [2,3,5,1,7,4,8,6] => [8,6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,5,8,2,4,1,3] => [2,3,4,1,7,5,8,6] => [4,1,2,3,8,6,7,5] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[8,5,3,7,2,6,1,4] => [1,4,6,2,7,3,8,5] => [1,8,5,7,3,6,2,4] => ([(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,7,2,6,1,3] => [1,4,5,2,7,3,8,6] => [1,8,6,7,3,5,2,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,4,7,3,6,1,2] => [1,4,5,2,6,3,8,7] => [1,6,3,5,2,4,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,7,2,5,1,3] => [1,3,5,2,7,4,8,6] => [1,8,6,7,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,5,4,2,8,1,3] => [2,3,4,5,7,1,8,6] => [8,6,7,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,5,3,2,7,1,4] => [1,3,4,6,7,2,8,5] => [1,8,5,7,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,6,3,2,5,1,4] => [1,2,3,6,7,4,8,5] => [1,2,3,8,5,7,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,2,4,1,3] => [1,2,3,4,7,5,8,6] => [1,2,3,4,8,6,7,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,5,3,4,6,7] => [1,8,7,4,6,5,3,2] => [1,6,5,3,2,8,7,4] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,2,5,6,3,4,7] => [1,8,7,4,3,6,5,2] => [1,6,5,2,8,7,4,3] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,5,6,3,8,4] => [2,8,7,4,3,6,1,5] => [5,6,1,2,8,7,4,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,6,4,5,7] => [6,8,1,7,3,5,4,2] => [5,4,2,7,3,8,1,6] => ([(0,1),(0,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,2,6,4,8,5] => [6,8,2,7,3,5,1,4] => [4,5,1,7,3,8,2,6] => ([(0,1),(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,6,7,4,5] => [6,8,1,7,3,2,5,4] => [5,4,7,3,2,8,1,6] => ([(0,1),(0,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,2,3,7,5,6] => [1,8,5,7,6,2,4,3] => [1,4,3,7,6,2,8,5] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,5,2,3,4,6,7] => [1,8,4,7,6,5,3,2] => [1,7,6,5,3,2,8,4] => ([(1,4),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,7,3,8,6] => [4,8,5,7,2,6,1,3] => [3,6,1,7,2,4,8,5] => ([(0,6),(1,2),(1,7),(2,5),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,4,2,6,3,5,7] => [1,8,5,7,3,6,4,2] => [1,6,4,2,7,3,8,5] => ([(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,1,5,2,6,3,8,4] => [2,8,4,7,3,6,1,5] => [5,6,1,2,7,3,8,4] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,4,2,8,7,3,6] => [4,8,5,7,1,2,6,3] => [2,6,3,7,1,4,8,5] => ([(0,6),(1,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,1,8,6,2,4,5,7] => [6,8,1,3,7,5,4,2] => [7,5,4,2,3,8,1,6] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,5,2,7,4,6] => [6,8,1,4,7,2,5,3] => [5,3,7,2,4,8,1,6] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,5,6,7,2,3] => [1,8,5,4,3,2,7,6] => [1,7,6,8,5,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,3,4,7,5,6] => [7,1,8,6,5,2,4,3] => [4,3,8,6,5,2,7,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,6,3,7,4,5] => [7,1,8,3,6,2,5,4] => [5,4,6,2,8,3,7,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,1,5,7,3,4,6] => [7,1,8,4,2,6,5,3] => [6,5,3,8,4,2,7,1] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,7,6,3,4,5] => [7,1,8,2,3,6,5,4] => [3,6,5,4,8,2,7,1] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,2,4,5,8,6] => [2,6,8,7,5,4,1,3] => [3,8,7,5,4,1,2,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,2,6,4,5,7] => [1,6,8,7,3,5,4,2] => [1,5,4,2,8,7,3,6] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,2,8,3,6,7] => [4,5,8,7,1,6,3,2] => [6,3,2,8,7,1,4,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,8,1,2,7,3,4,6] => [4,1,8,7,2,6,5,3] => [6,5,3,8,7,2,4,1] => ([(0,1),(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,6,2,4,8,5] => [2,6,8,3,7,5,1,4] => [4,7,5,1,2,8,3,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,5,2,7,4,6] => [1,6,8,4,7,2,5,3] => [1,5,3,7,2,8,4,6] => ([(1,4),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,3,1,6,2,7,4,5] => [1,6,8,3,7,2,5,4] => [1,5,4,7,2,8,3,6] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,4,1,5,2,3,8,6] => [2,5,8,4,7,6,1,3] => [3,7,6,1,2,8,4,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,2,3,5,7] => [1,5,8,3,7,6,4,2] => [1,7,6,4,2,8,3,5] => ([(1,3),(1,5),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,8,2,3,5,6] => [2,5,8,1,7,6,4,3] => [7,6,4,3,8,1,2,5] => ([(0,1),(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,6,2,3,4,5] => [1,2,8,3,7,6,5,4] => [1,2,7,6,5,4,8,3] => ([(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,5,2,7,3,6] => [1,5,8,4,7,2,6,3] => [1,6,3,7,2,8,4,5] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,3,1,5,6,2,4,7] => [1,6,8,4,3,7,5,2] => [1,7,5,2,8,4,3,6] => ([(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,6,2,4,5] => [1,6,8,2,3,7,5,4] => [1,3,7,5,4,8,2,6] => ([(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,5,6,8,2,7] => [5,6,8,4,3,1,7,2] => [7,2,8,4,3,1,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,4,1,5,6,7,2,3] => [1,5,8,4,3,2,7,6] => [1,7,6,8,4,3,2,5] => ([(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,1,6,7,4,5] => [7,6,1,8,3,2,5,4] => [5,4,8,3,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,1,2,4,8,5] => [3,6,2,8,7,5,1,4] => [4,8,7,5,1,6,2,3] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,1,2,7,4,5] => [3,6,1,8,7,2,5,4] => [5,4,8,7,2,6,1,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,8,5,1,2,3,4,7] => [3,1,4,8,7,6,5,2] => [8,7,6,5,2,3,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,2,7,3,6] => [1,4,5,8,7,2,6,3] => [1,6,3,8,7,2,4,5] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[7,3,5,1,6,2,8,4] => [2,6,4,8,3,7,1,5] => [5,7,1,2,8,3,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7)],8)
[7,8,4,1,6,2,3,5] => [2,1,5,8,3,7,6,4] => [2,1,7,6,4,8,3,5] => ([(0,1),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,5,1,6,2,3,4] => [2,1,4,8,3,7,6,5] => [2,1,7,6,5,8,3,4] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,4,5,1,8,3,7] => [7,3,5,4,8,1,6,2] => [6,2,8,1,5,4,7,3] => ([(0,5),(0,6),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,4,6,1,7,3,5] => [7,1,5,3,8,2,6,4] => [6,4,8,2,5,3,7,1] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,5,1,7,3,4] => [7,1,3,4,8,2,6,5] => [6,5,8,2,3,4,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,3,6,5,1,2,8,4] => [2,6,3,4,8,7,1,5] => [5,8,7,1,2,4,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,7,1,2,6] => [1,6,5,4,2,8,7,3] => [1,8,7,3,6,5,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[9,1,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => [1,9,8,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,3,1,2,4,5,6,7,8] => [1,7,9,8,6,5,4,3,2] => [1,9,8,6,5,4,3,2,7] => ([(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,6,7,8,9,1] => [8,7,6,5,4,3,2,1,9] => [8,7,6,5,4,3,2,1,9] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,5,2,6,4,1,8,7] => [6,4,7,3,5,8,1,2] => [2,8,1,5,7,3,6,4] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,4,8,1,6] => [6,4,7,2,5,1,8,3] => [8,3,5,1,7,2,6,4] => ([(0,3),(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,2,3,8,6,1] => [5,4,2,7,6,1,3,8] => [3,7,6,1,5,4,2,8] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,2,3,8,1,6] => [5,4,2,7,6,1,8,3] => [8,3,7,6,1,5,4,2] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,6,4,2,8,7] => [6,4,8,3,5,7,1,2] => [2,7,1,5,8,3,6,4] => ([(0,1),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,1,3,2,8,7] => [5,4,3,8,6,7,1,2] => [2,7,1,5,4,3,8,6] => ([(0,3),(1,2),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,3,1,2,8,7] => [5,4,3,6,8,7,1,2] => [2,8,7,1,5,4,3,6] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,3,2,8,6,1] => [5,4,2,6,7,1,3,8] => [3,7,1,5,4,2,6,8] => ([(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,3,8,1,2,5] => [5,3,2,6,1,8,7,4] => [8,7,4,6,1,5,3,2] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,1,3,8,2,6] => [5,4,2,8,6,1,7,3] => [7,3,8,6,1,5,4,2] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,1,7,4,8,2,6] => [6,4,8,2,5,1,7,3] => [7,3,5,1,8,2,6,4] => ([(0,1),(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,4,8,3,6] => [7,8,4,2,5,1,6,3] => [6,3,5,1,8,4,2,7] => ([(0,3),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,7,4,8,6,2] => [6,4,8,2,5,1,3,7] => [3,5,1,7,8,2,6,4] => ([(0,1),(0,7),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,7,3,1,8,6,2] => [5,4,2,6,8,1,3,7] => [3,7,8,1,5,4,2,6] => ([(0,6),(0,7),(1,2),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,3,8,5,1,2] => [5,3,2,6,1,4,8,7] => [4,6,1,5,3,2,8,7] => ([(0,1),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,7,8,3,1,4,2] => [4,3,2,1,6,8,5,7] => [4,3,2,1,7,8,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,1,3,4,2] => [4,3,2,1,8,6,5,7] => [4,3,2,1,7,8,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)
[4,6,7,1,8,3,5,2] => [5,3,2,8,1,6,4,7] => [6,4,7,8,1,5,3,2] => ([(0,1),(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,7,8,4,5,2] => [6,3,8,2,1,5,4,7] => [5,4,7,8,2,1,6,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,6,7,2,8,1,3,5] => [5,3,2,7,1,8,6,4] => [8,6,4,7,1,5,3,2] => ([(0,2),(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,8,3,5,1] => [5,3,2,7,1,6,4,8] => [6,4,7,1,5,3,2,8] => ([(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,2,7,1,8,4,6] => [6,4,7,2,8,1,5,3] => [5,3,8,1,7,2,6,4] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[3,4,2,1,7,8,5,6] => [6,5,7,8,2,1,4,3] => [4,3,8,2,1,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,1,2,7,8,6,5] => [6,5,8,7,2,1,3,4] => [3,4,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,1,8,6,4] => [6,4,7,2,8,1,3,5] => [3,5,8,1,7,2,6,4] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,8,1,5,4] => [6,3,7,2,1,8,4,5] => [5,8,4,7,2,1,6,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,8,5,1,4] => [6,3,7,2,1,4,8,5] => [4,8,5,7,2,1,6,3] => ([(0,4),(0,5),(0,6),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,6,7,2,8,5,1,3] => [5,3,2,7,1,4,8,6] => [4,8,6,7,1,5,3,2] => ([(0,1),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,8,1,5,3] => [5,3,2,7,1,8,4,6] => [6,8,4,7,1,5,3,2] => ([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,1,2,8,6,3] => [5,4,2,8,7,1,3,6] => [3,6,8,7,1,5,4,2] => ([(0,2),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,7,2,8,6,4] => [6,4,8,2,7,1,3,5] => [3,5,7,1,8,2,6,4] => ([(0,4),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(4,6),(5,6),(6,7)],8)
[2,1,6,7,8,3,5,4] => [7,8,3,2,1,6,4,5] => [5,6,4,8,3,2,1,7] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,7,8,2,5,4] => [6,3,8,2,1,7,4,5] => [5,7,4,8,2,1,6,3] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,6,7,8,1,2,4,3] => [4,3,2,1,8,7,5,6] => [4,3,2,1,6,8,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[5,6,7,8,2,1,4,3] => [4,3,2,1,7,8,5,6] => [4,3,2,1,6,8,5,7] => ([(0,3),(1,2),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,2,4,1,3] => [4,3,2,1,7,5,8,6] => [4,3,2,1,8,6,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)
[5,6,7,8,1,4,2,3] => [4,3,2,1,8,5,7,6] => [4,3,2,1,7,6,8,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[3,6,1,7,8,5,2,4] => [6,3,8,2,1,4,7,5] => [4,7,5,8,2,1,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,1,6,7,8,5,3,4] => [7,8,3,2,1,4,6,5] => [4,6,5,8,3,2,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,7,8,5,4,2] => [6,3,8,2,1,4,5,7] => [4,5,7,8,2,1,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,6,7,1,8,5,3,2] => [5,3,2,8,1,4,6,7] => [4,6,7,8,1,5,3,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,1,4,3,2] => [4,3,2,1,8,5,6,7] => [4,3,2,1,6,7,8,5] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[5,6,7,8,4,1,3,2] => [4,3,2,1,5,8,6,7] => [4,3,2,1,5,7,8,6] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,9,10,5,4,3,2,1] => [5,4,3,2,1,6,7,8,9,10] => [5,4,3,2,1,6,7,8,9,10] => ([(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,8,7,3,4,1,2] => [3,4,1,2,6,5,8,7] => [2,4,1,3,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8)
[3,6,7,4,5,8,1,2] => [6,3,2,5,4,1,8,7] => [5,4,1,6,3,2,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,4,5,1,8,3] => [7,3,2,5,4,8,1,6] => [6,8,1,5,4,7,3,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,7,4,5,2,3,8] => [8,3,2,5,4,7,6,1] => [7,6,1,5,4,8,3,2] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,7,6,2,3,8] => [8,4,5,2,3,7,6,1] => [7,6,1,3,5,2,8,4] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,7,6,1,8,3] => [7,4,5,2,3,8,1,6] => [6,8,1,3,5,2,7,4] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,4,7,6,8,1,2] => [6,4,5,2,3,1,8,7] => [3,1,5,2,6,4,8,7] => ([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
[4,5,3,7,8,6,1,2] => [5,4,6,2,1,3,8,7] => [3,6,2,1,5,4,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,3,8,7,6,1,2] => [4,5,6,1,2,3,8,7] => [2,3,6,1,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[6,4,8,3,7,5,1,2] => [3,5,1,6,2,4,8,7] => [4,6,2,5,1,3,8,7] => ([(0,1),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,4,5,7,1,2] => [3,6,1,5,4,2,8,7] => [5,4,2,6,1,3,8,7] => ([(0,1),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,4,8,6,7,1,2] => [4,6,5,1,3,2,8,7] => [3,2,6,5,1,4,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,5,6,8,7,1,2] => [5,6,4,3,1,2,8,7] => [2,6,4,3,1,5,8,7] => ([(0,1),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,6,1,8,7,4] => [6,7,4,3,8,1,2,5] => [2,5,8,1,7,4,3,6] => ([(0,3),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,6,8,1,7,3] => [5,7,4,3,1,8,2,6] => [6,8,2,7,4,3,1,5] => ([(0,4),(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,4,8,6,1,7,3] => [4,7,5,1,3,8,2,6] => [6,8,2,3,7,5,1,4] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,8,4,5,1,7,3] => [3,7,1,5,4,8,2,6] => [6,8,2,5,4,7,1,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,8,2,4,5,1,6,3] => [2,1,7,5,4,8,3,6] => [2,1,6,8,3,7,5,4] => ([(0,1),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,1,4,5,2,3,6] => [2,1,8,5,4,7,6,3] => [2,1,7,6,3,8,5,4] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,4,5,2,3,7] => [3,8,1,5,4,7,6,2] => [7,6,2,5,4,8,1,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,4,8,6,2,3,7] => [4,8,5,1,3,7,6,2] => [7,6,2,3,8,5,1,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,2,8,6,5,7] => [5,8,6,7,1,3,4,2] => [4,2,3,7,1,5,8,6] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[5,1,3,8,2,6,4,7] => [4,8,6,1,7,3,5,2] => [5,2,7,3,8,6,1,4] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,8,3,2,5,4,7] => [3,8,1,6,7,4,5,2] => [5,2,7,4,6,8,1,3] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,3,2,5,4,6] => [2,1,8,6,7,4,5,3] => [2,1,5,3,7,4,8,6] => ([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
[7,8,2,3,1,5,6,4] => [2,1,7,6,8,4,3,5] => [2,1,5,8,4,3,7,6] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,8,3,1,5,7,4] => [3,7,1,6,8,4,2,5] => [5,8,4,2,6,7,1,3] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,3,8,1,6,7,4] => [4,7,6,1,8,3,2,5] => [5,8,3,2,7,6,1,4] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,2,1,7,5,4] => [3,6,1,7,8,2,4,5] => [4,5,8,2,6,1,3,7] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,2,1,6,5,4] => [2,1,6,7,8,3,4,5] => [2,1,4,5,8,3,6,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[7,8,4,2,6,1,5,3] => [2,1,5,7,3,8,4,6] => [2,1,6,8,4,7,3,5] => ([(0,1),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,7,1,6,3] => [4,5,7,1,2,8,3,6] => [2,6,8,3,7,1,4,5] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,7,8,1,6,3] => [5,4,7,2,1,8,3,6] => [6,8,3,7,2,1,5,4] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,5,3,7,1,6,8,4] => [7,4,6,2,8,3,1,5] => [5,8,3,1,6,2,7,4] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,3,7,2,6,4,8] => [8,4,6,2,7,3,5,1] => [5,1,7,3,6,2,8,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,7,3,2,5,4,8] => [8,3,2,6,7,4,5,1] => [5,1,7,4,6,8,3,2] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,3,1,5,8,4] => [7,3,2,6,8,4,1,5] => [5,8,4,1,6,7,3,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,2,1,8,5,4] => [6,3,2,7,8,1,4,5] => [4,5,8,1,6,3,2,7] => ([(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,2,1,4,3] => [2,1,4,3,7,8,5,6] => [2,1,4,3,6,8,5,7] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8)
[6,5,8,7,1,2,3,4] => [3,4,1,2,8,7,6,5] => [2,4,1,3,8,7,6,5] => ([(0,3),(1,2),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,8,7,2,3,6] => [4,5,8,1,2,7,6,3] => [2,7,6,3,8,1,4,5] => ([(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,1,7,2,3,5] => [3,5,1,8,2,7,6,4] => [7,6,4,8,2,5,1,3] => ([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,1,2,6,4,5] => [2,1,6,8,7,3,5,4] => [2,1,5,4,8,7,3,6] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,1,8,2,7,4,6] => [4,6,8,1,7,2,5,3] => [5,3,7,2,8,1,4,6] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,2,8,7,5,6] => [5,6,8,7,1,2,4,3] => [2,4,3,8,7,1,5,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,1,3,8,5,7,6] => [5,7,8,6,1,4,2,3] => [3,4,2,8,6,1,5,7] => ([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,8,3,4,7,6] => [4,7,8,1,6,5,2,3] => [3,6,5,2,8,1,4,7] => ([(0,3),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,1,3,4,7,5] => [3,7,1,8,6,5,2,4] => [4,8,6,5,2,7,1,3] => ([(0,4),(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,8,2,1,3,4,6,5] => [2,1,7,8,6,5,3,4] => [2,1,4,8,6,5,3,7] => ([(0,1),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,2,6,5,8,7] => [5,6,8,7,3,4,1,2] => [2,4,1,8,7,3,5,6] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(5,6),(5,7),(6,7)],8)
[5,3,1,6,2,4,8,7] => [4,6,8,3,7,5,1,2] => [2,7,5,1,8,3,4,6] => ([(0,5),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[6,3,1,5,2,4,8,7] => [3,6,8,4,7,5,1,2] => [2,7,5,1,3,8,4,6] => ([(0,5),(1,3),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,5,2,8,4,6] => [2,6,8,4,7,1,5,3] => [5,3,7,1,2,8,4,6] => ([(0,1),(0,7),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,5,1,2,7,3,6] => [1,5,4,8,7,2,6,3] => [1,6,3,8,7,2,5,4] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,1,6,5,3,4,8,7] => [7,8,3,4,6,5,1,2] => [2,6,5,1,4,8,3,7] => ([(0,4),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,1,5,2,4,8,7] => [6,3,8,4,7,5,1,2] => [2,7,5,1,8,4,6,3] => ([(0,3),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,1,2,3,8,7] => [5,3,4,8,7,6,1,2] => [2,8,7,6,1,4,5,3] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,1,2,3,8,7] => [4,3,5,8,7,6,1,2] => [2,8,7,6,1,4,3,5] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,1,2,3,8,7] => [3,4,5,8,7,6,1,2] => [2,8,7,6,1,3,4,5] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,7,2,3,5] => [1,3,5,8,2,7,6,4] => [1,7,6,4,8,2,3,5] => ([(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,5,2,8,4,6] => [6,2,8,4,7,1,5,3] => [5,3,7,1,8,4,6,2] => ([(0,1),(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,3,8,4,6] => [7,8,2,4,6,1,5,3] => [5,3,6,1,4,8,2,7] => ([(0,1),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,3,7,4,6] => [7,8,1,4,6,2,5,3] => [5,3,6,2,4,8,1,7] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,5,2,7,4,6] => [6,1,8,4,7,2,5,3] => [5,3,7,2,8,4,6,1] => ([(0,3),(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,1,2,7,3,6] => [5,1,4,8,7,2,6,3] => [6,3,8,7,2,4,5,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,1,2,7,3,6] => [4,1,5,8,7,2,6,3] => [6,3,8,7,2,4,1,5] => ([(0,4),(0,5),(0,6),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,8,6,7,1,2,3,4] => [4,1,3,2,8,7,6,5] => [3,2,4,1,8,7,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[4,8,6,1,7,2,3,5] => [5,1,3,8,2,7,6,4] => [7,6,4,8,2,3,5,1] => ([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,6,7,2,4,5] => [6,1,8,3,2,7,5,4] => [7,5,4,8,3,2,6,1] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,6,8,3,4,5] => [7,8,2,3,1,6,5,4] => [3,1,6,5,4,8,2,7] => ([(0,3),(1,2),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,1,8,2,3,5] => [5,2,3,8,1,7,6,4] => [7,6,4,8,1,3,5,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,8,1,2,3,4] => [4,2,3,1,8,7,6,5] => [3,1,4,2,8,7,6,5] => ([(0,3),(1,2),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,1,8,2,3,5] => [3,5,2,8,1,7,6,4] => [7,6,4,8,1,5,2,3] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,1,8,2,3,5] => [2,5,3,8,1,7,6,4] => [7,6,4,8,1,2,5,3] => ([(0,1),(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,1,7,2,3,5] => [1,5,3,8,2,7,6,4] => [1,7,6,4,8,2,5,3] => ([(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,1,6,7,2,4,5] => [1,6,8,3,2,7,5,4] => [1,7,5,4,8,3,2,6] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,7,2,8,4,6] => [4,6,8,2,7,1,5,3] => [5,3,7,1,8,2,4,6] => ([(0,4),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(4,6),(5,6),(6,7)],8)
[4,3,1,2,7,8,5,6] => [5,6,8,7,2,1,4,3] => [4,3,8,7,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,2,8,7,5,6] => [6,5,8,7,1,2,4,3] => [2,4,3,8,7,1,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,1,8,7,2,4,5] => [3,6,8,1,2,7,5,4] => [2,7,5,4,8,1,3,6] => ([(0,7),(1,2),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,4,8,1,2,7,3,6] => [4,5,1,8,7,2,6,3] => [6,3,8,7,2,5,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,1,2,7,3,6] => [5,4,1,8,7,2,6,3] => [6,3,8,7,2,5,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,8,2,7,4,6] => [6,4,8,1,7,2,5,3] => [5,3,7,2,8,1,6,4] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[2,1,5,8,3,7,4,6] => [7,8,4,1,6,2,5,3] => [5,3,6,2,8,4,1,7] => ([(0,3),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,1,2,3,4] => [4,3,1,2,8,7,6,5] => [2,4,3,1,8,7,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[7,5,8,6,1,2,3,4] => [2,4,1,3,8,7,6,5] => [3,4,1,2,8,7,6,5] => ([(0,2),(0,3),(1,2),(1,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,6,1,2,3,4] => [1,4,2,3,8,7,6,5] => [1,3,4,2,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,1,2,3,4] => [4,2,1,3,8,7,6,5] => [3,4,2,1,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)
[3,7,1,8,6,2,4,5] => [6,2,8,1,3,7,5,4] => [3,7,5,4,8,1,6,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,7,6,3,4,5] => [7,8,1,2,3,6,5,4] => [2,3,6,5,4,8,1,7] => ([(0,7),(1,7),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,6,2,4,5] => [6,1,8,2,3,7,5,4] => [3,7,5,4,8,2,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,1,6,2,3,5] => [5,1,2,8,3,7,6,4] => [2,7,6,4,8,3,5,1] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,1,2,3,4] => [4,1,2,3,8,7,6,5] => [2,3,4,1,8,7,6,5] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[6,8,7,5,1,2,3,4] => [3,1,2,4,8,7,6,5] => [2,3,1,4,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,3,8,5,1,2] => [3,5,2,6,1,4,8,7] => [4,6,1,5,2,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,3,5,8,1,2] => [3,5,2,6,4,1,8,7] => [6,4,1,5,2,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,5,1,8,3] => [3,5,2,7,4,8,1,6] => [6,8,1,7,4,5,2,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,2,7,6,1,3,8] => [4,5,7,2,3,8,6,1] => [8,6,1,3,7,2,4,5] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,7,6,1,8,3] => [4,5,7,2,3,8,1,6] => [6,8,1,3,7,2,4,5] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[5,4,3,7,6,8,1,2] => [4,5,6,2,3,1,8,7] => [3,1,6,2,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[5,4,3,7,8,6,1,2] => [4,5,6,2,1,3,8,7] => [3,6,2,1,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,8,3,5,7,1,2] => [3,5,1,6,4,2,8,7] => [6,4,2,5,1,3,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,8,6,7,1,2] => [4,5,6,1,3,2,8,7] => [3,2,6,1,4,5,8,7] => ([(0,1),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,3,6,8,7,1,2] => [4,5,6,3,1,2,8,7] => [2,6,3,1,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,2,6,7,1,8,3] => [4,5,7,3,2,8,1,6] => [6,8,1,7,3,2,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,4,2,6,7,1,3,8] => [4,5,7,3,2,8,6,1] => [8,6,1,7,3,2,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,2,6,1,7,4,8] => [4,6,7,3,8,2,5,1] => [5,1,8,2,7,3,4,6] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,3,2,6,1,7,8,4] => [4,6,7,3,8,2,1,5] => [5,8,2,1,7,3,4,6] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,3,2,6,1,8,7,4] => [4,6,7,3,8,1,2,5] => [2,5,8,1,7,3,4,6] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,2,6,8,1,7,3] => [4,5,7,3,1,8,2,6] => [6,8,2,7,3,1,4,5] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,2,8,6,1,7,3] => [4,5,7,1,3,8,2,6] => [6,8,2,3,7,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,4,8,2,5,1,7,3] => [3,5,1,7,4,8,2,6] => [6,8,2,7,4,5,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,4,2,5,1,6,3] => [2,1,5,7,4,8,3,6] => [2,1,6,8,3,7,4,5] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,2,5,1,3,6] => [2,1,5,7,4,8,6,3] => [2,1,8,6,3,7,4,5] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,6,1,3,7] => [4,5,7,1,3,8,6,2] => [8,6,2,3,7,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,6,1,8,4,7] => [4,6,7,3,8,1,5,2] => [5,2,8,1,7,3,4,6] => ([(0,4),(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[4,3,2,1,6,8,5,7] => [5,6,7,8,3,1,4,2] => [4,2,8,3,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,2,1,8,6,5,7] => [5,6,7,8,1,3,4,2] => [4,2,3,8,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,3,2,8,1,6,4,7] => [4,6,7,1,8,3,5,2] => [5,2,8,3,7,1,4,6] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,8,2,1,5,4,7] => [3,6,1,7,8,4,5,2] => [5,2,8,4,6,1,3,7] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,8,3,2,1,5,4,6] => [2,1,6,7,8,4,5,3] => [2,1,5,3,8,4,6,7] => ([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[7,8,3,2,1,5,6,4] => [2,1,6,7,8,4,3,5] => [2,1,5,8,4,3,6,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,8,2,1,5,7,4] => [3,6,1,7,8,4,2,5] => [5,8,4,2,6,1,3,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,8,1,6,7,4] => [4,6,7,1,8,3,2,5] => [5,8,3,2,7,1,4,6] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,2,7,8,1,6,3] => [4,5,7,2,1,8,3,6] => [6,8,3,7,2,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,3,2,7,1,8,6,4] => [4,6,7,2,8,1,3,5] => [3,5,8,1,7,2,4,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,7,1,6,8,4] => [4,6,7,2,8,3,1,5] => [5,8,3,1,7,2,4,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[5,3,2,7,1,6,4,8] => [4,6,7,2,8,3,5,1] => [5,1,8,3,7,2,4,6] => ([(0,6),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,3,7,2,1,5,4,8] => [3,6,2,7,8,4,5,1] => [5,1,8,4,6,2,3,7] => ([(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,2,1,5,8,4] => [3,6,2,7,8,4,1,5] => [5,8,4,1,6,2,3,7] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,2,1,8,5,4] => [3,6,2,7,8,1,4,5] => [4,5,8,1,6,2,3,7] => ([(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,7,2,8,1,5,3] => [3,5,2,7,1,8,4,6] => [6,8,4,7,1,5,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[6,5,7,8,2,1,4,3] => [3,4,2,1,7,8,5,6] => [4,2,1,3,6,8,5,7] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[6,5,8,7,2,1,3,4] => [3,4,1,2,7,8,6,5] => [2,4,1,3,8,6,5,7] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[6,3,7,2,1,8,4,5] => [3,6,2,7,8,1,5,4] => [5,4,8,1,6,2,3,7] => ([(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,3,7,2,1,4,8,5] => [3,6,2,7,8,5,1,4] => [4,8,5,1,6,2,3,7] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,2,1,4,5,8] => [3,6,2,7,8,5,4,1] => [8,5,4,1,6,2,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,7,1,4,8,6] => [4,6,7,2,8,5,1,3] => [3,8,5,1,7,2,4,6] => ([(0,3),(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,7,1,3,6] => [4,5,7,1,2,8,6,3] => [2,8,6,3,7,1,4,5] => ([(0,6),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,2,6,1,3,5] => [2,1,5,7,3,8,6,4] => [2,1,8,6,4,7,3,5] => ([(0,1),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,2,1,6,4,5] => [2,1,6,7,8,3,5,4] => [2,1,5,4,8,3,6,7] => ([(0,1),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,8,2,1,7,4,5] => [3,6,1,7,8,2,5,4] => [5,4,8,2,6,1,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,2,8,1,7,4,6] => [4,6,7,1,8,2,5,3] => [5,3,8,2,7,1,4,6] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,2,1,8,7,5,6] => [5,6,7,8,1,2,4,3] => [2,4,3,8,1,5,6,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,2,1,7,5,8,6] => [5,6,7,8,2,4,1,3] => [3,4,1,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[4,3,2,1,7,5,6,8] => [5,6,7,8,2,4,3,1] => [4,3,1,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6)],8)
[4,3,2,1,8,5,7,6] => [5,6,7,8,1,4,2,3] => [3,4,2,8,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,3,2,8,1,4,7,6] => [4,6,7,1,8,5,2,3] => [3,8,5,2,7,1,4,6] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,2,1,4,7,5] => [3,6,1,7,8,5,2,4] => [4,8,5,2,6,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,3,2,1,4,6,5] => [2,1,6,7,8,5,3,4] => [2,1,4,8,5,3,6,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,8,2,1,4,5,7] => [3,6,1,7,8,5,4,2] => [8,5,4,2,6,1,3,7] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,8,5,6,7] => [5,6,7,8,1,4,3,2] => [4,3,2,8,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,2,1,5,8,6,7] => [5,6,7,8,4,1,3,2] => [3,2,8,4,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[7,8,5,6,1,2,4,3] => [2,1,4,3,8,7,5,6] => [2,1,4,3,6,8,7,5] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,1,6,2,5,3] => [2,1,5,8,3,7,4,6] => [2,1,6,7,4,8,3,5] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,4,6,2,5,3] => [2,1,8,5,3,7,4,6] => [2,1,6,7,4,8,5,3] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,4,7,2,5,3] => [3,8,1,5,2,7,4,6] => [6,7,4,5,2,8,1,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,3,2,6,5,4] => [2,1,8,6,7,3,4,5] => [2,1,4,5,7,3,8,6] => ([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[7,8,3,1,2,6,5,4] => [2,1,6,8,7,3,4,5] => [2,1,4,5,8,7,3,6] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,3,4,6,5,1,2] => [2,1,6,5,3,4,8,7] => [2,1,4,6,5,3,8,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,3,1,6,5,4] => [2,1,7,6,8,3,4,5] => [2,1,4,5,8,3,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,2,1,3,6,5,4] => [2,1,7,8,6,3,4,5] => [2,1,4,5,8,6,3,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,1,2,3,6,5,4] => [2,1,8,7,6,3,4,5] => [2,1,4,5,8,7,6,3] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,2,3,7,5,4] => [3,8,1,7,6,2,4,5] => [4,5,7,6,2,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,5,2,8,3,7,6,4] => [8,4,7,1,6,2,3,5] => [3,5,6,2,7,1,8,4] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,2,1,8,3,7,6,4] => [4,7,8,1,6,2,3,5] => [3,5,6,2,8,1,4,7] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,8,3,1,7,5,4] => [3,7,1,6,8,2,4,5] => [4,5,8,2,6,7,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,8,4,7,1,5,3] => [3,7,1,5,2,8,4,6] => [6,8,4,5,2,7,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,8,4,7,5,1,2] => [3,6,1,5,2,4,8,7] => [4,5,2,6,1,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,8,4,7,5,1,2] => [6,3,1,5,2,4,8,7] => [4,5,2,6,3,1,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,3,1,7,5,4] => [7,3,1,6,8,2,4,5] => [4,5,8,2,6,7,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,1,3,7,5,4] => [7,3,1,8,6,2,4,5] => [4,5,8,6,2,7,3,1] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,8,3,7,6,4] => [7,4,8,1,6,2,3,5] => [3,5,6,2,8,1,7,4] => ([(0,4),(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[2,4,1,3,8,7,6,5] => [7,5,8,6,1,2,3,4] => [2,3,4,8,6,1,7,5] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,3,8,1,7,6,4] => [7,4,6,1,8,2,3,5] => [3,5,8,2,6,1,7,4] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,4,8,7,6,1,2] => [6,4,5,1,2,3,8,7] => [2,3,5,1,6,4,8,7] => ([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[5,3,4,8,7,6,1,2] => [4,6,5,1,2,3,8,7] => [2,3,6,5,1,4,8,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,4,8,7,1,6,3] => [4,7,5,1,2,8,3,6] => [2,6,8,3,7,5,1,4] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,3,8,7,6,5] => [5,7,8,6,1,2,3,4] => [2,3,4,8,6,1,5,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,2,3,8,7,6,5] => [5,8,7,6,1,2,3,4] => [2,3,4,8,7,6,1,5] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,3,8,7,6,5] => [8,5,7,6,1,2,3,4] => [2,3,4,7,6,1,8,5] => ([(0,7),(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,3,2,8,7,6,5] => [5,8,6,7,1,2,3,4] => [2,3,4,7,1,5,8,6] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[4,3,1,2,8,7,6,5] => [5,6,8,7,1,2,3,4] => [2,3,4,8,7,1,5,6] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,8,1,2,7,5,4] => [3,6,1,8,7,2,4,5] => [4,5,8,7,2,6,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,3,1,8,2,7,6,4] => [4,6,8,1,7,2,3,5] => [3,5,7,2,8,1,4,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,8,2,7,6,4] => [8,4,6,1,7,2,3,5] => [3,5,7,2,6,1,8,4] => ([(0,6),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,5,4,8,7,2,6,3] => [8,4,5,1,2,7,3,6] => [2,6,7,3,5,1,8,4] => ([(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,1,7,2,5,3] => [3,5,1,8,2,7,4,6] => [6,7,4,8,2,5,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[6,5,8,7,1,2,4,3] => [3,4,1,2,8,7,5,6] => [2,4,1,3,6,8,7,5] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[5,6,8,7,3,4,1,2] => [4,3,1,2,6,5,8,7] => [2,4,3,1,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,2,1,4,3] => [4,3,1,2,7,8,5,6] => [2,4,3,1,6,8,5,7] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[4,5,1,8,7,2,6,3] => [5,4,8,1,2,7,3,6] => [2,6,7,3,8,1,5,4] => ([(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,5,8,7,2,6,3] => [5,8,4,1,2,7,3,6] => [2,6,7,3,8,4,1,5] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,8,7,2,6,3] => [8,5,4,1,2,7,3,6] => [2,6,7,3,8,5,4,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,8,2,7,6,4] => [8,6,4,1,7,2,3,5] => [3,5,7,2,8,6,4,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,5,8,2,7,6,4] => [6,8,4,1,7,2,3,5] => [3,5,7,2,8,4,1,6] => ([(0,3),(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,1,2,7,5,4] => [6,3,1,8,7,2,4,5] => [4,5,8,7,2,6,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,8,2,7,1,5,3] => [5,3,1,7,2,8,4,6] => [6,8,4,7,2,5,3,1] => ([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,3,7,5,1,2] => [5,3,1,6,2,4,8,7] => [4,6,2,5,3,1,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,8,7,6,1,2] => [5,4,6,1,2,3,8,7] => [2,3,6,1,5,4,8,7] => ([(0,1),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,5,2,8,7,1,6,3] => [5,4,7,1,2,8,3,6] => [2,6,8,3,7,1,5,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,2,8,1,7,6,4] => [6,4,7,1,8,2,3,5] => [3,5,8,2,7,1,6,4] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,4,2,8,7,6,5] => [6,8,5,7,1,2,3,4] => [2,3,4,7,1,8,5,6] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[3,1,2,4,8,7,6,5] => [6,8,7,5,1,2,3,4] => [2,3,4,8,7,5,1,6] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,8,7,1,6,3] => [5,7,4,1,2,8,3,6] => [2,6,8,3,7,4,1,5] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,5,8,7,6,1,2] => [5,6,4,1,2,3,8,7] => [2,3,6,4,1,5,8,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,5,8,7,6,1,2] => [6,5,4,1,2,3,8,7] => [2,3,6,5,4,1,8,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,8,1,7,6,4] => [7,6,4,1,8,2,3,5] => [3,5,8,2,7,6,4,1] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,2,6,5,8,7] => [5,8,6,7,3,4,1,2] => [2,4,1,7,3,5,8,6] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,3,2,6,4,8,7] => [4,8,6,7,3,5,1,2] => [2,5,1,7,3,4,8,6] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
[6,1,3,2,5,4,8,7] => [3,8,6,7,4,5,1,2] => [2,5,1,3,7,4,8,6] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,2,5,4,8,6] => [2,8,6,7,4,5,1,3] => [3,5,1,2,7,4,8,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8)
[8,1,3,2,5,4,7,6] => [1,8,6,7,4,5,2,3] => [1,3,5,2,7,4,8,6] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,4,2,5,3,7,6] => [1,8,5,7,4,6,2,3] => [1,3,6,2,7,4,8,5] => ([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[7,1,4,2,5,3,8,6] => [2,8,5,7,4,6,1,3] => [3,6,1,2,7,4,8,5] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,1,4,2,5,3,8,7] => [3,8,5,7,4,6,1,2] => [2,6,1,3,7,4,8,5] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,1,4,2,6,3,8,7] => [4,8,5,7,3,6,1,2] => [2,6,1,7,3,4,8,5] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[2,1,6,3,5,4,8,7] => [7,8,3,6,4,5,1,2] => [2,5,1,6,4,8,3,7] => ([(0,3),(1,4),(2,6),(2,7),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,1,6,2,5,3,8,7] => [5,8,3,7,4,6,1,2] => [2,6,1,7,4,8,3,5] => ([(0,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,5,1,4,3,8,7] => [3,7,4,8,5,6,1,2] => [2,6,1,3,8,5,7,4] => ([(0,6),(1,3),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,6,1,4,3,8,7] => [4,7,3,8,5,6,1,2] => [2,6,1,8,5,7,3,4] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,8,1,4,3,7,6] => [4,7,1,8,5,6,2,3] => [3,6,2,8,5,7,1,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,2,8,1,4,3,7,5] => [3,7,1,8,5,6,2,4] => [4,6,2,8,5,7,1,3] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,1,4,3,8,5] => [3,7,2,8,5,6,1,4] => [4,6,1,8,5,7,2,3] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,6,1,4,3,8,5] => [2,7,3,8,5,6,1,4] => [4,6,1,2,8,5,7,3] => ([(0,4),(0,7),(1,3),(1,6),(2,3),(2,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,2,5,4,8,6] => [6,8,2,7,4,5,1,3] => [3,5,1,7,4,8,2,6] => ([(0,3),(0,7),(1,2),(1,7),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,3,5,4,8,6] => [7,8,2,6,4,5,1,3] => [3,5,1,6,4,8,2,7] => ([(0,4),(1,2),(1,7),(2,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,5,4,7,6] => [7,8,1,6,4,5,2,3] => [3,5,2,6,4,8,1,7] => ([(0,3),(1,5),(1,7),(2,4),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,5,4,7,6] => [6,8,1,7,4,5,2,3] => [3,5,2,7,4,8,1,6] => ([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,8,2,5,3,7,6] => [5,8,1,7,4,6,2,3] => [3,6,2,7,4,8,1,5] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,4,3,8,2,6,5] => [2,8,5,6,1,7,3,4] => [4,7,3,6,1,2,8,5] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,5,3,8,2,6,4] => [2,8,4,6,1,7,3,5] => [5,7,3,6,1,2,8,4] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,1,5,3,7,4] => [1,7,3,8,4,6,2,5] => [1,5,6,2,8,4,7,3] => ([(1,3),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,2,6,3,7,4] => [4,8,1,7,3,6,2,5] => [5,6,2,7,3,8,1,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,8,2,6,3,7,5] => [5,8,1,7,3,6,2,4] => [4,6,2,7,3,8,1,5] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,8,2,6,4,7,5] => [6,8,1,7,3,5,2,4] => [4,5,2,7,3,8,1,6] => ([(0,1),(0,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,6,4,7,5] => [7,8,1,6,3,5,2,4] => [4,5,2,6,3,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,3,6,4,8,5] => [7,8,2,6,3,5,1,4] => [4,5,1,6,3,8,2,7] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,2,6,3,8,5] => [5,8,2,7,3,6,1,4] => [4,6,1,7,3,8,2,5] => ([(0,4),(0,6),(1,3),(1,7),(2,3),(2,5),(2,7),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,1,5,3,8,4] => [2,7,3,8,4,6,1,5] => [5,6,1,2,8,4,7,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,1,5,3,8,4] => [3,7,2,8,4,6,1,5] => [5,6,1,8,4,7,2,3] => ([(0,3),(0,4),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,1,5,3,7,4] => [3,7,1,8,4,6,2,5] => [5,6,2,8,4,7,1,3] => ([(0,2),(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,2,7,3,8,4] => [3,8,4,7,2,6,1,5] => [5,6,1,7,2,3,8,4] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,4,2,6,3,7,5] => [1,8,5,7,3,6,2,4] => [1,4,6,2,7,3,8,5] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[8,1,3,2,6,4,7,5] => [1,8,6,7,3,5,2,4] => [1,4,5,2,7,3,8,6] => ([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
[7,1,3,2,6,4,8,5] => [2,8,6,7,3,5,1,4] => [4,5,1,2,7,3,8,6] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[6,1,3,2,7,4,8,5] => [3,8,6,7,2,5,1,4] => [4,5,1,7,2,3,8,6] => ([(0,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,1,4,2,8,5,7,6] => [6,8,5,7,1,4,2,3] => [3,4,2,7,1,8,5,6] => ([(0,1),(0,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,3,2,8,4,7,6] => [4,8,6,7,1,5,2,3] => [3,5,2,7,1,4,8,6] => ([(0,3),(1,5),(1,7),(2,4),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,1,3,2,6,5] => [2,5,1,8,6,7,3,4] => [4,7,3,5,1,2,8,6] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,8,1,4,2,6,5] => [2,6,1,8,5,7,3,4] => [4,7,3,8,5,6,1,2] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,4,2,8,3,7,5] => [3,8,5,7,1,6,2,4] => [4,6,2,7,1,3,8,5] => ([(0,5),(1,2),(1,3),(1,7),(2,4),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,4,2,8,3,7,6] => [4,8,5,7,1,6,2,3] => [3,6,2,7,1,4,8,5] => ([(0,5),(1,3),(1,7),(2,4),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,5,2,8,3,7,6] => [5,8,4,7,1,6,2,3] => [3,6,2,7,1,8,4,5] => ([(0,4),(0,5),(1,3),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[3,1,5,2,8,4,7,6] => [6,8,4,7,1,5,2,3] => [3,5,2,7,1,8,4,6] => ([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[2,1,6,3,8,4,7,5] => [7,8,3,6,1,5,2,4] => [4,5,2,6,1,8,3,7] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,2,8,3,7,5] => [5,8,3,7,1,6,2,4] => [4,6,2,7,1,8,3,5] => ([(0,4),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(4,6),(5,6),(6,7)],8)
[5,1,6,2,8,3,7,4] => [4,8,3,7,1,6,2,5] => [5,6,2,7,1,8,3,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,1,5,2,8,3,7,4] => [3,8,4,7,1,6,2,5] => [5,6,2,7,1,3,8,4] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,3,7,1,5,2,6,4] => [1,6,2,8,4,7,3,5] => [1,5,7,3,8,4,6,2] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,1,5,2,6,4] => [2,6,1,8,4,7,3,5] => [5,7,3,8,4,6,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,3,8,1,5,4] => [3,7,2,6,1,8,4,5] => [5,8,4,6,1,7,2,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,8,3,7,1,5,4] => [3,7,1,6,2,8,4,5] => [5,8,4,6,2,7,1,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,3,7,2,6,1,5,4] => [1,6,2,7,3,8,4,5] => [1,5,8,4,7,3,6,2] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,3,7,2,6,4] => [4,8,1,6,2,7,3,5] => [5,7,3,6,2,8,1,4] => ([(0,4),(0,7),(1,2),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,8,3,7,2,6,5] => [5,8,1,6,2,7,3,4] => [4,7,3,6,2,8,1,5] => ([(0,2),(0,7),(1,3),(1,5),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,4,7,2,6,5] => [6,8,1,5,2,7,3,4] => [4,7,3,5,2,8,1,6] => ([(0,1),(0,7),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,4,7,3,6,5] => [7,8,1,5,2,6,3,4] => [4,6,3,5,2,8,1,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,4,8,3,6,5] => [7,8,2,5,1,6,3,4] => [4,6,3,5,1,8,2,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,7,4,8,2,6,5] => [6,8,2,5,1,7,3,4] => [4,7,3,5,1,8,2,6] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,7,3,8,2,6,4] => [4,8,2,6,1,7,3,5] => [5,7,3,6,1,8,2,4] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,8,2,6,1,5,4] => [2,6,1,7,3,8,4,5] => [5,8,4,7,3,6,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,6,3,8,1,5,4] => [2,7,3,6,1,8,4,5] => [5,8,4,6,1,2,7,3] => ([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,2,8,1,4,7] => [4,6,3,7,1,8,5,2] => [8,5,2,7,1,6,3,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,3,8,2,4,1,6] => [4,2,6,1,7,5,8,3] => [8,3,7,5,6,1,4,2] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,2,4,6,1] => [4,2,6,1,7,5,3,8] => [7,5,3,6,1,4,2,8] => ([(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,5,8,3,6,1] => [2,5,7,4,1,6,3,8] => [6,3,7,4,1,2,5,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,6,3,8,1,7] => [5,4,7,3,6,1,8,2] => [8,2,6,1,7,3,5,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,2,8,1,3,4,7] => [4,3,7,1,8,6,5,2] => [8,6,5,2,7,1,4,3] => ([(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,1,4,8,2,7] => [6,4,3,8,5,1,7,2] => [7,2,8,5,1,6,4,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,5,6,3,2,8,1,7] => [5,4,3,6,7,1,8,2] => [8,2,7,1,5,4,3,6] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,3,8,2,6,1] => [2,5,4,6,1,7,3,8] => [7,3,6,1,2,5,4,8] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,8,3,2,1,5] => [3,2,5,1,6,7,8,4] => [8,4,5,1,3,2,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,7,8,1,4,2,6] => [4,6,2,1,8,5,7,3] => [7,3,8,5,6,2,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,8,1,4,6,2] => [2,6,4,1,8,5,3,7] => [7,8,5,3,6,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,1,5,8,3,6,2] => [2,5,8,4,1,6,3,7] => [6,3,7,8,4,1,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,4,3,8,1,5,2] => [3,2,5,6,1,8,4,7] => [7,8,4,6,1,3,2,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,7,4,8,3,1,5,2] => [3,2,5,1,6,8,4,7] => [7,8,4,5,1,3,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,7,3,8,4,2,1] => [4,3,2,6,1,5,7,8] => [5,6,1,4,3,2,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,1,7,3,8,4,2] => [4,3,8,2,6,1,5,7] => [5,6,1,7,8,2,4,3] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,1,8,3,5,2] => [3,5,2,8,1,6,4,7] => [6,4,7,8,1,5,2,3] => ([(0,1),(0,2),(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,1,4,5,2] => [3,2,1,6,8,5,4,7] => [3,2,1,7,8,5,4,6] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,4,8,3,2,5] => [3,8,2,5,1,6,7,4] => [7,4,5,1,6,8,2,3] => ([(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,6,7,3,2,8,4] => [4,8,3,2,6,7,1,5] => [5,7,1,6,8,3,2,4] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,1,7,3,2,8,4] => [4,3,8,2,6,7,1,5] => [5,7,1,6,8,2,4,3] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,7,3,2,1,8,4] => [4,3,2,6,7,8,1,5] => [5,8,1,4,3,2,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,7,3,2,8,4,1] => [4,3,2,6,7,1,5,8] => [5,7,1,4,3,2,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,7,3,8,4,1] => [4,3,7,2,6,1,5,8] => [5,6,1,7,2,4,3,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,7,3,1,8,4] => [4,3,7,2,6,8,1,5] => [5,8,1,6,7,2,4,3] => ([(0,4),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,8,2,1,3,4,6] => [2,4,1,7,8,6,5,3] => [8,6,5,3,4,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,1,8,2,4,6] => [4,2,6,8,1,7,5,3] => [7,5,3,8,1,4,2,6] => ([(0,4),(0,7),(1,2),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,7,1,5,2,8,3,6] => [5,2,8,4,7,1,6,3] => [6,3,7,1,8,4,5,2] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,2,5,1,8,3,6] => [2,5,7,4,8,1,6,3] => [6,3,8,1,2,7,4,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,2,1,8,3,5] => [3,2,5,7,8,1,6,4] => [6,4,8,1,3,2,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,7,4,2,8,3,1,5] => [3,2,5,7,1,6,8,4] => [8,4,6,7,1,3,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,7,2,1,8,4,5] => [6,3,2,7,8,1,5,4] => [5,4,8,1,6,3,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,7,8,2,1,5,6] => [6,5,2,1,7,8,4,3] => [8,4,3,6,5,2,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,8,2,6,1,5] => [6,5,2,1,7,3,8,4] => [8,4,7,3,6,5,2,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,2,6,1,4] => [4,2,6,1,7,3,8,5] => [8,5,7,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,8,5,2,1,4] => [6,3,2,1,4,7,8,5] => [4,8,5,6,3,2,1,7] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,8,5,2,4,1] => [6,3,2,1,4,7,5,8] => [4,7,5,6,3,2,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,7,8,2,6,3] => [5,8,4,2,1,7,3,6] => [6,7,3,8,4,2,1,5] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,8,1,6,2,4] => [4,6,2,1,8,3,7,5] => [7,5,8,3,6,2,1,4] => ([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,8,5,1,3,4] => [3,2,7,1,4,8,6,5] => [4,8,6,5,7,1,3,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,4,1,7,8,2,5,3] => [3,5,8,2,1,7,4,6] => [6,7,4,8,2,1,3,5] => ([(0,2),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,2,7,8,4,3] => [4,8,3,7,2,1,5,6] => [5,6,7,2,1,8,3,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,7,2,1,8,4,3] => [4,3,2,7,8,1,5,6] => [5,6,8,1,4,3,2,7] => ([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,7,2,8,4,3] => [4,8,3,2,7,1,5,6] => [5,6,7,1,8,3,2,4] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,1,8,2,5,3] => [3,5,2,8,1,7,4,6] => [6,7,4,8,1,5,2,3] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,7,1,8,5,2,4] => [6,3,2,8,1,4,7,5] => [4,7,5,8,1,6,3,2] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,7,8,5,2,4,1,3] => [3,2,1,4,7,5,8,6] => [3,2,1,4,8,6,7,5] => ([(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,5,1,4,2] => [3,2,1,6,4,8,5,7] => [3,2,1,7,8,5,6,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,6,7,8,4,3,2] => [4,8,3,2,1,5,6,7] => [5,6,7,8,3,2,1,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,7,8,4,3,2] => [4,3,8,2,1,5,6,7] => [5,6,7,8,2,1,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8)
[5,6,7,1,8,4,3,2] => [4,3,2,8,1,5,6,7] => [5,6,7,8,1,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,5,1,6,4,7] => [1,6,7,4,8,3,5,2] => [1,5,2,8,3,7,4,6] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[8,5,3,6,2,4,1,7] => [1,4,6,3,7,5,8,2] => [1,8,2,7,5,6,3,4] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,7,4,1,8,6] => [4,6,7,2,5,8,1,3] => [3,8,1,5,7,2,4,6] => ([(0,1),(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,8,2,4,6,1] => [2,4,6,1,7,5,3,8] => [7,5,3,6,1,2,4,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,4,5,6,3,1,7] => [1,7,5,4,3,6,8,2] => [1,8,2,6,7,5,4,3] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,1,3,6,4,7] => [1,7,4,8,6,3,5,2] => [1,5,2,8,6,3,7,4] => ([(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,6,2,1,4,3,7] => [1,4,3,7,8,5,6,2] => [1,6,2,4,3,8,5,7] => ([(1,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[8,5,3,6,4,1,2,7] => [1,4,6,3,5,8,7,2] => [1,8,7,2,5,6,3,4] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,5,6,3,2,7] => [1,8,5,4,3,6,7,2] => [1,7,2,6,8,5,4,3] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,8,3,2,6,1] => [2,5,4,1,6,7,3,8] => [7,3,5,4,1,2,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,6,7,2,8,5,1] => [5,6,3,2,7,1,4,8] => [4,7,1,6,3,2,5,8] => ([(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,6,7,2,8,5] => [8,5,6,3,2,7,1,4] => [4,7,1,6,3,2,8,5] => ([(0,3),(1,2),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,3,7,2,8,6] => [5,8,4,6,2,7,1,3] => [3,7,1,6,2,8,4,5] => ([(0,1),(0,7),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,7,1,2,8,6] => [4,6,5,2,8,7,1,3] => [3,8,7,1,6,5,2,4] => ([(0,1),(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,2,1,4,6,3] => [2,4,1,7,8,5,3,6] => [6,8,5,3,4,1,2,7] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,8,4,1,6,2] => [2,4,6,1,5,8,3,7] => [7,8,3,5,6,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,7,8,1,5,2] => [5,6,3,2,1,8,4,7] => [7,8,4,6,3,2,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,8,3,5,2,1] => [3,5,2,1,6,4,7,8] => [6,4,5,2,1,3,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,6,7,8,4,1,2] => [6,4,3,2,1,5,8,7] => [5,6,4,3,2,1,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,6,7,8,4,2] => [6,8,4,3,2,1,5,7] => [5,7,8,4,3,2,1,6] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,7,8,3,5,2] => [5,3,8,2,1,6,4,7] => [6,4,7,8,2,1,5,3] => ([(0,1),(0,2),(0,4),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,1,4,8,5,2] => [6,3,2,8,5,1,4,7] => [4,7,8,5,1,6,3,2] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,1,4,8,3,5] => [7,3,2,8,5,1,6,4] => [6,4,8,5,1,7,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,7,8,2,1,4] => [6,4,3,2,1,7,8,5] => [8,5,6,4,3,2,1,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,7,8,2,4,1] => [6,4,3,2,1,7,5,8] => [7,5,6,4,3,2,1,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,7,8,1,3,6] => [5,4,7,2,1,8,6,3] => [8,6,3,7,2,1,5,4] => ([(0,1),(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,1,3,5,8,6] => [5,2,7,8,6,4,1,3] => [3,8,6,4,1,5,2,7] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,2,1,3,6,5] => [2,1,5,7,8,6,3,4] => [2,1,4,8,6,3,5,7] => ([(0,1),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,2,1,6,5] => [2,1,6,5,7,8,3,4] => [2,1,4,8,3,6,5,7] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,7,1,8,5,4] => [3,6,7,2,8,1,4,5] => [4,5,8,1,7,2,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,1,8,5,4] => [6,3,7,2,8,1,4,5] => [4,5,8,1,7,2,6,3] => ([(0,2),(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,8,5,2,3,1] => [3,5,2,1,4,7,6,8] => [4,5,2,1,3,7,6,8] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,4,7,8,1,5,3] => [7,3,5,2,1,8,4,6] => [6,8,4,5,2,1,7,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,7,8,1,5,3] => [5,3,7,2,1,8,4,6] => [6,8,4,7,2,1,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,5,8,6,2,1,3] => [2,5,4,1,3,7,8,6] => [3,5,4,1,2,8,6,7] => ([(0,3),(1,3),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,8,6,1,2,4] => [2,4,6,1,3,8,7,5] => [3,8,7,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,2,1,6,3,4] => [2,4,1,7,8,3,6,5] => [6,5,8,3,4,1,2,7] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,1,7,8,2,5,4] => [3,6,8,2,1,7,4,5] => [5,7,4,8,2,1,3,6] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,7,8,5,2,3] => [5,3,8,2,1,4,7,6] => [4,7,6,8,2,1,5,3] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,1,2,6,7,8,4,3] => [4,8,7,3,2,1,5,6] => [5,6,8,7,3,2,1,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,7,8,4,1,3] => [4,7,3,2,1,5,8,6] => [5,8,6,7,3,2,1,4] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,7,8,4,1,3] => [7,4,3,2,1,5,8,6] => [5,8,6,7,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,6,7,8,4,3] => [8,4,7,3,2,1,5,6] => [5,6,7,3,2,1,8,4] => ([(0,4),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[2,6,7,1,3,8,5,4] => [7,3,2,8,6,1,4,5] => [4,5,8,6,1,7,3,2] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,1,5,4,3] => [3,2,1,7,8,4,5,6] => [3,2,1,5,6,8,4,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[6,7,3,8,5,1,4,2] => [3,2,6,1,4,8,5,7] => [4,7,8,5,6,1,3,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,4,3,7,2,5,1,8] => [3,5,6,2,7,4,8,1] => [8,1,7,4,6,2,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,6,5,1,2,7] => [1,5,6,3,4,8,7,2] => [1,8,7,2,4,6,3,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,3,4,8,7,2] => [8,4,3,6,5,1,2,7] => [2,6,5,1,7,8,4,3] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,7,3,5,1,8] => [5,3,7,2,6,4,8,1] => [8,1,6,4,7,2,5,3] => ([(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,7,4,5,1,8] => [6,7,3,2,5,4,8,1] => [8,1,5,4,7,3,2,6] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,6,5,3,1,8] => [5,2,7,3,4,6,8,1] => [8,1,4,6,7,3,5,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,2,4,3,1,8] => [4,2,3,7,5,6,8,1] => [8,1,3,4,2,6,7,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,7,5,4,1,3,2,6] => [1,2,4,5,8,6,7,3] => [1,2,7,3,4,5,8,6] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[5,8,6,2,4,1,3,7] => [4,1,3,7,5,8,6,2] => [8,6,2,3,4,1,7,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,6,5,1,3,7] => [5,1,7,3,4,8,6,2] => [8,6,2,4,7,3,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,2,4,8,7,3] => [4,8,3,7,5,1,2,6] => [2,6,7,5,1,8,3,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,1,5,4,2,8,7,3] => [3,8,4,5,7,1,2,6] => [2,6,7,1,3,5,8,4] => ([(0,7),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,1,5,4,8,2,6,3] => [2,8,4,5,1,7,3,6] => [6,7,3,5,1,2,8,4] => ([(0,4),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,5,4,7,6,2,3] => [1,8,4,5,2,3,7,6] => [1,3,5,2,7,6,8,4] => ([(1,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[1,8,6,7,4,5,3,2] => [8,1,3,2,5,4,6,7] => [3,2,5,4,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,1,6,8,4,2,5,3] => [2,8,3,1,5,7,4,6] => [6,7,4,5,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,7,8,2,4,5,3] => [3,8,2,1,7,5,4,6] => [6,7,5,4,8,2,1,3] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,2,8,4,6,3] => [4,8,2,7,1,5,3,6] => [5,3,6,7,1,8,2,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(5,6),(5,7)],8)
[3,2,1,7,8,5,6,4] => [6,7,8,2,1,4,3,5] => [4,3,5,8,2,1,6,7] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,7,1,5,4,6] => [6,7,1,2,8,4,5,3] => [2,5,3,8,4,7,1,6] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,1,5,3,6] => [5,1,7,2,8,4,6,3] => [6,3,8,4,7,2,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,4,3,2,5] => [1,2,3,8,5,6,7,4] => [1,2,3,7,4,6,8,5] => ([(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,7,8,3,4,5,2] => [8,3,2,1,6,5,4,7] => [6,5,4,7,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,1,3,2,4,5] => [2,3,1,8,6,7,5,4] => [3,1,2,7,5,4,8,6] => ([(0,6),(1,6),(2,5),(3,4),(3,7),(4,7),(5,7)],8)
[5,7,8,2,1,3,4,6] => [4,2,1,7,8,6,5,3] => [8,6,5,3,4,2,1,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,1,3,5,6] => [5,2,7,1,8,6,4,3] => [8,6,4,3,7,1,5,2] => ([(0,1),(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,8,4,1,5,7] => [6,7,3,1,5,8,4,2] => [8,4,2,5,7,3,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,8,3,1,5,7] => [5,3,7,1,6,8,4,2] => [8,4,2,6,7,1,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,8,2,3,1,4,7] => [4,3,1,7,6,8,5,2] => [8,5,2,4,3,1,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,3,1,2,4,6] => [2,4,1,6,8,7,5,3] => [8,7,5,3,4,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,3,1,4,2,6] => [1,4,2,6,8,5,7,3] => [1,7,3,4,2,8,5,6] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,3,8,4,6,2] => [8,4,2,6,1,5,3,7] => [5,3,6,1,7,8,4,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,7,1,5,2,6] => [1,5,6,2,8,4,7,3] => [1,7,3,8,4,6,2,5] => ([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,2,1,5,7] => [3,5,6,1,7,8,4,2] => [8,4,2,6,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,2,3,8,1,6,7] => [5,4,7,6,1,8,3,2] => [8,3,2,7,6,1,5,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,8,1,6,7] => [6,7,4,5,1,8,3,2] => [8,3,2,5,1,7,4,6] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,2,3,1,8,7,6] => [5,4,7,6,8,1,2,3] => [2,3,8,1,5,4,7,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,3,1,2,8,7,5] => [3,5,6,8,7,1,2,4] => [2,4,8,7,1,3,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,1,8,2,6,5] => [2,5,6,8,1,7,3,4] => [4,7,3,8,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,3,1,7,6,2,5] => [1,5,6,8,2,3,7,4] => [1,3,7,4,8,2,5,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,8,3,7,6,4,2] => [8,4,1,6,2,3,5,7] => [3,5,6,2,7,8,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,1,3,7,6,2,4] => [1,4,8,6,2,3,7,5] => [1,3,7,5,8,6,2,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,3,2,8,7,4] => [3,4,8,6,7,1,2,5] => [2,5,7,1,3,4,8,6] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[3,2,6,1,4,8,7,5] => [6,7,3,8,5,1,2,4] => [2,4,8,5,1,7,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,7,1,8,4,6,5] => [6,7,2,8,1,5,3,4] => [4,5,3,8,1,7,2,6] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,1,8,3,2,5,4] => [2,3,8,1,6,7,4,5] => [5,7,4,6,8,1,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,6,1,7,3,5,2,4] => [1,3,8,2,6,4,7,5] => [1,7,5,6,4,8,2,3] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,8,7,3,5,4,2] => [8,3,1,2,6,4,5,7] => [2,5,6,4,7,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,6,5,3,4,2] => [8,2,1,3,4,6,5,7] => [3,4,6,5,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,6,5,3,2,4] => [1,2,8,3,4,6,7,5] => [1,2,4,7,5,6,8,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,5,2,3,4] => [2,1,8,3,4,7,6,5] => [2,1,4,7,6,5,8,3] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,7,2,5,3,4] => [3,1,8,2,7,4,6,5] => [6,5,7,4,8,2,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,2,8,7,6,5,3] => [5,8,7,1,2,3,4,6] => [2,3,4,6,8,7,1,5] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,6,5,2,4,3] => [2,8,1,3,4,7,5,6] => [3,4,6,7,5,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,7,6,5,4,2,3] => [1,8,2,3,4,5,7,6] => [1,3,4,5,7,6,8,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,6,5,8,7,4] => [6,8,7,3,4,1,2,5] => [2,4,1,5,8,7,3,6] => ([(0,4),(1,7),(2,4),(2,7),(3,5),(3,6),(5,6),(5,7),(6,7)],8)
[4,6,1,2,3,8,7,5] => [5,3,8,7,6,1,2,4] => [2,4,8,7,6,1,5,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,2,4,8,7,3] => [3,8,4,7,5,1,2,6] => [2,6,7,5,1,3,8,4] => ([(0,6),(1,5),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,1,2,3,8,7,5] => [3,5,8,7,6,1,2,4] => [2,4,8,7,6,1,3,5] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,2,3,8,7,6] => [4,5,8,7,6,1,2,3] => [2,3,8,7,6,1,4,5] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,2,7,3,6,8] => [4,5,8,7,2,6,3,1] => [6,3,1,8,7,2,4,5] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,4,1,7,2,3,5,8] => [3,5,8,2,7,6,4,1] => [7,6,4,1,8,2,3,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,2,8,3,6,5] => [2,5,8,7,1,6,3,4] => [4,6,3,8,7,1,2,5] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,2,8,3,6,4] => [2,4,8,7,1,6,3,5] => [5,6,3,8,7,1,2,4] => ([(0,2),(0,3),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,2,8,4,6,3] => [2,8,4,7,1,5,3,6] => [5,3,6,7,1,2,8,4] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,7,5,3,8,4,6,2] => [8,2,4,6,1,5,3,7] => [5,3,6,1,4,7,8,2] => ([(0,7),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,3,7,4,6,2] => [8,1,4,6,2,5,3,7] => [5,3,6,2,4,7,8,1] => ([(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,2,7,3,6,4] => [1,4,8,7,2,6,3,5] => [1,5,6,3,8,7,2,4] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,7,2,3,5,6] => [1,5,8,2,7,6,4,3] => [1,7,6,4,3,8,2,5] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,8,2,3,5,4] => [2,3,8,1,7,6,4,5] => [5,7,6,4,8,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,7,1,2,8,3,6,5] => [5,2,8,7,1,6,3,4] => [4,6,3,8,7,1,5,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,7,2,8,4,6,5] => [6,8,2,7,1,5,3,4] => [4,5,3,7,1,8,2,6] => ([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,1,2,8,7,5,6,3] => [5,8,7,1,2,4,3,6] => [2,4,3,6,8,7,1,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,8,2,7,4,6,5] => [6,8,1,7,2,5,3,4] => [4,5,3,7,2,8,1,6] => ([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,7,2,4,5,6] => [6,8,1,2,7,5,4,3] => [2,7,5,4,3,8,1,6] => ([(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,6,2,4,5,8] => [6,8,2,3,7,5,4,1] => [7,5,4,1,3,8,2,6] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,6,2,3,5,8] => [5,2,8,3,7,6,4,1] => [7,6,4,1,8,3,5,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,6,2,3,5,7] => [5,1,8,3,7,6,4,2] => [7,6,4,2,8,3,5,1] => ([(0,2),(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,2,3,5,6] => [5,1,8,2,7,6,4,3] => [7,6,4,3,8,2,5,1] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,3,4,5,2] => [8,3,1,2,6,5,4,7] => [2,6,5,4,7,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,7,2,4,5,3] => [3,8,1,2,7,5,4,6] => [2,6,7,5,4,8,1,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,7,1,2,3,4,5] => [3,1,2,8,7,6,5,4] => [2,3,1,8,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,1,2,3,4,6] => [4,1,2,8,7,6,5,3] => [2,8,7,6,5,3,4,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,1,2,3,4,7] => [4,1,3,8,7,6,5,2] => [8,7,6,5,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,1,2,3,4,8] => [4,2,3,8,7,6,5,1] => [8,7,6,5,1,3,4,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,2,3,5,4] => [2,1,8,3,7,6,4,5] => [2,1,5,7,6,4,8,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,2,4,5,3] => [2,8,1,3,7,5,4,6] => [3,6,7,5,4,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,8,6,3,4,5,2] => [8,2,1,3,6,5,4,7] => [3,6,5,4,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,3,4,5,2] => [8,1,2,3,6,5,4,7] => [2,3,6,5,4,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,6,2,3,5,4] => [1,2,8,3,7,6,4,5] => [1,2,5,7,6,4,8,3] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,6,4,8,7] => [6,7,4,8,3,5,1,2] => [2,5,1,8,3,7,4,6] => ([(0,3),(1,4),(1,7),(2,5),(2,7),(3,4),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,5,4,7,1,8,6] => [6,7,4,5,2,8,1,3] => [3,8,1,5,2,7,4,6] => ([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,5,3,7,6,8,1] => [5,7,4,6,2,3,1,8] => [3,1,6,2,7,4,5,8] => ([(1,6),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7)],8)
[4,2,5,1,6,3,8,7] => [5,7,4,8,3,6,1,2] => [2,6,1,8,3,7,4,5] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,1,6,2,8,7] => [5,6,4,8,3,7,1,2] => [2,7,1,8,3,6,4,5] => ([(0,2),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,5,2,7,1,8,6] => [5,6,4,7,2,8,1,3] => [3,8,1,7,2,6,4,5] => ([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,7,5,8,1] => [5,6,3,7,2,4,1,8] => [4,1,7,2,6,3,5,8] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,3,6,2,7,1,8,5] => [5,6,3,7,2,8,1,4] => [4,8,1,7,2,6,3,5] => ([(0,3),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,1,7,2,8,5] => [5,6,3,8,2,7,1,4] => [4,7,1,8,2,6,3,5] => ([(0,3),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,5,4,7,2,8,6] => [6,8,4,5,2,7,1,3] => [3,7,1,5,2,8,4,6] => ([(0,3),(0,7),(1,2),(1,7),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,4,7,6,8,2] => [6,8,4,5,2,3,1,7] => [3,1,5,2,7,8,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,7),(4,7),(5,7)],8)
[4,3,5,1,7,6,8,2] => [5,6,4,8,2,3,1,7] => [3,1,7,8,2,6,4,5] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,6,1,7,5,8,2] => [5,6,3,8,2,4,1,7] => [4,1,7,8,2,6,3,5] => ([(0,3),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,5,7,1,8,2] => [5,6,3,4,2,8,1,7] => [7,8,1,4,2,6,3,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,6,4,7,2,8,1] => [4,6,3,5,2,7,1,8] => [7,1,5,2,6,3,4,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,4,7,1,8,2] => [4,6,3,5,2,8,1,7] => [7,8,1,5,2,6,3,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,4,7,5,8,2] => [6,8,3,5,2,4,1,7] => [4,1,5,2,7,8,3,6] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,1,6,4,7,5,8,3] => [7,8,3,5,2,4,1,6] => [4,1,5,2,6,8,3,7] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,1,6,4,7,2,8,5] => [6,8,3,5,2,7,1,4] => [4,7,1,5,2,8,3,6] => ([(0,1),(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,6,3,7,2,8,4] => [4,8,3,6,2,7,1,5] => [5,7,1,6,2,8,3,4] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,6,1,7,2,8,4] => [4,6,3,8,2,7,1,5] => [5,7,1,8,2,6,3,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,3,6,2,7,1,8,4] => [4,6,3,7,2,8,1,5] => [5,8,1,7,2,6,3,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,3,6,2,7,4,8,1] => [4,6,3,7,2,5,1,8] => [5,1,7,2,6,3,4,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,3,7,4,8,1] => [4,7,3,6,2,5,1,8] => [5,1,6,2,7,3,4,8] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,6,3,7,1,8,4] => [4,7,3,6,2,8,1,5] => [5,8,1,6,2,7,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,3,7,1,8,5] => [5,7,3,6,2,8,1,4] => [4,8,1,6,2,7,3,5] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,6,3,7,5,8,1] => [5,7,3,6,2,4,1,8] => [4,1,6,2,7,3,5,8] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[3,2,6,4,7,5,8,1] => [6,7,3,5,2,4,1,8] => [4,1,5,2,7,3,6,8] => ([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[3,2,6,4,7,1,8,5] => [6,7,3,5,2,8,1,4] => [4,8,1,5,2,7,3,6] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,6,1,7,4,8,5] => [6,7,3,8,2,5,1,4] => [4,5,1,8,2,7,3,6] => ([(0,4),(0,5),(1,3),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[3,2,5,1,7,4,8,6] => [6,7,4,8,2,5,1,3] => [3,5,1,8,2,7,4,6] => ([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[3,2,5,1,7,6,8,4] => [6,7,4,8,2,3,1,5] => [3,1,5,8,2,7,4,6] => ([(0,3),(1,5),(1,7),(2,4),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,1,7,5,8,4] => [6,7,3,8,2,4,1,5] => [4,1,5,8,2,7,3,6] => ([(0,5),(1,3),(1,7),(2,4),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,6,5,7,1,8,4] => [6,7,3,4,2,8,1,5] => [5,8,1,4,2,7,3,6] => ([(0,6),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,5,7,1,8,3] => [5,7,3,4,2,8,1,6] => [6,8,1,4,2,7,3,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,2,7,6,8,3] => [5,8,4,7,2,3,1,6] => [3,1,6,7,2,8,4,5] => ([(0,2),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,1,5,2,7,6,8,4] => [6,8,4,7,2,3,1,5] => [3,1,5,7,2,8,4,6] => ([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
[2,1,5,3,7,6,8,4] => [7,8,4,6,2,3,1,5] => [3,1,5,6,2,8,4,7] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8)
[2,1,6,3,7,5,8,4] => [7,8,3,6,2,4,1,5] => [4,1,5,6,2,8,3,7] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[3,1,6,2,7,5,8,4] => [6,8,3,7,2,4,1,5] => [4,1,5,7,2,8,3,6] => ([(0,6),(1,2),(1,7),(2,5),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,1,6,2,7,4,8,3] => [4,8,3,7,2,5,1,6] => [5,1,6,7,2,8,3,4] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,6,4,7,1,8,3] => [4,7,3,5,2,8,1,6] => [6,8,1,5,2,7,3,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,4,7,3,8,1] => [4,7,3,5,2,6,1,8] => [6,1,5,2,7,3,4,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,2,7,3,8,1] => [4,5,3,7,2,6,1,8] => [6,1,7,2,5,3,4,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,6,2,7,1,8,3] => [4,5,3,7,2,8,1,6] => [6,8,1,7,2,5,3,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,4,6,1,7,2,8,3] => [4,5,3,8,2,7,1,6] => [6,7,1,8,2,5,3,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[5,1,6,4,7,2,8,3] => [4,8,3,5,2,7,1,6] => [6,7,1,5,2,8,3,4] => ([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,5,7,2,8,3] => [5,8,3,4,2,7,1,6] => [6,7,1,4,2,8,3,5] => ([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,5,7,4,8,2] => [6,8,3,4,2,5,1,7] => [5,1,4,2,7,8,3,6] => ([(0,7),(1,2),(1,3),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,5,7,3,8,2] => [5,8,3,4,2,6,1,7] => [6,1,4,2,7,8,3,5] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,4,7,3,8,2] => [4,8,3,5,2,6,1,7] => [6,1,5,2,7,8,3,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,1,7,3,8,2] => [4,5,3,8,2,6,1,7] => [6,1,7,8,2,5,3,4] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[5,4,6,3,7,1,8,2] => [4,5,3,6,2,8,1,7] => [7,8,1,6,2,5,3,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,5,2,1,6,4,7] => [1,6,4,7,8,3,5,2] => [1,5,2,8,3,6,4,7] => ([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,6,3,5,2,4,1,7] => [1,3,6,4,7,5,8,2] => [1,8,2,3,7,5,6,4] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,5,7,3,6,1] => [1,7,5,4,2,6,3,8] => [1,6,3,7,5,4,2,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,7,3,1,8,6] => [7,5,4,2,6,8,1,3] => [3,8,1,6,7,5,4,2] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,6,5,3,1,7] => [1,7,5,3,4,6,8,2] => [1,8,2,4,6,7,5,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,5,3,2,7] => [1,3,8,5,4,6,7,2] => [1,7,2,3,6,8,5,4] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,6,4,3,2,7] => [1,8,4,3,5,6,7,2] => [1,7,2,5,6,8,4,3] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,3,2,6,1] => [1,4,2,5,6,7,3,8] => [1,7,3,4,2,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,3,1,8,2,6] => [4,5,2,6,8,1,7,3] => [7,3,8,1,5,2,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,4,5,3,2,8,6] => [8,2,5,4,6,7,1,3] => [3,7,1,5,4,6,8,2] => ([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,1,4,2,8,6] => [6,2,4,8,5,7,1,3] => [3,7,1,4,8,5,6,2] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,7,4,2,1,6,3] => [1,4,2,5,7,8,3,6] => [1,6,8,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,5,1,4,6,2] => [1,6,2,4,8,5,3,7] => [1,7,8,5,3,4,6,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,1,7,5,3,6,2] => [1,5,8,2,4,6,3,7] => [1,6,3,4,7,8,2,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,6,5,8,7,4,1,2] => [6,3,4,1,2,5,8,7] => [2,4,1,5,6,3,8,7] => ([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,5,8,6,7,4,2] => [6,8,4,1,3,2,5,7] => [3,2,5,7,8,4,1,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,6,7,3,5,2] => [5,1,8,3,2,6,4,7] => [6,4,7,8,3,2,5,1] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,5,6,8,2,4] => [8,2,6,4,3,1,7,5] => [7,5,6,4,3,1,8,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,7,5,8,2,4] => [8,6,3,2,4,1,7,5] => [4,1,7,5,8,6,3,2] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,5,8,2,1,4] => [6,2,3,4,1,7,8,5] => [4,1,3,8,5,6,2,7] => ([(0,6),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,8,5,7,2,4,1] => [6,3,1,4,2,7,5,8] => [4,2,7,5,6,3,1,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,6,4,8,1,5] => [6,2,7,3,5,1,8,4] => [8,4,5,1,7,3,6,2] => ([(0,2),(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,1,4,7,8,5] => [6,7,3,8,5,2,1,4] => [4,8,5,2,1,7,3,6] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,3,7,2,1,8,4,6] => [4,6,2,7,8,1,5,3] => [5,3,8,1,6,2,4,7] => ([(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,7,3,2,1,5,8,6] => [5,2,6,7,8,4,1,3] => [3,8,4,1,5,2,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,6,1,3,4,2,5] => [1,2,3,8,6,5,7,4] => [1,2,3,7,4,8,6,5] => ([(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,7,6,3,5,2,4,1] => [1,2,3,6,4,7,5,8] => [1,2,3,7,5,6,4,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,8,1,6,5,3] => [7,2,5,1,8,3,4,6] => [4,6,8,3,5,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,5,7,2,1,3,6,4] => [1,4,2,7,8,6,3,5] => [1,5,8,6,3,4,2,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,1,7,5,2,4] => [1,6,3,8,2,4,7,5] => [1,4,7,5,8,2,6,3] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,6,5,7,4,1,3] => [1,7,3,4,2,5,8,6] => [1,4,2,5,8,6,7,3] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,5,7,6,4,3,1] => [1,7,4,2,3,5,6,8] => [1,3,5,6,7,4,2,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,5,4,1,3] => [7,2,3,1,4,5,8,6] => [3,1,4,5,8,6,7,2] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,5,8,6,4,3] => [8,2,7,4,1,3,5,6] => [3,5,6,7,4,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,8,1,6,5,2,4] => [6,2,1,8,3,4,7,5] => [4,7,5,8,3,6,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,5,1,4,2] => [1,2,3,6,4,8,5,7] => [1,2,3,7,8,5,6,4] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,6,5,1,3,2] => [1,5,2,3,4,8,6,7] => [1,3,4,5,2,7,8,6] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[8,7,1,5,6,4,3,2] => [1,2,8,4,3,5,6,7] => [1,2,5,6,7,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,5,4,3,2] => [1,8,3,2,4,5,6,7] => [1,4,5,6,7,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,2,4,8,7] => [3,4,6,8,7,5,1,2] => [2,8,7,5,1,3,4,6] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,2,1,4,6] => [1,4,6,2,7,8,5,3] => [1,8,5,3,6,2,4,7] => ([(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,5,1,3,6] => [1,2,7,5,4,8,6,3] => [1,2,8,6,3,7,5,4] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,4,5,1,8,7] => [6,3,7,5,4,8,1,2] => [2,8,1,7,5,4,6,3] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,4,5,3,8,7] => [7,3,8,5,4,6,1,2] => [2,6,1,8,5,4,7,3] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,2,4,5,3,8,7] => [3,8,7,5,4,6,1,2] => [2,6,1,3,8,7,5,4] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,3,2,1,4,8,7] => [4,3,6,7,8,5,1,2] => [2,8,5,1,4,3,6,7] => ([(0,7),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,1,2,8,7] => [4,5,6,3,8,7,1,2] => [2,8,7,1,6,3,4,5] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,4,5,2,8,7] => [3,6,8,5,4,7,1,2] => [2,7,1,3,8,5,4,6] => ([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,4,5,2,8,7] => [6,8,3,5,4,7,1,2] => [2,7,1,5,4,8,3,6] => ([(0,3),(1,2),(1,7),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,5,1,2,6] => [1,6,2,5,4,8,7,3] => [1,8,7,3,5,4,6,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,4,5,1,2,6] => [6,2,1,5,4,8,7,3] => [8,7,3,5,4,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,5,3,4,6] => [7,8,1,2,4,6,5,3] => [2,6,5,3,4,8,1,7] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,8,5,7,3,4] => [7,8,3,1,4,2,6,5] => [4,2,6,5,8,3,1,7] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,1,7,2,4] => [4,3,6,1,8,2,7,5] => [7,5,8,2,6,1,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,6,1,4,5,8,3,2] => [2,3,8,5,4,1,6,7] => [6,7,8,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,1,6,3,2] => [1,4,2,5,8,3,6,7] => [1,6,7,8,3,4,2,5] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,8,4,7,6,1,3] => [7,4,1,5,2,3,8,6] => [3,5,2,8,6,7,4,1] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,3,5,6,7,2] => [5,8,1,6,4,3,2,7] => [6,4,3,2,7,8,1,5] => ([(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,3,5,6,7,2] => [1,5,8,6,4,3,2,7] => [1,7,8,6,4,3,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,8,4,3,6,1,2] => [2,4,1,5,6,3,8,7] => [6,3,4,1,2,5,8,7] => ([(0,7),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,3,8,4,1,7,2] => [3,4,6,1,5,8,2,7] => [7,8,2,5,6,1,3,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,8,4,6,7,3] => [7,8,4,1,5,3,2,6] => [5,3,2,6,8,4,1,7] => ([(0,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,5,6,7,4] => [6,8,1,7,4,3,2,5] => [5,7,4,3,2,8,1,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,1,5,6,7,4] => [7,6,1,8,4,3,2,5] => [5,8,4,3,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,3,5,6,7,1] => [5,1,7,6,4,3,2,8] => [7,6,4,3,2,5,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,5,6,7,4] => [6,1,7,8,4,3,2,5] => [5,8,4,3,2,6,1,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,5,6,7,4] => [1,8,7,6,4,3,2,5] => [1,5,8,7,6,4,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,4,3,6,1,5] => [2,1,7,5,6,3,8,4] => [2,1,8,4,6,3,7,5] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,7,8,5,4,3,6] => [7,8,2,1,4,5,6,3] => [6,3,4,5,8,2,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,4,5,3,2,6] => [2,8,1,5,4,6,7,3] => [7,3,5,4,6,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,8,4,5,3,1,6] => [7,2,1,5,4,6,8,3] => [8,3,5,4,6,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,4,3,6,2,5] => [1,2,8,5,6,3,7,4] => [1,2,7,4,6,3,8,5] => ([(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,7,4,2,6,1,5] => [6,1,2,5,7,3,8,4] => [2,8,4,7,3,5,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,4,3,6,2,1] => [4,2,1,5,6,3,7,8] => [6,3,4,2,1,5,7,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,2,1,7,5] => [5,1,6,3,7,8,2,4] => [4,8,2,6,3,5,1,7] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,1,4,2,7,5] => [1,3,6,8,5,7,2,4] => [1,4,7,2,3,8,5,6] => ([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,3,8,2,4,1,6] => [2,4,6,1,7,5,8,3] => [8,3,7,5,6,1,2,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,1,8,5,7,6] => [7,5,6,8,1,4,2,3] => [3,4,2,8,1,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(6,7)],8)
[7,5,3,6,2,8,1,4] => [2,4,6,3,7,1,8,5] => [8,5,7,1,2,6,3,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,3,5,1,2,7,4] => [1,3,6,4,8,7,2,5] => [1,5,8,7,2,3,6,4] => ([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,4,7,6,1,3] => [4,1,7,5,2,3,8,6] => [3,8,6,7,5,2,4,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,4,1,6,2,3] => [1,2,4,5,8,3,7,6] => [1,2,7,6,8,3,4,5] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,6,1,8,2,4] => [4,2,6,3,8,1,7,5] => [7,5,8,1,6,3,4,2] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,7,6,5,8,3,4] => [7,8,2,3,4,1,6,5] => [4,1,3,6,5,8,2,7] => ([(0,5),(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,3,5,2,1,7,4] => [3,1,6,4,7,8,2,5] => [5,8,2,3,1,6,4,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,8,5,4,2,6,1,3] => [2,1,4,5,7,3,8,6] => [2,1,8,6,7,3,4,5] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,2,5,6,7,3] => [1,8,5,7,4,3,2,6] => [1,6,7,4,3,2,8,5] => ([(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,2,5,6,7,3] => [5,1,8,7,4,3,2,6] => [6,8,7,4,3,2,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,1,5,6,7,2] => [6,5,1,8,4,3,2,7] => [7,8,4,3,2,6,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,1,8,5,6,7,3] => [7,5,8,1,4,3,2,6] => [4,3,2,6,8,1,7,5] => ([(0,5),(0,6),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[8,4,2,1,5,6,7,3] => [1,5,7,8,4,3,2,6] => [1,6,8,4,3,2,5,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,4,8,6,1,3] => [2,4,7,5,1,3,8,6] => [3,8,6,7,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,2,8,1,7,4] => [3,4,6,7,1,8,2,5] => [5,8,2,7,1,3,4,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,1,5,3,8,6,7,4] => [7,8,4,6,1,3,2,5] => [3,2,5,6,1,8,4,7] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6)],8)
[6,4,3,5,8,1,7,2] => [3,5,6,4,1,8,2,7] => [7,8,2,6,4,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,4,8,6,1,2] => [2,6,4,5,1,3,8,7] => [3,5,1,2,6,4,8,7] => ([(0,6),(1,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[4,3,1,8,5,6,7,2] => [5,6,8,1,4,3,2,7] => [4,3,2,7,8,1,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,3,7,2,8,4,1] => [3,4,6,2,7,1,5,8] => [5,7,1,6,2,3,4,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,3,7,4,5,8,2,1] => [3,6,2,5,4,1,7,8] => [5,4,1,6,2,3,7,8] => ([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,4,8,6,3,2] => [4,8,2,5,1,3,6,7] => [3,5,1,6,7,8,2,4] => ([(0,4),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[2,5,7,4,8,6,3,1] => [7,4,2,5,1,3,6,8] => [3,5,1,6,7,4,2,8] => ([(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,6,3,7,1,8,4,2] => [4,3,6,2,8,1,5,7] => [5,7,8,1,6,2,4,3] => ([(0,2),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,4,8,6,2,3] => [4,2,8,5,1,3,7,6] => [3,7,6,8,5,1,4,2] => ([(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,3,1,8,2,7,4] => [4,3,6,8,1,7,2,5] => [5,7,2,8,1,4,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[4,6,3,5,8,2,7,1] => [5,3,6,4,1,7,2,8] => [7,2,6,4,1,5,3,8] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,1,2,7,5] => [5,3,6,1,8,7,2,4] => [4,8,7,2,6,1,5,3] => ([(0,2),(0,4),(0,5),(1,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,4,7,1,8,6] => [6,4,7,5,2,8,1,3] => [3,8,1,7,5,2,6,4] => ([(0,1),(0,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,8,3,7,6,1] => [5,7,4,1,6,2,3,8] => [3,6,2,7,4,1,5,8] => ([(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,5,3,8,1,7] => [5,7,3,4,6,1,8,2] => [8,2,6,1,4,7,3,5] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,1,6,8,3,7] => [4,5,7,8,3,1,6,2] => [6,2,8,3,1,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,1,4,8,2,7] => [3,6,4,8,5,1,7,2] => [7,2,8,5,1,3,6,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,6,4,3,8,2,7] => [4,8,3,5,6,1,7,2] => [7,2,6,1,5,8,3,4] => ([(0,4),(0,5),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,7,1,8,6] => [4,5,6,7,2,8,1,3] => [3,8,1,7,2,4,5,6] => ([(0,4),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,4,3,8,2,7,6,1] => [4,5,6,1,7,2,3,8] => [3,7,2,6,1,4,5,8] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,8,7,5,1] => [5,6,3,7,1,2,4,8] => [2,4,7,1,6,3,5,8] => ([(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,3,1,7,2,8,5] => [3,5,6,8,2,7,1,4] => [4,7,1,8,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,4,3,1,8,2,6] => [2,4,5,6,8,1,7,3] => [7,3,8,1,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,4,7,5,8,3,2,6] => [8,5,2,4,1,6,7,3] => [7,3,4,1,6,8,5,2] => ([(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,8,4,1,3,6] => [2,7,4,1,5,8,6,3] => [8,6,3,5,7,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,5,7,4,6,1,3] => [7,1,4,2,5,3,8,6] => [5,3,4,2,8,6,7,1] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,8,7,3,6,2] => [8,5,4,1,2,6,3,7] => [2,6,3,7,8,5,4,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,1,7,5,2] => [3,5,6,1,8,2,4,7] => [4,7,8,2,6,1,3,5] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,7,6,4,2,1] => [4,6,1,2,3,5,7,8] => [2,3,5,6,1,4,7,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,3,1,8,6,4,2] => [2,4,6,8,1,3,5,7] => [3,5,7,8,1,2,4,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,8,7,3,5,2] => [5,3,8,1,2,6,4,7] => [2,6,4,7,8,1,5,3] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[7,6,2,8,4,1,3,5] => [2,3,7,1,5,8,6,4] => [8,6,4,5,7,1,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,5,3,2,8,4] => [3,8,2,4,6,7,1,5] => [5,7,1,4,6,8,2,3] => ([(0,6),(0,7),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,3,2,1,8,4] => [2,3,4,6,7,8,1,5] => [5,8,1,2,3,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,3,8,7,4,1] => [4,7,3,6,1,2,5,8] => [2,5,6,1,7,3,4,8] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,2,7,6,3,1,8,4] => [4,7,2,3,6,8,1,5] => [5,8,1,3,6,7,2,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,5,2,1,7,3,8,4] => [3,4,7,8,2,6,1,5] => [5,6,1,8,2,3,4,7] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,2,7,4,1,8,3,6] => [4,7,2,5,8,1,6,3] => [6,3,8,1,5,7,2,4] => ([(0,1),(0,5),(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,6,3,1,8,5] => [5,2,7,3,6,8,1,4] => [4,8,1,6,7,3,5,2] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,6,3,7,5,1] => [7,5,1,3,6,2,4,8] => [4,6,2,3,7,5,1,8] => ([(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,2,4,7,5,1] => [6,1,3,7,5,2,4,8] => [4,7,5,2,3,6,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,2,4,1,8,5] => [2,6,3,7,5,8,1,4] => [4,8,1,2,7,5,6,3] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,7,8,2,1,5,6] => [5,6,2,1,7,8,4,3] => [8,4,3,6,2,1,5,7] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,5,7,1,6,4] => [6,1,7,4,2,8,3,5] => [5,8,3,7,4,2,6,1] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,6,2,1,5,4] => [2,1,6,3,7,8,4,5] => [2,1,5,8,4,6,3,7] => ([(0,1),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,8,1,7,5,3] => [5,7,3,1,8,2,4,6] => [4,6,8,2,7,3,1,5] => ([(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,2,7,1,6,3] => [4,5,1,7,2,8,3,6] => [6,8,3,7,2,5,1,4] => ([(0,2),(0,3),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,8,1,5,7,2,6,3] => [5,1,8,4,2,7,3,6] => [6,7,3,8,4,2,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,1,6,2,4] => [4,1,6,2,8,3,7,5] => [7,5,8,3,6,2,4,1] => ([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,7,5,1,3,4] => [1,3,7,2,4,8,6,5] => [1,4,8,6,5,7,2,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,8,2,7,4,3] => [4,8,3,1,7,2,5,6] => [5,6,7,2,8,3,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,2,7,1,8,6,4,3] => [4,7,2,8,1,3,5,6] => [3,5,6,8,1,7,2,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(5,6),(5,7)],8)
[5,8,2,7,6,4,3,1] => [4,1,7,2,3,5,6,8] => [3,5,6,7,2,4,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,8,7,5,4,3,1] => [3,7,1,2,4,5,6,8] => [2,4,5,6,7,1,3,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,2,1,8,5,4,3] => [2,3,7,8,1,4,5,6] => [4,5,6,8,1,2,3,7] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,1,7,2,8,5,4,3] => [3,8,2,7,1,4,5,6] => [4,5,6,7,1,8,2,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,1,8,2,6,4,3] => [2,4,8,1,7,3,5,6] => [5,6,7,3,8,1,2,4] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7)],8)
[8,7,4,6,1,5,3,2] => [1,2,5,3,8,4,6,7] => [1,2,6,7,8,4,5,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,7,1,6,4,3,2] => [1,4,2,8,3,5,6,7] => [1,5,6,7,8,3,4,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,1,7,5,4,3,2] => [3,1,8,2,4,5,6,7] => [4,5,6,7,8,2,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,8,6,5,4,3,2] => [2,8,1,3,4,5,6,7] => [3,4,5,6,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,2,3,7,6,1,8] => [4,5,7,6,2,3,8,1] => [8,1,3,7,6,2,4,5] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,7,3,5,1,8] => [3,5,7,2,6,4,8,1] => [8,1,6,4,7,2,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,2,6,3,1,5,7] => [1,5,7,3,6,8,4,2] => [1,8,4,2,6,7,3,5] => ([(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,6,4,5,1,8] => [6,7,2,3,5,4,8,1] => [8,1,3,5,4,7,2,6] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,6,3,5,1,8] => [5,2,7,3,6,4,8,1] => [8,1,6,4,7,3,5,2] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,2,3,4,1,8] => [4,2,3,7,6,5,8,1] => [8,1,3,4,2,7,6,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,7,5,2,8,3,4,6] => [8,2,4,7,1,6,5,3] => [6,5,3,7,1,4,8,2] => ([(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,6,3,1,5,7] => [5,1,7,3,6,8,4,2] => [8,4,2,6,7,3,5,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,6,4,1,5,7] => [6,7,1,3,5,8,4,2] => [8,4,2,3,5,7,1,6] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,4,8,5,7] => [6,7,8,3,5,1,4,2] => [4,2,5,1,8,3,6,7] => ([(0,7),(1,7),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[7,1,5,2,8,3,4,6] => [2,8,4,7,1,6,5,3] => [6,5,3,7,1,2,8,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,2,7,3,4,6] => [8,1,4,7,2,6,5,3] => [6,5,3,7,2,4,8,1] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,7,2,3,4,5] => [8,1,3,2,7,6,5,4] => [3,2,7,6,5,4,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,2,3,4,5] => [1,8,3,2,7,6,5,4] => [1,7,6,5,4,8,3,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,8,2,3,4,5] => [2,8,3,1,7,6,5,4] => [7,6,5,4,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,1,7,8,4,5,6] => [6,7,8,2,1,5,4,3] => [5,4,3,8,2,1,6,7] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,7,1,4,5,6] => [6,7,1,2,8,5,4,3] => [2,8,5,4,3,7,1,6] => ([(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,1,3,4,6] => [4,1,2,7,8,6,5,3] => [2,8,6,5,3,4,1,7] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,8,2,3,4,5] => [8,2,3,1,7,6,5,4] => [3,1,7,6,5,4,8,2] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,2,3,1,4,7] => [3,4,1,7,6,8,5,2] => [8,5,2,4,1,3,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,3,8,1,6,7] => [4,5,7,6,1,8,3,2] => [8,3,2,7,6,1,4,5] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,1,8,6,7] => [6,7,4,5,8,1,3,2] => [3,2,8,1,5,7,4,6] => ([(0,1),(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,1,8,6,7] => [5,4,7,6,8,1,3,2] => [3,2,8,1,5,4,7,6] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,4,2,3,1,8,6,7] => [4,5,7,6,8,1,3,2] => [3,2,8,1,4,5,7,6] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,4,2,1,3,8,5,7] => [3,5,7,8,6,1,4,2] => [4,2,8,6,1,3,5,7] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,1,8,3,5,6] => [2,5,7,8,1,6,4,3] => [6,4,3,8,1,2,5,7] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,2,1,7,3,5,6] => [1,5,7,8,2,6,4,3] => [1,6,4,3,8,2,5,7] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,2,8,7,3,5,6] => [8,5,7,1,2,6,4,3] => [2,6,4,3,7,1,8,5] => ([(0,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,8,2,7,3,4,6] => [8,4,1,7,2,6,5,3] => [6,5,3,7,2,8,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,2,1,3,8,5,7] => [5,3,7,8,6,1,4,2] => [4,2,8,6,1,5,3,7] => ([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,7,1,8,4,5,6] => [6,7,2,8,1,5,4,3] => [5,4,3,8,1,7,2,6] => ([(0,1),(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,7,2,1,8,3,5,6] => [5,2,7,8,1,6,4,3] => [6,4,3,8,1,5,2,7] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,1,8,2,3,4,5] => [2,3,8,1,7,6,5,4] => [7,6,5,4,8,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,2,3,4,5] => [1,3,8,2,7,6,5,4] => [1,7,6,5,4,8,2,3] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,8,7,2,3,4,5] => [8,3,1,2,7,6,5,4] => [2,7,6,5,4,8,3,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,6,2,3,4,5] => [8,2,1,3,7,6,5,4] => [3,7,6,5,4,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,2,3,4,5] => [2,1,8,3,7,6,5,4] => [2,1,7,6,5,4,8,3] => ([(0,7),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,7,2,3,4,5] => [3,1,8,2,7,6,5,4] => [7,6,5,4,8,2,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,2,1,7,3,5,6] => [5,1,7,8,2,6,4,3] => [6,4,3,8,2,5,1,7] => ([(0,4),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,1,7,4,5,6] => [6,7,1,8,2,5,4,3] => [5,4,3,8,2,7,1,6] => ([(0,1),(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,7,4,5,6] => [6,7,8,1,2,5,4,3] => [2,5,4,3,8,1,6,7] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,8,7,2,3,4,5] => [3,8,1,2,7,6,5,4] => [2,7,6,5,4,8,1,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,7,6,2,3,4,5] => [8,1,2,3,7,6,5,4] => [2,3,7,6,5,4,8,1] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,2,1,4,6] => [1,6,2,4,7,8,5,3] => [1,8,5,3,4,6,2,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,5,1,8,4,2] => [3,6,2,4,8,1,5,7] => [5,7,8,1,4,6,2,3] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,5,4,3,8,7] => [7,3,8,4,5,6,1,2] => [2,6,1,5,8,4,7,3] => ([(0,2),(1,3),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,5,1,2,8,7] => [3,5,6,4,8,7,1,2] => [2,8,7,1,3,6,4,5] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,4,6,2,8,7] => [4,6,8,5,3,7,1,2] => [2,7,1,8,5,3,4,6] => ([(0,2),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,1,4,7,2,6,3,5] => [1,8,5,2,7,3,6,4] => [1,6,4,7,3,8,5,2] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,3,5,1,7,4,2] => [1,3,6,4,8,2,5,7] => [1,5,7,8,2,3,6,4] => ([(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,4,8,1,6,3,2] => [2,4,5,1,8,3,6,7] => [6,7,8,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,1,4,6,8,2,7,3] => [4,8,5,3,1,7,2,6] => [6,7,2,8,5,3,1,4] => ([(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,3,7,5,8,1] => [7,5,3,6,2,4,1,8] => [4,1,6,2,7,5,3,8] => ([(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,6,3,8,5,7,2] => [5,8,3,6,1,4,2,7] => [4,2,6,1,7,8,3,5] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7)],8)
[3,7,4,2,8,6,5,1] => [6,2,5,7,1,3,4,8] => [3,4,7,1,5,6,2,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,5,8,4,1,7,3,2] => [3,4,1,5,8,2,6,7] => [6,7,8,2,4,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,5,3,7,4,1,6,2] => [1,4,6,2,5,8,3,7] => [1,7,8,3,5,6,2,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,4,8,3,7,6,5] => [7,8,5,1,6,2,3,4] => [3,4,6,2,8,5,1,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,7,4,1,8,2,5] => [3,6,2,5,8,1,7,4] => [7,4,8,1,5,6,2,3] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,8,1,6,7,5,4] => [7,6,1,8,3,2,4,5] => [4,5,8,3,2,7,6,1] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,3,8,5,6,1] => [5,2,7,6,1,4,3,8] => [4,3,7,6,1,5,2,8] => ([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,7,8,5,4,3,1,6] => [7,2,1,4,5,6,8,3] => [8,3,4,5,6,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,7,2,4,1,5] => [6,1,3,2,7,5,8,4] => [3,2,8,4,7,5,6,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,2,1,6,5] => [5,6,1,2,7,8,3,4] => [2,4,8,3,6,1,5,7] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,1,4,2,7,5] => [1,6,3,8,5,7,2,4] => [1,4,7,2,8,5,6,3] => ([(1,2),(1,7),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,8,5,7,6] => [7,6,5,8,1,4,2,3] => [3,4,2,8,1,7,6,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,7),(6,7)],8)
[4,1,3,2,6,7,8,5] => [5,8,6,7,3,2,1,4] => [4,7,3,2,1,5,8,6] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,1,8,7,2,4] => [4,6,3,8,1,2,7,5] => [2,7,5,8,1,6,3,4] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,1,4,2,3] => [2,1,4,3,8,5,7,6] => [2,1,4,3,7,6,8,5] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,5,4,7,1,3] => [7,1,3,4,5,2,8,6] => [5,2,3,4,8,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,8,3,6,1,7,2,4] => [4,1,6,3,8,2,7,5] => [7,5,8,2,6,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,3,6,8,4] => [7,8,2,4,6,3,1,5] => [5,6,3,1,4,8,2,7] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,5,2,1,8,4] => [3,2,6,4,7,8,1,5] => [5,8,1,3,2,6,4,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,4,1,6,5,8,3] => [7,2,5,8,3,4,1,6] => [4,1,6,8,3,5,7,2] => ([(0,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,5,8,7,6,3] => [7,5,8,4,1,2,3,6] => [2,3,6,8,4,1,7,5] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,2,5,8,6,7,3] => [5,8,7,4,1,3,2,6] => [3,2,6,8,7,4,1,5] => ([(0,1),(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,1,5,8,7,3] => [3,5,7,8,4,1,2,6] => [2,6,8,4,1,3,5,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,5,2,4,6,1,7,3] => [1,4,7,5,3,8,2,6] => [1,6,8,2,7,5,3,4] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,5,3,2,6,8,1,4] => [2,4,6,7,3,1,8,5] => [8,5,7,3,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,5,3,6,8,7,4] => [7,8,4,6,3,1,2,5] => [2,5,6,3,1,8,4,7] => ([(0,7),(1,2),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,4,6,1,8,2] => [2,6,4,5,3,8,1,7] => [7,8,1,2,5,3,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,4,1,5,7,8,2] => [3,6,5,8,4,2,1,7] => [7,8,4,2,1,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,1,5,7,6,8,2] => [5,6,8,4,2,3,1,7] => [3,1,7,8,4,2,5,6] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,4,5,6,8,7,2] => [6,8,5,4,3,1,2,7] => [2,7,8,5,4,3,1,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,2,6,3,1,8,7] => [5,4,7,3,6,8,1,2] => [2,8,1,6,7,3,5,4] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,2,1,4,3,8,7] => [3,4,7,8,5,6,1,2] => [2,6,1,3,4,8,5,7] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[8,3,7,5,2,1,6,4] => [1,6,2,4,7,8,3,5] => [1,5,8,3,4,6,2,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,2,4,1,8,7] => [4,3,6,7,5,8,1,2] => [2,8,1,4,3,7,5,6] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,2,4,1,5,8,7] => [6,3,7,5,8,4,1,2] => [2,8,4,1,7,5,6,3] => ([(0,4),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,3,5,4,8,7] => [7,3,8,6,4,5,1,2] => [2,5,1,8,6,4,7,3] => ([(0,2),(1,5),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,3,4,1,6,5] => [1,2,7,6,5,8,3,4] => [1,2,4,8,3,7,6,5] => ([(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,3,8,4,6,2] => [4,8,2,6,1,5,3,7] => [5,3,6,1,7,8,2,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7)],8)
[2,5,7,3,8,6,4,1] => [7,4,2,6,1,3,5,8] => [3,5,6,1,7,4,2,8] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,6,1,3,5,8,4,2] => [2,3,8,6,4,1,5,7] => [5,7,8,6,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,7,4,8,1,2] => [4,3,6,2,5,1,8,7] => [5,1,6,2,4,3,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,7,4,8,5,3] => [7,8,3,2,5,1,4,6] => [4,5,1,6,8,3,2,7] => ([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,4,3,6,5] => [7,8,1,2,5,6,3,4] => [2,4,6,3,5,8,1,7] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,4,1,2,6,5] => [6,1,2,5,8,7,3,4] => [2,4,8,7,3,5,6,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,3,5,2,6,4] => [2,1,8,6,4,7,3,5] => [2,1,5,7,3,8,6,4] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,3,1,5,7,4] => [7,1,3,6,8,4,2,5] => [5,8,4,2,3,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,3,2,5,4,7] => [1,8,3,6,7,4,5,2] => [1,5,2,7,4,6,8,3] => ([(1,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,4,1,6,3,7,5] => [7,1,5,8,3,6,2,4] => [4,6,2,8,3,5,7,1] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,2,7,6,3,5] => [5,1,8,7,2,3,6,4] => [3,6,4,8,7,2,5,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,2,5,7,1,6] => [6,1,5,7,4,2,8,3] => [8,3,7,4,2,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,5,2,7,4,1] => [3,1,6,4,7,2,5,8] => [5,7,2,3,1,6,4,8] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,1,5,3,8,7,6,4] => [7,8,4,6,1,2,3,5] => [2,3,5,6,1,8,4,7] => ([(0,7),(1,7),(2,3),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,4,8,1,6,3] => [2,4,7,5,1,8,3,6] => [6,8,3,7,5,1,2,4] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,4,1,8,7,6,5,3] => [7,5,8,1,2,3,4,6] => [2,3,4,6,8,1,7,5] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[4,3,1,8,6,7,5,2] => [5,6,8,1,3,2,4,7] => [3,2,4,7,8,1,5,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,4,8,6,5,7,2] => [6,8,5,1,3,4,2,7] => [4,2,3,7,8,5,1,6] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[7,1,6,5,4,8,2,3] => [2,8,3,4,5,1,7,6] => [5,1,2,4,7,6,8,3] => ([(0,7),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,6,2,5,1,7,4,3] => [1,3,7,4,8,2,5,6] => [1,5,6,8,2,3,7,4] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,6,2,1,8,7,3,4] => [4,3,7,8,1,2,6,5] => [2,6,5,8,1,4,3,7] => ([(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,6,2,5,8,3,7,1] => [5,3,7,4,1,6,2,8] => [6,2,7,4,1,5,3,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,3,1,8,5,6,7] => [7,5,6,8,1,4,3,2] => [4,3,2,8,1,6,7,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,7),(6,7)],8)
[7,5,2,8,3,4,6,1] => [2,4,7,1,6,5,3,8] => [6,5,3,7,1,2,4,8] => ([(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,8,4,3,1,7] => [4,3,7,1,5,6,8,2] => [8,2,5,6,7,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,7,2,8,1,5,3,6] => [5,2,7,1,8,4,6,3] => [6,3,8,4,7,1,5,2] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,7,2,1,4,5,6,3] => [1,2,7,8,5,4,3,6] => [1,2,6,8,5,4,3,7] => ([(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,7,1,5,4,2] => [6,3,1,2,8,4,5,7] => [2,5,7,8,4,6,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,3,4,1,2] => [4,2,1,3,6,5,8,7] => [3,4,2,1,6,5,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,5,4,3,6,2] => [2,8,1,4,5,6,3,7] => [6,3,4,5,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,8,4,5,3,6,1] => [7,2,1,5,4,6,3,8] => [6,3,5,4,7,2,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,1,4,6,2] => [4,2,6,1,8,5,3,7] => [7,8,5,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,5,4,6,3] => [7,8,2,1,4,5,3,6] => [5,3,4,6,8,2,1,7] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,8,4,6,3,7] => [7,8,4,1,5,3,6,2] => [6,2,5,3,8,4,1,7] => ([(0,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,4,1,2,7] => [3,4,6,1,5,8,7,2] => [8,7,2,5,6,1,3,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,1,7,2,5,6] => [6,5,1,8,2,7,4,3] => [7,4,3,8,2,6,5,1] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,3,7,2,6,5] => [1,5,8,6,2,7,3,4] => [1,4,7,3,8,6,2,5] => ([(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,4,7,6,5] => [6,8,1,7,5,2,3,4] => [3,4,7,5,2,8,1,6] => ([(0,3),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,1,4,6,7,5] => [7,6,1,8,5,3,2,4] => [4,8,5,3,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,5,1,7,6] => [5,6,1,7,4,8,2,3] => [3,8,2,7,4,6,1,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,4,2,5,7,1] => [3,6,1,5,7,4,2,8] => [7,4,2,5,6,1,3,8] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,8,2,5,1,6] => [2,5,6,1,7,4,8,3] => [8,3,7,4,6,1,2,5] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,4,3,5,1,7] => [3,1,7,5,6,4,8,2] => [8,2,3,1,6,4,7,5] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,3,5,1,6,7] => [5,1,7,6,4,8,3,2] => [8,3,2,7,6,4,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,6,1,4,3,2] => [2,4,1,3,8,5,6,7] => [3,4,1,2,6,7,8,5] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[4,1,2,3,7,6,8,5] => [5,8,7,6,2,3,1,4] => [3,1,4,8,7,6,2,5] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,3,6,2,7,5] => [5,8,1,6,3,7,2,4] => [4,7,2,6,3,8,1,5] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,1,4,3,2] => [2,1,4,3,8,5,6,7] => [2,1,4,3,6,7,8,5] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8)
[7,8,2,1,6,5,3,4] => [2,1,7,8,3,4,6,5] => [2,1,4,6,5,8,3,7] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,6,5,4,1,2] => [2,1,6,3,4,5,8,7] => [2,1,4,5,6,3,8,7] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8)
[7,8,1,6,5,4,3,2] => [2,1,8,3,4,5,6,7] => [2,1,4,5,6,7,8,3] => ([(0,1),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,8,2,6,4,7,5] => [8,6,1,7,3,5,2,4] => [4,5,2,7,3,8,6,1] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,8,7,5,6,1,2] => [5,6,1,2,4,3,8,7] => [2,4,3,6,1,5,8,7] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,2,8,1,3] => [5,4,3,2,7,1,8,6] => [8,6,7,1,5,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,7,6,1,8,3,2] => [5,4,2,3,8,1,6,7] => [6,7,8,1,3,5,4,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,2,4,7,8,3,5] => [8,3,7,5,2,1,6,4] => [6,4,7,5,2,1,8,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,7,5,8,1,4,3,2] => [3,2,4,1,8,5,6,7] => [4,1,3,2,6,7,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[5,8,7,6,3,4,1,2] => [4,1,2,3,6,5,8,7] => [2,3,4,1,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8)
[5,8,7,6,2,3,1,4] => [4,1,2,3,7,6,8,5] => [2,3,4,1,8,5,7,6] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[4,2,7,8,1,6,3,5] => [5,7,2,1,8,3,6,4] => [6,4,8,3,7,2,1,5] => ([(0,2),(0,4),(0,5),(1,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,5,6,8,1,2] => [5,6,2,4,3,1,8,7] => [4,3,1,6,2,5,8,7] => ([(0,1),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,5,2,4,3] => [8,3,1,2,4,7,5,6] => [2,4,6,7,5,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,6,5,4,1,2] => [6,1,2,3,4,5,8,7] => [2,3,4,5,6,1,8,7] => ([(0,1),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,3,6,1,8,2,4] => [2,4,6,3,8,1,7,5] => [7,5,8,1,2,6,3,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,3,7,1,2,5,8,6] => [5,6,2,8,7,4,1,3] => [3,8,7,4,1,6,2,5] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,5,2,8,1,3] => [3,5,2,4,7,1,8,6] => [8,6,7,1,4,5,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,2,6,3,7,1,4] => [4,1,7,3,6,2,8,5] => [8,5,6,2,7,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,7,2,8,1,3] => [4,5,3,2,7,1,8,6] => [8,6,7,1,5,3,2,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,6,4,7,8,1,2] => [4,6,3,5,2,1,8,7] => [5,2,1,6,3,4,8,7] => ([(0,1),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,2,8,1,6,3,4] => [4,2,7,1,8,3,6,5] => [6,5,8,3,7,1,4,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,4,7,5,1,2,3] => [3,1,5,2,4,8,7,6] => [4,5,2,3,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,7,6,1,3,4,5] => [7,1,2,3,8,6,5,4] => [2,3,8,6,5,4,7,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,1,2,6,4] => [4,2,6,1,8,7,3,5] => [5,8,7,3,6,1,4,2] => ([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,4,5,3,2,6] => [1,2,8,5,4,6,7,3] => [1,2,7,3,6,8,5,4] => ([(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,7,8,1,9] => [8,7,6,5,4,3,2,9,1] => [9,1,8,7,6,5,4,3,2] => ([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,6,7,8,9,10,1] => [9,8,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,2,1,10] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,5,6,7,8,9,1,10] => [9,8,7,6,5,4,3,2,10,1] => [10,1,9,8,7,6,5,4,3,2] => ([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,5,6,7,8,9,10,1,2] => [8,7,6,5,4,3,2,1,10,9] => [8,7,6,5,4,3,2,1,10,9] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,7,6,2,3,8,1] => [4,5,2,3,7,6,1,8] => [7,6,1,3,5,2,4,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,3,1,8,4,7] => [4,3,7,6,8,1,5,2] => [5,2,8,1,4,3,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,5,2,7,1,4] => [3,1,6,4,7,2,8,5] => [8,5,7,2,3,1,6,4] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,8,7,1,2] => [4,5,3,6,1,2,8,7] => [2,6,1,5,3,4,8,7] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,8,7,2,4,6] => [4,6,8,1,2,7,5,3] => [2,7,5,3,8,1,4,6] => ([(0,7),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,8,2,5,1,4] => [3,2,6,1,7,4,8,5] => [8,5,7,4,6,1,3,2] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,7,6,1,2,3] => [4,5,1,2,3,8,7,6] => [2,3,5,1,4,8,7,6] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[8,1,6,7,3,2,5,4] => [1,8,3,2,6,7,4,5] => [1,5,7,4,6,8,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,3,7,2,4,6] => [1,8,4,6,2,7,5,3] => [1,7,5,3,6,2,8,4] => ([(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,5,3,6,2,4,7] => [1,8,4,6,3,7,5,2] => [1,7,5,2,6,3,8,4] => ([(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,3,6,2,4,8] => [2,4,8,6,3,7,5,1] => [7,5,1,2,8,6,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,3,2,6,5,1] => [2,5,1,6,7,3,4,8] => [4,7,3,5,1,2,6,8] => ([(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,1,3,2,6,5,8] => [2,5,8,6,7,3,4,1] => [4,1,2,7,3,5,8,6] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,4,3,2,6,5,7] => [1,8,5,6,7,3,4,2] => [1,4,2,7,3,6,8,5] => ([(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(6,7)],8)
[8,1,5,4,6,7,2,3] => [1,8,4,5,3,2,7,6] => [1,5,3,2,7,6,8,4] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[8,1,4,3,2,5,7,6] => [1,8,5,6,7,4,2,3] => [1,3,7,4,2,6,8,5] => ([(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,3,2,5,6,7] => [1,8,5,6,7,4,3,2] => [1,7,4,3,2,6,8,5] => ([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,3,1,2,5,8,7] => [3,5,6,8,7,4,1,2] => [2,8,7,4,1,3,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,2,5,8,6] => [2,5,8,6,7,4,1,3] => [3,7,4,1,2,5,8,6] => ([(0,3),(1,7),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,1,3,6,2,8,4] => [2,4,8,6,3,7,1,5] => [5,7,1,2,8,6,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,4,6,8,2,3] => [2,4,8,5,3,1,7,6] => [7,6,8,5,3,1,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,3,6,2,1,4] => [2,4,1,6,3,7,8,5] => [8,5,6,3,4,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,8,3,2,6,1,5] => [2,5,1,6,7,3,8,4] => [8,4,7,3,5,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,3,2,5,1,6] => [2,5,1,6,7,4,8,3] => [8,3,7,4,5,1,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,2,5,1,7] => [3,5,6,1,7,4,8,2] => [8,2,7,4,6,1,3,5] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,7,2,5,8,1] => [3,5,6,2,7,4,1,8] => [7,4,1,6,2,3,5,8] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,3,2,8,6,1,7] => [4,5,6,7,1,3,8,2] => [8,2,3,7,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,8,7,1,6] => [4,5,6,7,1,2,8,3] => [2,8,3,7,1,4,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,7,2,8,4] => [3,4,6,8,2,7,1,5] => [5,7,1,8,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,3,1,2,7,8,5] => [3,5,6,8,7,2,1,4] => [4,8,7,2,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,1,8,6,7] => [4,5,6,7,8,1,3,2] => [3,2,8,1,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,5,3,1,8,2,7,4] => [3,4,6,8,1,7,2,5] => [5,7,2,8,1,3,4,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(5,6),(5,7)],8)
[7,5,1,4,8,6,2,3] => [2,4,8,5,1,3,7,6] => [3,7,6,8,5,1,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,1,3,2,8,6,5] => [2,5,8,6,7,1,3,4] => [3,4,7,1,2,5,8,6] => ([(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,4,3,1,2,7,5,8] => [3,5,6,8,7,2,4,1] => [4,1,8,7,2,3,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,5,3,8,7,2,4,1] => [3,4,6,1,2,7,5,8] => [2,7,5,6,1,3,4,8] => ([(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,7,2,4,8] => [3,4,6,8,2,7,5,1] => [7,5,1,8,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,5,1,3,8,2,4,6] => [2,4,8,6,1,7,5,3] => [7,5,3,8,6,1,2,4] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,8,3,2,4,5] => [2,3,8,1,6,7,5,4] => [7,5,4,6,8,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,1,8,4,5,2,3] => [2,3,8,1,5,4,7,6] => [5,4,7,6,8,1,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,6,8,1,4,5,2,3] => [2,3,1,8,5,4,7,6] => [3,1,2,7,6,8,5,4] => ([(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,1,3,2,5,4] => [2,3,1,8,6,7,4,5] => [3,1,2,5,7,4,8,6] => ([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8)
[6,5,3,7,8,2,4,1] => [3,4,6,2,1,7,5,8] => [7,5,6,2,1,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,7,2,8,5,1] => [3,5,6,2,7,1,4,8] => [4,7,1,6,2,3,5,8] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,4,3,7,2,1,5,8] => [3,5,6,2,7,8,4,1] => [8,4,1,6,2,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,8,3,1,2,6,4] => [2,4,1,6,8,7,3,5] => [5,8,7,3,4,1,2,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,8,1,7,2,3] => [3,4,5,1,8,2,7,6] => [7,6,8,2,5,1,3,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,1,2,7,4] => [3,4,6,1,8,7,2,5] => [5,8,7,2,6,1,3,4] => ([(0,1),(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,8,1,7,6] => [4,5,6,7,1,8,2,3] => [3,8,2,7,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,7,2,1,8,5] => [3,5,6,2,7,8,1,4] => [4,8,1,6,2,3,5,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,5,3,7,1,2,8,4] => [3,4,6,2,8,7,1,5] => [5,8,7,1,6,2,3,4] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[6,5,4,7,1,8,2,3] => [3,4,5,2,8,1,7,6] => [7,6,8,1,5,2,3,4] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,5,3,7,8,2,1,4] => [3,4,6,2,1,7,8,5] => [8,5,6,2,1,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,7,2,8,1,5] => [3,5,6,2,7,1,8,4] => [8,4,7,1,6,2,3,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,7,8,1,6] => [4,5,6,7,2,1,8,3] => [8,3,7,2,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,8,7,4,3] => [3,4,7,8,1,2,5,6] => [2,5,6,8,1,3,4,7] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,6,2,5,3,4,7,8] => [8,3,7,4,6,5,2,1] => [6,5,2,1,7,4,8,3] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,3,5,4,6] => [8,1,7,2,6,4,5,3] => [5,3,6,4,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,8,3,5,4,6] => [8,2,7,1,6,4,5,3] => [5,3,6,4,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,8,3,5,4,7] => [8,3,7,1,6,4,5,2] => [5,2,6,4,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,8,3,6,4,7] => [8,4,7,1,6,3,5,2] => [5,2,6,3,7,1,8,4] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[1,4,2,8,3,6,5,7] => [8,5,7,1,6,3,4,2] => [4,2,6,3,7,1,8,5] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8)
[1,3,2,8,4,6,5,7] => [8,6,7,1,5,3,4,2] => [4,2,5,3,7,1,8,6] => ([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,4,6,5,7] => [8,7,6,1,5,3,4,2] => [4,2,5,3,8,7,6,1] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,7,4,6,5,8] => [8,6,7,2,5,3,4,1] => [4,1,5,3,7,2,8,6] => ([(0,6),(1,4),(2,4),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,3,6,5,8] => [8,5,7,2,6,3,4,1] => [4,1,6,3,7,2,8,5] => ([(0,6),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,7)],8)
[1,5,2,7,3,6,4,8] => [8,4,7,2,6,3,5,1] => [5,1,6,3,7,2,8,4] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[1,6,2,7,3,5,4,8] => [8,3,7,2,6,4,5,1] => [5,1,6,4,7,2,8,3] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,7,2,6,3,5,4,8] => [8,2,7,3,6,4,5,1] => [5,1,6,4,7,3,8,2] => ([(0,7),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,6,3,5,4,7] => [8,1,7,3,6,4,5,2] => [5,2,6,4,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,5,3,6,4,7] => [8,1,7,4,6,3,5,2] => [5,2,6,3,7,4,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,5,3,6,4,8] => [8,2,7,4,6,3,5,1] => [5,1,6,3,7,4,8,2] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,5,3,7,4,8] => [8,3,7,4,6,2,5,1] => [5,1,6,2,7,4,8,3] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,4,3,7,6,8] => [8,4,7,5,6,2,3,1] => [3,1,6,2,7,5,8,4] => ([(0,4),(1,7),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,3,7,5,8] => [8,3,7,5,6,2,4,1] => [4,1,6,2,7,5,8,3] => ([(0,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,7,2,4,3,6,5,8] => [8,2,7,5,6,3,4,1] => [4,1,6,3,7,5,8,2] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,2,4,3,6,5,7] => [8,1,7,5,6,3,4,2] => [4,2,6,3,7,5,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,2,3,4,7,5,6] => [8,1,7,6,5,2,4,3] => [4,3,7,6,5,2,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,4,3,7,5,6] => [8,1,7,5,6,2,4,3] => [4,3,6,2,7,5,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,2,4,3,8,5,6] => [8,2,7,5,6,1,4,3] => [4,3,6,1,7,5,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,3,8,5,7] => [8,3,7,5,6,1,4,2] => [4,2,6,1,7,5,8,3] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[1,5,2,4,3,8,6,7] => [8,4,7,5,6,1,3,2] => [3,2,6,1,7,5,8,4] => ([(0,7),(1,2),(1,4),(2,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,2,5,3,8,4,7] => [8,3,7,4,6,1,5,2] => [5,2,6,1,7,4,8,3] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,5,3,8,4,6] => [8,2,7,4,6,1,5,3] => [5,3,6,1,7,4,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,5,3,7,4,6] => [8,1,7,4,6,2,5,3] => [5,3,6,2,7,4,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,2,6,3,7,4,5] => [8,1,7,3,6,2,5,4] => [5,4,6,2,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,2,6,3,8,4,5] => [8,2,7,3,6,1,5,4] => [5,4,6,1,7,3,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,8,4,7,5,6] => [8,6,7,1,5,2,4,3] => [4,3,5,2,7,1,8,6] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,3,7,5,6] => [8,5,7,1,6,2,4,3] => [4,3,6,2,7,1,8,5] => ([(0,5),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,5,2,8,3,7,4,6] => [8,4,7,1,6,2,5,3] => [5,3,6,2,7,1,8,4] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,6,2,8,3,7,4,5] => [8,3,7,1,6,2,5,4] => [5,4,6,2,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,7,2,8,3,6,4,5] => [8,2,7,1,6,3,5,4] => [5,4,6,3,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,2,7,3,6,4,5] => [8,1,7,2,6,3,5,4] => [5,4,6,3,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,2,5,1,8] => [5,3,6,2,7,4,8,1] => [8,1,7,4,6,2,5,3] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,5,1,7,2] => [5,3,6,1,4,8,2,7] => [7,8,2,4,6,1,5,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,7,2,4,3,1,8] => [4,3,2,7,5,6,8,1] => [8,1,4,3,2,6,7,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,6,8,4,3,1,7,2] => [4,3,1,5,6,8,2,7] => [7,8,2,4,3,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,8,4,1,6,3,2] => [4,2,1,5,8,3,6,7] => [6,7,8,3,4,2,1,5] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,5,2,4,3] => [3,2,1,8,4,7,5,6] => [3,2,1,6,7,5,8,4] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,8,1,6,5,4] => [6,7,2,1,8,3,4,5] => [4,5,8,3,7,2,1,6] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,4,5,2,3] => [3,2,1,8,5,4,7,6] => [3,2,1,7,6,8,5,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,2,1,4,6,3] => [4,2,1,7,8,5,3,6] => [6,8,5,3,4,2,1,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,8,3,1,7,5] => [5,3,7,1,6,8,2,4] => [4,8,2,6,7,1,5,3] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,8,3,1,6,4,2] => [4,2,1,6,8,3,5,7] => [5,7,8,3,4,2,1,6] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,1,6,2,5] => [5,2,6,1,8,3,7,4] => [7,4,8,3,6,1,5,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,2,1,7,5] => [5,3,6,1,7,8,2,4] => [4,8,2,6,1,5,3,7] => ([(0,7),(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,8,1,7,6] => [5,4,6,7,1,8,2,3] => [3,8,2,7,1,5,4,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,8,1,6,7] => [5,4,6,7,1,8,3,2] => [8,3,2,7,1,5,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,2,1,5,7] => [5,3,6,1,7,8,4,2] => [8,4,2,6,1,5,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,1,5,2,6] => [5,2,6,1,8,4,7,3] => [7,3,8,4,6,1,5,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,8,2,1,4,3,6] => [4,2,1,7,8,5,6,3] => [6,3,4,2,1,8,5,7] => ([(0,2),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,4,3,2,5] => [3,2,1,8,5,6,7,4] => [3,2,1,7,4,6,8,5] => ([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[6,7,8,1,2,5,4,3] => [3,2,1,8,7,4,5,6] => [3,2,1,5,6,8,7,4] => ([(0,7),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[6,7,8,1,3,2,5,4] => [3,2,1,8,6,7,4,5] => [3,2,1,5,7,4,8,6] => ([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8)
[6,7,8,1,3,2,4,5] => [3,2,1,8,6,7,5,4] => [3,2,1,7,5,4,8,6] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,7),(5,7),(6,7)],8)
[6,2,3,8,5,1,7,4] => [3,7,6,1,4,8,2,5] => [5,8,2,4,7,6,1,3] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,3,2,8,5,1,4,7] => [3,6,7,1,4,8,5,2] => [8,5,2,4,7,1,3,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,1,4,8,2,7] => [4,6,3,8,5,1,7,2] => [7,2,8,5,1,6,3,4] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,5,1,8,2,7,4] => [3,6,4,8,1,7,2,5] => [5,7,2,8,1,3,6,4] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,2,4,1,7,8,5,6] => [6,7,5,8,2,1,4,3] => [4,3,8,2,1,7,5,6] => ([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,6,1,7,8,3] => [7,4,5,3,8,2,1,6] => [6,8,2,1,5,3,7,4] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,1,4,3,6,5,8] => [2,7,8,5,6,3,4,1] => [4,1,2,6,3,8,5,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,4,1,2,6,5,8] => [2,6,5,8,7,3,4,1] => [4,1,2,8,7,3,6,5] => ([(0,5),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,4,3,2,1,6,5,8] => [2,5,6,7,8,3,4,1] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[7,6,3,2,5,4,1,8] => [2,3,6,7,4,5,8,1] => [8,1,2,3,5,7,4,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,2,5,4,8,1] => [3,2,6,7,4,5,1,8] => [5,1,3,2,7,4,6,8] => ([(1,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[1,8,3,2,5,4,7,6] => [8,1,6,7,4,5,2,3] => [3,5,2,7,4,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,5,1,6,2,4,8] => [2,6,4,8,3,7,5,1] => [7,5,1,2,8,3,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,5,6,3,4,8] => [2,7,8,4,3,6,5,1] => [6,5,1,2,8,4,3,7] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,1,5,4,2,8] => [2,6,3,8,4,5,7,1] => [7,1,2,5,8,4,6,3] => ([(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,4,3,7,2,5] => [8,1,3,5,6,2,7,4] => [7,4,6,2,3,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,4,3,1,8,2] => [3,4,2,5,6,8,1,7] => [7,8,1,4,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,5,1,3,8,2] => [3,5,2,4,8,6,1,7] => [7,8,6,1,4,5,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,1,7,5,4,8,3] => [3,7,8,2,4,5,1,6] => [5,1,4,6,8,2,3,7] => ([(0,7),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,1,8,5,4,7,6] => [6,7,8,1,4,5,2,3] => [3,5,2,4,8,1,6,7] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,8,1,5,4,7,6] => [7,6,1,8,4,5,2,3] => [3,5,2,8,4,7,6,1] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,8,5,1,3,7,6] => [7,5,1,4,8,6,2,3] => [3,8,6,2,4,7,5,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,4,3,7,1,5] => [7,3,1,5,6,2,8,4] => [8,4,6,2,5,7,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,4,3,6,5,2] => [8,1,2,5,6,3,4,7] => [2,4,6,3,5,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,5,6,3,4,2] => [8,1,2,4,3,6,5,7] => [2,4,3,6,5,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,7,8,5,6,3,4,1] => [7,2,1,4,3,6,5,8] => [4,3,6,5,7,2,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,5,7,3,1,4] => [7,3,1,4,2,6,8,5] => [4,2,8,5,6,7,3,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,6,7,1,3,4] => [7,4,1,3,2,8,6,5] => [3,2,8,6,5,7,4,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,6,7,4,5] => [6,7,8,1,3,2,5,4] => [3,2,5,4,8,1,6,7] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,2,1,7,6,8,4,3] => [4,7,8,2,3,1,5,6] => [3,1,5,6,8,2,4,7] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,7),(5,6),(6,7)],8)
[5,3,7,1,6,8,4,2] => [4,6,2,8,3,1,5,7] => [5,7,8,3,1,6,2,4] => ([(0,1),(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,6,1,8,3,2] => [4,5,2,3,8,1,6,7] => [6,7,8,1,3,5,2,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,8,6,5,7,3,2,4] => [8,1,3,4,2,6,7,5] => [4,2,3,7,5,6,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,5,6,7,2,3,4] => [8,1,4,3,2,7,6,5] => [4,3,2,7,6,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,6,8,2,3,1] => [5,2,4,3,1,7,6,8] => [4,3,1,5,2,7,6,8] => ([(1,2),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,1,7,8,2,4] => [4,6,3,8,2,1,7,5] => [7,5,8,2,1,6,3,4] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,2,1,6,7,8,3,4] => [4,7,8,3,2,1,6,5] => [6,5,8,3,2,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,4,5,7,1,2,8,3] => [3,5,4,2,8,7,1,6] => [6,8,7,1,5,4,2,3] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,7,2,1,8,3] => [3,4,5,2,7,8,1,6] => [6,8,1,5,2,3,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,7,2,8,1,3] => [4,3,5,2,7,1,8,6] => [8,6,7,1,5,2,4,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,6,2,7,3,5] => [8,1,5,3,7,2,6,4] => [6,4,7,2,5,3,8,1] => ([(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,2,6,7,4,5] => [8,1,6,7,3,2,5,4] => [5,4,7,3,2,6,8,1] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,2,6,8,4,1] => [4,2,6,7,3,1,5,8] => [5,7,3,1,4,2,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,2,7,8,1,4] => [4,3,6,7,2,1,8,5] => [8,5,7,2,1,4,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,1,4,3,7,8,5] => [3,7,8,5,6,2,1,4] => [4,6,2,1,3,8,5,7] => ([(0,3),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,1,4,3,8,7,6] => [4,7,8,5,6,1,2,3] => [2,3,6,1,4,8,5,7] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,4,1,2,8,7,6] => [4,6,5,8,7,1,2,3] => [2,3,8,7,1,4,6,5] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,2,8,7,1,5] => [5,3,6,7,1,2,8,4] => [2,8,4,7,1,5,3,6] => ([(0,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,2,8,6,5,1] => [5,2,6,7,1,3,4,8] => [3,4,7,1,5,2,6,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,3,2,7,6,5,4] => [8,1,6,7,2,3,4,5] => [3,4,5,7,2,6,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,8,2,6,5,1] => [6,2,5,1,7,3,4,8] => [4,7,3,5,1,6,2,8] => ([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,2,7,1,5] => [6,3,5,1,7,2,8,4] => [8,4,7,2,5,1,6,3] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,8,1,2,7,6] => [6,5,4,1,8,7,2,3] => [3,8,7,2,6,5,4,1] => ([(0,1),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,1,8,2,7,6] => [5,6,4,8,1,7,2,3] => [3,7,2,8,1,6,4,5] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,2,1,6,8,7,3,5] => [5,7,8,3,1,2,6,4] => [2,6,4,8,3,1,5,7] => ([(0,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,6,1,8,7,2,5] => [5,6,3,8,1,2,7,4] => [2,7,4,8,1,6,3,5] => ([(0,6),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,4,6,8,1,7,2,5] => [6,5,3,1,8,2,7,4] => [7,4,8,2,6,5,3,1] => ([(0,1),(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,7,1,2,4] => [6,4,3,1,2,8,7,5] => [2,8,7,5,6,4,3,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,8,7,2,1,4] => [6,3,4,1,2,7,8,5] => [2,4,1,8,5,6,3,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(6,7)],8)
[3,7,5,8,6,2,4,1] => [6,2,4,1,3,7,5,8] => [3,4,1,7,5,6,2,8] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,6,2,4,3] => [8,1,4,2,3,7,5,6] => [3,4,2,6,7,5,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,6,7,5,4,2,3] => [8,1,3,2,4,5,7,6] => [3,2,4,5,7,6,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,7,8,5,4,1,2] => [6,3,2,1,4,5,8,7] => [4,5,6,3,2,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,8,6,1,4,2] => [6,4,2,1,3,8,5,7] => [3,7,8,5,6,4,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,8,1,6,5,2] => [6,5,2,1,8,3,4,7] => [4,7,8,3,6,5,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,7,8,6,5,3] => [5,7,8,2,1,3,4,6] => [3,4,6,8,2,1,5,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,1,6,5,3] => [7,5,1,2,8,3,4,6] => [2,4,6,8,3,7,5,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,4,1,7,5,8,3] => [3,7,5,8,2,4,1,6] => [4,1,6,8,2,3,7,5] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[6,1,4,2,7,5,8,3] => [3,8,5,7,2,4,1,6] => [4,1,6,7,2,3,8,5] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)
[4,2,1,3,7,6,8,5] => [5,7,8,6,2,3,1,4] => [3,1,4,8,6,2,5,7] => ([(0,6),(1,7),(2,3),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,5,6,2,7,4] => [1,8,6,4,3,7,2,5] => [1,5,7,2,8,6,4,3] => ([(1,3),(1,5),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,4,2,6,7,5] => [1,8,6,5,7,3,2,4] => [1,4,7,3,2,8,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,2,4,5,7,6] => [1,8,6,7,5,4,2,3] => [1,3,7,5,4,2,8,6] => ([(1,6),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,3,4,5,6,1] => [7,2,1,6,5,4,3,8] => [6,5,4,3,7,2,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,1,4,5,8,7] => [3,6,7,8,5,4,1,2] => [2,8,5,4,1,3,6,7] => ([(0,4),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,4,2,6,8,5] => [2,6,8,5,7,3,1,4] => [4,7,3,1,2,8,5,6] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,8,5,6,1,2,3] => [5,2,1,4,3,8,7,6] => [4,3,5,2,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,4,2,6,1,5] => [6,2,1,5,7,3,8,4] => [8,4,7,3,5,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,2,4,5,1,6] => [6,2,1,7,5,4,8,3] => [8,3,7,5,4,6,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,8,4,5,1,7] => [6,3,7,1,5,4,8,2] => [8,2,5,4,7,1,6,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,6,7,4,5,8,1] => [7,6,3,2,5,4,1,8] => [5,4,1,7,6,3,2,8] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,8,7,1,6] => [6,4,5,7,1,2,8,3] => [2,8,3,7,1,5,6,4] => ([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,1,7,8,2,3] => [3,5,4,8,2,1,7,6] => [7,6,8,2,1,3,5,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,4,1,2,3,8,5,6] => [2,5,8,7,6,1,4,3] => [4,3,8,7,6,1,2,5] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,4,1,3,7,5,8] => [3,7,5,8,6,2,4,1] => [4,1,8,6,2,3,7,5] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,6,4,8,3,7,5,1] => [7,3,5,1,6,2,4,8] => [4,6,2,5,1,7,3,8] => ([(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,5,8,7,3,4,1] => [7,3,4,1,2,6,5,8] => [2,4,1,6,5,7,3,8] => ([(1,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[6,5,2,1,8,3,4,7] => [3,4,7,8,1,6,5,2] => [6,5,2,8,1,3,4,7] => ([(0,5),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,5,6,7,8,3,4,1] => [7,4,3,2,1,6,5,8] => [6,5,7,4,3,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,7,3,8,5,1] => [7,5,3,2,6,1,4,8] => [4,6,1,7,5,3,2,8] => ([(1,3),(1,5),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,2,3,1,5,6] => [5,2,1,7,6,8,4,3] => [8,4,3,5,2,1,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,3,2,1,6,5] => [5,2,1,6,7,8,3,4] => [4,8,3,5,2,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,1,2,7,4] => [4,3,6,1,8,7,2,5] => [5,8,7,2,6,1,4,3] => ([(0,1),(0,3),(0,4),(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,3,7,1,6,8] => [5,7,4,6,2,8,3,1] => [8,3,1,6,2,7,4,5] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,6,7,2,1,8,5] => [5,6,3,2,7,8,1,4] => [4,8,1,6,3,2,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,2,8,1,5] => [6,5,3,2,7,1,8,4] => [8,4,7,1,6,5,3,2] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,2,7,8,1,6] => [6,5,4,7,2,1,8,3] => [8,3,7,2,1,6,5,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,7,8,6,4,3] => [4,8,7,2,1,3,5,6] => [3,5,6,8,7,2,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,7,1,2,8,6,5,3] => [5,2,8,7,1,3,4,6] => [3,4,6,8,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,8,7,3,5,1,2,4] => [3,1,2,6,4,8,7,5] => [2,3,1,8,7,5,6,4] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,3,5,2,4] => [2,1,8,3,6,4,7,5] => [2,1,7,5,6,4,8,3] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,4,8,6,5,2] => [8,2,6,5,1,3,4,7] => [3,4,6,5,1,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,7,1,8,6,5,3] => [5,7,2,8,1,3,4,6] => [3,4,6,8,1,7,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7)],8)
[7,8,2,3,6,5,1,4] => [2,1,7,6,3,4,8,5] => [2,1,4,8,5,7,6,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,6,2,3,4] => [1,4,2,8,3,7,6,5] => [1,7,6,5,8,3,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,7,1,2,6,3,4] => [1,4,2,8,7,3,6,5] => [1,6,5,8,7,3,4,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,2,7,1,3,5,4] => [3,1,7,2,8,6,4,5] => [5,8,6,4,7,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,7,2,5,3,1,4] => [3,1,2,7,4,6,8,5] => [2,3,1,8,5,6,7,4] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[6,2,4,8,7,1,5,3] => [3,7,5,1,2,8,4,6] => [2,6,8,4,7,5,1,3] => ([(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,8,3,7,4,5,2] => [8,3,1,6,2,5,4,7] => [5,4,6,2,7,8,3,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,8,3,4,7,5,2] => [8,3,1,6,5,2,4,7] => [4,6,5,2,7,8,3,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,4,8,1,7,5,3] => [3,7,5,1,8,2,4,6] => [4,6,8,2,7,5,1,3] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,1,7,3,5,4] => [3,1,7,8,2,6,4,5] => [5,6,4,8,2,3,1,7] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,2,3,6,4] => [1,4,2,8,7,6,3,5] => [1,5,8,7,6,3,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,6,2,1,4,3,5] => [1,2,3,7,8,5,6,4] => [1,2,3,6,4,8,5,7] => ([(3,7),(4,6),(5,6),(5,7)],8)
[8,5,7,2,3,1,6,4] => [1,4,2,7,6,8,3,5] => [1,5,8,3,4,2,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,2,7,1,6,3] => [4,1,5,7,2,8,3,6] => [6,8,3,7,2,4,1,5] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,8,7,5,3,4,6,2] => [8,1,2,4,6,5,3,7] => [2,6,5,3,4,7,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,5,4,6,2] => [8,1,2,6,4,5,3,7] => [2,5,3,6,4,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,4,7,1,6,3] => [1,7,4,5,2,8,3,6] => [1,6,8,3,5,2,7,4] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,6,2,4,3,1,5] => [1,2,3,7,5,6,8,4] => [1,2,3,8,4,6,7,5] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,2,4,3,5] => [1,2,3,8,7,5,6,4] => [1,2,3,6,4,8,7,5] => ([(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[8,7,6,1,4,2,3,5] => [1,2,3,8,5,7,6,4] => [1,2,3,7,6,4,8,5] => ([(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,7,6,4,1,3,2,5] => [1,2,3,5,8,6,7,4] => [1,2,3,7,4,5,8,6] => ([(3,7),(4,7),(5,6),(6,7)],8)
[5,8,4,7,2,1,6,3] => [4,1,5,2,7,8,3,6] => [6,8,3,5,2,4,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,8,7,5,4,3,6,2] => [8,1,2,4,5,6,3,7] => [2,6,3,4,5,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,3,2,6,4] => [1,4,2,8,6,7,3,5] => [1,5,7,3,4,2,8,6] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,7,1,2,6,3] => [4,1,5,2,8,7,3,6] => [6,8,7,3,5,2,4,1] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,1,7,2,6,3] => [4,1,5,8,2,7,3,6] => [6,7,3,8,2,4,1,5] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,4,7,1,6,2,3] => [4,1,5,2,8,3,7,6] => [7,6,8,3,5,2,4,1] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,6,5,7,4,3] => [1,8,7,3,4,2,5,6] => [1,4,2,5,6,8,7,3] => ([(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,7,1,6,2,3] => [5,1,4,2,8,3,7,6] => [7,6,8,3,4,2,5,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,7,1,2,6,3] => [5,1,4,2,8,7,3,6] => [6,8,7,3,4,2,5,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,1,7,2,6,3] => [5,1,4,8,2,7,3,6] => [6,7,3,8,2,4,5,1] => ([(0,1),(0,2),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,1,2,6,4] => [1,4,6,2,8,7,3,5] => [1,5,8,7,3,6,2,4] => ([(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,2,8,1,7,5,3] => [5,3,7,1,8,2,4,6] => [4,6,8,2,7,1,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[1,6,4,8,3,7,5,2] => [8,3,5,1,6,2,4,7] => [4,6,2,5,1,7,8,3] => ([(0,7),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,8,7,4,5,3,6,2] => [8,1,2,5,4,6,3,7] => [2,6,3,5,4,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,7,2,1,6,3] => [5,1,4,2,7,8,3,6] => [6,8,3,4,2,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,7,6,3,1,4,2,5] => [1,2,3,6,8,5,7,4] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,1,3,2,4,5] => [1,2,3,8,6,7,5,4] => [1,2,3,7,5,4,8,6] => ([(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,7,4,3,5,6,2] => [8,1,2,5,6,4,3,7] => [2,6,4,3,5,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,4,5,6,2] => [8,1,2,6,5,4,3,7] => [2,6,5,4,3,7,8,1] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,2,1,4,3] => [1,2,3,4,7,8,5,6] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8)
[8,3,1,7,6,5,4,2] => [1,6,8,2,3,4,5,7] => [1,3,4,5,7,8,2,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,5,1,3,2,4] => [1,2,3,4,8,6,7,5] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8)
[8,7,6,5,1,4,3,2] => [1,2,3,4,8,5,6,7] => [1,2,3,4,6,7,8,5] => ([(4,7),(5,7),(6,7)],8)
[8,7,6,5,4,1,3,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,7,8,6] => ([(5,7),(6,7)],8)
[7,4,3,1,8,6,5,2] => [2,5,6,8,1,3,4,7] => [3,4,7,8,1,2,5,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,1,8,4,3,2] => [2,3,4,8,1,5,6,7] => [5,6,7,8,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[6,4,2,1,8,7,5,3] => [3,5,7,8,1,2,4,6] => [2,4,6,8,1,3,5,7] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,2,1,8,7,6,4] => [4,6,7,8,1,2,3,5] => [2,3,5,8,1,4,6,7] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,4,1,2,8,5,3,7] => [3,5,8,7,1,4,6,2] => [6,2,4,8,7,1,3,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,1,7,4,5,3,8,6] => [7,8,2,5,4,6,1,3] => [3,6,1,5,4,8,2,7] => ([(0,3),(1,2),(1,7),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,3,4,1,5,2] => [1,3,2,6,5,8,4,7] => [1,3,2,7,8,4,6,5] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,6,2,7,3,4,1] => [1,4,3,7,2,6,5,8] => [1,6,5,7,2,4,3,8] => ([(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,5,1,6,2] => [1,5,2,6,4,8,3,7] => [1,7,8,3,6,4,5,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,8,5,7,3,6,2] => [5,8,1,4,2,6,3,7] => [6,3,4,2,7,8,1,5] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,7,3,5,1,8,4] => [3,7,2,6,4,8,1,5] => [5,8,1,6,4,7,2,3] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,3,6,2,5,1] => [1,5,2,6,3,7,4,8] => [1,7,4,6,3,5,2,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,3,6,2,4,1] => [1,4,2,6,3,7,5,8] => [1,7,5,6,3,4,2,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,3,1,7,4] => [1,4,3,7,6,8,2,5] => [1,5,8,2,4,3,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,5,6,2,4,1,7,3] => [1,4,3,7,5,8,2,6] => [1,6,8,2,4,3,7,5] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,2,8,5,7,3] => [5,8,3,7,1,4,2,6] => [4,2,6,7,1,8,3,5] => ([(0,5),(0,6),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(5,6),(5,7)],8)
[8,4,6,2,5,1,7,3] => [1,5,3,7,4,8,2,6] => [1,6,8,2,7,4,5,3] => ([(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,8,5,6,1,3,4,2] => [2,1,4,3,8,6,5,7] => [2,1,4,3,7,8,6,5] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,4,7,2,5,8] => [6,3,8,5,2,7,4,1] => [7,4,1,8,5,2,6,3] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,1,2,5,7,3,8] => [5,3,8,7,4,2,6,1] => [6,1,8,7,4,2,5,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[7,8,3,5,6,4,1,2] => [2,1,6,4,3,5,8,7] => [2,1,5,6,4,3,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,8,3,7,1,5] => [7,3,5,1,6,2,8,4] => [8,4,6,2,5,1,7,3] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,6,2,4,1,8] => [2,4,6,3,7,5,8,1] => [8,1,2,7,5,6,3,4] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,7,8,1,4,2] => [6,4,3,2,1,8,5,7] => [7,8,5,6,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,7,8,2,1,4] => [6,3,4,2,1,7,8,5] => [4,2,1,8,5,6,3,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(6,7)],8)
[5,2,7,6,1,4,3,8] => [4,7,2,3,8,5,6,1] => [6,1,3,8,5,7,2,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,3,7,8,1,2,6,5] => [5,6,2,1,8,7,3,4] => [4,8,7,3,6,2,1,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,3,2,1,4] => [4,2,1,3,6,7,8,5] => [3,4,2,1,8,5,6,7] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,7,8,6,1,3,4,2] => [4,2,1,3,8,6,5,7] => [3,4,2,1,7,8,6,5] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)
[7,6,5,8,1,3,4,2] => [2,3,4,1,8,6,5,7] => [4,1,2,3,7,8,6,5] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[7,1,3,4,8,2,6,5] => [2,8,6,5,1,7,3,4] => [4,7,3,8,6,5,1,2] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,5,4,1,2,7,8] => [6,3,4,5,8,7,2,1] => [8,7,2,1,4,5,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,7,3,1,4,8] => [4,3,7,2,6,8,5,1] => [8,5,1,6,7,2,4,3] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,1,2,5,3,8] => [2,5,3,8,7,4,6,1] => [6,1,2,8,7,4,5,3] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,3,1,5,2,8] => [2,5,3,6,8,4,7,1] => [7,1,2,8,4,5,3,6] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,3,5,4,1,6,8] => [2,7,6,4,5,8,3,1] => [8,3,1,2,5,7,6,4] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,6,8,4,7,1] => [7,4,6,3,1,5,2,8] => [5,2,6,3,1,7,4,8] => ([(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,7,8,1,4,6,3] => [7,4,2,1,8,5,3,6] => [6,8,5,3,7,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,1,2,7,3,5] => [3,5,1,8,7,2,6,4] => [6,4,8,7,2,5,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,5,1,2,3,7,4] => [3,1,4,8,7,6,2,5] => [5,8,7,6,2,3,1,4] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,8,5,2,7,1] => [6,5,3,1,4,7,2,8] => [7,2,4,6,5,3,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,8,6,4,3] => [7,8,2,4,1,3,5,6] => [3,4,1,5,6,8,2,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[1,2,7,5,3,8,6,4] => [8,7,2,4,6,1,3,5] => [3,5,6,1,4,8,7,2] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,1,7,5,2,3,8] => [3,5,8,2,4,7,6,1] => [7,6,1,4,8,2,3,5] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,7,5,2,4,8] => [3,8,6,2,4,7,5,1] => [7,5,1,4,8,6,2,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,6,8,5,4,7] => [6,8,7,3,1,4,5,2] => [5,2,4,8,7,3,1,6] => ([(0,3),(0,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,2,5,4,8,6] => [6,2,8,7,4,5,1,3] => [3,5,1,8,7,4,6,2] => ([(0,1),(0,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,2,4,8,6,5] => [8,6,2,7,5,1,3,4] => [3,4,7,5,1,8,6,2] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,4,1,7,8,6,5,3] => [7,5,8,2,1,3,4,6] => [3,4,6,8,2,1,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,4,7,5,1,8,6,2] => [6,5,2,4,8,1,3,7] => [3,7,8,1,4,6,5,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,8,1,3,7,4,6] => [4,7,1,8,6,2,5,3] => [5,3,8,6,2,7,1,4] => ([(0,3),(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,8,3,4,7,5] => [7,8,3,1,6,5,2,4] => [4,6,5,2,8,3,1,7] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,4,8,5,1,7,2] => [6,3,5,1,4,8,2,7] => [7,8,2,4,5,1,6,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,3,7,5,8,1,4] => [7,3,6,2,4,1,8,5] => [4,1,8,5,6,2,7,3] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,1,7,8,3,4,6] => [4,7,8,2,1,6,5,3] => [6,5,3,8,2,1,4,7] => ([(0,3),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,3,6,8,1,5] => [5,2,7,6,3,1,8,4] => [8,4,7,6,3,1,5,2] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,6,2,8,1,3] => [4,2,5,3,7,1,8,6] => [8,6,7,1,5,3,4,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,3,4,6,1,8,2] => [4,2,6,5,3,8,1,7] => [7,8,1,6,5,3,4,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,4,6,1,7,2] => [4,6,1,5,3,8,2,7] => [7,8,2,5,3,6,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,2,4,1,6,7,3] => [1,4,7,5,8,3,2,6] => [1,6,8,3,2,4,7,5] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,3,5,1,6,7,4] => [1,7,6,4,8,3,2,5] => [1,5,8,3,2,7,6,4] => ([(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,1,7,3,5,6] => [7,5,1,8,2,6,4,3] => [6,4,3,8,2,7,5,1] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,3,6,2,5,7] => [1,5,8,6,3,7,4,2] => [1,7,4,2,8,6,3,5] => ([(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,1,7,2,5,6] => [5,1,6,8,2,7,4,3] => [7,4,3,8,2,5,1,6] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,8,4,7,1,6,3] => [4,7,1,5,2,8,3,6] => [6,8,3,5,2,7,1,4] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,4,7,3,1,6,2] => [4,1,5,2,6,8,3,7] => [7,8,3,5,2,4,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,2,7,1,5,4] => [3,6,1,7,2,8,4,5] => [5,8,4,7,2,6,1,3] => ([(0,2),(0,3),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,1,8,2,4,7,5] => [3,6,8,1,7,5,2,4] => [4,7,5,2,8,1,3,6] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,1,2,6,4,7] => [4,6,1,8,7,3,5,2] => [5,2,8,7,3,6,1,4] => ([(0,4),(0,7),(1,2),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,2,6,3,7] => [1,4,5,8,7,3,6,2] => [1,6,2,8,7,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,1,8,4,2,7,3,6] => [4,8,1,5,7,2,6,3] => [6,3,7,2,5,8,1,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[1,6,2,8,5,3,7,4] => [8,3,7,1,4,6,2,5] => [5,6,2,4,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,3,1,7,4,2] => [3,1,4,6,8,2,5,7] => [5,7,8,2,3,1,4,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[8,4,5,1,2,6,3,7] => [1,5,4,8,7,3,6,2] => [1,6,2,8,7,3,5,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,6,3,7,2,8,4,5] => [8,3,6,2,7,1,5,4] => [5,4,7,1,6,2,8,3] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,2,7,8,5,1,4] => [3,6,7,2,1,4,8,5] => [4,8,5,7,2,1,3,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,8,3,1,6,2] => [5,4,2,1,6,8,3,7] => [7,8,3,5,4,2,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,5,8,1,6,3] => [5,2,7,4,1,8,3,6] => [6,8,3,7,4,1,5,2] => ([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,3,4,6,2,5,7] => [1,8,6,5,3,7,4,2] => [1,7,4,2,8,6,5,3] => ([(1,3),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,2,7,1,4] => [6,4,3,1,7,2,8,5] => [8,5,7,2,6,4,3,1] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,6,8,1,7,3] => [7,5,4,3,1,8,2,6] => [6,8,2,7,5,4,3,1] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,5,6,1,7,2] => [5,1,6,4,3,8,2,7] => [7,8,2,6,4,3,5,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,2,3,7,8,1,4] => [4,3,7,6,2,1,8,5] => [8,5,7,6,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,3,4,1,2,6] => [4,1,2,6,5,8,7,3] => [2,8,7,3,4,1,6,5] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,7,2,5,3,1] => [3,1,5,2,7,4,6,8] => [6,7,4,5,2,3,1,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,8,7,6,1,2,4] => [4,6,1,2,3,8,7,5] => [2,3,8,7,5,6,1,4] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,6,1,2,5] => [5,6,1,2,3,8,7,4] => [2,3,8,7,4,6,1,5] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,7,6,1,2,3] => [5,4,1,2,3,8,7,6] => [2,3,5,4,1,8,7,6] => ([(0,7),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[4,5,8,7,2,6,3,1] => [5,4,1,2,7,3,6,8] => [2,6,7,3,5,4,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,8,2,7,6,4,1] => [6,4,1,7,2,3,5,8] => [3,5,7,2,6,4,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,8,1,7,6,4,2] => [6,4,1,8,2,3,5,7] => [3,5,7,8,2,6,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,8,7,1,6,3,5] => [7,5,1,2,8,3,6,4] => [2,6,4,8,3,7,5,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,7,1,5,3,6] => [7,1,5,2,8,4,6,3] => [6,3,8,4,5,2,7,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,6,2,5,3,7] => [1,8,5,3,7,4,6,2] => [1,6,2,7,4,8,5,3] => ([(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,2,5,3,6] => [8,1,5,2,7,4,6,3] => [6,3,7,4,5,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,7,2,6,3,5] => [8,5,1,2,7,3,6,4] => [2,6,4,7,3,8,5,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,8,7,2,6,3,4] => [8,4,1,2,7,3,6,5] => [2,6,5,7,3,8,4,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,8,2,7,6,4,3] => [8,4,1,7,2,3,5,6] => [3,5,6,7,2,8,4,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,8,3,7,6,4,1] => [7,4,1,6,2,3,5,8] => [3,5,6,2,7,4,1,8] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,8,2,7,6,4,5] => [8,6,1,7,2,3,5,4] => [3,5,4,7,2,8,6,1] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,3,2,6,5,4,7] => [1,8,6,7,3,4,5,2] => [1,5,2,4,7,3,8,6] => ([(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(6,7)],8)
[8,2,3,1,6,5,4,7] => [1,7,6,8,3,4,5,2] => [1,5,2,4,8,3,7,6] => ([(1,7),(2,3),(2,5),(3,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,3,1,7,5,4,6] => [7,1,6,8,2,4,5,3] => [5,3,4,8,2,6,7,1] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,1,7,6,4,5] => [7,6,1,8,2,3,5,4] => [3,5,4,8,2,7,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,8,7,6,5,2] => [6,5,8,1,2,3,4,7] => [2,3,4,7,8,1,6,5] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,1,8,7,6,5,2] => [5,6,8,1,2,3,4,7] => [2,3,4,7,8,1,5,6] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[4,2,1,8,7,6,5,3] => [5,7,8,1,2,3,4,6] => [2,3,4,6,8,1,5,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[3,8,2,1,7,5,4,6] => [6,1,7,8,2,4,5,3] => [5,3,4,8,2,6,1,7] => ([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,1,6,5,4,7] => [1,6,7,8,3,4,5,2] => [1,5,2,4,8,3,6,7] => ([(1,5),(2,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,2,6,1,5,3,7] => [1,5,7,3,8,4,6,2] => [1,6,2,8,4,7,3,5] => ([(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,8,7,1,6,3,5] => [5,7,1,2,8,3,6,4] => [2,6,4,8,3,7,1,5] => ([(0,7),(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,7,1,6,3,4] => [4,7,1,2,8,3,6,5] => [2,6,5,8,3,7,1,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,2,8,1,7,6,4,3] => [4,7,1,8,2,3,5,6] => [3,5,6,8,2,7,1,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,3,8,1,7,6,4,2] => [4,6,1,8,2,3,5,7] => [3,5,7,8,2,6,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,3,8,2,7,6,4,1] => [4,6,1,7,2,3,5,8] => [3,5,7,2,6,1,4,8] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,1,7,5,4,3] => [3,1,7,8,2,4,5,6] => [4,5,6,8,2,3,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,2,7,1,5,3,4] => [3,1,7,2,8,4,6,5] => [6,5,8,4,7,2,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,7,2,1,4,3,5] => [3,1,2,7,8,5,6,4] => [2,3,1,6,4,8,5,7] => ([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8)
[8,5,6,1,2,4,3,7] => [1,4,3,8,7,5,6,2] => [1,6,2,4,3,8,7,5] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,2,8,3,7,6,4,1] => [4,7,1,6,2,3,5,8] => [3,5,6,2,7,1,4,8] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,1,8,7,2,6,3,4] => [4,8,1,2,7,3,6,5] => [2,6,5,7,3,8,1,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,8,1,7,2,5,3,6] => [5,1,8,2,7,4,6,3] => [6,3,7,4,8,2,5,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,2,5,3,7] => [1,5,8,3,7,4,6,2] => [1,6,2,7,4,8,3,5] => ([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,1,2,6,5,4,7] => [1,6,8,7,3,4,5,2] => [1,5,2,4,8,7,3,6] => ([(1,6),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,8,1,2,7,5,4,6] => [6,1,8,7,2,4,5,3] => [5,3,4,8,7,2,6,1] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,8,7,6,5,4] => [6,8,7,1,2,3,4,5] => [2,3,4,5,8,7,1,6] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,3,8,7,6,5,2] => [5,8,6,1,2,3,4,7] => [2,3,4,7,8,6,1,5] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,8,3,7,6,4,5] => [7,8,1,6,2,3,5,4] => [3,5,4,6,2,8,1,7] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,3,7,5,4,6] => [7,1,8,6,2,4,5,3] => [5,3,4,8,6,2,7,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,3,6,5,4,7] => [1,7,8,6,3,4,5,2] => [1,5,2,4,8,6,3,7] => ([(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,2,3,6,5,4,7] => [1,8,7,6,3,4,5,2] => [1,5,2,4,8,7,6,3] => ([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,6,2,5,8,4,7] => [6,8,3,7,4,1,5,2] => [5,2,7,4,1,8,3,6] => ([(0,4),(0,5),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,5,2,8,3,7,6] => [8,5,4,7,1,6,2,3] => [3,6,2,7,1,8,5,4] => ([(0,5),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,4,2,6,5,8,3,7] => [8,5,7,3,4,1,6,2] => [6,2,4,1,7,3,8,5] => ([(0,6),(1,4),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,2,6,4,8,3,7] => [8,4,7,3,5,1,6,2] => [6,2,5,1,7,3,8,4] => ([(0,6),(1,3),(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,4,2,8,3,6] => [2,8,4,5,7,1,6,3] => [6,3,7,1,2,5,8,4] => ([(0,6),(1,2),(1,3),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,7,5,2,8,3,6] => [8,5,2,4,7,1,6,3] => [6,3,7,1,4,8,5,2] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,1,8,3,4,6] => [2,7,4,8,1,6,5,3] => [6,5,3,8,1,2,7,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,2,1,8,7,3,4,5] => [3,7,8,1,2,6,5,4] => [2,6,5,4,8,1,3,7] => ([(0,7),(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,1,6,2,8,4,5] => [2,6,8,3,7,1,5,4] => [5,4,7,1,2,8,3,6] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,7,6,4,2,8,3,5] => [8,2,3,5,7,1,6,4] => [6,4,7,1,3,5,8,2] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,2,7,5,3,8,4] => [8,3,7,2,4,6,1,5] => [5,6,1,4,7,2,8,3] => ([(0,7),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,2,7,6,3,8,4] => [8,4,7,2,3,6,1,5] => [5,6,1,3,7,2,8,4] => ([(0,7),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,5,2,7,3,8,4] => [8,3,4,7,2,6,1,5] => [5,6,1,7,2,4,8,3] => ([(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,7,4,2,8,3,6] => [8,4,2,5,7,1,6,3] => [6,3,7,1,5,8,4,2] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,6,2,4,7,5] => [6,8,1,3,7,5,2,4] => [4,7,5,2,3,8,1,6] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,6,2,4,7,5] => [1,6,8,3,7,5,2,4] => [1,4,7,5,2,8,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,3,2,4,6,5] => [2,8,1,6,7,5,3,4] => [4,7,5,3,6,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,7,3,2,4,6,5] => [8,1,2,6,7,5,3,4] => [2,4,7,5,3,6,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,5,2,7,3,6] => [8,5,1,4,7,2,6,3] => [6,3,7,2,4,8,5,1] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,1,7,3,4,5] => [1,3,7,8,2,6,5,4] => [1,6,5,4,8,2,3,7] => ([(1,2),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,6,4,2,7,3,5] => [8,1,3,5,7,2,6,4] => [6,4,7,2,3,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,5,2,6,3,7,4] => [8,1,4,7,3,6,2,5] => [5,6,2,7,3,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,2,7,3,8,6,4] => [8,4,7,2,6,1,3,5] => [3,5,6,1,7,2,8,4] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,2,8,5,3,7,6,4] => [8,7,1,4,6,2,3,5] => [3,5,6,2,4,8,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,6,3,8,7,5,4] => [8,7,3,6,1,2,4,5] => [2,4,5,6,1,8,7,3] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,7,3,8,5,4] => [8,3,7,2,6,1,4,5] => [4,5,6,1,7,2,8,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,8,5,3,6,4] => [8,2,7,1,4,6,3,5] => [5,6,3,4,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,1,8,6,3,4,5] => [2,7,8,1,3,6,5,4] => [3,6,5,4,8,1,2,7] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,8,7,5,3,6,4] => [8,7,1,2,4,6,3,5] => [2,5,6,3,4,8,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,7,3,8,6,5,4] => [8,7,2,6,1,3,4,5] => [3,4,5,6,1,8,7,2] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,6,2,4,1,3] => [4,1,2,3,7,5,8,6] => [2,3,4,1,8,6,7,5] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,2,3,4,5,6,7,9,8] => [9,8,7,6,5,4,3,1,2] => [2,9,8,7,6,5,4,3,1] => ([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,1,3,4,5,6,7,8,9] => [8,9,7,6,5,4,3,2,1] => [9,7,6,5,4,3,2,1,8] => ([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,5,6,7,8,10,9] => [10,9,8,7,6,5,4,3,1,2] => [2,10,9,8,7,6,5,4,3,1] => ([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,1,3,4,5,6,7,8,9,10] => [9,10,8,7,6,5,4,3,2,1] => [10,8,7,6,5,4,3,2,1,9] => ([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,5,4,1,3,6,2] => [2,1,4,5,8,6,3,7] => [2,1,7,8,6,3,4,5] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,7,5,3,2,4,8] => [3,8,2,4,6,7,5,1] => [7,5,1,4,6,8,2,3] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,8,3,7,4,5,6] => [8,7,1,6,2,5,4,3] => [5,4,3,6,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,6,3,5,4] => [1,8,2,7,3,6,4,5] => [1,5,6,4,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,4,7,5,6] => [6,7,8,1,5,2,4,3] => [4,3,5,2,8,1,6,7] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,2,7,1,6,5,3] => [5,1,7,2,8,3,4,6] => [4,6,8,3,7,2,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,1,6,4,3] => [4,1,2,7,8,3,5,6] => [2,5,6,8,3,4,1,7] => ([(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,5,4,3,2] => [1,2,3,8,4,5,6,7] => [1,2,3,5,6,7,8,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,8,7,2,6,5,3,4] => [8,1,2,7,3,4,6,5] => [2,4,6,5,7,3,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,2,5,4,3,8] => [2,3,8,7,4,5,6,1] => [6,1,2,3,5,8,7,4] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[8,7,1,2,3,6,5,4] => [1,2,8,7,6,3,4,5] => [1,2,4,5,8,7,6,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,3,5,6,4] => [2,1,8,7,6,4,3,5] => [2,1,5,8,7,6,4,3] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,4,3,6,7,8] => [4,8,7,5,6,3,2,1] => [6,3,2,1,4,8,7,5] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,2,3,5,4,7,8] => [3,8,7,6,4,5,2,1] => [5,2,1,3,8,7,6,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(6,7)],8)
[7,1,2,3,4,6,5,8] => [2,8,7,6,5,3,4,1] => [4,1,2,8,7,6,5,3] => ([(0,2),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,4,5,7,6] => [1,8,7,6,5,4,2,3] => [1,3,8,7,6,5,4,2] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,8,5,1,2,4] => [3,2,6,1,4,8,7,5] => [4,8,7,5,6,1,3,2] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,5,1,8,3,2] => [3,2,5,4,8,1,6,7] => [6,7,8,1,3,2,5,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,4,7,6,8,1,2,3] => [4,5,2,3,1,8,7,6] => [3,1,5,2,4,8,7,6] => ([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8)
[3,8,4,5,7,1,2,6] => [6,1,5,4,2,8,7,3] => [8,7,3,5,4,2,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,1,8,3,2] => [5,4,3,2,8,1,6,7] => [6,7,8,1,5,4,3,2] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,1,7,8,4,2] => [6,4,3,8,2,1,5,7] => [5,7,8,2,1,6,4,3] => ([(0,1),(0,2),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,1,8,7,4,3] => [7,4,3,8,1,2,5,6] => [2,5,6,8,1,7,4,3] => ([(0,5),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,4,8,6,2,3,7,5] => [8,5,1,3,7,6,2,4] => [4,7,6,2,3,8,5,1] => ([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,6,8,5,7,3] => [8,5,7,3,1,4,2,6] => [4,2,6,7,3,1,8,5] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[8,1,3,2,5,4,6,7] => [1,8,6,7,4,5,3,2] => [1,5,3,2,7,4,8,6] => ([(1,6),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8)
[8,2,3,1,5,6,4,7] => [1,7,6,8,4,3,5,2] => [1,5,2,8,4,3,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,3,1,5,7,4,6] => [7,1,6,8,4,2,5,3] => [5,3,8,4,2,6,7,1] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,6,8,7,5,3] => [7,5,8,3,1,2,4,6] => [2,4,6,8,3,1,7,5] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,6,7,8,5,2] => [6,5,8,3,2,1,4,7] => [4,7,8,3,2,1,6,5] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,7,8,1,6,3,4] => [4,7,2,1,8,3,6,5] => [6,5,8,3,7,2,1,4] => ([(0,1),(0,3),(0,4),(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,2,6,4,8,1] => [4,6,2,7,3,5,1,8] => [5,1,7,3,6,2,4,8] => ([(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,3,1,5,8,4,2] => [3,2,6,8,4,1,5,7] => [5,7,8,4,1,3,2,6] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,2,1,8,5,4,3] => [3,2,7,8,1,4,5,6] => [4,5,6,8,1,3,2,7] => ([(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,7,2,8,1,5,3,4] => [3,2,7,1,8,4,6,5] => [6,5,8,4,7,1,3,2] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,1,4,3,5] => [3,2,1,7,8,5,6,4] => [3,2,1,6,4,8,5,7] => ([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8)
[6,7,1,3,4,8,5,2] => [3,2,8,6,5,1,4,7] => [4,7,8,6,5,1,3,2] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,3,4,6,8,1] => [4,7,2,6,5,3,1,8] => [6,5,3,1,7,2,4,8] => ([(1,3),(1,5),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,7,2,3,6,5] => [5,8,1,2,7,6,3,4] => [2,4,7,6,3,8,1,5] => ([(0,7),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,7,5,8,6,2] => [5,8,6,2,4,1,3,7] => [3,4,1,7,8,6,2,5] => ([(0,1),(0,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,1,4,5,7,8,6,2] => [6,8,5,4,2,1,3,7] => [3,7,8,5,4,2,1,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,4,7,6,5] => [7,8,1,6,5,2,3,4] => [3,4,6,5,2,8,1,7] => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,3,4,6,7,5] => [8,7,1,6,5,3,2,4] => [4,6,5,3,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,5,8,7,3] => [5,7,8,3,4,1,2,6] => [2,4,1,6,8,3,5,7] => ([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[5,2,6,1,4,8,7,3] => [4,7,3,8,5,1,2,6] => [2,6,8,5,1,7,3,4] => ([(0,5),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,4,1,8,7,3] => [4,7,3,5,8,1,2,6] => [2,6,8,1,5,7,3,4] => ([(0,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,7,4,8,1,6,3] => [4,7,2,5,1,8,3,6] => [6,8,3,5,1,7,2,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,2,3,8,1,6,4] => [4,2,7,6,1,8,3,5] => [5,8,3,7,6,1,4,2] => ([(0,1),(0,4),(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,6,2,3,1,8,7,4] => [4,3,7,6,8,1,2,5] => [2,5,8,1,4,3,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,6,3,1,2,8,7,4] => [4,3,6,8,7,1,2,5] => [2,5,8,7,1,4,3,6] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,2,8,1,6,4] => [4,2,6,7,1,8,3,5] => [5,8,3,7,1,4,2,6] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,2,8,6,1,4] => [4,2,6,7,1,3,8,5] => [3,8,5,7,1,4,2,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,8,2,1,5,4] => [3,2,6,1,7,8,4,5] => [5,8,4,6,1,3,2,7] => ([(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,8,1,2,5,4] => [3,2,6,1,8,7,4,5] => [5,8,7,4,6,1,3,2] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,1,8,2,6,4] => [4,2,6,8,1,7,3,5] => [5,7,3,8,1,4,2,6] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,1,3,8,2,6,4] => [4,2,8,6,1,7,3,5] => [5,7,3,8,6,1,4,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,1,7,4,8,2,6,3] => [4,8,2,5,1,7,3,6] => [6,7,3,5,1,8,2,4] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,7,4,8,6,3,2] => [8,4,2,5,1,3,6,7] => [3,5,1,6,7,8,4,2] => ([(0,4),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,1,7,4,8,6,2,3] => [4,8,2,5,1,3,7,6] => [3,5,1,7,6,8,2,4] => ([(0,2),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,3,8,6,2,4] => [4,2,8,6,1,3,7,5] => [3,7,5,8,6,1,4,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,7,3,1,8,6,2,4] => [4,2,6,8,1,3,7,5] => [3,7,5,8,1,4,2,6] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,7,3,8,1,5,2,4] => [3,2,6,1,8,4,7,5] => [7,5,8,4,6,1,3,2] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,1,4,2,5] => [3,2,1,6,8,5,7,4] => [3,2,1,7,4,8,5,6] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(5,7),(6,7)],8)
[6,1,7,8,4,5,2,3] => [3,8,2,1,5,4,7,6] => [5,4,7,6,8,2,1,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,6,7,8,4,5,3,2] => [8,3,2,1,5,4,6,7] => [5,4,6,7,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,8,4,3,5,2] => [8,3,2,1,5,6,4,7] => [6,4,5,7,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,1,8,3,6,4] => [4,2,7,8,1,6,3,5] => [5,6,3,8,1,4,2,7] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,8,4,1,5,3] => [3,7,2,1,5,8,4,6] => [6,8,4,5,7,2,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,1,8,4,6,3] => [4,7,2,8,1,5,3,6] => [5,3,6,8,1,7,2,4] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,1,2,7,8,6,5,3] => [5,8,7,2,1,3,4,6] => [3,4,6,8,7,2,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,1,8,6,3,4] => [4,2,7,8,1,3,6,5] => [3,6,5,8,1,4,2,7] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,1,2,8,6,3,4] => [4,2,8,7,1,3,6,5] => [3,6,5,8,7,1,4,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,1,7,2,8,6,4,3] => [4,8,2,7,1,3,5,6] => [3,5,6,7,1,8,2,4] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,5,7,3,8,6,4,2] => [8,4,2,6,1,3,5,7] => [3,5,6,1,7,8,4,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,6,7,8,3,5,4,2] => [8,3,2,1,6,4,5,7] => [5,6,4,7,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,2,5,4,3] => [3,8,2,1,7,4,5,6] => [5,6,7,4,8,2,1,3] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,7,1,8,2,5,3,4] => [3,2,8,1,7,4,6,5] => [6,5,7,4,8,1,3,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,7,8,2,4,1,3,5] => [3,2,1,7,5,8,6,4] => [3,2,1,8,6,4,7,5] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,4,3,1,5] => [3,2,1,7,5,6,8,4] => [3,2,1,8,4,6,7,5] => ([(0,7),(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,5,2,3,4] => [3,2,8,1,4,7,6,5] => [4,7,6,5,8,1,3,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,1,7,8,5,2,4,3] => [3,8,2,1,4,7,5,6] => [4,6,7,5,8,2,1,3] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,6,7,8,5,3,4,2] => [8,3,2,1,4,6,5,7] => [4,6,5,7,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,5,4,2,3] => [3,8,2,1,4,5,7,6] => [4,5,7,6,8,2,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,7,1,8,5,3,2,4] => [3,2,8,1,4,6,7,5] => [4,7,5,6,8,1,3,2] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,5,2,8,4,7,3,1] => [3,4,7,1,5,2,6,8] => [5,2,6,7,1,3,4,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[6,3,4,5,8,7,2,1] => [3,6,5,4,1,2,7,8] => [2,6,5,4,1,3,7,8] => ([(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,5,7,1,2] => [6,3,5,1,4,2,8,7] => [4,2,5,1,6,3,8,7] => ([(0,1),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,7,1,8,6,5,2] => [6,5,2,8,1,3,4,7] => [3,4,7,8,1,6,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,5,6,7,2,1] => [5,6,1,4,3,2,7,8] => [4,3,2,6,1,5,7,8] => ([(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,7,4,1,2,6] => [4,6,1,2,5,8,7,3] => [2,8,7,3,5,6,1,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,6,2,5,4,3] => [1,2,8,3,7,4,5,6] => [1,2,5,6,7,4,8,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,7,3,5,6,4] => [7,1,8,2,6,4,3,5] => [5,6,4,3,8,2,7,1] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,7,3,4,6,5] => [1,8,7,2,6,5,3,4] => [1,4,6,5,3,8,7,2] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,5,8,3,6,7] => [5,7,8,4,1,6,3,2] => [6,3,2,8,4,1,5,7] => ([(0,5),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,2,7,6,3,5,4,1] => [1,7,2,3,6,4,5,8] => [1,3,5,6,4,7,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,5,2,4,3] => [1,8,2,3,4,7,5,6] => [1,3,4,6,7,5,8,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,7,4,6,2,5] => [8,6,1,2,5,3,7,4] => [2,7,4,5,3,8,6,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,6,4,5,2,1] => [6,1,2,3,5,4,7,8] => [2,3,5,4,6,1,7,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,6,5,3,4,1] => [7,1,2,3,4,6,5,8] => [2,3,4,6,5,7,1,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,5,4,2,3] => [8,1,2,3,4,5,7,6] => [2,3,4,5,7,6,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,3,4,1,2] => [4,1,3,2,6,5,8,7] => [3,2,4,1,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,7,3,5,1,2] => [5,1,3,2,6,4,8,7] => [3,2,6,4,5,1,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,7,4,5,1,2] => [6,1,3,2,5,4,8,7] => [3,2,5,4,6,1,8,7] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,8,6,7,4,5,1,3] => [7,1,3,2,5,4,8,6] => [3,2,5,4,8,6,7,1] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,7,4,5,2,3] => [8,1,3,2,5,4,7,6] => [3,2,5,4,7,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,5,7,4,6,2,3] => [8,1,4,2,5,3,7,6] => [5,3,4,2,7,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,7,4,6,1,2] => [6,1,4,2,5,3,8,7] => [5,3,4,2,6,1,8,7] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,7,3,6,1,2] => [5,1,4,2,6,3,8,7] => [6,3,4,2,5,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,6,4,5,1,2] => [2,1,6,3,5,4,8,7] => [2,1,5,4,6,3,8,7] => ([(0,3),(1,2),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,4,5,1,2] => [3,1,6,2,5,4,8,7] => [5,4,6,2,3,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,3,7,4,6,1,2] => [4,1,6,2,5,3,8,7] => [5,3,6,2,4,1,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,8,5,6,1,2] => [6,2,5,1,4,3,8,7] => [4,3,5,1,6,2,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,3,8,5,6,1,2] => [5,2,6,1,4,3,8,7] => [4,3,6,1,5,2,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,7,2,8,5,6,1,3] => [5,2,7,1,4,3,8,6] => [4,3,8,6,7,1,5,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,8,5,6,2,3] => [5,2,8,1,4,3,7,6] => [4,3,7,6,8,1,5,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,2,8,5,6,1,4] => [6,2,7,1,4,3,8,5] => [4,3,8,5,7,1,6,2] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,7,3,8,5,6,1,4] => [7,2,6,1,4,3,8,5] => [4,3,8,5,6,1,7,2] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,7,4,8,5,6,1,3] => [7,2,5,1,4,3,8,6] => [4,3,5,1,8,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[6,8,2,7,4,5,1,3] => [3,1,7,2,5,4,8,6] => [5,4,8,6,7,2,3,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,2,6,4,5,1,3] => [2,1,7,3,5,4,8,6] => [2,1,5,4,8,6,7,3] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,4,5,2,3] => [2,1,8,3,5,4,7,6] => [2,1,5,4,7,6,8,3] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,8,1,7,4,5,2,3] => [3,1,8,2,5,4,7,6] => [5,4,7,6,8,2,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,1,7,4,6,2,3] => [4,1,8,2,5,3,7,6] => [5,3,7,6,8,2,4,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,4,8,5,6,2,3] => [8,2,5,1,4,3,7,6] => [4,3,5,1,7,6,8,2] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,3,8,5,6,2,4] => [8,2,6,1,4,3,7,5] => [4,3,7,5,6,1,8,2] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,5,6,1,7,3,4] => [7,1,4,3,8,2,6,5] => [6,5,8,2,4,3,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,5,6,2,7,3,4] => [8,1,4,3,7,2,6,5] => [6,5,7,2,4,3,8,1] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,3,6,2,5] => [5,1,8,2,6,3,7,4] => [7,4,6,3,8,2,5,1] => ([(0,2),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,7,3,6,2,4] => [4,1,8,2,6,3,7,5] => [7,5,6,3,8,2,4,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,7,3,5,2,4] => [3,1,8,2,6,4,7,5] => [7,5,6,4,8,2,3,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,2,6,3,5,1,4] => [2,1,7,3,6,4,8,5] => [2,1,8,5,6,4,7,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,7,3,5,1,4] => [3,1,7,2,6,4,8,5] => [8,5,6,4,7,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,7,3,6,1,4] => [4,1,7,2,6,3,8,5] => [8,5,6,3,7,2,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,3,6,1,5] => [5,1,7,2,6,3,8,4] => [8,4,6,3,7,2,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,8,4,6,1,5] => [7,2,6,1,5,3,8,4] => [8,4,5,3,6,1,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,1,8,4,6,2,5] => [6,2,8,1,5,3,7,4] => [7,4,5,3,8,1,6,2] => ([(0,1),(0,6),(0,7),(1,4),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,3,6,2,5] => [8,1,5,2,6,3,7,4] => [7,4,6,3,5,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,7,3,6,1,5] => [7,1,5,2,6,3,8,4] => [8,4,6,3,5,2,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,2,6,1,5] => [6,1,5,2,7,3,8,4] => [8,4,7,3,5,2,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,7,2,6,1,3] => [5,1,4,2,7,3,8,6] => [8,6,7,3,4,2,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,7,2,6,1,4] => [6,1,4,2,7,3,8,5] => [8,5,7,3,4,2,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,7,3,6,1,4] => [7,1,4,2,6,3,8,5] => [8,5,6,3,4,2,7,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,3,6,2,4] => [8,1,4,2,6,3,7,5] => [7,5,6,3,4,2,8,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,7,3,5,2,4] => [8,1,3,2,6,4,7,5] => [3,2,7,5,6,4,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,7,3,5,1,4] => [7,1,3,2,6,4,8,5] => [3,2,8,5,6,4,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,7,2,5,1,4] => [6,1,3,2,7,4,8,5] => [3,2,8,5,7,4,6,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,7,2,5,1,3] => [5,1,3,2,7,4,8,6] => [3,2,8,6,7,4,5,1] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,2,4,1,3] => [4,1,3,2,7,5,8,6] => [3,2,4,1,8,6,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[6,8,5,7,1,4,2,3] => [3,1,4,2,8,5,7,6] => [4,2,3,1,7,6,8,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[5,8,6,7,1,4,2,3] => [4,1,3,2,8,5,7,6] => [3,2,4,1,7,6,8,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[4,8,6,7,1,5,2,3] => [5,1,3,2,8,4,7,6] => [3,2,7,6,8,4,5,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,2,8,6,7,3,4] => [8,4,7,1,3,2,6,5] => [3,2,6,5,7,1,8,4] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,8,6,7,3,4] => [7,4,8,1,3,2,6,5] => [3,2,6,5,8,1,7,4] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,8,5,7,3,4] => [7,3,8,1,4,2,6,5] => [4,2,6,5,8,1,7,3] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,8,5,7,3,4] => [8,3,7,1,4,2,6,5] => [4,2,6,5,7,1,8,3] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,5,7,1,6,2,4] => [6,1,4,2,8,3,7,5] => [7,5,8,3,4,2,6,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,7,1,5,2,3] => [3,1,5,2,8,4,7,6] => [7,6,8,4,5,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,4,6,1,5,2,3] => [2,1,5,3,8,4,7,6] => [2,1,7,6,8,4,5,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,3,6,1,5,2,4] => [2,1,6,3,8,4,7,5] => [2,1,7,5,8,4,6,3] => ([(0,1),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,1,5,2,4] => [3,1,6,2,8,4,7,5] => [7,5,8,4,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,3,7,1,6,2,5] => [5,1,6,2,8,3,7,4] => [7,4,8,3,6,2,5,1] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,1,6,2,5] => [6,1,5,2,8,3,7,4] => [7,4,8,3,5,2,6,1] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,8,4,7,3,5] => [8,3,7,1,5,2,6,4] => [6,4,5,2,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,8,4,7,3,5] => [7,3,8,1,5,2,6,4] => [6,4,5,2,8,1,7,3] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,2,6,1,8,4,5] => [6,2,7,3,8,1,5,4] => [5,4,8,1,7,3,6,2] => ([(0,2),(0,3),(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,6,2,8,4,5] => [6,2,8,3,7,1,5,4] => [5,4,7,1,8,3,6,2] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,6,2,7,3,4] => [4,1,8,3,7,2,6,5] => [6,5,7,2,8,3,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,1,5,2,6,3,4] => [2,1,8,4,7,3,6,5] => [2,1,6,5,7,3,8,4] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,5,1,6,3,4] => [2,1,7,4,8,3,6,5] => [2,1,6,5,8,3,7,4] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,8,2,5,1,7,3,4] => [3,1,7,4,8,2,6,5] => [6,5,8,2,3,1,7,4] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,8,2,6,1,7,3,4] => [4,1,7,3,8,2,6,5] => [6,5,8,2,7,3,4,1] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,6,1,8,4,5] => [7,2,6,3,8,1,5,4] => [5,4,8,1,6,3,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,6,9,8,7] => [9,8,7,6,5,4,1,2,3] => [2,3,9,8,7,6,5,4,1] => ([(0,8),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,4,5,6,7,8,9,1] => [7,8,6,5,4,3,2,1,9] => [8,6,5,4,3,2,1,7,9] => ([(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[6,7,4,8,3,5,1,2] => [3,2,5,1,6,4,8,7] => [6,4,5,1,3,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,4,5,2,8,1,3] => [3,2,5,4,7,1,8,6] => [8,6,7,1,3,2,5,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,4,6,2,3,1,8] => [4,2,5,3,7,6,8,1] => [8,1,5,3,4,2,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,6,3,8,1,2] => [4,2,5,3,6,1,8,7] => [6,1,5,3,4,2,8,7] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,8,3,6,1,2] => [4,2,5,1,6,3,8,7] => [6,3,5,1,4,2,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,5,3,7,1,2] => [3,1,5,4,6,2,8,7] => [6,2,3,1,5,4,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,6,3,7,1,2] => [4,1,5,3,6,2,8,7] => [6,2,5,3,4,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,8,3,7,1,2] => [4,3,5,1,6,2,8,7] => [6,2,5,1,4,3,8,7] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,7,2,4,1,8] => [4,3,6,2,7,5,8,1] => [8,1,7,5,6,2,4,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,7,2,8,1,4] => [4,3,6,2,7,1,8,5] => [8,5,7,1,6,2,4,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,3,8,2,7,1,4] => [4,3,6,1,7,2,8,5] => [8,5,7,2,6,1,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,8,2,7,1,3] => [4,3,5,1,7,2,8,6] => [8,6,7,2,5,1,4,3] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,4,6,2,7,1,3] => [4,1,5,3,7,2,8,6] => [8,6,7,2,5,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,5,2,7,1,3] => [3,1,5,4,7,2,8,6] => [8,6,7,2,3,1,5,4] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,4,5,2,6,1,3] => [2,1,5,4,7,3,8,6] => [2,1,8,6,7,3,5,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,4,5,2,3,1,7] => [3,1,5,4,7,6,8,2] => [8,2,3,1,5,4,7,6] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,6,2,3,1,7] => [4,1,5,3,7,6,8,2] => [8,2,5,3,4,1,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,8,2,3,1,7] => [4,3,5,1,7,6,8,2] => [8,2,5,1,4,3,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,2,4,1,7] => [4,3,6,1,7,5,8,2] => [8,2,7,5,6,1,4,3] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,2,8,1,7] => [4,3,6,5,7,1,8,2] => [8,2,7,1,4,3,6,5] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,5,2,7,1,8] => [5,3,6,4,7,2,8,1] => [8,1,7,2,6,4,5,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,5,2,8,1,7] => [5,3,6,4,7,1,8,2] => [8,2,7,1,6,4,5,3] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,2,5,1,7] => [5,3,6,1,7,4,8,2] => [8,2,7,4,6,1,5,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,2,5,1,7] => [5,1,6,3,7,4,8,2] => [8,2,7,4,6,3,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,6,2,4,1,7] => [4,1,6,3,7,5,8,2] => [8,2,7,5,6,3,4,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,5,2,4,1,7] => [3,1,6,4,7,5,8,2] => [8,2,3,1,7,5,6,4] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,5,2,4,1,6] => [2,1,6,4,7,5,8,3] => [2,1,8,3,7,5,6,4] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,5,2,6,1,4] => [2,1,6,4,7,3,8,5] => [2,1,8,5,7,3,6,4] => ([(0,1),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,6,2,7,1,4] => [4,1,6,3,7,2,8,5] => [8,5,7,2,6,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,2,7,1,5] => [5,1,6,3,7,2,8,4] => [8,4,7,2,6,3,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,2,7,1,5] => [5,3,6,1,7,2,8,4] => [8,4,7,2,6,1,5,3] => ([(0,1),(0,4),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,2,8,1,5] => [5,3,6,2,7,1,8,4] => [8,4,7,1,6,2,5,3] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,6,2,5,1,8] => [5,2,6,3,7,4,8,1] => [8,1,7,4,6,3,5,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,6,2,8,1,5] => [5,2,6,3,7,1,8,4] => [8,4,7,1,6,3,5,2] => ([(0,2),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,2,6,1,5] => [5,2,6,1,7,3,8,4] => [8,4,7,3,6,1,5,2] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,8,2,6,1,3] => [4,2,5,1,7,3,8,6] => [8,6,7,3,5,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,3,6,2,8,1,4] => [4,2,6,3,7,1,8,5] => [8,5,7,1,6,3,4,2] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,6,2,4,1,8] => [4,2,6,3,7,5,8,1] => [8,1,7,5,6,3,4,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,5,2,4,1,8] => [3,2,6,4,7,5,8,1] => [8,1,3,2,7,5,6,4] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,5,2,8,1,4] => [3,2,6,4,7,1,8,5] => [8,5,7,1,3,2,6,4] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,4,8,2,5,1,3] => [3,2,5,1,7,4,8,6] => [8,6,7,4,5,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,5,8,2,4,1,3] => [3,2,4,1,7,5,8,6] => [4,1,3,2,8,6,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[6,8,5,7,2,3,1,4] => [3,1,4,2,7,6,8,5] => [4,2,3,1,8,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[6,7,4,8,2,3,1,5] => [3,2,5,1,7,6,8,4] => [8,4,5,1,3,2,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,8,2,4,1,5] => [3,2,6,1,7,5,8,4] => [8,4,7,5,6,1,3,2] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,4,2,8,1,5] => [3,2,6,5,7,1,8,4] => [8,4,7,1,3,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,4,2,6,1,8] => [4,2,6,5,7,3,8,1] => [8,1,7,3,4,2,6,5] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,4,2,8,1,6] => [4,2,6,5,7,1,8,3] => [8,3,7,1,4,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,8,2,3,1,6] => [4,2,5,1,7,6,8,3] => [8,3,5,1,4,2,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,7,2,3,1,6] => [4,1,5,2,7,6,8,3] => [8,3,5,2,4,1,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,7,2,3,1,5] => [3,1,5,2,7,6,8,4] => [8,4,5,2,3,1,7,6] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,6,2,3,1,5] => [2,1,5,3,7,6,8,4] => [2,1,8,4,5,3,7,6] => ([(0,1),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,6,2,4,1,5] => [2,1,6,3,7,5,8,4] => [2,1,8,4,7,5,6,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,2,4,1,5] => [3,1,6,2,7,5,8,4] => [8,4,7,5,6,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,2,4,1,6] => [4,1,6,2,7,5,8,3] => [8,3,7,5,6,2,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,2,5,1,6] => [5,1,6,2,7,4,8,3] => [8,3,7,4,6,2,5,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,2,5,1,6] => [5,2,6,1,7,4,8,3] => [8,3,7,4,6,1,5,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,2,8,1,6] => [5,2,6,4,7,1,8,3] => [8,3,7,1,6,4,5,2] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,2,6,1,8] => [5,2,6,4,7,3,8,1] => [8,1,7,3,6,4,5,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,7,2,6,1,8] => [5,4,6,2,7,3,8,1] => [8,1,7,3,6,2,5,4] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,7,2,8,1,6] => [5,4,6,2,7,1,8,3] => [8,3,7,1,6,2,5,4] => ([(0,1),(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,8,2,7,1,6] => [5,4,6,1,7,2,8,3] => [8,3,7,2,6,1,5,4] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,5,2,7,1,6] => [5,1,6,4,7,2,8,3] => [8,3,7,2,6,4,5,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,4,2,7,1,6] => [4,1,6,5,7,2,8,3] => [8,3,7,2,4,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,4,2,7,1,5] => [3,1,6,5,7,2,8,4] => [8,4,7,2,3,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,2,6,1,5] => [2,1,6,5,7,3,8,4] => [2,1,8,4,7,3,6,5] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,4,2,5,1,7] => [3,1,6,5,7,4,8,2] => [8,2,3,1,7,4,6,5] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,4,2,6,1,7] => [4,1,6,5,7,3,8,2] => [8,2,7,3,4,1,6,5] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,5,2,6,1,7] => [5,1,6,4,7,3,8,2] => [8,2,7,3,6,4,5,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,8,2,6,1,7] => [5,4,6,1,7,3,8,2] => [8,2,7,3,6,1,5,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,2,8,1,7] => [5,4,6,3,7,1,8,2] => [8,2,7,1,6,3,5,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,1,7,5,2,3] => [3,5,1,8,2,4,7,6] => [4,7,6,8,2,5,1,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[5,8,7,6,3,2,1,4] => [4,1,2,3,6,7,8,5] => [2,3,4,1,8,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)
[6,8,4,2,7,5,1,3] => [3,1,5,7,2,4,8,6] => [4,8,6,7,2,3,1,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,3,1,2,4] => [4,1,3,2,6,8,7,5] => [3,2,4,1,8,7,5,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[7,6,5,8,1,4,3,2] => [2,3,4,1,8,5,6,7] => [4,1,2,3,6,7,8,5] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)
[7,5,6,8,1,4,2,3] => [2,4,3,1,8,5,7,6] => [4,3,1,2,7,6,8,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[7,2,1,3,8,6,4,5] => [2,7,8,6,1,3,5,4] => [3,5,4,8,6,1,2,7] => ([(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[8,9,7,6,5,4,3,2,1] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => ([(7,8)],9)
[8,7,6,5,4,3,9,2,1] => [2,3,4,5,6,7,1,8,9] => [7,1,2,3,4,5,6,8,9] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,7,6,5,4,3,2,9,1] => [2,3,4,5,6,7,8,1,9] => [8,1,2,3,4,5,6,7,9] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,9,1] => [9,1,2,3,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,10,8,7,6,5,4,3,2,1] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => ([(8,9)],10)
[7,8,9,6,5,4,3,2,1] => [3,2,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => ([(6,7),(6,8),(7,8)],9)
[9,8,7,6,5,4,3,2,10,1] => [2,3,4,5,6,7,8,9,1,10] => [9,1,2,3,4,5,6,7,8,10] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,10,1] => [10,1,2,3,4,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,4,2,7,8,6,3,5] => [8,5,7,2,1,3,6,4] => [3,6,4,7,2,1,8,5] => ([(0,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,7,3,2,8,6,4,5] => [8,2,6,7,1,3,5,4] => [3,5,4,7,1,6,8,2] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,7,8,6,1,3] => [5,7,4,2,1,3,8,6] => [3,8,6,7,4,2,1,5] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,3,5,1,7,4] => [3,7,1,6,4,8,2,5] => [5,8,2,6,4,7,1,3] => ([(0,4),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,4,8,5,7,1,3] => [3,7,5,1,4,2,8,6] => [4,2,8,6,7,5,1,3] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,1,3,7,8,4,5] => [3,7,8,6,2,1,5,4] => [5,4,8,6,2,1,3,7] => ([(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,1,4,3,5,6] => [2,1,7,8,5,6,4,3] => [2,1,6,4,3,8,5,7] => ([(0,3),(1,2),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,6,4,2,3,1,8,5] => [2,3,5,7,6,8,1,4] => [4,8,1,2,3,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,2,6,8,1,3] => [2,4,5,7,3,1,8,6] => [8,6,7,3,1,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,5,4,6,7,1,3] => [1,7,4,5,3,2,8,6] => [1,5,3,2,8,6,7,4] => ([(1,2),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,6,3,1,8,7,4] => [4,7,3,6,8,1,2,5] => [2,5,8,1,6,7,3,4] => ([(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,2,6,4,3,1,7,5] => [1,7,3,5,6,8,2,4] => [1,4,8,2,5,6,7,3] => ([(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,4,1,3,5,6] => [1,7,2,5,8,6,4,3] => [1,8,6,4,3,5,7,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,4,3,5,6,7] => [8,7,1,5,6,4,3,2] => [6,4,3,2,5,8,7,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,2,3,5,6,8] => [8,2,5,7,6,4,3,1] => [7,6,4,3,1,5,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,4,3,2,5,6] => [8,1,2,5,6,7,4,3] => [2,7,4,3,5,6,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,3,2,6,4,7] => [4,8,1,6,7,3,5,2] => [5,2,7,3,6,8,1,4] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,7,3,1,2,6,4,8] => [4,2,6,8,7,3,5,1] => [5,1,8,7,3,4,2,6] => ([(0,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,5,8,2,4,6,3,7] => [8,4,1,7,5,3,6,2] => [6,2,7,5,3,8,4,1] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,4,2,7,3,6] => [8,4,1,5,7,2,6,3] => [6,3,7,2,5,8,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,2,8,3,7,5] => [8,5,3,7,1,6,2,4] => [4,6,2,7,1,8,5,3] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8)
[5,3,6,1,2,8,4,7] => [4,6,3,8,7,1,5,2] => [5,2,8,7,1,6,3,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,7,4,5,3,8,6,2] => [8,2,5,4,6,1,3,7] => [3,6,1,5,4,7,8,2] => ([(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,4,2,7,5,8] => [3,6,8,5,7,2,4,1] => [4,1,7,2,3,8,5,6] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,3,2,4,5,6,7] => [8,1,6,7,5,4,3,2] => [7,5,4,3,2,6,8,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,2,6,7,1,4] => [1,4,6,7,3,2,8,5] => [1,8,5,7,3,2,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,2,6,8,1,7,3] => [5,4,7,3,1,8,2,6] => [6,8,2,7,3,1,5,4] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,5,6,7,8,1,3] => [5,7,4,3,2,1,8,6] => [8,6,7,4,3,2,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,3,4,1,7,8,5] => [3,7,6,5,8,2,1,4] => [4,8,2,1,3,7,6,5] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,1,4,3,2,5,7] => [1,3,8,5,6,7,4,2] => [1,7,4,2,3,6,8,5] => ([(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,1,6,5,2,4,7] => [1,6,8,3,4,7,5,2] => [1,7,5,2,4,8,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,4,6,5,3,7] => [1,8,7,5,3,4,6,2] => [1,6,2,4,8,7,5,3] => ([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,5,4,6,3,7] => [1,8,7,4,5,3,6,2] => [1,6,2,5,3,8,7,4] => ([(1,7),(2,3),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,5,1,3,4,7] => [1,7,3,4,8,6,5,2] => [1,8,6,5,2,4,7,3] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,6,4,5,3,7] => [1,8,7,3,5,4,6,2] => [1,6,2,5,4,8,7,3] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,8,2,7,3,6] => [4,8,5,1,7,2,6,3] => [6,3,7,2,8,5,1,4] => ([(0,3),(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,6,8,2,7,3,5] => [8,5,3,1,7,2,6,4] => [6,4,7,2,8,5,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,6,2,8,3,5] => [8,5,2,3,7,1,6,4] => [6,4,7,1,3,8,5,2] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,7,2,8,3,6] => [4,8,5,2,7,1,6,3] => [6,3,7,1,8,5,2,4] => ([(0,2),(0,5),(0,6),(1,3),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,5,2,8,3,6] => [8,2,5,4,7,1,6,3] => [6,3,7,1,5,4,8,2] => ([(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,8,7,1,3,4,6] => [4,7,1,2,8,6,5,3] => [2,8,6,5,3,7,1,4] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,8,2,7,3,6] => [5,8,4,1,7,2,6,3] => [6,3,7,2,8,4,1,5] => ([(0,1),(0,4),(0,7),(1,5),(1,6),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,6,2,8,7,3,5] => [8,5,3,7,1,2,6,4] => [2,6,4,7,1,8,5,3] => ([(0,6),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,4,2,8,6,7,3,5] => [8,5,7,1,3,2,6,4] => [3,2,6,4,7,1,8,5] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[3,1,2,7,4,6,8,5] => [6,8,7,2,5,3,1,4] => [4,5,3,1,8,7,2,6] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,2,7,6,8,3,5] => [8,5,7,2,3,1,6,4] => [3,1,6,4,7,2,8,5] => ([(0,6),(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7)],8)
[1,4,2,6,8,7,3,5] => [8,5,7,3,1,2,6,4] => [2,6,4,7,3,1,8,5] => ([(0,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,2,8,4,6,7,5] => [6,8,7,1,5,3,2,4] => [4,5,3,2,8,7,1,6] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,7,6,4,8,5] => [6,8,7,2,3,5,1,4] => [4,5,1,3,8,7,2,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,8,7,2,1,3,5,6] => [5,1,2,7,8,6,4,3] => [2,8,6,4,3,5,1,7] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,4,2,5,6] => [8,1,2,6,5,7,4,3] => [2,7,4,3,6,5,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,8,2,6,4,5] => [6,8,2,1,7,3,5,4] => [5,4,7,3,8,2,1,6] => ([(0,1),(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,1,3,4,7,6] => [4,7,1,8,6,5,2,3] => [3,8,6,5,2,7,1,4] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,6,8,3,7,5] => [8,5,7,3,1,6,2,4] => [4,6,2,7,3,1,8,5] => ([(0,4),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,2,7,3,8,6,5] => [8,5,7,2,6,1,3,4] => [3,4,6,1,7,2,8,5] => ([(0,6),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(5,6),(5,7)],8)
[2,1,7,8,3,4,6,5] => [7,8,2,1,6,5,3,4] => [4,6,5,3,8,2,1,7] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[10,1,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => [1,10,9,8,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[11,1,2,3,4,5,6,7,8,9,10] => [1,11,10,9,8,7,6,5,4,3,2] => [1,11,10,9,8,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[4,7,8,5,6,2,1,3] => [5,2,1,4,3,7,8,6] => [4,3,5,2,1,8,6,7] => ([(0,2),(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,4,2,5,1,3] => [3,2,1,5,7,4,8,6] => [3,2,1,8,6,7,4,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,3,7,2,1,5,4] => [1,3,6,2,7,8,4,5] => [1,5,8,4,6,2,3,7] => ([(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,3,8,2,1,5,4] => [2,3,6,1,7,8,4,5] => [5,8,4,6,1,2,3,7] => ([(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,2,1,5,4] => [3,2,1,6,7,8,4,5] => [3,2,1,5,8,4,6,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[3,7,8,4,2,5,1,6] => [6,2,1,5,7,4,8,3] => [8,3,7,4,5,6,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,3,2,1,5,6] => [5,2,1,6,7,8,4,3] => [8,4,3,5,2,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,7,2,1,4,5] => [1,3,6,2,7,8,5,4] => [1,8,5,4,6,2,3,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,3,8,2,1,4,7] => [4,3,6,1,7,8,5,2] => [8,5,2,6,1,4,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,2,5,1,7] => [6,3,5,1,7,4,8,2] => [8,2,7,4,5,1,6,3] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,8,3,5,7,1] => [7,3,5,1,6,4,2,8] => [6,4,2,5,1,7,3,8] => ([(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,4,7,3,5,8,1] => [7,3,5,2,6,4,1,8] => [6,4,1,5,2,7,3,8] => ([(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,7,2,5,1,8] => [6,3,5,2,7,4,8,1] => [8,1,7,4,5,2,6,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,2,1,5,8] => [5,3,6,2,7,8,4,1] => [8,4,1,6,2,5,3,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,3,2,1,6,5,7] => [1,5,6,7,8,3,4,2] => [1,4,2,8,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[6,4,3,2,1,7,5,8] => [3,5,6,7,8,2,4,1] => [4,1,8,2,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,2,7,1,6,8] => [5,4,6,7,2,8,3,1] => [8,3,1,7,2,5,4,6] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,4,2,8,6,1,7] => [6,4,5,7,1,3,8,2] => [8,2,3,7,1,5,6,4] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,2,1,8,5,7] => [3,5,6,7,8,1,4,2] => [4,2,8,1,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[8,4,3,2,1,7,5,6] => [1,5,6,7,8,2,4,3] => [1,4,3,8,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[8,4,3,2,1,7,6,5] => [1,5,6,7,8,2,3,4] => [1,3,4,8,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[7,4,3,2,1,8,6,5] => [2,5,6,7,8,1,3,4] => [3,4,8,1,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,4,3,2,1,8,7,5] => [3,5,6,7,8,1,2,4] => [2,4,8,1,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[5,6,3,8,2,1,7,4] => [4,3,6,1,7,8,2,5] => [5,8,2,6,1,4,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,5,3,2,8,1,6,4] => [2,4,6,7,1,8,3,5] => [5,8,3,7,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,5,4,2,7,6,1,3] => [1,4,5,7,2,3,8,6] => [1,3,8,6,7,2,4,5] => ([(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,8,7,2,1,3] => [5,3,4,1,2,7,8,6] => [2,4,1,5,3,8,6,7] => ([(0,6),(1,5),(2,4),(3,4),(5,7),(6,7)],8)
[2,6,5,7,8,3,4,1] => [7,3,4,2,1,6,5,8] => [4,2,1,6,5,7,3,8] => ([(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,5,4,2,7,8,1,3] => [3,4,5,7,2,1,8,6] => [8,6,7,2,1,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,4,2,6,7,1,3] => [1,4,5,7,3,2,8,6] => [1,8,6,7,3,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,2,6,1,7,4] => [1,4,6,7,3,8,2,5] => [1,5,8,2,7,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,5,3,2,6,1,8,4] => [2,4,6,7,3,8,1,5] => [5,8,1,2,7,3,4,6] => ([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,6,3,7,2,1,8,4] => [4,3,6,2,7,8,1,5] => [5,8,1,6,2,4,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,6,4,7,3,8,5,1] => [7,3,5,2,6,1,4,8] => [4,6,1,5,2,7,3,8] => ([(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,4,2,7,8,1,6] => [6,4,5,7,2,1,8,3] => [8,3,7,2,1,5,6,4] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,1,6,7,5] => [1,5,6,7,8,3,2,4] => [1,4,8,3,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,3,2,1,5,7,6] => [1,5,6,7,8,4,2,3] => [1,3,8,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,3,2,1,5,8,7] => [3,5,6,7,8,4,1,2] => [2,8,4,1,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,6,8,1,7] => [6,4,5,7,3,1,8,2] => [8,2,7,3,1,5,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,1,6,2,4] => [4,2,6,1,8,3,7,5] => [7,5,8,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,4,3,7,8,6] => [4,7,8,5,6,2,1,3] => [3,6,2,1,4,8,5,7] => ([(0,4),(1,7),(2,4),(2,7),(3,5),(3,6),(5,6),(5,7),(6,7)],8)
[4,6,3,1,5,2,7,8] => [5,3,6,8,4,7,2,1] => [7,2,1,8,4,5,3,6] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,2,1,5,7,4,8] => [3,6,7,8,4,2,5,1] => [5,1,8,4,2,3,6,7] => ([(0,7),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,6,4,1,3,7,8] => [4,7,3,5,8,6,2,1] => [8,6,2,1,5,7,3,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,4,7,8,3] => [3,4,7,8,5,2,1,6] => [6,8,5,2,1,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,3,1,4,7,2,8] => [3,4,6,8,5,2,7,1] => [7,1,8,5,2,3,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,5,3,8,7,6] => [7,5,8,4,6,1,2,3] => [2,3,6,1,8,4,7,5] => ([(0,7),(1,7),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7)],8)
[3,4,5,1,2,8,7,6] => [6,5,4,8,7,1,2,3] => [2,3,8,7,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,5,3,1,7,6] => [7,5,1,4,6,8,2,3] => [3,8,2,4,6,7,5,1] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,8,2,1,7,6] => [6,5,4,1,7,8,2,3] => [3,8,2,6,5,4,1,7] => ([(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,2,8,1,7,6] => [6,5,4,7,1,8,2,3] => [3,8,2,7,1,6,5,4] => ([(0,1),(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,2,1,7,5,8] => [6,5,3,7,8,2,4,1] => [4,1,8,2,6,5,3,7] => ([(0,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,5,6,2,7,1,8,4] => [6,4,3,7,2,8,1,5] => [5,8,1,7,2,6,4,3] => ([(0,3),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,7,8,1,4] => [6,4,3,7,2,1,8,5] => [8,5,7,2,1,6,4,3] => ([(0,1),(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,2,8,7,1,5] => [6,5,3,7,1,2,8,4] => [2,8,4,7,1,6,5,3] => ([(0,4),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,8,2,7,1,5] => [6,5,3,1,7,2,8,4] => [8,4,7,2,6,5,3,1] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,6,3,7,1,5] => [7,5,1,3,6,2,8,4] => [8,4,6,2,3,7,5,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,8,2,7,5,1] => [6,5,3,1,7,2,4,8] => [4,7,2,6,5,3,1,8] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,7,4,1,8] => [6,4,3,7,2,5,8,1] => [8,1,5,7,2,6,4,3] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,6,7,3,4,1] => [7,4,1,3,2,6,5,8] => [3,2,6,5,7,4,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,7,3,4,2] => [8,1,4,3,2,6,5,7] => [4,3,2,6,5,7,8,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,7,3,2,4] => [8,1,4,3,2,6,7,5] => [4,3,2,7,5,6,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,5,6,8,7,2,1,4] => [6,4,3,1,2,7,8,5] => [2,8,5,6,4,3,1,7] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,8,7,2,5] => [6,5,3,8,1,2,7,4] => [2,7,4,8,1,6,5,3] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,1,8,6,7,4,5] => [7,6,8,1,3,2,5,4] => [3,2,5,4,8,1,7,6] => ([(0,3),(0,7),(1,2),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,5,1,6,7,8,4,3] => [7,4,8,3,2,1,5,6] => [5,6,8,3,2,1,7,4] => ([(0,3),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,6,7,4,8,3] => [7,4,8,3,2,5,1,6] => [5,1,6,8,3,2,7,4] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,5,1,6,7,4,3,8] => [7,4,8,3,2,5,6,1] => [6,1,5,8,3,2,7,4] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,5,6,1,7,4,2,8] => [6,4,3,8,2,5,7,1] => [7,1,5,8,2,6,4,3] => ([(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,1,7,4,8,2] => [6,4,3,8,2,5,1,7] => [5,1,7,8,2,6,4,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,8,7,5,2] => [6,5,3,8,1,2,4,7] => [2,4,7,8,1,6,5,3] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,6,1,7,5,3] => [7,5,1,3,8,2,4,6] => [4,6,8,2,3,7,5,1] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,6,2,7,5,3] => [8,1,5,3,7,2,4,6] => [4,6,7,2,5,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,8,6,7,1,4,3] => [7,4,1,3,2,8,5,6] => [3,2,6,8,5,7,4,1] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,8,1,3,2] => [5,4,3,2,1,8,6,7] => [5,4,3,2,1,7,8,6] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,1,3,8,2] => [5,4,3,2,8,6,1,7] => [7,8,6,1,5,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,6,7,1,3,2,8] => [5,4,3,2,8,6,7,1] => [7,1,5,4,3,2,8,6] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,7,4,1,2] => [6,4,3,1,2,5,8,7] => [2,5,6,4,3,1,8,7] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,6,7,4,1,3] => [7,4,1,3,2,5,8,6] => [3,2,5,8,6,7,4,1] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,7,4,2,3] => [8,1,4,3,2,5,7,6] => [4,3,2,5,7,6,8,1] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,7,4,3,2] => [8,1,4,3,2,5,6,7] => [4,3,2,5,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,6,7,4,3,1] => [7,4,1,3,2,5,6,8] => [3,2,5,6,7,4,1,8] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,8,5,6,7] => [6,7,5,8,1,4,3,2] => [4,3,2,8,1,7,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,7),(6,7)],8)
[3,2,5,1,6,7,4,8] => [6,7,4,8,3,2,5,1] => [5,1,8,3,2,7,4,6] => ([(0,6),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,2,6,1,8,3,7,4] => [4,7,3,8,1,6,2,5] => [5,6,2,8,1,7,3,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,1,6,4,2,3,8] => [2,4,8,3,5,7,6,1] => [7,6,1,2,5,8,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,1,8,5,7,3] => [5,7,3,8,1,4,2,6] => [4,2,6,8,1,7,3,5] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(2,6),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,4,1,8,6,5,7] => [6,7,5,8,1,3,4,2] => [4,2,3,8,1,7,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(6,7)],8)
[3,7,5,1,8,6,4,2] => [6,2,4,8,1,3,5,7] => [3,5,7,8,1,4,6,2] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,7,5,1,8,2] => [5,3,6,2,4,8,1,7] => [7,8,1,4,6,2,5,3] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,1,7,5,3,8] => [5,7,3,8,2,4,6,1] => [6,1,4,8,2,7,3,5] => ([(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,4,7,3,6,1,8,2] => [4,5,2,6,3,8,1,7] => [7,8,1,6,3,5,2,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,5,1,8,6,2] => [5,6,2,4,8,1,3,7] => [3,7,8,1,4,6,2,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,8,5,1,7,2] => [3,5,6,1,4,8,2,7] => [7,8,2,4,6,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,3,6,1,7,2] => [4,1,5,6,3,8,2,7] => [7,8,2,6,3,4,1,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,8,3,6,1,7,2] => [4,5,1,6,3,8,2,7] => [7,8,2,6,3,5,1,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,4,6,1,7,3,8] => [7,4,5,3,8,2,6,1] => [6,1,8,2,5,3,7,4] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,1,8,5,7,3] => [5,3,7,8,1,4,2,6] => [4,2,6,8,1,5,3,7] => ([(0,7),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,4,8,2,1,6,3,7] => [4,5,1,7,8,3,6,2] => [6,2,8,3,5,1,4,7] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,6,1,8,4,7] => [6,7,4,3,8,1,5,2] => [5,2,8,1,7,4,3,6] => ([(0,5),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,2,1,6,8,5,4,7] => [6,7,8,3,1,4,5,2] => [5,2,4,8,3,1,6,7] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,7,1,5,8,6,4] => [6,7,2,8,4,1,3,5] => [3,5,8,4,1,7,2,6] => ([(0,4),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,3,2,6,7,1,5] => [5,1,6,7,3,2,8,4] => [8,4,7,3,2,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,6,7,1,5] => [5,6,1,7,3,2,8,4] => [8,4,7,3,2,6,1,5] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,6,7,8,1,5] => [5,6,7,3,2,1,8,4] => [8,4,7,3,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,6,7,1,5,8] => [5,6,7,3,2,8,4,1] => [8,4,1,7,3,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,6,8,1,5] => [5,6,2,7,3,1,8,4] => [8,4,7,3,1,6,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,8,2,6,1,5] => [5,6,2,1,7,3,8,4] => [8,4,7,3,6,2,1,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,4,8,1,6,3] => [7,4,2,5,1,8,3,6] => [6,8,3,5,1,7,4,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,5,7,8,1,6,4] => [6,7,4,2,1,8,3,5] => [5,8,3,7,4,2,1,6] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,7,1,6,4,8] => [6,7,4,2,8,3,5,1] => [5,1,8,3,7,4,2,6] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,2,7,1,5,4,8] => [3,6,7,2,8,4,5,1] => [5,1,8,4,7,2,3,6] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,3,2,7,8,1,5,4] => [3,6,7,2,1,8,4,5] => [5,8,4,7,2,1,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,7,5,3,8,6,4] => [7,8,2,4,6,1,3,5] => [3,5,6,1,4,8,2,7] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,1,8,5,3,7,4] => [3,7,8,1,4,6,2,5] => [5,6,2,4,8,1,3,7] => ([(0,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,2,1,4,7,8,5] => [3,6,7,8,5,2,1,4] => [4,8,5,2,1,3,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,1,4,7,5,8] => [3,6,7,8,5,2,4,1] => [4,1,8,5,2,3,6,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,2,1,7,4,6,8] => [6,4,7,8,2,5,3,1] => [5,3,1,8,2,6,4,7] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7)],8)
[3,5,2,1,7,8,4,6] => [6,4,7,8,2,1,5,3] => [5,3,8,2,1,6,4,7] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,4,2,1,7,3,6] => [4,1,5,7,8,2,6,3] => [6,3,8,2,4,1,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,1,8,3,7,5] => [5,3,7,8,1,6,2,4] => [4,6,2,8,1,5,3,7] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,1,7,3,8,6,5] => [7,5,8,2,6,1,3,4] => [3,4,6,1,8,2,7,5] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7)],8)
[4,8,3,7,2,1,5,6] => [5,1,6,2,7,8,4,3] => [8,4,3,6,2,5,1,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,8,1,7,4,6] => [6,4,7,1,8,2,5,3] => [5,3,8,2,7,1,6,4] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,8,1,4,7,5] => [3,6,7,1,8,5,2,4] => [4,8,5,2,7,1,3,6] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,9,8,7,6,5,4,3,2] => [9,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,9,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,10,9,8,7,6,5,4,3,2] => [10,1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,10,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[10,9,8,7,6,5,4,3,2,1,11] => [2,3,4,5,6,7,8,9,10,11,1] => [11,1,2,3,4,5,6,7,8,9,10] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[1,11,10,9,8,7,6,5,4,3,2] => [11,1,2,3,4,5,6,7,8,9,10] => [2,3,4,5,6,7,8,9,10,11,1] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[8,6,7,2,5,3,4,1] => [1,3,2,7,4,6,5,8] => [1,3,2,6,5,7,4,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,4,5,1,3,2] => [1,3,2,5,4,8,6,7] => [1,3,2,5,4,7,8,6] => ([(1,4),(2,3),(5,7),(6,7)],8)
[8,6,7,1,5,3,4,2] => [1,3,2,8,4,6,5,7] => [1,3,2,6,5,7,8,4] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,3,5,1,4,2] => [1,3,2,6,4,8,5,7] => [1,3,2,7,8,5,6,4] => ([(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,7,5,6,1,4,2] => [1,6,2,4,3,8,5,7] => [1,4,3,7,8,5,6,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,7,3,6,1,4,2] => [1,4,2,6,3,8,5,7] => [1,7,8,5,6,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,7,4,6,1,5,2] => [1,6,2,5,3,8,4,7] => [1,7,8,4,5,3,6,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,7,1,6,4,5,2] => [1,6,2,8,3,5,4,7] => [1,5,4,7,8,3,6,2] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,6,4,5,2] => [1,8,2,6,3,5,4,7] => [1,5,4,6,3,7,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,5,6,3,4,2] => [1,8,2,4,3,6,5,7] => [1,4,3,6,5,7,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,7,1,6,2,5,4] => [1,6,2,8,3,7,4,5] => [1,5,7,4,8,3,6,2] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,2,6,4,5,1] => [1,6,2,7,3,5,4,8] => [1,5,4,7,3,6,2,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,6,4,5,1] => [1,7,2,6,3,5,4,8] => [1,5,4,6,3,7,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,6,1,5,4] => [1,7,2,6,3,8,4,5] => [1,5,8,4,6,3,7,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,6,3,5,4] => [1,7,2,8,3,6,4,5] => [1,5,6,4,8,3,7,2] => ([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,4,3,6,5] => [1,8,2,7,5,6,3,4] => [1,4,6,3,7,5,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,3,2,7,4,6,5] => [1,8,6,7,2,5,3,4] => [1,4,5,3,7,2,8,6] => ([(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,1,8,3,7,4,6,5] => [7,8,1,6,2,5,3,4] => [4,5,3,6,2,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,5,6,3,4,1] => [1,7,2,4,3,6,5,8] => [1,4,3,6,5,7,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,4,7,5,6,2,3,1] => [1,5,2,4,3,7,6,8] => [1,4,3,5,2,7,6,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,6,3,4,1] => [1,4,2,7,3,6,5,8] => [1,6,5,7,3,4,2,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,7,2,6,1,4,3] => [1,4,2,7,3,8,5,6] => [1,6,8,5,7,3,4,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,7,5,6,1,4,3] => [1,7,2,4,3,8,5,6] => [1,4,3,6,8,5,7,2] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,1,5,2,4,3] => [1,3,2,8,4,7,5,6] => [1,3,2,6,7,5,8,4] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,6,4,5,3] => [1,8,2,7,3,5,4,6] => [1,5,4,6,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,6,3,5,1] => [1,5,2,7,3,6,4,8] => [1,6,4,7,3,5,2,8] => ([(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,6,2,5,3] => [1,8,2,5,3,7,4,6] => [1,6,7,4,5,3,8,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,6,2,4,3] => [1,4,2,8,3,7,5,6] => [1,6,7,5,8,3,4,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,7,4,6,1,3,2] => [1,4,2,5,3,8,6,7] => [1,5,3,4,2,7,8,6] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[8,5,7,1,6,3,4,2] => [1,4,2,8,3,6,5,7] => [1,6,5,7,8,3,4,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,1,6,3,5,2] => [1,5,2,8,3,6,4,7] => [1,6,4,7,8,3,5,2] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,8,2,4,6,3] => [8,4,2,1,7,5,3,6] => [6,7,5,3,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,8,4,2,5,1] => [6,3,2,1,5,7,4,8] => [7,4,5,6,3,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,3,2,1,4] => [4,3,1,2,6,7,8,5] => [2,4,3,1,8,5,6,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[6,5,8,4,2,3,1,7] => [3,4,1,5,7,6,8,2] => [8,2,4,1,3,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,8,3,7,4,6] => [8,7,4,1,6,2,5,3] => [5,3,6,2,8,7,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,7,3,5,4,6] => [7,1,8,2,6,4,5,3] => [5,3,6,4,8,2,7,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,1,6,2,5] => [2,1,6,5,8,3,7,4] => [2,1,7,4,8,3,6,5] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,7,3,4,1,8,2,5] => [3,2,6,5,8,1,7,4] => [7,4,8,1,3,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,4,1,8,2,6] => [4,2,6,5,8,1,7,3] => [7,3,8,1,4,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,4,1,6,2,8] => [4,2,6,5,8,3,7,1] => [7,1,8,3,4,2,6,5] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,7,3,4,1,8] => [4,3,7,2,6,5,8,1] => [8,1,6,5,7,2,4,3] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,8,3,5,1,7] => [5,3,7,1,6,4,8,2] => [8,2,6,4,7,1,5,3] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,4,7,1,2] => [4,3,6,1,5,2,8,7] => [5,2,6,1,4,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[9,2,1,3,4,5,6,7,8] => [1,8,9,7,6,5,4,3,2] => [1,9,7,6,5,4,3,2,8] => ([(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[10,2,1,3,4,5,6,7,8,9] => [1,9,10,8,7,6,5,4,3,2] => [1,10,8,7,6,5,4,3,2,9] => ([(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,2,3,5,6,7,8,9,1] => [6,8,7,5,4,3,2,1,9] => [8,7,5,4,3,2,1,6,9] => ([(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,4,5,6,7,8,9,10,1] => [8,9,7,6,5,4,3,2,1,10] => [9,7,6,5,4,3,2,1,8,10] => ([(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,5,6,7,8,9,10,11,1] => [10,9,8,7,6,5,4,3,2,1,11] => [10,9,8,7,6,5,4,3,2,1,11] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[4,6,3,5,2,1,8,7] => [5,3,6,4,7,8,1,2] => [2,8,1,6,4,5,3,7] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,4,5,7,1,3] => [7,3,1,5,4,2,8,6] => [5,4,2,8,6,7,3,1] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,9,10,11,12,1,2,3,4,5,6] => [6,5,4,3,2,1,12,11,10,9,8,7] => [6,5,4,3,2,1,12,11,10,9,8,7] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,4,3,7,6,1,5,2] => [1,5,6,2,3,8,4,7] => [1,3,7,8,4,6,2,5] => ([(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,4,7,6,1,5,2] => [1,6,5,2,3,8,4,7] => [1,3,7,8,4,6,5,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,4,7,1,6,5,3] => [1,7,5,2,8,3,4,6] => [1,4,6,8,3,7,5,2] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,7,3,6,8,4,2] => [4,8,2,6,3,1,5,7] => [5,6,3,1,7,8,2,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,3,6,1,4,2] => [4,1,2,6,3,8,5,7] => [2,7,8,5,6,3,4,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,3,7,6,1,5,2] => [5,1,6,2,3,8,4,7] => [3,7,8,4,6,2,5,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,6,1,5,2] => [6,1,5,2,3,8,4,7] => [3,7,8,4,5,2,6,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,7,1,6,5,3] => [7,1,5,2,8,3,4,6] => [4,6,8,3,5,2,7,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,7,2,6,5,3] => [1,8,5,2,7,3,4,6] => [1,4,6,7,3,8,5,2] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,3,1,7,6,5,4] => [7,1,6,8,2,3,4,5] => [3,4,5,8,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,1,7,6,5,4] => [1,7,6,8,2,3,4,5] => [1,3,4,5,8,2,7,6] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[8,3,2,1,7,6,5,4] => [1,6,7,8,2,3,4,5] => [1,3,4,5,8,2,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[3,4,1,7,6,8,5,2] => [6,5,8,2,3,1,4,7] => [3,1,4,7,8,2,6,5] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,7,2,1,6,4,3] => [1,4,2,7,8,3,5,6] => [1,5,6,8,3,4,2,7] => ([(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,2,8,6,4,3] => [8,4,2,7,1,3,5,6] => [3,5,6,7,1,8,4,2] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,5,7,1,6,8,4,2] => [6,4,2,8,3,1,5,7] => [5,7,8,3,1,6,4,2] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,8,2,6,4,3] => [8,4,2,1,7,3,5,6] => [5,6,7,3,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,7,2,6,5,3] => [1,5,8,2,7,3,4,6] => [1,4,6,7,3,8,2,5] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,4,8,7,2,6,5,3] => [8,5,1,2,7,3,4,6] => [2,4,6,7,3,8,5,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,7,8,6,1,4,2] => [4,6,2,1,3,8,5,7] => [3,7,8,5,6,2,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,8,1,6,4,3] => [4,7,2,1,8,3,5,6] => [5,6,8,3,7,2,1,4] => ([(0,1),(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,1,6,5,3] => [5,7,1,2,8,3,4,6] => [2,4,6,8,3,7,1,5] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,1,7,6,5,4] => [6,7,1,8,2,3,4,5] => [3,4,5,8,2,7,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,2,7,6,5,4] => [8,6,1,7,2,3,4,5] => [3,4,5,7,2,8,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,2,7,6,5,4] => [1,6,8,7,2,3,4,5] => [1,3,4,5,8,7,2,6] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,2,1,3,7,6,5,4] => [1,7,8,6,2,3,4,5] => [1,3,4,5,8,6,2,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,7,8,2,6,4,3] => [4,8,2,1,7,3,5,6] => [5,6,7,3,8,2,1,4] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,2,5,4,3] => [3,2,8,1,7,4,5,6] => [5,6,7,4,8,1,3,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,8,1,7,2,6,5,3] => [5,1,8,2,7,3,4,6] => [4,6,7,3,8,2,5,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,3,7,6,5,4] => [7,1,8,6,2,3,4,5] => [3,4,5,8,6,2,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,3,7,6,5,4] => [8,1,7,6,2,3,4,5] => [3,4,5,7,6,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,7,6,5,4] => [1,8,7,6,2,3,4,5] => [1,3,4,5,8,7,6,2] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,4,5,2,3] => [3,2,8,1,5,4,7,6] => [5,4,7,6,8,1,3,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,5,6,1,8,7,2,3] => [5,4,3,8,1,2,7,6] => [2,7,6,8,1,5,4,3] => ([(0,2),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,5,7,2,6,4] => [1,8,6,4,2,7,3,5] => [1,5,7,3,8,6,4,2] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,1,8,3,7,4] => [3,7,4,8,1,6,2,5] => [5,6,2,8,1,3,7,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[3,6,2,1,4,8,7,5] => [6,3,7,8,5,1,2,4] => [2,4,8,5,1,6,3,7] => ([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,5,2,7,3,6,4] => [1,8,4,7,2,6,3,5] => [1,5,6,3,7,2,8,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,5,8,1,7,3] => [5,7,3,4,1,8,2,6] => [6,8,2,4,1,7,3,5] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,1,5,8,3,7] => [7,5,3,8,4,1,6,2] => [6,2,8,4,1,7,5,3] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,5,8,3,7,1] => [5,7,3,4,1,6,2,8] => [6,2,4,1,7,3,5,8] => ([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,1,8,5,7,3] => [7,5,3,8,1,4,2,6] => [4,2,6,8,1,7,5,3] => ([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[2,4,6,1,8,3,7,5] => [7,5,3,8,1,6,2,4] => [4,6,2,8,1,7,5,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[2,6,1,4,8,7,5,3] => [7,3,8,5,1,2,4,6] => [2,4,6,8,5,1,7,3] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,4,8,7,5,3] => [7,8,3,5,1,2,4,6] => [2,4,5,1,6,8,3,7] => ([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,3,4,1,8,6,7] => [7,4,6,5,8,1,3,2] => [3,2,8,1,6,5,7,4] => ([(0,6),(0,7),(1,2),(1,3),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,5,1,3,7,6] => [5,1,7,4,8,6,2,3] => [3,8,6,2,7,4,5,1] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,1,5,4,8,6] => [6,2,7,8,4,5,1,3] => [3,5,1,8,4,6,2,7] => ([(0,6),(1,3),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,5,4,7,6] => [6,1,7,8,4,5,2,3] => [3,5,2,8,4,6,1,7] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,2,1,5,4,6,7] => [1,6,7,8,4,5,3,2] => [1,5,3,2,8,4,6,7] => ([(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[8,3,2,1,6,4,5,7] => [1,6,7,8,3,5,4,2] => [1,5,4,2,8,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6)],8)
[8,4,2,5,1,6,3,7] => [1,5,7,4,8,3,6,2] => [1,6,2,8,3,7,4,5] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,2,1,5,6,4,7] => [1,6,7,8,4,3,5,2] => [1,5,2,8,4,3,6,7] => ([(1,7),(2,7),(3,4),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,2,1,4,6,5,7] => [1,6,7,8,5,3,4,2] => [1,4,2,8,5,3,6,7] => ([(1,7),(2,7),(3,4),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,8,1,4,6,7,5] => [6,7,1,8,5,3,2,4] => [4,8,5,3,2,7,1,6] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,4,7,5,6] => [6,1,7,8,5,2,4,3] => [4,3,8,5,2,6,1,7] => ([(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,5,1,7,3,6] => [5,1,7,4,8,2,6,3] => [6,3,8,2,7,4,5,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,2,1,5,8,4,6] => [6,2,7,8,4,1,5,3] => [5,3,8,4,1,6,2,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,2,1,7,5,8,6,4] => [6,7,8,2,4,1,3,5] => [3,4,1,5,8,2,6,7] => ([(0,7),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)
[3,2,7,1,6,8,4,5] => [6,7,2,8,3,1,5,4] => [5,4,8,3,1,7,2,6] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,6,1,8,3,5] => [5,7,2,3,8,1,6,4] => [6,4,8,1,3,7,2,5] => ([(0,1),(0,5),(0,6),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,8,1,6,7,4,5] => [6,7,1,8,3,2,5,4] => [5,4,8,3,2,7,1,6] => ([(0,1),(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,7,5,6,4] => [6,7,8,1,2,4,3,5] => [2,4,3,5,8,1,6,7] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,8,1,7,4,6,5] => [6,7,1,8,2,5,3,4] => [4,5,3,8,2,7,1,6] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,1,6,4,7,5] => [6,7,1,8,3,5,2,4] => [4,5,2,8,3,7,1,6] => ([(0,4),(0,6),(1,2),(1,3),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,1,6,4,8,5] => [6,7,2,8,3,5,1,4] => [4,5,1,8,3,7,2,6] => ([(0,3),(0,4),(1,2),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,1,3,6,5] => [5,7,1,2,8,6,3,4] => [2,4,8,6,3,7,1,5] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,8,1,3,6,5] => [5,7,2,1,8,6,3,4] => [4,8,6,3,7,2,1,5] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,8,1,3,7,5] => [5,7,3,1,8,6,2,4] => [4,8,6,2,7,3,1,5] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,7,1,3,8,5] => [5,7,3,2,8,6,1,4] => [4,8,6,1,7,3,2,5] => ([(0,1),(0,4),(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,1,8,4,7,5] => [6,7,3,8,1,5,2,4] => [4,5,2,8,1,7,3,6] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,2,1,8,5,4,6] => [6,2,7,8,1,4,5,3] => [5,3,4,8,1,6,2,7] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,7,1,8,6,4,5] => [6,7,2,8,1,3,5,4] => [3,5,4,8,1,7,2,6] => ([(0,4),(0,6),(1,5),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,1,6,8,5,7,4] => [6,7,8,3,1,4,2,5] => [4,2,5,8,3,1,6,7] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,1,8,7,4,5] => [6,7,3,8,1,2,5,4] => [2,5,4,8,1,7,3,6] => ([(0,7),(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[4,2,6,8,1,7,3,5] => [5,7,3,1,8,2,6,4] => [6,4,8,2,7,3,1,5] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,6,8,7,1,2,5] => [5,6,3,1,2,8,7,4] => [2,8,7,4,6,3,1,5] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,7,1,8,3,5] => [5,7,3,2,8,1,6,4] => [6,4,8,1,7,3,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,6,1,7,8,4,5] => [6,7,3,8,2,1,5,4] => [5,4,8,2,1,7,3,6] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,4,6,8,7,5,1,2] => [6,5,3,1,2,4,8,7] => [2,4,6,5,3,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,4,8,7,1,2] => [4,6,3,5,1,2,8,7] => [2,5,1,6,3,4,8,7] => ([(0,6),(1,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[1,4,6,2,7,8,5,3] => [8,5,3,7,2,1,4,6] => [4,6,7,2,1,8,5,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(6,7)],8)
[4,3,6,7,8,5,1,2] => [5,6,3,2,1,4,8,7] => [4,6,3,2,1,5,8,7] => ([(0,4),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,3,8,7,1,2] => [5,4,3,6,1,2,8,7] => [2,6,1,5,4,3,8,7] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,5,4,7,1,2] => [3,1,6,4,5,2,8,7] => [5,2,3,1,6,4,8,7] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,5,8,3,6,4] => [2,8,7,4,1,6,3,5] => [5,6,3,8,7,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,1,5,4,8,7,3] => [3,7,8,4,5,1,2,6] => [2,5,1,3,6,8,4,7] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,1,2,4,6,5,3] => [2,1,8,7,5,3,4,6] => [2,1,4,6,8,7,5,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,1,8,2,7,5] => [5,6,3,8,1,7,2,4] => [4,7,2,8,1,6,3,5] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,8,1,5,2,3,7,6] => [5,1,8,4,7,6,2,3] => [3,7,6,2,8,4,5,1] => ([(0,4),(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,6,4,3,2,7] => [4,1,8,3,5,6,7,2] => [7,2,5,6,8,3,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,6,4,3,2,7] => [8,4,1,3,5,6,7,2] => [7,2,3,5,6,8,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,5,8,2,7] => [6,5,3,8,4,1,7,2] => [7,2,8,4,1,6,5,3] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,8,4,1,5,3,2,6] => [2,1,5,8,4,6,7,3] => [2,1,7,3,6,8,4,5] => ([(0,1),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,5,1,6,3,2,4] => [2,1,4,8,3,6,7,5] => [2,1,7,5,6,8,3,4] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,8,7,4,3,2,5] => [8,3,1,2,5,6,7,4] => [2,7,4,5,6,8,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,4,3,2,5] => [3,8,2,1,5,6,7,4] => [7,4,5,6,8,2,1,3] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,1,8,6,4,3,2,5] => [2,8,1,3,5,6,7,4] => [3,7,4,5,6,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,7,6,4,3,2,5] => [8,1,2,3,5,6,7,4] => [2,3,7,4,5,6,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,1,4,5,6,3] => [2,1,7,8,5,4,3,6] => [2,1,6,8,5,4,3,7] => ([(0,4),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,5,4,6,7,3] => [7,1,8,4,5,3,2,6] => [5,3,2,6,8,4,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,5,4,6,8,3] => [2,7,8,4,5,3,1,6] => [5,3,1,2,6,8,4,7] => ([(0,6),(1,4),(2,5),(2,7),(3,5),(3,7),(4,6),(5,7),(6,7)],8)
[4,3,6,1,5,7,2,8] => [5,6,3,8,4,2,7,1] => [7,1,8,4,2,6,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,8,5,7,2,4] => [8,6,3,1,4,2,7,5] => [4,2,7,5,8,6,3,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,1,3,7,2,8] => [4,5,3,8,6,2,7,1] => [7,1,8,6,2,5,3,4] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,7,5,2,3,8,6] => [5,8,2,4,7,6,1,3] => [3,7,6,1,4,8,2,5] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,4,5,8,3,7,6] => [8,7,5,4,1,6,2,3] => [3,6,2,8,7,5,4,1] => ([(0,1),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,5,4,1,8,6] => [2,7,6,4,5,8,1,3] => [3,8,1,2,5,7,6,4] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,3,8,1,7,5] => [5,7,3,6,1,8,2,4] => [4,8,2,6,1,7,3,5] => ([(0,1),(0,4),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,3,4,1,6,5] => [2,1,7,6,5,8,3,4] => [2,1,4,8,3,7,6,5] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,8,4,3,2,6] => [2,8,4,1,5,6,7,3] => [7,3,5,6,8,4,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,8,4,3,2,7] => [3,4,8,1,5,6,7,2] => [7,2,5,6,8,1,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,7,1,4,3,2,8] => [3,4,2,8,5,6,7,1] => [7,1,4,2,3,6,8,5] => ([(0,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,5,8,1,4,3,2,6] => [2,4,1,8,5,6,7,3] => [7,3,4,1,2,6,8,5] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,7,8,4,3,2,6] => [8,4,2,1,5,6,7,3] => [7,3,5,6,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,5,1,3,8,6] => [7,5,2,4,8,6,1,3] => [3,8,6,1,4,7,5,2] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,6,1,3,2,5] => [2,1,5,3,8,6,7,4] => [2,1,7,4,5,3,8,6] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,1,3,2,6] => [2,1,4,5,8,6,7,3] => [2,1,7,3,4,5,8,6] => ([(0,1),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[3,5,6,4,1,8,2,7] => [6,4,3,5,8,1,7,2] => [7,2,8,1,5,6,4,3] => ([(0,1),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,4,5,1,3,8,7] => [7,3,5,4,8,6,1,2] => [2,8,6,1,5,4,7,3] => ([(0,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,4,3,2,8] => [2,3,4,8,5,6,7,1] => [7,1,2,3,4,6,8,5] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[9,8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,9,8,7] => ([(6,7),(6,8),(7,8)],9)
[9,7,8,5,6,3,4,1,2] => [1,3,2,5,4,7,6,9,8] => [1,3,2,5,4,7,6,9,8] => ([(1,8),(2,7),(3,6),(4,5)],9)
[9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => ([(7,8)],9)
[9,10,1,2,3,4,5,6,7,8] => [2,1,10,9,8,7,6,5,4,3] => [2,1,10,9,8,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,9,10,1,2,3,4,5,6] => [4,3,2,1,10,9,8,7,6,5] => [4,3,2,1,10,9,8,7,6,5] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,7,8,1,2,3,4,5,6] => [2,1,4,3,10,9,8,7,6,5] => [2,1,4,3,10,9,8,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,5,6,7,8,1,2,3,4] => [2,1,6,5,4,3,10,9,8,7] => [2,1,6,5,4,3,10,9,8,7] => ([(0,1),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(7,8),(7,9),(8,9)],10)
[9,10,7,8,5,6,1,2,3,4] => [2,1,4,3,6,5,10,9,8,7] => [2,1,4,3,6,5,10,9,8,7] => ([(0,5),(1,4),(2,3),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[9,10,7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,10,9] => ([(0,9),(1,8),(2,7),(3,6),(4,5)],10)
[10,9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => ([(8,9)],10)
[3,2,7,5,4,1,6,8] => [6,7,2,4,5,8,3,1] => [8,3,1,4,5,7,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,8,1,5,7] => [5,6,3,7,1,8,4,2] => [8,4,2,7,1,6,3,5] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,5,4,7,8,3] => [3,8,7,4,5,2,1,6] => [5,2,1,3,6,8,7,4] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,8,5,1,3,7,6] => [5,7,1,4,8,6,2,3] => [3,8,6,2,4,7,1,5] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,8,1,7,2,5] => [5,6,3,1,8,2,7,4] => [7,4,8,2,6,3,1,5] => ([(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,6,4,1,7,2,8] => [4,6,3,5,8,2,7,1] => [7,1,8,2,5,6,3,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,1,5,8,3,7,4] => [3,7,8,4,1,6,2,5] => [5,6,2,8,4,1,3,7] => ([(0,5),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,4,8,3,5,2] => [8,3,2,5,1,6,4,7] => [6,4,5,1,7,8,3,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,3,7,5,8,2] => [8,5,3,6,2,4,1,7] => [4,1,6,2,7,8,5,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,7,2,5,8,1,3] => [5,3,2,7,4,1,8,6] => [8,6,7,4,1,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,6,1,7,5,3,8] => [7,5,3,8,2,4,6,1] => [6,1,4,8,2,7,5,3] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,4,6,2,8,1,3] => [2,4,5,3,7,1,8,6] => [8,6,7,1,2,5,3,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,5,4,3,8,6,2] => [8,2,4,5,6,1,3,7] => [3,6,1,4,5,7,8,2] => ([(0,7),(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,3,5,8,7,2] => [8,5,3,6,4,1,2,7] => [2,6,4,1,7,8,5,3] => ([(0,4),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,3,2,7,1,4,8] => [4,3,6,7,2,8,5,1] => [8,5,1,7,2,4,3,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,3,2,7,1,8,4] => [4,3,6,7,2,8,1,5] => [5,8,1,7,2,4,3,6] => ([(0,5),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,5,6,3,2,7,1,4] => [1,4,3,6,7,2,8,5] => [1,8,5,7,2,4,3,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,6,2,8,1,7,3] => [4,5,3,7,1,8,2,6] => [6,8,2,7,1,5,3,4] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,5,4,1,6,3,8,7] => [7,4,5,8,3,6,1,2] => [2,6,1,8,3,5,7,4] => ([(0,3),(1,5),(1,6),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,2,1,6,4,7,8] => [6,4,7,8,3,5,2,1] => [5,2,1,8,3,6,4,7] => ([(0,7),(1,2),(1,6),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[6,8,4,3,2,1,5,7] => [3,1,5,6,7,8,4,2] => [8,4,2,3,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,2,1,6,4,7] => [4,6,1,7,8,3,5,2] => [5,2,8,3,6,1,4,7] => ([(0,7),(1,5),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,7,5,8,2,1,4,6] => [6,2,4,1,7,8,5,3] => [8,5,3,4,1,6,2,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,3,2,1,7,5] => [1,3,5,6,7,8,2,4] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,4,3,2,1,8,5] => [2,3,5,6,7,8,1,4] => [4,8,1,2,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,3,2,1,6,5] => [2,1,5,6,7,8,3,4] => [2,1,4,8,3,5,6,7] => ([(0,1),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[5,4,7,2,1,8,6,3] => [4,5,2,7,8,1,3,6] => [3,6,8,1,5,2,4,7] => ([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,3,2,1,6,8,4] => [4,2,6,7,8,3,1,5] => [5,8,3,1,4,2,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,2,5,1,8,4] => [3,6,2,7,4,8,1,5] => [5,8,1,7,4,6,2,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,5,7,8,4,1,3] => [3,7,4,2,1,5,8,6] => [5,8,6,7,4,2,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,2,8,1,4,5] => [6,3,2,7,1,8,5,4] => [8,5,4,7,1,6,3,2] => ([(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,2,8,1,4,5] => [3,6,2,7,1,8,5,4] => [8,5,4,7,1,6,2,3] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,2,1,8,4,6] => [2,6,4,7,8,1,5,3] => [5,3,8,1,2,6,4,7] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,7,8,3,6,5] => [7,5,8,2,1,6,3,4] => [4,6,3,8,2,1,7,5] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,3,2,1,5,6] => [5,1,2,6,7,8,4,3] => [2,8,4,3,5,1,6,7] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,8,6,1,4,5] => [2,6,7,1,3,8,5,4] => [3,8,5,4,7,1,2,6] => ([(0,4),(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,6,5,4,3,2,1,9] => [3,2,4,5,6,7,8,9,1] => [9,1,3,2,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,8,9,7,6,5,4,3,2] => [9,2,1,3,4,5,6,7,8] => [3,4,5,6,7,8,9,2,1] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,8,7,9,6,5,4,3,2] => [9,2,3,1,4,5,6,7,8] => [3,1,4,5,6,7,8,9,2] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,9,10,8,7,6,5,4,3,2] => [10,2,1,3,4,5,6,7,8,9] => [3,4,5,6,7,8,9,10,2,1] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,3,5,4,6,1,2] => [2,1,6,4,5,3,8,7] => [2,1,5,3,6,4,8,7] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8)
[5,7,1,6,2,8,4,3] => [4,2,8,3,7,1,5,6] => [5,6,7,1,8,3,4,2] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,5,1,8,6,4,2] => [2,6,4,8,1,3,5,7] => [3,5,7,8,1,2,6,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,3,5,4,8,1,6,2] => [2,6,4,5,1,8,3,7] => [7,8,3,5,1,2,6,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,6,2,5,3,4] => [2,1,8,3,7,4,6,5] => [2,1,6,5,7,4,8,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,7,2,5,3,4] => [8,1,3,2,7,4,6,5] => [3,2,6,5,7,4,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,5,6,3,4] => [8,1,7,2,4,3,6,5] => [4,3,6,5,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,2,6,3,5] => [8,1,5,2,7,3,6,4] => [6,4,7,3,5,2,8,1] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,5,6,2,3] => [8,1,5,2,4,3,7,6] => [4,3,5,2,7,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,5,6,1,2] => [6,1,5,2,4,3,8,7] => [4,3,5,2,6,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,8,6,2,3,4] => [2,4,8,1,3,7,6,5] => [3,7,6,5,8,1,2,4] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,4,5,2,6,3] => [2,8,1,5,4,7,3,6] => [6,7,3,5,4,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,6,2,5,1,4] => [2,6,1,3,7,4,8,5] => [3,8,5,7,4,6,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,7,8,2,6,3,4] => [8,4,2,1,7,3,6,5] => [6,5,7,3,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,2,4,7,1,6] => [4,6,1,7,5,2,8,3] => [8,3,7,5,2,6,1,4] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,8,1,2,7,6] => [4,5,6,1,8,7,2,3] => [3,8,7,2,6,1,4,5] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,8,1,3,7,5] => [3,5,7,1,8,6,2,4] => [4,8,6,2,7,1,3,5] => ([(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,4,2,6,3,7] => [4,1,8,5,7,3,6,2] => [6,2,7,3,4,1,8,5] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,7,1,8,6,2,4] => [6,4,2,8,1,3,7,5] => [3,7,5,8,1,6,4,2] => ([(0,4),(0,7),(1,2),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,6,2,8,1,5,7] => [6,5,3,7,1,8,4,2] => [8,4,2,7,1,6,5,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,5,4,3,8,6] => [7,2,8,4,5,6,1,3] => [3,6,1,5,8,4,7,2] => ([(0,1),(0,7),(1,5),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,4,3,5,1] => [3,2,1,7,5,6,4,8] => [3,2,1,6,4,7,5,8] => ([(1,7),(2,6),(3,4),(3,5),(4,5),(6,7)],8)
[8,3,6,2,4,7,5,1] => [1,6,3,7,5,2,4,8] => [1,4,7,5,2,6,3,8] => ([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,3,8,4,6,2,1] => [4,2,6,1,5,3,7,8] => [5,3,6,1,4,2,7,8] => ([(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,8,6,2,1] => [5,2,6,4,1,3,7,8] => [3,6,4,1,5,2,7,8] => ([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,6,4,8,7,5,1,2] => [6,3,5,1,2,4,8,7] => [2,4,5,1,6,3,8,7] => ([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,3,8,7,1,2] => [4,3,5,6,1,2,8,7] => [2,6,1,4,3,5,8,7] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,7,8,5,3] => [8,3,7,5,2,1,4,6] => [4,6,7,5,2,1,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,6,2,4,8,1,5,7] => [6,3,7,5,1,8,4,2] => [8,4,2,7,5,1,6,3] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,7,2,8,1,6,5] => [6,5,2,7,1,8,3,4] => [4,8,3,7,1,6,5,2] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,7,2,5,8,6,3] => [8,5,2,7,4,1,3,6] => [3,6,7,4,1,8,5,2] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,3,8,4,5,6,1,2] => [2,6,1,5,4,3,8,7] => [5,4,3,6,1,2,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,6,4,8,7,1,2] => [6,4,3,5,1,2,8,7] => [2,5,1,6,4,3,8,7] => ([(0,1),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,4,2,8,7,3] => [8,3,4,5,7,1,2,6] => [2,6,7,1,4,5,8,3] => ([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,5,2,7,3,6,4] => [8,1,4,7,2,6,3,5] => [5,6,3,7,2,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,1,4,2,6,5,3] => [2,1,8,5,7,3,4,6] => [2,1,4,6,7,3,8,5] => ([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,4,8,2,5,7] => [8,6,3,5,1,7,4,2] => [7,4,2,5,1,8,6,3] => ([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,3,4,2,8,7] => [3,4,8,6,5,7,1,2] => [2,7,1,3,4,8,6,5] => ([(0,7),(1,7),(2,3),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,3,6,1,4,2,7] => [4,1,6,3,8,5,7,2] => [7,2,8,5,6,3,4,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,6,4,1,3,7] => [7,4,1,3,5,8,6,2] => [8,6,2,3,5,7,4,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,2,5,8,3,7] => [8,5,3,7,4,1,6,2] => [6,2,7,4,1,8,5,3] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,5,8,1,7,4] => [6,3,7,4,1,8,2,5] => [5,8,2,7,4,1,6,3] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,8,7,4,2,3,5] => [8,3,1,2,5,7,6,4] => [2,7,6,4,5,8,3,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,2,4,3,5] => [3,8,2,1,7,5,6,4] => [6,4,7,5,8,2,1,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,2,1,4,5,6,8,3] => [2,7,8,5,4,3,1,6] => [6,8,5,4,3,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,8,5,7,2,4] => [8,3,6,1,4,2,7,5] => [4,2,7,5,6,1,8,3] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,8,1,4,2,3] => [2,3,4,1,8,5,7,6] => [4,1,2,3,7,6,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[5,8,6,7,3,2,1,4] => [4,1,3,2,6,7,8,5] => [3,2,4,1,8,5,6,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[2,6,3,4,8,7,1,5] => [7,3,6,5,1,2,8,4] => [2,8,4,6,5,1,7,3] => ([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,3,4,5,2,8,6] => [2,8,6,5,4,7,1,3] => [3,7,1,2,8,6,5,4] => ([(0,1),(0,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,3,8,2,7,5] => [5,8,3,6,1,7,2,4] => [4,7,2,6,1,8,3,5] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,4,6,3,1,5] => [2,1,7,5,3,6,8,4] => [2,1,8,4,6,7,5,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,7,4,3,1,6] => [7,1,4,2,5,6,8,3] => [8,3,4,2,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,7,1,2,6,4] => [4,6,1,2,8,7,3,5] => [2,5,8,7,3,6,1,4] => ([(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,4,1,2,3,6] => [2,4,1,5,8,7,6,3] => [8,7,6,3,4,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,1,3,2,6] => [4,1,2,5,8,6,7,3] => [2,7,3,4,1,5,8,6] => ([(0,7),(1,6),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,8,4,1,2,6] => [6,4,2,1,5,8,7,3] => [8,7,3,5,6,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,4,3,1,2,7] => [3,1,4,5,6,8,7,2] => [8,7,2,3,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,1,2,4,3] => [2,3,4,1,8,7,5,6] => [4,1,2,3,6,8,7,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[4,3,1,2,6,7,8,5] => [5,6,8,7,3,2,1,4] => [4,8,7,3,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,6,3,7,2,4] => [4,1,8,3,6,2,7,5] => [7,5,6,2,8,3,4,1] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,6,5,7,2,4] => [8,1,6,3,4,2,7,5] => [4,2,7,5,6,3,8,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,1,6,2,3] => [2,1,4,5,8,3,7,6] => [2,1,7,6,8,3,4,5] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,3,6,8,1,2] => [4,5,2,6,3,1,8,7] => [6,3,1,5,2,4,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,7,8,5,6,1,2] => [6,5,2,1,4,3,8,7] => [4,3,6,5,2,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,2,5,8,3,6] => [8,5,2,7,4,1,6,3] => [6,3,7,4,1,8,5,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,2,4,7,1,5,8] => [6,3,7,5,2,8,4,1] => [8,4,1,7,5,2,6,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,4,5,7,1,2] => [3,1,6,5,4,2,8,7] => [6,5,4,2,3,1,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,7,5,8,1,2] => [5,6,3,2,4,1,8,7] => [4,1,6,3,2,5,8,7] => ([(0,1),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,5,8,4,1,2] => [3,6,2,4,1,5,8,7] => [4,1,5,6,2,3,8,7] => ([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,6,4,5,1,2] => [2,6,1,3,5,4,8,7] => [3,5,4,6,1,2,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,6,5,8,3,4] => [8,7,2,3,4,1,6,5] => [4,1,3,6,5,8,7,2] => ([(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,6,1,5,3,7] => [5,1,7,3,8,4,6,2] => [6,2,8,4,7,3,5,1] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,6,4,1,5,7] => [7,6,1,3,5,8,4,2] => [8,4,2,3,5,7,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,5,1,8,7] => [5,6,3,7,4,8,1,2] => [2,8,1,7,4,6,3,5] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,2,5,1,4,6] => [2,1,6,7,4,8,5,3] => [2,1,8,5,3,7,4,6] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,1,2,5,6,3,4] => [2,1,8,7,4,3,6,5] => [2,1,6,5,8,7,4,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,2,5,7,3,8] => [5,8,3,7,4,2,6,1] => [6,1,7,4,2,8,3,5] => ([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,8,6,4,7,3,5] => [7,8,1,3,5,2,6,4] => [6,4,5,2,3,8,1,7] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,6,7,4,5,2] => [8,1,6,3,2,5,4,7] => [5,4,6,3,2,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,8,3,6,2,4] => [2,8,4,1,6,3,7,5] => [7,5,6,3,8,4,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,7,1,4,2,3,8] => [3,4,2,8,5,7,6,1] => [7,6,1,4,2,3,8,5] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,1,3,4,2,7] => [3,1,4,8,6,5,7,2] => [7,2,3,1,4,8,6,5] => ([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,3,1,5,7,8] => [3,7,5,6,8,4,2,1] => [8,4,2,1,3,6,7,5] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,3,1,7,5,6] => [5,7,1,6,8,2,4,3] => [4,3,8,2,6,7,1,5] => ([(0,1),(0,2),(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,4,1,6,2,8] => [4,6,2,5,8,3,7,1] => [7,1,8,3,5,6,2,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,4,7,3,6,1,8,5] => [7,5,2,6,3,8,1,4] => [4,8,1,6,3,7,5,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,3,1,2,4] => [4,1,2,3,6,8,7,5] => [2,3,4,1,8,7,5,6] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[7,5,6,8,1,4,3,2] => [2,4,3,1,8,5,6,7] => [4,3,1,2,6,7,8,5] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,2,7,8,5,4,3,6] => [8,7,2,1,4,5,6,3] => [6,3,4,5,8,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,3,6,5,8,7] => [5,7,8,6,3,4,1,2] => [2,4,1,8,6,3,5,7] => ([(0,4),(1,7),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[7,2,1,5,4,6,3,8] => [2,7,8,4,5,3,6,1] => [6,1,2,5,3,8,4,7] => ([(0,7),(1,7),(2,3),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,1,8,5,3,7] => [5,7,3,8,1,4,6,2] => [6,2,4,8,1,7,3,5] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(5,7),(6,7)],8)
[7,8,2,1,4,5,3,6] => [2,1,7,8,5,4,6,3] => [2,1,6,3,8,5,4,7] => ([(0,1),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,1,5,3,6,2] => [2,1,5,8,4,6,3,7] => [2,1,6,3,7,8,4,5] => ([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,6,1,5,8,7,2] => [6,5,3,8,4,1,2,7] => [2,7,8,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,5,1,8,2,7,4,3] => [3,4,8,1,7,2,5,6] => [5,6,7,2,8,1,3,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,8,1,7,5,2,3,4] => [3,1,8,2,4,7,6,5] => [4,7,6,5,8,2,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,1,5,7,4,2,8] => [6,3,8,4,2,5,7,1] => [7,1,5,8,4,2,6,3] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,6,1,7,4,8,3] => [7,4,3,8,2,5,1,6] => [5,1,6,8,2,7,4,3] => ([(0,5),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,5,4,2,3] => [2,8,1,3,4,5,7,6] => [3,4,5,7,6,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,4,7,5,8,2,3] => [8,3,5,2,4,1,7,6] => [4,1,5,2,7,6,8,3] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,7,1,8,4,5,3,6] => [7,2,8,1,5,4,6,3] => [6,3,5,4,8,1,7,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,2,1,8,5,3,6] => [2,5,7,8,1,4,6,3] => [6,3,4,8,1,2,5,7] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,8,5,6,7,2,1] => [6,5,1,4,3,2,7,8] => [4,3,2,6,5,1,7,8] => ([(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,4,3,2,1] => [4,1,3,2,5,6,7,8] => [3,2,4,1,5,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,5,6,3,2,1] => [5,1,2,4,3,6,7,8] => [2,4,3,5,1,6,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,8,3,5,7] => [5,7,8,3,1,6,4,2] => [6,4,2,8,3,1,5,7] => ([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,1,3,8,6,5,7] => [5,7,8,6,1,3,4,2] => [4,2,3,8,6,1,5,7] => ([(0,6),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,6,5,8,1] => [5,6,2,7,3,4,1,8] => [4,1,7,3,6,2,5,8] => ([(1,5),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,6,5,8,1,3,2] => [2,5,3,4,1,8,6,7] => [4,1,2,5,3,7,8,6] => ([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8)
[8,1,6,3,4,2,7,5] => [1,8,3,6,5,7,2,4] => [1,4,7,2,6,5,8,3] => ([(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,2,6,1,7,4] => [1,6,4,7,3,8,2,5] => [1,5,8,2,7,3,6,4] => ([(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,8,1,5,4,7,6] => [6,7,1,8,4,5,2,3] => [3,5,2,8,4,7,1,6] => ([(0,4),(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,1,5,4,6,3] => [2,7,1,8,4,5,3,6] => [5,3,6,8,4,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,8,2,6,1,7,3] => [4,5,1,7,3,8,2,6] => [6,8,2,7,3,5,1,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,6,5,8,3,7,4] => [7,8,3,4,1,6,2,5] => [5,6,2,4,1,8,3,7] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,1,3,6,2,4,5] => [1,2,8,6,3,7,5,4] => [1,2,7,5,4,8,6,3] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,5,3,4,2] => [1,2,3,8,4,6,5,7] => [1,2,3,6,5,7,8,4] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,5,6,4,3,2] => [1,8,2,4,3,5,6,7] => [1,4,3,5,6,7,8,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,1,2,8,7] => [5,4,6,3,8,7,1,2] => [2,8,7,1,6,3,5,4] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,7,3,6,2,5] => [1,8,5,2,6,3,7,4] => [1,7,4,6,3,8,5,2] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,1,8,4,2] => [3,4,6,2,8,1,5,7] => [5,7,8,1,6,2,3,4] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7)],8)
[2,1,6,7,5,8,3,4] => [7,8,3,2,4,1,6,5] => [4,1,6,5,8,3,2,7] => ([(0,5),(1,4),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,1,6,5,8,3] => [7,5,2,8,3,4,1,6] => [4,1,6,8,3,7,5,2] => ([(0,3),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,2,6,5,1,3] => [5,1,2,7,3,4,8,6] => [2,4,8,6,7,3,5,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,3,4,2,1] => [4,1,2,3,6,5,7,8] => [2,3,4,1,6,5,7,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[5,8,7,6,3,1,4,2] => [4,1,2,3,6,8,5,7] => [2,3,4,1,7,8,5,6] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[5,8,7,6,3,2,4,1] => [4,1,2,3,6,7,5,8] => [2,3,4,1,7,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[5,8,7,6,2,4,3,1] => [4,1,2,3,7,5,6,8] => [2,3,4,1,6,7,5,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[5,8,7,6,2,1,4,3] => [4,1,2,3,7,8,5,6] => [2,3,4,1,6,8,5,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[5,8,7,6,4,2,3,1] => [4,1,2,3,5,7,6,8] => [2,3,4,1,5,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[5,8,7,6,4,2,1,3] => [4,1,2,3,5,7,8,6] => [2,3,4,1,5,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[5,8,7,6,4,1,3,2] => [4,1,2,3,5,8,6,7] => [2,3,4,1,5,7,8,6] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[5,8,7,6,4,3,1,2] => [4,1,2,3,5,6,8,7] => [2,3,4,1,5,6,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[7,3,5,2,6,1,4,8] => [2,6,4,7,3,8,5,1] => [8,5,1,2,7,3,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,5,2,6,4,1,8] => [2,6,4,7,3,5,8,1] => [8,1,2,5,7,3,6,4] => ([(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,7,3,2,8,6] => [8,5,4,2,6,7,1,3] => [3,7,1,6,8,5,4,2] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,7,3,8,2,5] => [8,5,3,2,6,1,7,4] => [7,4,6,1,8,5,3,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,7,3,1,8,2] => [3,5,4,2,6,8,1,7] => [7,8,1,5,4,2,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,1,7,4,8,2] => [3,6,4,8,2,5,1,7] => [5,1,7,8,2,3,6,4] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,2,1,5,7,4,8,3] => [3,7,8,4,2,5,1,6] => [5,1,6,8,4,2,3,7] => ([(0,6),(1,5),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,6,7,3,8,1,5] => [7,5,3,2,6,1,8,4] => [8,4,6,1,7,5,3,2] => ([(0,2),(0,4),(0,7),(1,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,7,3,8,5,2] => [8,5,3,2,6,1,4,7] => [4,6,1,7,8,5,3,2] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,7,8,3,4,2] => [8,4,3,2,1,6,5,7] => [6,5,7,8,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,7,8,3,1,4] => [7,4,3,2,1,6,8,5] => [8,5,6,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,7,8,4,5] => [6,7,8,3,2,1,5,4] => [5,4,8,3,2,1,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,6,7,8,4,3] => [4,7,8,3,2,1,5,6] => [5,6,8,3,2,1,4,7] => ([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,1,7,8,4,2] => [4,6,3,8,2,1,5,7] => [5,7,8,2,1,6,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,6,7,1,8,3,2] => [4,5,3,2,8,1,6,7] => [6,7,8,1,5,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,6,7,8,3,2,4] => [8,4,3,2,1,6,7,5] => [7,5,6,8,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,2,7,8,1,4] => [4,6,3,7,2,1,8,5] => [8,5,7,2,1,6,3,4] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,4,2,1,7,8,5] => [3,6,5,7,8,2,1,4] => [4,8,2,1,3,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,4,1,2,7,8,6] => [4,6,5,8,7,2,1,3] => [3,8,7,2,1,4,6,5] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,7,8,1,5] => [5,6,3,7,2,1,8,4] => [8,4,7,2,1,6,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,2,7,8,5,4] => [8,6,3,7,2,1,4,5] => [4,5,7,2,1,8,6,3] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,4,6,7,2,8,5,3] => [8,5,3,2,7,1,4,6] => [4,6,7,1,8,5,3,2] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,2,8,5,1] => [6,5,3,2,7,1,4,8] => [4,7,1,6,5,3,2,8] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,7,2,1,8,6] => [6,5,4,2,7,8,1,3] => [3,8,1,6,5,4,2,7] => ([(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,5,7,3,8,6] => [5,7,8,4,2,6,1,3] => [3,6,1,8,4,2,5,7] => ([(0,7),(1,2),(1,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,6,1,7,8,2,5] => [5,6,3,8,2,1,7,4] => [7,4,8,2,1,6,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,7,8,2,4,3] => [8,4,3,2,1,7,5,6] => [6,7,5,8,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,7,8,4,2,3] => [8,4,3,2,1,5,7,6] => [5,7,6,8,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,7,8,5,3] => [5,7,8,3,2,1,4,6] => [4,6,8,3,2,1,5,7] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,1,7,8,5,4] => [7,6,3,8,2,1,4,5] => [4,5,8,2,1,7,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,5,6,7,8,1,4,3] => [7,4,3,2,1,8,5,6] => [6,8,5,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,5,4,7,6,9,8] => [9,7,8,5,6,3,4,1,2] => [2,4,1,6,3,8,5,9,7] => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,4,3,7,6,8,2,5] => [8,5,6,2,3,1,7,4] => [3,1,7,4,6,2,8,5] => ([(0,4),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,3,7,5,8,2,6] => [8,5,6,2,4,1,7,3] => [7,3,4,1,6,2,8,5] => ([(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,3,7,2,6,5,8] => [8,5,6,2,7,3,4,1] => [4,1,7,3,6,2,8,5] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[1,5,3,7,4,8,2,6] => [8,4,6,2,5,1,7,3] => [7,3,5,1,6,2,8,4] => ([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,6,5,8,4,7] => [8,6,7,3,4,1,5,2] => [5,2,4,1,7,3,8,6] => ([(0,3),(1,3),(1,4),(2,5),(2,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,8,2,6,3,7] => [8,4,5,1,7,3,6,2] => [6,2,7,3,5,1,8,4] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,4,8,3,7,2,6] => [8,4,5,1,6,2,7,3] => [7,3,6,2,5,1,8,4] => ([(0,4),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,4,5,2,6,1] => [6,2,1,5,4,7,3,8] => [7,3,5,4,6,2,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,4,1,6,5,2] => [6,1,2,5,8,3,4,7] => [2,4,7,8,3,5,6,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,1,3,5,4,7] => [3,7,1,8,6,4,5,2] => [5,2,8,6,4,7,1,3] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,1,3,8,4,7,6] => [7,4,8,6,1,5,2,3] => [3,5,2,8,6,1,7,4] => ([(0,4),(0,7),(1,5),(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[5,2,3,8,4,7,1,6] => [4,7,6,1,5,2,8,3] => [8,3,5,2,7,6,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,2,8,7,4,3] => [4,8,3,7,1,2,5,6] => [2,5,6,7,1,8,3,4] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,4,8,7,1,2,6,5] => [6,5,1,2,8,7,3,4] => [2,4,8,7,3,6,5,1] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,5,4,6,1,3] => [2,1,7,4,5,3,8,6] => [2,1,5,3,8,6,7,4] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,5,4,7,3,8] => [3,7,8,4,5,2,6,1] => [6,1,5,2,3,8,4,7] => ([(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,7,1,4,8,3,5,6] => [7,2,8,5,1,6,4,3] => [6,4,3,8,5,1,7,2] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,7,1,2,5,3,8,6] => [5,2,8,7,4,6,1,3] => [3,6,1,8,7,4,5,2] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,8,3,5,1,2] => [5,2,3,1,6,4,8,7] => [3,1,6,4,5,2,8,7] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,3,2,1,8,6] => [2,4,5,6,7,8,1,3] => [3,8,1,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,5,3,6,4,2] => [2,8,1,4,6,3,5,7] => [5,6,3,4,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,1,6,8,2,3,7] => [4,5,8,3,1,7,6,2] => [7,6,2,8,3,1,4,5] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,2,1,7,5,3] => [3,5,1,7,8,2,4,6] => [4,6,8,2,5,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,6,5,4,1,3] => [7,1,2,3,4,5,8,6] => [2,3,4,5,8,6,7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,4,5,6,7,8,9] => [7,8,9,6,5,4,3,2,1] => [9,6,5,4,3,2,1,7,8] => ([(0,8),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,9,4,7,2,5,1,3] => [2,4,1,6,3,8,5,9,7] => [9,7,8,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[3,7,5,8,2,4,1,6] => [6,2,4,1,7,5,8,3] => [8,3,4,1,7,5,6,2] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,7,2,4,1,6] => [6,1,4,2,7,5,8,3] => [8,3,4,2,7,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,8,6,5,4] => [2,8,7,6,1,3,4,5] => [3,4,5,8,7,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,4,3,7,2,5] => [3,1,8,5,6,2,7,4] => [7,4,6,2,3,1,8,5] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,2,4,1,6,5] => [2,1,6,7,5,8,3,4] => [2,1,4,8,3,7,5,6] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,8,5,6,4] => [2,8,7,6,1,4,3,5] => [4,3,5,8,7,6,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,3,7,1,4,2,6] => [4,1,6,2,8,5,7,3] => [7,3,8,5,6,2,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,8,7,4,6,1] => [7,4,6,1,2,5,3,8] => [2,5,3,6,1,7,4,8] => ([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,8,4,1,7,6,3] => [7,4,1,5,8,2,3,6] => [3,6,8,2,5,7,4,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,6,5,3,1] => [5,7,1,2,3,4,6,8] => [2,3,4,6,7,1,5,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,3,1,7,6,2] => [5,4,1,6,8,2,3,7] => [3,7,8,2,5,4,1,6] => ([(0,4),(0,7),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,7,5,8,6,4,3] => [8,7,2,4,1,3,5,6] => [3,4,1,5,6,8,7,2] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[7,1,4,8,2,6,5,3] => [2,8,5,1,7,3,4,6] => [4,6,7,3,8,5,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,8,1,2,6,5,4] => [6,2,1,8,7,3,4,5] => [4,5,8,7,3,6,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,8,2,6,5,4] => [8,6,2,1,7,3,4,5] => [4,5,7,3,8,6,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,6,7,5,3,4] => [1,8,7,3,2,4,6,5] => [1,4,6,5,8,7,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,7,1,3,6,4] => [1,7,4,2,8,6,3,5] => [1,5,8,6,3,7,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,4,1,7,5,2] => [3,1,6,5,8,2,4,7] => [4,7,8,2,3,1,6,5] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,3,7,4,1,5,2] => [3,1,6,2,5,8,4,7] => [7,8,4,5,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,8,3,7,5,1,4] => [7,3,1,6,2,4,8,5] => [4,8,5,6,2,7,3,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,6,7,5,3,4] => [7,1,8,3,2,4,6,5] => [4,6,5,8,3,2,7,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,7,1,6,3,4] => [1,7,4,2,8,3,6,5] => [1,6,5,8,3,7,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,3,6,1,5] => [1,5,2,7,6,3,8,4] => [1,8,4,7,6,3,5,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,2,6,1,3] => [1,4,2,5,7,3,8,6] => [1,8,6,7,3,4,2,5] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,5,7,4,1,6,2] => [1,6,4,2,5,8,3,7] => [1,7,8,3,5,6,4,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,2,4,7,1,6,3] => [1,4,7,5,2,8,3,6] => [1,6,8,3,7,5,2,4] => ([(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,5,7,1,6,4] => [1,7,6,4,2,8,3,5] => [1,5,8,3,7,6,4,2] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,4,6,3,5] => [1,7,2,8,5,3,6,4] => [1,6,4,8,5,3,7,2] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,2,4,6,3,5] => [1,2,8,7,5,3,6,4] => [1,2,6,4,8,7,5,3] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,4,6,2,3,5] => [1,2,8,5,3,7,6,4] => [1,2,7,6,4,8,5,3] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,3,6,2,5] => [1,5,2,8,6,3,7,4] => [1,7,4,8,6,3,5,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,3,7,2,5,4] => [8,3,1,6,2,7,4,5] => [5,7,4,6,2,8,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,7,1,3,6,2,4] => [4,1,2,8,6,3,7,5] => [2,7,5,8,6,3,4,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,1,4,7,2,6,3] => [1,4,8,5,2,7,3,6] => [1,6,7,3,8,5,2,4] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,8,2,7,5,3] => [8,5,3,1,7,2,4,6] => [4,6,7,2,8,5,3,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,8,2,7,4,3] => [8,3,4,1,7,2,5,6] => [5,6,7,2,4,1,8,3] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,5,6,3,1,7,4,2] => [1,4,3,6,8,2,5,7] => [1,5,7,8,2,4,3,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,3,6,1,2,4] => [4,1,2,6,3,8,7,5] => [2,8,7,5,6,3,4,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,7,1,6,2,4] => [1,6,4,2,8,3,7,5] => [1,7,5,8,3,6,4,2] => ([(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,3,7,5,2,4] => [8,3,1,6,2,4,7,5] => [4,7,5,6,2,8,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,8,2,7,5,1,4] => [3,6,1,7,2,4,8,5] => [4,8,5,7,2,6,1,3] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,8,4,2,7,1,5,3] => [3,1,5,7,2,8,4,6] => [6,8,4,7,2,3,1,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,6,4,7,3,1,5,2] => [1,3,5,2,6,8,4,7] => [1,7,8,4,5,2,3,6] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,5,7,3,1,6,2] => [1,5,4,2,6,8,3,7] => [1,7,8,3,5,4,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,4,7,2,6,1,5] => [1,6,5,2,7,3,8,4] => [1,8,4,7,3,6,5,2] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,3,4,6,2,5] => [1,2,8,6,5,3,7,4] => [1,2,7,4,8,6,5,3] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,4,5,1,6,2] => [1,2,6,5,4,8,3,7] => [1,2,7,8,3,6,5,4] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,5,2,6,1,3] => [1,2,5,4,7,3,8,6] => [1,2,8,6,7,3,5,4] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,7,2,3,6,1,4] => [4,1,2,7,6,3,8,5] => [2,8,5,7,6,3,4,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,3,4,6,1,5] => [1,2,7,6,5,3,8,4] => [1,2,8,4,7,6,5,3] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,3,6,1,4,5] => [1,2,7,6,3,8,5,4] => [1,2,8,5,4,7,6,3] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,2,7,8,1,5] => [6,3,5,7,2,1,8,4] => [8,4,7,2,1,5,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,1,7,2,8,3] => [3,4,5,8,2,7,1,6] => [6,7,1,8,2,3,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,3,2,8,6,7,4,5] => [8,6,7,1,3,2,5,4] => [3,2,5,4,7,1,8,6] => ([(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[7,2,1,8,6,5,4,3] => [2,7,8,1,3,4,5,6] => [3,4,5,6,8,1,2,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,7,6,5,4,3,2] => [1,8,2,3,4,5,6,7] => [1,3,4,5,6,7,8,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,1,2,5,4,3,6] => [1,2,8,7,4,5,6,3] => [1,2,6,3,5,8,7,4] => ([(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,3,1,4,2] => [2,1,4,3,6,8,5,7] => [2,1,4,3,7,8,5,6] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,3,6,1,2,4] => [2,1,4,6,3,8,7,5] => [2,1,8,7,5,6,3,4] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,3,1,4,2,6] => [2,1,4,6,8,5,7,3] => [2,1,7,3,4,8,5,6] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,3,1,6,2,4] => [2,1,4,6,8,3,7,5] => [2,1,7,5,8,3,4,6] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,3,1,6,4,2] => [2,1,4,6,8,3,5,7] => [2,1,5,7,8,3,4,6] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,3,6,1,4,2] => [2,1,4,6,3,8,5,7] => [2,1,7,8,5,6,3,4] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,3,6,4,1,2] => [2,1,4,6,3,5,8,7] => [2,1,5,6,3,4,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,3,4,1,6,2] => [2,1,4,6,5,8,3,7] => [2,1,7,8,3,4,6,5] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,3,1,4,6,2] => [2,1,4,6,8,5,3,7] => [2,1,7,8,5,3,4,6] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,3,4,6,1,2] => [2,4,1,6,5,3,8,7] => [6,5,3,4,1,2,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,3,4,1,8,2] => [2,4,3,6,5,8,1,7] => [7,8,1,2,4,3,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,6,3,1,4,8,2] => [2,4,3,6,8,5,1,7] => [7,8,5,1,2,4,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,1,6,4,8,2] => [2,4,6,8,3,5,1,7] => [5,1,2,7,8,3,4,6] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,3,6,1,4,8,2] => [2,4,6,3,8,5,1,7] => [7,8,5,1,2,6,3,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,3,6,4,1,8,2] => [2,4,6,3,5,8,1,7] => [7,8,1,2,5,6,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,8,4,6,1,2] => [2,4,6,1,5,3,8,7] => [5,3,6,1,2,4,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,1,8,4,2,6] => [2,4,6,8,1,5,7,3] => [7,3,5,8,1,2,4,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,1,8,6,2,4] => [2,4,6,8,1,3,7,5] => [3,7,5,8,1,2,4,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,8,6,4,1,2] => [2,4,6,1,3,5,8,7] => [3,5,6,1,2,4,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,3,6,4,1,2] => [2,4,1,6,3,5,8,7] => [5,6,3,4,1,2,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,3,6,1,4,2] => [2,4,1,6,3,8,5,7] => [7,8,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,3,1,6,4,2] => [2,4,1,6,8,3,5,7] => [5,7,8,3,4,1,2,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,6,1,4,2,8] => [2,4,6,3,8,5,7,1] => [7,1,2,8,5,6,3,4] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,8,6,3,1,2,4] => [2,4,1,3,6,8,7,5] => [3,4,1,2,8,7,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,6,3,1,4,2] => [2,4,1,3,6,8,5,7] => [3,4,1,2,7,8,5,6] => ([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7)],8)
[7,5,8,6,3,4,1,2] => [2,4,1,3,6,5,8,7] => [3,4,1,2,6,5,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,6,8,3,1,4,2] => [2,4,3,1,6,8,5,7] => [4,3,1,2,7,8,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,3,8,1,2,4] => [2,4,3,6,1,8,7,5] => [8,7,5,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,3,1,8,4,2] => [2,4,3,6,8,1,5,7] => [5,7,8,1,2,4,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,6,3,8,1,4,2] => [2,4,3,6,1,8,5,7] => [7,8,5,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,6,3,8,4,1,2] => [2,4,3,6,1,5,8,7] => [5,6,1,2,4,3,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,6,8,4,1,2] => [2,4,6,3,1,5,8,7] => [5,6,3,1,2,4,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,6,1,8,4,2] => [2,4,6,3,8,1,5,7] => [5,7,8,1,2,6,3,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,3,1,6,8,4,2] => [2,4,6,8,3,1,5,7] => [5,7,8,3,1,2,4,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[7,5,3,1,6,8,2,4] => [2,4,6,8,3,1,7,5] => [7,5,8,3,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[8,5,7,6,4,3,2,1] => [1,4,2,3,5,6,7,8] => [1,3,4,2,5,6,7,8] => ([(5,7),(6,7)],8)
[6,8,5,7,4,3,2,1] => [3,1,4,2,5,6,7,8] => [4,2,3,1,5,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,4,5,6,7,8,9] => [8,7,9,6,5,4,3,2,1] => [9,6,5,4,3,2,1,8,7] => ([(0,1),(0,8),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,1,6,7,8,9] => [8,7,6,5,9,4,3,2,1] => [9,4,3,2,1,8,7,6,5] => ([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,8),(2,3),(2,4),(2,8),(3,4),(3,8),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,1,4,5,6,7,8,9,10] => [9,8,10,7,6,5,4,3,2,1] => [10,7,6,5,4,3,2,1,9,8] => ([(0,1),(0,9),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[2,3,4,5,6,7,9,8,1] => [8,7,6,5,4,3,1,2,9] => [2,8,7,6,5,4,3,1,9] => ([(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,3,5,1,2,7,6,4] => [1,6,4,8,7,2,3,5] => [1,3,5,8,7,2,6,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,3,6,2,7,5,4] => [8,1,6,3,7,2,4,5] => [4,5,7,2,6,3,8,1] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,1,6,5,3,7] => [1,7,5,8,3,4,6,2] => [1,6,2,4,8,3,7,5] => ([(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,3,7,5,4,1,2] => [3,1,6,2,4,5,8,7] => [4,5,6,2,3,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,7,6,5,2,4,3] => [8,1,2,3,4,7,5,6] => [2,3,4,6,7,5,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,6,8,7,2,5] => [6,8,5,3,1,2,7,4] => [2,7,4,8,5,3,1,6] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,8,5,1,2,4] => [2,6,3,1,4,8,7,5] => [4,8,7,5,6,3,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,7,4,8,6,3,5] => [8,7,2,5,1,3,6,4] => [3,6,4,5,1,8,7,2] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,5,8,3,4,6,2] => [2,8,4,1,6,5,3,7] => [6,5,3,7,8,4,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,4,2,3,5,8] => [2,8,3,5,7,6,4,1] => [7,6,4,1,2,5,8,3] => ([(0,5),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,4,7,3,5,1] => [1,3,7,5,2,6,4,8] => [1,6,4,7,5,2,3,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,4,5,2,3,8] => [2,8,3,5,4,7,6,1] => [7,6,1,2,5,4,8,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,5,6,8,2,3] => [2,8,5,4,3,1,7,6] => [7,6,8,5,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,6,5,8,3,2] => [2,8,5,3,4,1,6,7] => [4,1,2,6,7,8,5,3] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,2,3,8,5,4,6] => [2,8,7,6,1,4,5,3] => [5,3,4,8,7,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,6,4,3,8,2] => [2,8,4,3,5,6,1,7] => [6,1,2,5,7,8,4,3] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,4,3,2,8] => [2,8,3,4,5,6,7,1] => [7,1,2,4,5,6,8,3] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,4,7,8,6,3] => [7,4,8,5,2,1,3,6] => [3,6,8,5,2,1,7,4] => ([(0,6),(0,7),(1,3),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,4,8,6,2,7] => [6,4,8,5,1,3,7,2] => [7,2,3,8,5,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,6,2,4,7,8,1,5] => [6,3,7,5,2,1,8,4] => [8,4,7,5,2,1,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,4,8,7,1,3] => [4,3,7,5,1,2,8,6] => [2,8,6,7,5,1,4,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,2,4,7,1,5] => [3,6,1,7,5,2,8,4] => [8,4,7,5,2,6,1,3] => ([(0,3),(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,2,3,1,4] => [3,4,1,2,7,6,8,5] => [2,4,1,3,8,5,7,6] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[4,3,8,1,2,7,5,6] => [5,6,1,8,7,2,4,3] => [4,3,8,7,2,6,1,5] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,1,7,2,5,8] => [6,3,5,8,2,7,4,1] => [7,4,1,8,2,5,6,3] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,8,3,1,5,6,4,7] => [7,1,6,8,4,3,5,2] => [5,2,8,4,3,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,7,5,6,8,2] => [6,5,8,2,4,3,1,7] => [4,3,1,7,8,2,6,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,5,7,6,2,8] => [6,5,8,4,2,3,7,1] => [7,1,3,8,4,2,6,5] => ([(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,8,1,2,3,6,5] => [5,2,1,8,7,6,3,4] => [4,8,7,6,3,5,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,1,5,3,7,4] => [7,1,3,8,4,6,2,5] => [5,6,2,3,8,4,7,1] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,3,8,2,4] => [2,3,4,8,6,1,7,5] => [7,5,8,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[7,6,5,1,3,4,8,2] => [2,3,4,8,6,5,1,7] => [7,8,6,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,3,7,2,6,1] => [1,5,4,6,2,7,3,8] => [1,7,3,6,2,5,4,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,3,1,5,7,8] => [7,3,5,6,8,4,2,1] => [8,4,2,1,5,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,4,1,5,2,6] => [2,6,1,5,8,4,7,3] => [7,3,8,4,5,6,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,8,3,6,1,5,7] => [5,7,1,6,3,8,4,2] => [8,4,2,6,3,7,1,5] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,2,7,1,3,6] => [5,1,4,7,2,8,6,3] => [8,6,3,7,2,4,5,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,4,2,8,1,7] => [6,3,4,5,7,1,8,2] => [8,2,7,1,4,5,6,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,8,2,5,3,7] => [8,3,5,1,7,4,6,2] => [6,2,7,4,5,1,8,3] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,6,5,8,2,4,3,7] => [8,3,4,1,7,5,6,2] => [6,2,4,1,7,5,8,3] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,7,8,3,2,4,6] => [8,4,2,1,6,7,5,3] => [7,5,3,6,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,3,8,7,5] => [8,3,7,5,6,1,2,4] => [2,4,6,1,7,5,8,3] => ([(0,6),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,7,5,6,2,8,3,4] => [8,2,4,3,7,1,6,5] => [6,5,7,1,4,3,8,2] => ([(0,7),(1,2),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,3,2,4,7,6] => [8,4,1,6,7,5,2,3] => [3,7,5,2,6,8,4,1] => ([(0,5),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,6,2,8,3,5] => [8,2,5,3,7,1,6,4] => [6,4,7,1,5,3,8,2] => ([(0,7),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,5,2,8,4,6] => [8,2,6,4,7,1,5,3] => [5,3,7,1,6,4,8,2] => ([(0,7),(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,4,2,8,5,6] => [8,2,6,5,7,1,4,3] => [4,3,7,1,6,5,8,2] => ([(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,4,2,3,8,5] => [8,3,2,5,7,6,1,4] => [4,7,6,1,5,8,3,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,7,3,2,1,4] => [3,1,4,2,6,7,8,5] => [4,2,3,1,8,5,6,7] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,7,6,8,3,2,1,4] => [4,2,3,1,6,7,8,5] => [3,1,4,2,8,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[7,5,8,6,3,2,1,4] => [2,4,1,3,6,7,8,5] => [3,4,1,2,8,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[6,5,8,7,3,2,1,4] => [3,4,1,2,6,7,8,5] => [2,4,1,3,8,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[8,5,7,6,3,2,1,4] => [1,4,2,3,6,7,8,5] => [1,3,4,2,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,8,7,5,3,2,1,4] => [3,1,2,4,6,7,8,5] => [2,3,1,4,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[5,7,6,8,3,4,1,2] => [4,2,3,1,6,5,8,7] => [3,1,4,2,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8)
[3,7,6,8,4,5,1,2] => [6,2,3,1,5,4,8,7] => [3,1,5,4,6,2,8,7] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,7,6,8,2,3] => [8,4,5,2,3,1,7,6] => [3,1,5,2,7,6,8,4] => ([(0,6),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8)
[1,7,4,6,5,8,2,3] => [8,2,5,3,4,1,7,6] => [4,1,5,3,7,6,8,2] => ([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,6,5,8,1,2] => [6,2,5,3,4,1,8,7] => [4,1,5,3,6,2,8,7] => ([(0,1),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,8,6,7,1,2] => [6,4,5,1,3,2,8,7] => [3,2,5,1,6,4,8,7] => ([(0,3),(1,2),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,8,4,6,5,7,1,2] => [6,1,5,3,4,2,8,7] => [4,2,5,3,6,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,7,5,8,1,2] => [6,3,5,2,4,1,8,7] => [4,1,5,2,6,3,8,7] => ([(0,1),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,2,7,5,8,3,4] => [8,3,7,2,4,1,6,5] => [4,1,6,5,7,2,8,3] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,4,8,5,7,2,3] => [8,3,5,1,4,2,7,6] => [4,2,5,1,7,6,8,3] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[1,8,4,6,5,7,2,3] => [8,1,5,3,4,2,7,6] => [4,2,5,3,7,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,8,6,7,2,3] => [8,4,5,1,3,2,7,6] => [3,2,5,1,7,6,8,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[7,8,1,5,4,6,2,3] => [2,1,8,4,5,3,7,6] => [2,1,5,3,7,6,8,4] => ([(0,1),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,5,2,4,3,6] => [2,1,8,4,7,5,6,3] => [2,1,6,3,7,5,8,4] => ([(0,1),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,6,5,7,3,4] => [8,1,7,3,4,2,6,5] => [4,2,6,5,7,3,8,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,8,5,6,3,4] => [8,2,7,1,4,3,6,5] => [4,3,6,5,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,6,5,8,3,4] => [8,2,7,3,4,1,6,5] => [4,1,6,5,7,3,8,2] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,7,6,8,3,4] => [8,4,7,2,3,1,6,5] => [3,1,6,5,7,2,8,4] => ([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,6,8,2,5,3,4] => [8,2,3,1,7,4,6,5] => [3,1,6,5,7,4,8,2] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,8,4,5,2,3] => [8,2,3,1,5,4,7,6] => [3,1,5,4,7,6,8,2] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,6,8,1,4,2,3] => [4,2,3,1,8,5,7,6] => [3,1,4,2,7,6,8,5] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[7,8,5,6,1,3,2,4] => [2,1,4,3,8,6,7,5] => [2,1,4,3,7,5,8,6] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8)
[5,8,6,7,1,3,2,4] => [4,1,3,2,8,6,7,5] => [3,2,4,1,7,5,8,6] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[1,3,2,7,6,8,4,5] => [8,6,7,2,3,1,5,4] => [3,1,5,4,7,2,8,6] => ([(0,6),(1,5),(2,3),(2,7),(3,7),(4,5),(4,7),(6,7)],8)
[1,7,6,8,2,4,3,5] => [8,2,3,1,7,5,6,4] => [3,1,6,4,7,5,8,2] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,3,2,6,4,5] => [2,1,8,6,7,3,5,4] => [2,1,5,4,7,3,8,6] => ([(0,3),(1,2),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,1,6,2,4,3,5] => [2,1,8,3,7,5,6,4] => [2,1,6,4,7,5,8,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,7,2,4,3,5] => [8,1,3,2,7,5,6,4] => [3,2,6,4,7,5,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,4,2,6,3,5] => [2,1,8,5,7,3,6,4] => [2,1,6,4,7,3,8,5] => ([(0,1),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,8,1,4,2,5,3,6] => [2,1,8,5,7,4,6,3] => [2,1,6,3,7,4,8,5] => ([(0,1),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,8,2,1,4,3,6,5] => [2,1,7,8,5,6,3,4] => [2,1,4,6,3,8,5,7] => ([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
[4,3,6,5,8,7,1,2] => [5,6,3,4,1,2,8,7] => [2,4,1,6,3,5,8,7] => ([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8)
[3,4,6,5,7,8,1,2] => [6,5,3,4,2,1,8,7] => [4,2,1,6,5,3,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[7,6,5,4,3,1,8,2] => [2,3,4,5,6,8,1,7] => [7,8,1,2,3,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,4,3,2,1,7] => [3,1,4,5,6,7,8,2] => [8,2,3,1,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,4,3,1,9,2] => [2,3,4,5,6,7,9,1,8] => [8,9,1,2,3,4,5,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[7,9,6,5,4,3,2,1,8] => [3,1,4,5,6,7,8,9,2] => [9,2,3,1,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,7,6,5,4,3,1,10,2] => [2,3,4,5,6,7,8,10,1,9] => [9,10,1,2,3,4,5,6,7,8] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[6,8,1,4,3,2,7,5] => [3,1,8,5,6,7,2,4] => [4,7,2,3,1,6,8,5] => ([(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,5,4,3,7,1,6] => [7,1,4,5,6,2,8,3] => [8,3,6,2,4,5,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,10,7,6,5,4,3,2,1,9] => [3,1,4,5,6,7,8,9,10,2] => [10,2,3,1,4,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[10,9,8,7,6,5,4,3,1,11,2] => [2,3,4,5,6,7,8,9,11,1,10] => [10,11,1,2,3,4,5,6,7,8,9] => ([(0,9),(0,10),(1,9),(1,10),(2,9),(2,10),(3,9),(3,10),(4,9),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10)],11)
[4,6,5,8,3,1,7,2] => [5,3,4,1,6,8,2,7] => [7,8,2,4,1,5,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,1,3,2,7,4] => [3,1,4,8,6,7,2,5] => [5,7,2,3,1,4,8,6] => ([(0,2),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[11,10,9,8,7,6,5,4,3,1,12,2] => [2,3,4,5,6,7,8,9,10,12,1,11] => [11,12,1,2,3,4,5,6,7,8,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[7,6,5,1,3,8,4,2] => [2,3,4,8,6,1,5,7] => [5,7,8,6,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,3,4,8,7,5,2] => [8,3,6,5,1,2,4,7] => [2,4,6,5,1,7,8,3] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,5,8,3,7,6,2] => [8,5,4,1,6,2,3,7] => [3,6,2,7,8,5,4,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,4,1,2,7,3] => [3,1,4,5,8,7,2,6] => [6,8,7,2,3,1,4,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,8,5,2,3,7,6,4] => [8,1,4,7,6,2,3,5] => [3,5,7,6,2,4,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,2,4,3,7,1,5] => [3,1,7,5,6,2,8,4] => [8,4,6,2,3,1,7,5] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,4,3,2,1,6] => [2,4,1,5,6,7,8,3] => [8,3,4,1,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,3,6,4,1,8,7] => [4,7,6,3,5,8,1,2] => [2,8,1,5,7,6,3,4] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,3,7,1,5,6,4] => [7,1,6,2,8,4,3,5] => [5,8,4,3,6,2,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,4,3,8,1,6] => [2,7,4,5,6,1,8,3] => [8,3,6,1,2,5,7,4] => ([(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,1,5,6,7,4] => [7,1,6,8,4,3,2,5] => [5,8,4,3,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,1,2,3,7,6] => [5,4,1,8,7,6,2,3] => [3,8,7,6,2,5,4,1] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,1,2,6,7,5] => [6,1,5,8,7,3,2,4] => [4,8,7,3,2,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,4,3,8,5,6] => [7,2,8,5,6,1,4,3] => [4,3,6,1,8,5,7,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,6,1,4,7,3] => [1,7,4,3,8,5,2,6] => [1,6,8,5,2,7,4,3] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,6,2,3,8,4] => [2,4,8,3,7,6,1,5] => [5,7,6,1,2,8,3,4] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,8,4,5,1,2] => [3,2,6,1,5,4,8,7] => [5,4,6,1,3,2,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,5,1,8,2,3] => [3,2,5,4,8,1,7,6] => [7,6,8,1,3,2,5,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,7,5,6,2,3,1,8] => [5,2,4,3,7,6,8,1] => [8,1,4,3,5,2,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,6,1,8,2,3] => [5,2,4,3,8,1,7,6] => [7,6,8,1,4,3,5,2] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,7,5,6,3,8,1,2] => [5,2,4,3,6,1,8,7] => [6,1,4,3,5,2,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,8,6,7,1,2] => [5,4,6,1,3,2,8,7] => [3,2,6,1,5,4,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[5,6,4,7,1,8,2,3] => [4,3,5,2,8,1,7,6] => [7,6,8,1,5,2,4,3] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,5,1,8,6,7,2,3] => [5,4,8,1,3,2,7,6] => [3,2,7,6,8,1,5,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[7,8,4,5,1,6,2,3] => [2,1,5,4,8,3,7,6] => [2,1,7,6,8,3,5,4] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,3,1,6,5,7] => [5,1,7,6,8,3,4,2] => [4,2,8,3,5,1,7,6] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,1,8,2,7] => [4,3,6,5,8,1,7,2] => [7,2,8,1,4,3,6,5] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,4,5,2,7,1,8] => [6,3,5,4,7,2,8,1] => [8,1,7,2,5,4,6,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,5,1,8,2,7] => [6,3,5,4,8,1,7,2] => [7,2,8,1,5,4,6,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,4,8,1,5,3,7] => [7,3,5,1,8,4,6,2] => [6,2,8,4,5,1,7,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,8,3,6,1,5,4,7] => [7,1,6,3,8,4,5,2] => [5,2,8,4,6,3,7,1] => ([(0,5),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,5,3,4,1,6] => [2,1,7,4,6,5,8,3] => [2,1,8,3,6,5,7,4] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,8,6,7,2,4] => [8,4,6,1,3,2,7,5] => [3,2,7,5,6,1,8,4] => ([(0,6),(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,3,6,2,7,4,5] => [8,1,6,3,7,2,5,4] => [5,4,7,2,6,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,8,2,7,3,5] => [8,3,5,1,7,2,6,4] => [6,4,7,2,5,1,8,3] => ([(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,7,3,6,4,5,1,8] => [7,2,6,3,5,4,8,1] => [8,1,5,4,6,3,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,6,4,8,2,5] => [8,2,6,3,5,1,7,4] => [7,4,5,1,6,3,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,8,4,6,3,5] => [8,2,7,1,5,3,6,4] => [6,4,5,3,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,8,4,6,2,3] => [8,2,4,1,5,3,7,6] => [5,3,4,1,7,6,8,2] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,6,3,8,2,4] => [8,2,4,3,6,1,7,5] => [7,5,6,1,4,3,8,2] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,6,3,4,1,8] => [7,2,4,3,6,5,8,1] => [8,1,4,3,6,5,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,5,3,4,1,8] => [3,2,7,4,6,5,8,1] => [8,1,3,2,6,5,7,4] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,1,4,2,3] => [3,2,4,1,8,5,7,6] => [4,1,3,2,7,6,8,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[5,8,6,7,2,3,1,4] => [4,1,3,2,7,6,8,5] => [3,2,4,1,8,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[6,7,2,3,1,8,4,5] => [3,2,7,6,8,1,5,4] => [5,4,8,1,3,2,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,4,2,7,5,6,1,8] => [6,5,7,2,4,3,8,1] => [8,1,4,3,7,2,6,5] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,7,5,8,4,6] => [7,6,8,2,4,1,5,3] => [5,3,4,1,8,2,7,6] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,1,8,4,7,5,6] => [7,6,8,1,5,2,4,3] => [4,3,5,2,8,1,7,6] => ([(0,6),(0,7),(1,2),(1,3),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,3,1,6,4,5] => [2,1,7,6,8,3,5,4] => [2,1,5,4,8,3,7,6] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[2,8,6,7,1,4,3,5] => [7,1,3,2,8,5,6,4] => [3,2,6,4,8,5,7,1] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,5,4,6,1,8] => [6,2,7,4,5,3,8,1] => [8,1,5,3,7,4,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,7,3,6,1,8] => [5,4,7,2,6,3,8,1] => [8,1,6,3,7,2,5,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,8,2,7,3,6] => [5,4,8,1,7,2,6,3] => [6,3,7,2,8,1,5,4] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[3,4,2,5,1,8,6,7] => [6,5,7,4,8,1,3,2] => [3,2,8,1,7,4,6,5] => ([(0,6),(0,7),(1,2),(1,3),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,8,1,6,5,7] => [6,5,7,1,8,3,4,2] => [4,2,8,3,7,1,6,5] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,5,1,6,4,7] => [6,1,7,4,8,3,5,2] => [5,2,8,3,7,4,6,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,2,8,1,6,3,7] => [5,4,7,1,8,3,6,2] => [6,2,8,3,7,1,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,5,3,6,1,8,2,7] => [5,4,6,3,8,1,7,2] => [7,2,8,1,6,3,5,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,7,3,1,4,2,6] => [4,1,2,6,8,5,7,3] => [2,7,3,4,1,8,5,6] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,4,1,2,8,7] => [6,3,4,5,8,7,1,2] => [2,8,7,1,4,5,6,3] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,3,7,6,4,2] => [4,1,8,6,2,3,5,7] => [3,5,7,8,6,2,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,5,8,7,6,3,4] => [7,8,4,1,2,3,6,5] => [2,3,6,5,8,4,1,7] => ([(0,7),(1,7),(2,3),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,7,6,3,8,5] => [7,8,5,2,3,6,1,4] => [4,6,1,3,8,5,2,7] => ([(0,5),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,7,1,5,4,3,2] => [1,3,2,8,4,5,6,7] => [1,3,2,5,6,7,8,4] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,6,5,8,4,7,3] => [7,8,3,4,1,5,2,6] => [5,2,4,1,6,8,3,7] => ([(0,6),(1,3),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,8,3,5,4,6,7] => [8,7,1,6,4,5,3,2] => [5,3,2,6,4,8,7,1] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,6,1,8,2,3] => [4,5,2,3,8,1,7,6] => [7,6,8,1,3,5,2,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[4,6,7,5,8,1,2,3] => [5,3,2,4,1,8,7,6] => [4,1,5,3,2,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,6,3,7,5,1,8] => [7,5,3,6,2,4,8,1] => [8,1,4,6,2,7,5,3] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,8,1,6,5,7] => [7,5,6,1,8,3,4,2] => [4,2,8,3,6,1,7,5] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[3,8,5,7,1,6,4,2] => [6,1,4,2,8,3,5,7] => [5,7,8,3,4,2,6,1] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,5,6,1,7,4] => [6,7,1,4,3,8,2,5] => [5,8,2,4,3,7,1,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,6,7,1,4,3,2] => [4,1,3,2,8,5,6,7] => [3,2,4,1,6,7,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[4,3,8,5,1,2,6,7] => [5,6,1,4,8,7,3,2] => [8,7,3,2,4,6,1,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,7,1,4,2,6] => [6,1,4,2,8,5,7,3] => [7,3,4,2,8,5,6,1] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,2,5,1,6] => [6,1,5,2,7,4,8,3] => [8,3,7,4,5,2,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,7,5,6,2,8] => [6,5,8,2,4,3,7,1] => [7,1,4,3,8,2,6,5] => ([(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,1,5,8,6,2] => [6,5,2,8,4,1,3,7] => [3,7,8,4,1,6,5,2] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,8,1,6,5,4,2,7] => [6,1,8,3,4,5,7,2] => [7,2,4,5,8,3,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,7,5,8,2,6] => [5,8,6,2,4,1,7,3] => [7,3,4,1,8,6,2,5] => ([(0,1),(0,2),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,7,3,8,4,2,5] => [3,8,2,6,1,5,7,4] => [7,4,5,6,1,8,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,8,6,3,5,2,4] => [2,8,1,3,6,4,7,5] => [3,7,5,6,4,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,8,6,2,7,5,4] => [8,6,1,3,7,2,4,5] => [4,5,7,2,3,8,6,1] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,2,7,8,4,5] => [3,8,6,7,2,1,5,4] => [5,4,7,2,1,3,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,7,2,6,8,1,5,3] => [5,2,7,3,1,8,4,6] => [6,8,4,7,3,1,5,2] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,2,1,4,3] => [4,2,1,3,7,8,5,6] => [3,4,2,1,6,8,5,7] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(6,7)],8)
[2,7,4,1,6,8,3,5] => [7,2,5,8,3,1,6,4] => [6,4,8,3,1,5,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,2,4,5,1,6,8] => [6,2,7,5,4,8,3,1] => [8,3,1,7,5,4,6,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,4,5,2,3,7] => [8,1,3,5,4,7,6,2] => [7,6,2,3,5,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,6,5,1,3,7] => [7,1,5,3,4,8,6,2] => [8,6,2,4,5,3,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,6,1,2,4,3] => [2,4,1,3,8,7,5,6] => [3,4,1,2,6,8,7,5] => ([(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7),(6,7)],8)
[5,6,8,7,3,1,4,2] => [4,3,1,2,6,8,5,7] => [2,4,3,1,7,8,5,6] => ([(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7),(6,7)],8)
[2,5,4,3,6,8,1,7] => [7,4,5,6,3,1,8,2] => [8,2,6,3,1,5,7,4] => ([(0,5),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,1,3,7,5,6] => [5,1,7,8,6,2,4,3] => [4,3,8,6,2,5,1,7] => ([(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,2,7,5,8,3] => [3,5,8,7,2,4,1,6] => [4,1,6,8,7,2,3,5] => ([(0,3),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,4,5,2,6,1] => [1,6,2,5,4,7,3,8] => [1,7,3,5,4,6,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,8,5,1,6,2] => [5,6,2,1,4,8,3,7] => [7,8,3,4,6,2,1,5] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,8,2,7,6,1,3] => [4,5,1,7,2,3,8,6] => [3,8,6,7,2,5,1,4] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,3,6,5,8,4] => [8,7,2,6,3,4,1,5] => [4,1,5,6,3,8,7,2] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,8,4,3,6,2] => [4,8,2,1,5,6,3,7] => [6,3,5,7,8,2,1,4] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,5,6,1,2,7] => [6,1,5,4,3,8,7,2] => [8,7,2,5,4,3,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,5,7,8,2,6] => [8,5,6,4,2,1,7,3] => [7,3,6,4,2,1,8,5] => ([(0,2),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,1,3,4,2] => [3,4,1,2,8,6,5,7] => [2,4,1,3,7,8,6,5] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(6,7)],8)
[3,6,7,2,4,8,1,5] => [6,3,2,7,5,1,8,4] => [8,4,7,5,1,6,3,2] => ([(0,2),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,5,4,3,2,7] => [8,1,3,4,5,6,7,2] => [7,2,3,4,5,6,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,8,6,1,2,4] => [2,6,4,1,3,8,7,5] => [3,8,7,5,6,4,1,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,8,3,2,1,5,4] => [2,3,1,6,7,8,4,5] => [3,1,2,5,8,4,6,7] => ([(0,7),(1,7),(2,5),(3,5),(4,6),(6,7)],8)
[7,8,4,2,1,6,5,3] => [2,1,5,7,8,3,4,6] => [2,1,4,6,8,3,5,7] => ([(0,1),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,4,3,8,7,5,1,2] => [3,5,6,1,2,4,8,7] => [2,4,6,1,3,5,8,7] => ([(0,1),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,1,4,2,8,7,5,3] => [3,8,5,7,1,2,4,6] => [2,4,6,7,1,3,8,5] => ([(0,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,8,2,4,1,7,6,3] => [4,1,7,5,8,2,3,6] => [3,6,8,2,4,1,7,5] => ([(0,4),(0,6),(1,2),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,8,2,6,3,7,5,1] => [5,1,7,3,6,2,4,8] => [4,6,2,7,3,5,1,8] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,8,2,6,5,7] => [8,5,6,1,7,3,4,2] => [4,2,7,3,6,1,8,5] => ([(0,5),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[4,1,3,8,2,6,5,7] => [5,8,6,1,7,3,4,2] => [4,2,7,3,8,6,1,5] => ([(0,4),(0,7),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,8,5,2,1,6] => [5,6,2,1,4,7,8,3] => [8,3,4,6,2,1,5,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,8,6,5,7] => [8,7,6,5,1,3,4,2] => [4,2,3,8,7,6,5,1] => ([(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,8,7,1,5,4] => [6,3,7,1,2,8,4,5] => [2,5,8,4,7,1,6,3] => ([(0,7),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,2,6,5,4,1] => [6,1,2,7,3,4,5,8] => [2,4,5,7,3,6,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,7,6,5,4,3] => [1,7,8,2,3,4,5,6] => [1,3,4,5,6,8,2,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[8,6,7,5,1,4,3,2] => [1,3,2,4,8,5,6,7] => [1,3,2,4,6,7,8,5] => ([(2,3),(4,7),(5,7),(6,7)],8)
[6,5,3,7,2,1,4,8] => [3,4,6,2,7,8,5,1] => [8,5,1,6,2,3,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,7,2,5,1,8,6] => [5,6,2,7,4,8,1,3] => [3,8,1,7,4,6,2,5] => ([(0,1),(0,7),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,6,1,4,3,7] => [4,1,7,3,8,5,6,2] => [6,2,8,5,7,3,4,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,6,1,5,8,7] => [5,6,7,3,8,4,1,2] => [2,8,4,1,7,3,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,4,1,8,7,3,2] => [3,4,5,8,1,2,6,7] => [2,6,7,8,1,3,4,5] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,8,4,1,6,7,3,2] => [4,1,5,8,3,2,6,7] => [6,7,8,3,2,4,1,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,8,3,1,5,6,7,2] => [5,1,6,8,4,3,2,7] => [7,8,4,3,2,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,2,1,6,4,8,7] => [4,6,7,8,3,5,1,2] => [2,5,1,8,3,4,6,7] => ([(0,7),(1,7),(2,3),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,7,1,5,6,3,8] => [5,7,2,8,4,3,6,1] => [6,1,8,4,3,7,2,5] => ([(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,4,1,7,5,3,2] => [1,3,5,8,2,4,6,7] => [1,4,6,7,8,2,3,5] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,4,2,8,3,6,5] => [2,8,5,7,1,6,3,4] => [4,6,3,7,1,2,8,5] => ([(0,3),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,2,5,3,6,4] => [2,8,1,7,4,6,3,5] => [5,6,3,7,4,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,1,5,2,7,4,3] => [1,3,8,4,7,2,5,6] => [1,5,6,7,2,3,8,4] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,1,7,5,4,3,8,6] => [7,8,2,4,5,6,1,3] => [3,6,1,4,5,8,2,7] => ([(0,5),(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,4,5,3,6,7] => [7,8,1,5,4,6,3,2] => [6,3,2,5,4,8,1,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,3,6,5,4] => [7,8,2,1,6,3,4,5] => [4,5,6,3,8,2,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,7,6,3,4] => [7,8,1,4,2,3,6,5] => [3,4,2,6,5,8,1,7] => ([(0,5),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,1,6,2,4,7] => [1,4,6,8,3,7,5,2] => [1,7,5,2,8,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,3,7,5,2,6,1,4] => [1,6,2,4,7,3,8,5] => [1,8,5,7,3,4,6,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,4,6,8,1,2] => [4,6,2,5,3,1,8,7] => [5,3,1,6,2,4,8,7] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,6,2,1,4] => [4,1,6,2,3,7,8,5] => [3,8,5,6,2,4,1,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,8,6,3,1,7] => [4,7,5,1,3,6,8,2] => [8,2,3,6,7,5,1,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,3,8,5,1,7] => [5,7,3,6,1,4,8,2] => [8,2,4,6,1,7,3,5] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,2,7,8,1,5] => [5,3,6,7,2,1,8,4] => [8,4,7,2,1,5,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,1,7,6,4,3] => [4,1,7,8,2,3,5,6] => [3,5,6,8,2,4,1,7] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,1,5,7,4,2] => [3,6,1,8,4,2,5,7] => [5,7,8,4,2,6,1,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,2,3,1,8,6,5] => [2,5,7,6,8,1,3,4] => [3,4,8,1,2,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,2,4,3,1,5,8,6] => [2,7,5,6,8,4,1,3] => [3,8,4,1,2,6,7,5] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[7,8,3,1,5,4,6,2] => [2,1,6,8,4,5,3,7] => [2,1,5,3,7,8,4,6] => ([(0,6),(1,2),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[7,2,8,1,4,6,5,3] => [2,7,1,8,5,3,4,6] => [4,6,8,5,3,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,3,1,4,5,8,7] => [3,7,6,8,5,4,1,2] => [2,8,5,4,1,3,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,4,3,2,8,7] => [4,3,8,5,6,7,1,2] => [2,7,1,4,3,6,8,5] => ([(0,5),(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,1,8,3,6,2,4] => [4,2,8,1,6,3,7,5] => [7,5,6,3,8,1,4,2] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,7,5,1,3,4,2,6] => [1,2,4,8,6,5,7,3] => [1,2,7,3,4,8,6,5] => ([(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,7,1,3,8,2,4] => [3,4,2,8,6,1,7,5] => [7,5,8,6,1,4,2,3] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,2,6,1,4,7,3,5] => [1,7,3,8,5,2,6,4] => [1,6,4,8,5,2,7,3] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,1,6,3,7,4,2] => [4,1,8,3,6,2,5,7] => [5,6,2,7,8,3,4,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,6,5,4,1,8,2] => [2,6,3,4,5,8,1,7] => [7,8,1,2,4,5,6,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,6,4,5,1,2,7] => [1,6,3,5,4,8,7,2] => [1,8,7,2,5,4,6,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,4,1,2,8,7] => [3,6,4,5,8,7,1,2] => [2,8,7,1,3,5,6,4] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,6,5,1,4,2] => [1,2,6,3,4,8,5,7] => [1,2,4,7,8,5,6,3] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,3,4,6,1,5,7] => [7,1,6,5,3,8,4,2] => [8,4,2,6,5,3,7,1] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,3,6,1,8,5] => [7,2,5,6,3,8,1,4] => [4,8,1,6,3,5,7,2] => ([(0,6),(0,7),(1,2),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,2,8,1,5,6] => [6,5,2,7,1,8,4,3] => [8,4,3,7,1,6,5,2] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,5,8,1,6,7] => [5,7,6,4,1,8,3,2] => [8,3,2,7,6,4,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,4,7,1,6,5] => [6,7,1,5,2,8,3,4] => [4,8,3,5,2,7,1,6] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,7,5,1,6,3] => [1,7,5,2,4,8,3,6] => [1,6,8,3,4,7,5,2] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,6,1,5,8,7] => [6,7,5,3,8,4,1,2] => [2,8,4,1,7,5,3,6] => ([(0,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,7,6,1,2] => [1,6,5,4,2,3,8,7] => [1,3,6,5,4,2,8,7] => ([(1,2),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,6,5,7,1,3] => [7,1,5,3,4,2,8,6] => [4,2,5,3,8,6,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,4,6,7,1,5] => [7,6,1,5,3,2,8,4] => [8,4,5,3,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,5,8,7,1,6] => [7,5,6,4,1,2,8,3] => [2,8,3,6,4,1,7,5] => ([(0,6),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,8,6,1,2,4] => [6,4,2,1,3,8,7,5] => [3,8,7,5,6,4,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,8,6,3,4,2] => [4,8,2,1,3,6,5,7] => [3,6,5,7,8,2,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,1,3,7,8,6,4,2] => [4,8,6,2,1,3,5,7] => [3,5,7,8,6,2,1,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,2,6,7,5,8,3,4] => [8,7,3,2,4,1,6,5] => [4,1,6,5,8,7,3,2] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,1,8,2,6,4] => [2,6,4,8,1,7,3,5] => [5,7,3,8,1,2,6,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,5,1,6,2,8,3,4] => [2,4,8,3,7,1,6,5] => [6,5,7,1,2,8,3,4] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,5,8,2,3,7] => [5,3,8,4,1,7,6,2] => [7,6,2,8,4,1,5,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[10,11,9,8,7,6,5,4,3,2,1] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => ([(9,10)],11)
[11,10,9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => ([(9,10)],11)
[5,3,7,1,4,8,6,2] => [4,6,2,8,5,1,3,7] => [3,7,8,5,1,6,2,4] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,4,2,7,3,6,5] => [1,8,5,7,2,6,3,4] => [1,4,6,3,7,2,8,5] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,8,7,4,1,2,6,3] => [4,1,2,5,8,7,3,6] => [2,6,8,7,3,4,1,5] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,4,8,1,7,5] => [6,7,3,5,1,8,2,4] => [4,8,2,5,1,7,3,6] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,3,2,1,6,7,4] => [4,1,6,7,8,3,2,5] => [5,8,3,2,4,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,7,1,6,2,8,4] => [4,6,2,8,3,7,1,5] => [5,7,1,8,3,6,2,4] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,7,8,2,1,6,5] => [6,5,2,1,7,8,3,4] => [4,8,3,6,5,2,1,7] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,2,1,6,5] => [6,5,1,2,7,8,3,4] => [2,4,8,3,6,5,1,7] => ([(0,7),(1,6),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,1,5,6,7,3] => [5,7,1,8,4,3,2,6] => [6,8,4,3,2,7,1,5] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,8,5,1,6,7,3] => [5,7,1,4,8,3,2,6] => [6,8,3,2,4,7,1,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,8,2,4,5,6,1] => [6,2,1,7,5,4,3,8] => [7,5,4,3,6,2,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,3,8,5,2,7] => [5,8,3,6,1,4,7,2] => [7,2,4,6,1,8,3,5] => ([(0,3),(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,6,8,3,5,2,7] => [5,8,3,1,6,4,7,2] => [7,2,6,4,8,3,1,5] => ([(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,7,8,4,1,3] => [4,3,7,2,1,5,8,6] => [5,8,6,7,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,1,3,8,4,7,5] => [7,3,8,6,1,5,2,4] => [4,5,2,8,6,1,7,3] => ([(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,3,6,5,1,7,4] => [1,7,6,3,4,8,2,5] => [1,5,8,2,4,7,6,3] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,9,8,7,6,5,4,2,1] => [7,1,2,3,4,5,6,8,9] => [2,3,4,5,6,7,1,8,9] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,9,8,7,6,5,4,3,1] => [8,1,2,3,4,5,6,7,9] => [2,3,4,5,6,7,8,1,9] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,8,7,6,5,2,3,4] => [8,1,2,3,4,7,6,5] => [2,3,4,7,6,5,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,10,9,8,7,6,5,4,3,1] => [9,1,2,3,4,5,6,7,8,10] => [2,3,4,5,6,7,8,9,1,10] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[6,3,2,8,5,1,7,4] => [3,6,7,1,4,8,2,5] => [5,8,2,4,7,1,3,6] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,3,4,5,1,7,2] => [3,1,6,5,4,8,2,7] => [7,8,2,3,1,6,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,1,6,5,8,2,7] => [5,6,8,3,4,1,7,2] => [7,2,4,1,8,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,7)],8)
[4,7,2,6,5,8,1,3] => [5,2,7,3,4,1,8,6] => [4,1,8,6,7,3,5,2] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,7,1,8,2,5] => [3,6,5,2,8,1,7,4] => [7,4,8,1,6,5,2,3] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,2,4,5,6,7,3] => [8,1,7,5,4,3,2,6] => [6,7,5,4,3,2,8,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,4,8,7,5,3] => [8,7,3,5,1,2,4,6] => [2,4,5,1,6,8,7,3] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,8,5,6,3,4] => [8,7,2,1,4,3,6,5] => [4,3,6,5,8,7,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,4,2,7,6,5] => [8,6,1,5,7,2,3,4] => [3,4,7,2,5,8,6,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,4,8,3,7,5] => [8,7,3,5,1,6,2,4] => [4,6,2,5,1,8,7,3] => ([(0,1),(0,7),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,2,6,8,5,3,7,4] => [8,7,3,1,4,6,2,5] => [5,6,2,4,8,7,3,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,7,4,1,6,5] => [7,6,1,2,5,8,3,4] => [2,4,8,3,5,7,6,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,1,7,8,2,5] => [6,3,5,8,2,1,7,4] => [7,4,8,2,1,5,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,1,5,4,8,3,7] => [7,3,8,4,5,1,6,2] => [6,2,5,1,8,4,7,3] => ([(0,3),(0,7),(1,2),(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,2,8,7,3,4] => [4,8,3,7,1,2,6,5] => [2,6,5,7,1,8,3,4] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,4,7,6,5,3,2,1] => [1,5,2,3,4,6,7,8] => [1,3,4,5,2,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,5,7,4,6,3,2,1] => [1,4,2,5,3,6,7,8] => [1,5,3,4,2,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,5,4,2,1] => [1,2,3,6,4,5,7,8] => [1,2,3,5,6,4,7,8] => ([(5,7),(6,7)],8)
[8,6,7,3,5,4,2,1] => [1,3,2,6,4,5,7,8] => [1,3,2,5,6,4,7,8] => ([(3,4),(5,7),(6,7)],8)
[8,5,7,3,6,4,2,1] => [1,4,2,6,3,5,7,8] => [1,5,6,3,4,2,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,7,4,6,5,3,2] => [1,8,2,5,3,4,6,7] => [1,4,5,3,6,7,8,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,6,4,3,1] => [1,4,2,7,3,5,6,8] => [1,5,6,7,3,4,2,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,7,2,5,4,3,1] => [1,3,2,7,4,5,6,8] => [1,3,2,5,6,7,4,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[8,7,6,2,5,4,3,1] => [1,2,3,7,4,5,6,8] => [1,2,3,5,6,7,4,8] => ([(4,7),(5,7),(6,7)],8)
[8,4,7,1,6,5,3,2] => [1,5,2,8,3,4,6,7] => [1,4,6,7,8,3,5,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,7,1,6,5,4,2] => [1,6,2,8,3,4,5,7] => [1,4,5,7,8,3,6,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,6,5,4,3] => [1,8,2,7,3,4,5,6] => [1,4,5,6,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,2,5,3,4,1] => [1,2,3,7,4,6,5,8] => [1,2,3,6,5,7,4,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,5,3,4,2] => [1,8,2,3,4,6,5,7] => [1,3,4,6,5,7,8,2] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,5,2,3,1] => [1,5,2,3,4,7,6,8] => [1,3,4,5,2,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[8,5,7,6,4,2,3,1] => [1,4,2,3,5,7,6,8] => [1,3,4,2,5,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[8,6,7,5,4,1,3,2] => [1,3,2,4,5,8,6,7] => [1,3,2,4,5,7,8,6] => ([(3,4),(5,7),(6,7)],8)
[8,5,7,6,4,1,3,2] => [1,4,2,3,5,8,6,7] => [1,3,4,2,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8)
[8,7,6,4,5,1,3,2] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,7,8,6] => ([(3,4),(5,7),(6,7)],8)
[8,7,6,2,5,1,4,3] => [1,2,3,7,4,8,5,6] => [1,2,3,6,8,5,7,4] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,5,2,4,3] => [1,2,3,8,4,7,5,6] => [1,2,3,6,7,5,8,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,3,2,5,4,7] => [3,1,8,6,7,4,5,2] => [5,2,3,1,7,4,8,6] => ([(0,5),(1,2),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[6,8,1,4,2,5,3,7] => [3,1,8,5,7,4,6,2] => [6,2,3,1,7,4,8,5] => ([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,3,6,1,4,2,5] => [2,1,6,3,8,5,7,4] => [2,1,7,4,8,5,6,3] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,5,3,6,1,4] => [2,1,7,4,6,3,8,5] => [2,1,8,5,6,3,7,4] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,5,1,4,3,6] => [2,1,7,4,8,5,6,3] => [2,1,6,3,8,5,7,4] => ([(0,1),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,4,3,6,2,5] => [2,1,8,5,6,3,7,4] => [2,1,7,4,6,3,8,5] => ([(0,1),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,4,3,7,2,6] => [4,1,8,5,6,2,7,3] => [7,3,6,2,4,1,8,5] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,5,1,4,3,7] => [3,1,7,4,8,5,6,2] => [6,2,3,1,8,5,7,4] => ([(0,3),(0,7),(1,3),(1,7),(2,4),(2,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,2,5,3,7,1,4] => [3,1,7,4,6,2,8,5] => [8,5,6,2,3,1,7,4] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,5,4,7,1,3] => [3,1,7,4,5,2,8,6] => [5,2,3,1,8,6,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(6,7)],8)
[2,5,4,7,6,8,1,3] => [7,4,5,2,3,1,8,6] => [3,1,5,2,8,6,7,4] => ([(0,5),(1,2),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,5,3,7,6,8,1,4] => [7,4,6,2,3,1,8,5] => [3,1,8,5,6,2,7,4] => ([(0,2),(1,5),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,1,4,3,7,6,8] => [7,4,8,5,6,2,3,1] => [3,1,6,2,8,5,7,4] => ([(0,3),(1,3),(1,4),(2,5),(2,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,4,3,7,5,8] => [7,3,8,5,6,2,4,1] => [4,1,6,2,8,5,7,3] => ([(0,6),(1,4),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[2,6,5,8,1,4,3,7] => [7,3,4,1,8,5,6,2] => [6,2,4,1,8,5,7,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[2,6,1,5,3,7,4,8] => [7,3,8,4,6,2,5,1] => [5,1,6,2,8,4,7,3] => ([(0,6),(1,3),(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,7,4,8,1,5] => [7,3,6,2,5,1,8,4] => [8,4,5,1,6,2,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,7,5,8,1,3] => [7,3,5,2,4,1,8,6] => [4,1,5,2,8,6,7,3] => ([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,8,3,6,4,7,1,2] => [4,1,6,3,5,2,8,7] => [5,2,6,3,4,1,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,6,4,7,1,3] => [4,1,7,3,5,2,8,6] => [5,2,8,6,7,3,4,1] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,6,3,7,1,5] => [5,1,7,3,6,2,8,4] => [8,4,6,2,7,3,5,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,5,3,7,2,6] => [5,1,8,4,6,2,7,3] => [7,3,6,2,8,4,5,1] => ([(0,2),(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,5,2,6,3,7] => [5,1,8,4,7,3,6,2] => [6,2,7,3,8,4,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,1,5,2,6] => [5,1,6,2,8,4,7,3] => [7,3,8,4,6,2,5,1] => ([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,1,4,2,5] => [3,1,6,2,8,5,7,4] => [7,4,8,5,6,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,3,2,6,4,7] => [4,1,8,6,7,3,5,2] => [5,2,7,3,4,1,8,6] => ([(0,2),(1,5),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,4,7,1,3,2,6] => [4,1,5,2,8,6,7,3] => [7,3,5,2,4,1,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,7,1,3,2,5] => [3,1,5,2,8,6,7,4] => [7,4,5,2,3,1,8,6] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,7,1,3,2,4] => [3,1,4,2,8,6,7,5] => [4,2,3,1,7,5,8,6] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(6,7)],8)
[5,7,6,8,2,4,1,3] => [4,2,3,1,7,5,8,6] => [3,1,4,2,8,6,7,5] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(6,7)],8)
[4,7,6,8,1,3,2,5] => [5,2,3,1,8,6,7,4] => [3,1,7,4,5,2,8,6] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[4,7,5,8,1,3,2,6] => [5,2,4,1,8,6,7,3] => [7,3,4,1,5,2,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,3,2,6,5,8] => [5,2,8,6,7,3,4,1] => [4,1,7,3,5,2,8,6] => ([(0,4),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,1,4,2,6,5,8] => [6,2,8,5,7,3,4,1] => [4,1,7,3,8,5,6,2] => ([(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,5,8,1,4,2,6] => [6,2,4,1,8,5,7,3] => [7,3,4,1,8,5,6,2] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,8,1,4,2,5] => [6,2,3,1,8,5,7,4] => [3,1,7,4,8,5,6,2] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,8,2,5,1,4] => [6,2,3,1,7,4,8,5] => [3,1,8,5,7,4,6,2] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,8,2,5,1,3] => [5,2,3,1,7,4,8,6] => [3,1,8,6,7,4,5,2] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,8,3,6,1,2] => [5,2,4,1,6,3,8,7] => [6,3,4,1,5,2,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,8,2,6,1,3] => [5,2,4,1,7,3,8,6] => [8,6,7,3,4,1,5,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,8,2,6,1,4] => [6,2,4,1,7,3,8,5] => [8,5,7,3,4,1,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,8,2,6,1,5] => [6,2,5,1,7,3,8,4] => [8,4,7,3,5,1,6,2] => ([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,8,1,5,2,6] => [6,2,5,1,8,4,7,3] => [7,3,8,4,5,1,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,7,1,5,2,6,4,8] => [6,2,8,4,7,3,5,1] => [5,1,7,3,8,4,6,2] => ([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,6,1,5,4,8] => [6,2,7,3,8,4,5,1] => [5,1,8,4,7,3,6,2] => ([(0,4),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,6,5,8,1,4] => [6,2,7,3,4,1,8,5] => [4,1,8,5,7,3,6,2] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,6,5,8,1,2] => [5,2,6,3,4,1,8,7] => [4,1,6,3,5,2,8,7] => ([(0,1),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,8,4,7,1,2] => [6,3,4,1,5,2,8,7] => [5,2,4,1,6,3,8,7] => ([(0,1),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,8,4,7,1,3] => [7,3,4,1,5,2,8,6] => [5,2,4,1,8,6,7,3] => ([(0,3),(0,7),(1,3),(1,7),(2,4),(2,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,5,8,3,7,1,4] => [7,3,4,1,6,2,8,5] => [8,5,6,2,4,1,7,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,7,1,5,4,8] => [7,3,6,2,8,4,5,1] => [5,1,8,4,6,2,7,3] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,8,4,1,7,5,3] => [3,7,1,5,8,2,4,6] => [4,6,8,2,5,7,1,3] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[5,7,4,8,6,3,2,1] => [4,2,5,1,3,6,7,8] => [3,5,1,4,2,6,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,6,9,8,5,4,3,2,1] => [3,4,1,2,5,6,7,8,9] => [2,4,1,3,5,6,7,8,9] => ([(5,8),(6,7),(7,8)],9)
[6,7,8,9,5,4,3,2,1] => [4,3,2,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => ([(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[5,6,7,8,9,4,3,2,1] => [5,4,3,2,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9] => ([(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,5,6,7,8,9,3,2,1] => [6,5,4,3,2,1,7,8,9] => [6,5,4,3,2,1,7,8,9] => ([(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,5,4,7,6,9,8,1] => [7,8,5,6,3,4,1,2,9] => [2,4,1,6,3,8,5,7,9] => ([(1,8),(2,7),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,6,7,8,9,2,1] => [7,6,5,4,3,2,1,8,9] => [7,6,5,4,3,2,1,8,9] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[8,7,10,9,6,5,4,3,2,1] => [3,4,1,2,5,6,7,8,9,10] => [2,4,1,3,5,6,7,8,9,10] => ([(6,9),(7,8),(8,9)],10)
[8,9,10,7,6,5,4,3,2,1] => [3,2,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => ([(7,8),(7,9),(8,9)],10)
[7,8,9,10,6,5,4,3,2,1] => [4,3,2,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9,10] => ([(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[5,4,3,2,1,10,9,8,7,6] => [6,7,8,9,10,1,2,3,4,5] => [2,3,4,5,10,1,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(8,9)],10)
[5,6,7,8,9,10,4,3,2,1] => [6,5,4,3,2,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9,10] => ([(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,5,6,7,8,9,10,3,2,1] => [7,6,5,4,3,2,1,8,9,10] => [7,6,5,4,3,2,1,8,9,10] => ([(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,5,6,7,8,9,10,2,1] => [8,7,6,5,4,3,2,1,9,10] => [8,7,6,5,4,3,2,1,9,10] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,1,2,3,8,7,5,4] => [3,8,7,6,1,2,4,5] => [2,4,5,8,7,6,1,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,4,2,3,7,5] => [3,1,8,5,7,6,2,4] => [4,7,6,2,3,1,8,5] => ([(0,2),(1,3),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,4,2,3,8,5] => [3,2,8,5,7,6,1,4] => [4,7,6,1,3,2,8,5] => ([(0,3),(1,2),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,8,5,7,1,2] => [5,6,3,1,4,2,8,7] => [4,2,6,3,1,5,8,7] => ([(0,1),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,5,4,8,3,7] => [3,8,7,4,5,1,6,2] => [6,2,5,1,3,8,7,4] => ([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,5,8,3,4,6] => [2,7,8,4,1,6,5,3] => [6,5,3,8,4,1,2,7] => ([(0,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,5,1,3,6,7] => [7,5,1,4,8,6,3,2] => [8,6,3,2,4,7,5,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,1,8,4,2,7] => [6,4,3,8,1,5,7,2] => [7,2,5,8,1,6,4,3] => ([(0,4),(0,7),(1,2),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,4,1,6,3,5] => [2,7,1,5,8,3,6,4] => [6,4,8,3,5,7,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,7,2,4,3,8,6] => [4,8,2,7,5,6,1,3] => [3,6,1,7,5,8,2,4] => ([(0,1),(0,4),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,8,4,5,7,3,6] => [7,8,1,5,4,2,6,3] => [6,3,5,4,2,8,1,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,5,6,8,2,4] => [8,6,2,4,3,1,7,5] => [4,3,1,7,5,8,6,2] => ([(0,5),(0,6),(1,4),(1,7),(2,3),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,2,8,1,7,5] => [6,5,3,7,1,8,2,4] => [4,8,2,7,1,6,5,3] => ([(0,1),(0,4),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,7,3,8,6,4] => [8,7,4,2,6,1,3,5] => [3,5,6,1,8,7,4,2] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,6,2,4,7,1,8,5] => [6,3,7,5,2,8,1,4] => [4,8,1,7,5,2,6,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,4,8,5,3,7] => [7,8,3,5,1,4,6,2] => [6,2,4,5,1,8,3,7] => ([(0,2),(1,5),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,8,5,3,2,7,6] => [5,8,1,4,6,7,2,3] => [3,7,2,4,6,8,1,5] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,2,5,7,1,4,8] => [6,3,7,4,2,8,5,1] => [8,5,1,7,4,2,6,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,3,8,7,4,2,5] => [8,3,6,1,2,5,7,4] => [2,7,4,5,6,1,8,3] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,1,2,6,7,5] => [5,6,1,8,7,3,2,4] => [4,8,7,3,2,6,1,5] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[11,12,9,10,7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,1,4,3,6,5,8,7,10,9,12,11] => ([(0,11),(1,10),(2,9),(3,8),(4,7),(5,6)],12)
[5,2,7,4,1,3,6,8] => [4,7,2,5,8,6,3,1] => [8,6,3,1,5,7,2,4] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,6,2,8,7,5] => [6,8,5,3,7,1,2,4] => [2,4,7,1,8,5,3,6] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(5,7),(6,7)],8)
[5,7,4,3,8,1,2,6] => [4,2,5,6,1,8,7,3] => [8,7,3,6,1,4,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,6,5,4,3] => [8,1,7,2,3,4,5,6] => [3,4,5,6,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,8,5,6,1,4] => [2,7,6,1,4,3,8,5] => [4,3,8,5,7,6,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,1,5,8,7,3,6] => [5,7,8,4,1,2,6,3] => [2,6,3,8,4,1,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,6,3,7,2,8,5] => [8,5,3,6,2,7,1,4] => [4,7,1,6,2,8,5,3] => ([(0,4),(0,6),(1,3),(1,7),(2,3),(2,5),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,6,5,2,8,4] => [8,2,6,3,4,7,1,5] => [5,7,1,4,6,3,8,2] => ([(0,7),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,6,5,4,1,8] => [6,2,7,3,4,5,8,1] => [8,1,4,5,7,3,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,5,4,3,1,8] => [2,3,7,4,5,6,8,1] => [8,1,2,3,5,6,7,4] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,4,7,5,1,8] => [6,7,3,5,2,4,8,1] => [8,1,4,5,2,7,3,6] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,7,5,4,1,8] => [3,7,6,2,4,5,8,1] => [8,1,4,5,7,6,2,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,4,7,6,2,8,5] => [8,6,5,2,3,7,1,4] => [4,7,1,3,8,6,5,2] => ([(0,3),(0,6),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,5,1,6,4,3] => [1,2,7,4,8,3,5,6] => [1,2,5,6,8,3,7,4] => ([(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,8,2,6,5,1,7,4] => [6,1,7,3,4,8,2,5] => [5,8,2,4,7,3,6,1] => ([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,5,4,1,6,3] => [2,1,7,4,5,8,3,6] => [2,1,6,8,3,5,7,4] => ([(0,1),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,1,3,7,2,8,6] => [5,4,8,6,2,7,1,3] => [3,7,1,8,6,2,5,4] => ([(0,1),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,3,7,5,2,8,4] => [3,8,6,2,4,7,1,5] => [5,7,1,4,8,6,2,3] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,1,3,6,2,8,5,4] => [2,8,6,3,7,1,4,5] => [4,5,7,1,2,8,6,3] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,8,2,6,5,4,3] => [2,8,1,7,3,4,5,6] => [4,5,6,7,3,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,8,6,2,7,5,4] => [6,8,1,3,7,2,4,5] => [4,5,7,2,3,8,1,6] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,8,2,6,5,3] => [5,8,2,1,7,3,4,6] => [4,6,7,3,8,2,1,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,6,1,7,5,4] => [6,7,1,3,8,2,4,5] => [4,5,8,2,3,7,1,6] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,2,6,5,4,3] => [8,1,2,7,3,4,5,6] => [2,4,5,6,7,3,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,1,6,5,4,3] => [7,1,2,8,3,4,5,6] => [2,4,5,6,8,3,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,5,1,4,3,2] => [3,2,1,4,8,5,6,7] => [3,2,1,4,6,7,8,5] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[5,6,3,8,4,1,7,2] => [4,3,6,1,5,8,2,7] => [7,8,2,5,6,1,4,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,5,4,1,6,2] => [2,6,1,4,5,8,3,7] => [7,8,3,4,5,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,8,6,5,1,7,2] => [6,5,1,3,4,8,2,7] => [7,8,2,3,4,6,5,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,8,6,2,7,5,3] => [8,5,1,3,7,2,4,6] => [4,6,7,2,3,8,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,6,7,1,5,3,2] => [1,5,3,2,8,4,6,7] => [1,6,7,8,4,5,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,7,8,1,3,2] => [4,3,5,2,1,8,6,7] => [5,2,1,4,3,7,8,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8)
[3,4,6,5,1,2,8,7] => [6,5,3,4,8,7,1,2] => [2,8,7,1,4,6,5,3] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,6,3,8,5,4] => [2,7,8,3,6,1,4,5] => [4,5,6,1,2,8,3,7] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,6,7,1,2,8,4,3] => [4,3,2,8,7,1,5,6] => [5,6,8,7,1,4,3,2] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,3,8,6,5,4] => [7,2,8,6,1,3,4,5] => [3,4,5,8,6,1,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,1,2,7,5,4,3] => [1,3,8,7,2,4,5,6] => [1,4,5,6,8,7,2,3] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,3,8,6,5,4] => [8,2,7,6,1,3,4,5] => [3,4,5,7,6,1,8,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,1,2,6,5,4,3] => [1,2,8,7,3,4,5,6] => [1,2,4,5,6,8,7,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,6,5,4,3] => [2,1,8,7,3,4,5,6] => [2,1,4,5,6,8,7,3] => ([(0,1),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,6,2,7,5,4] => [6,1,8,3,7,2,4,5] => [4,5,7,2,8,3,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,1,2,7,4,3] => [4,3,1,8,7,2,5,6] => [5,6,8,7,2,4,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,6,4,3,1,8] => [2,4,7,3,5,6,8,1] => [8,1,2,5,6,7,3,4] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,7,4,5,6,1,2] => [6,1,2,5,4,3,8,7] => [2,5,4,3,6,1,8,7] => ([(0,1),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,8,6,7,1,2] => [6,5,4,1,3,2,8,7] => [3,2,6,5,4,1,8,7] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,3,8,4,6,5] => [7,8,2,6,1,5,3,4] => [4,5,3,6,1,8,2,7] => ([(0,2),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,8,2,7,3,6,5] => [5,8,1,7,2,6,3,4] => [4,6,3,7,2,8,1,5] => ([(0,3),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,2,8,4,6,5] => [2,8,6,7,1,5,3,4] => [4,5,3,7,1,2,8,6] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,1,8,2,4,3,6,5] => [2,8,1,7,5,6,3,4] => [4,6,3,7,5,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,7,2,8,3,6,4] => [4,8,2,7,1,6,3,5] => [5,6,3,7,1,8,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,8,2,7,3,6,4] => [4,8,1,7,2,6,3,5] => [5,6,3,7,2,8,1,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,1,6,2,4,3,7,5] => [1,8,3,7,5,6,2,4] => [1,4,6,2,7,5,8,3] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,2,4,3,7,5] => [3,8,1,7,5,6,2,4] => [4,6,2,7,5,8,1,3] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,8,2,5,3,7,4] => [3,8,1,7,4,6,2,5] => [5,6,2,7,4,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,8,2,7,3,5,4] => [3,8,1,7,2,6,4,5] => [5,6,4,7,2,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,1,7,2,8,3,5,4] => [3,8,2,7,1,6,4,5] => [5,6,4,7,1,8,2,3] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[6,1,7,2,5,3,8,4] => [3,8,2,7,4,6,1,5] => [5,6,1,7,4,8,2,3] => ([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,2,4,3,8,7] => [4,8,3,7,5,6,1,2] => [2,6,1,7,5,8,3,4] => ([(0,2),(1,6),(1,7),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,2,4,3,8,6] => [2,8,4,7,5,6,1,3] => [3,6,1,2,7,5,8,4] => ([(0,7),(1,2),(1,3),(2,6),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,2,4,3,8,5] => [2,8,3,7,5,6,1,4] => [4,6,1,2,7,5,8,3] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,2,5,3,8,4] => [2,8,3,7,4,6,1,5] => [5,6,1,2,7,4,8,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,2,8,3,5,4] => [2,8,3,7,1,6,4,5] => [5,6,4,7,1,2,8,3] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)
[7,1,8,2,6,3,5,4] => [2,8,1,7,3,6,4,5] => [5,6,4,7,3,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,4,7,2,6,3] => [8,1,4,5,2,7,3,6] => [6,7,3,5,2,4,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,2,8,5,7,1,4] => [3,6,7,1,4,2,8,5] => [4,2,8,5,7,1,3,6] => ([(0,4),(0,6),(1,2),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,6,3,8,5,4,1,2] => [2,3,6,1,4,5,8,7] => [4,5,6,1,2,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,1,5,3,2,8,6,7] => [5,8,4,6,7,1,3,2] => [3,2,7,1,6,8,4,5] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,8,1,2,5,7,4] => [3,6,1,8,7,4,2,5] => [5,8,7,4,2,6,1,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,1,2,5,8,4] => [6,3,2,8,7,4,1,5] => [5,8,7,4,1,6,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,1,3,5,4,6] => [2,1,7,8,6,4,5,3] => [2,1,5,3,8,6,4,7] => ([(0,1),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,2,7,8,6,5] => [5,6,8,7,2,1,3,4] => [3,4,8,7,2,1,5,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,7,3,6,4,8] => [4,8,7,2,6,3,5,1] => [5,1,6,3,8,7,2,4] => ([(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,1,4,7,8,2,3,6] => [4,8,5,2,1,7,6,3] => [7,6,3,8,5,2,1,4] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,6,8,7,1,2] => [6,4,5,3,1,2,8,7] => [2,5,3,1,6,4,8,7] => ([(0,1),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,6,8,2,3,7] => [8,4,5,3,1,7,6,2] => [7,6,2,5,3,1,8,4] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,3,2,4,8,5] => [8,3,2,6,7,5,1,4] => [4,7,5,1,6,8,3,2] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,6,2,7,8,4] => [8,4,6,3,7,2,1,5] => [5,7,2,1,6,3,8,4] => ([(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,1,3,7,2,6,8,4] => [4,8,6,2,7,3,1,5] => [5,7,3,1,8,6,2,4] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,7,8,1,6,3] => [4,7,5,2,1,8,3,6] => [6,8,3,7,5,2,1,4] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,8,2,6,7,4] => [4,6,8,1,7,3,2,5] => [5,7,3,2,8,1,4,6] => ([(0,2),(0,7),(1,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,5,7,6,8,1,2] => [5,6,4,2,3,1,8,7] => [3,1,6,4,2,5,8,7] => ([(0,1),(2,6),(3,4),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,8,3,6,4,7] => [4,7,8,1,6,3,5,2] => [5,2,6,3,8,1,4,7] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,2,1,8,7,5,6] => [6,5,7,8,1,2,4,3] => [2,4,3,8,1,6,5,7] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,6,5,4,2,1,8,3] => [2,3,4,5,7,8,1,6] => [6,8,1,2,3,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,4,8,1,3,2] => [2,3,4,5,1,8,6,7] => [5,1,2,3,4,7,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[8,7,6,5,4,2,1,9,3] => [2,3,4,5,6,8,9,1,7] => [7,9,1,2,3,4,5,6,8] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[7,6,5,8,2,1,4,3] => [2,3,4,1,7,8,5,6] => [4,1,2,3,6,8,5,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[8,5,4,3,2,1,7,6] => [1,4,5,6,7,8,2,3] => [1,3,8,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[8,6,5,4,3,2,1,9,7] => [2,4,5,6,7,8,9,1,3] => [3,9,1,2,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[7,6,5,4,3,2,1,9,8] => [3,4,5,6,7,8,9,1,2] => [2,9,1,3,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[7,6,5,4,1,8,3,2] => [2,3,4,5,8,1,6,7] => [6,7,8,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[9,8,7,6,5,4,2,1,10,3] => [2,3,4,5,6,7,9,10,1,8] => [8,10,1,2,3,4,5,6,7,9] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[7,6,5,2,8,1,4,3] => [2,3,4,7,1,8,5,6] => [6,8,5,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[7,6,5,8,4,1,3,2] => [2,3,4,1,5,8,6,7] => [4,1,2,3,5,7,8,6] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[7,6,8,5,2,1,4,3] => [2,3,1,4,7,8,5,6] => [3,1,2,4,6,8,5,7] => ([(1,7),(2,6),(3,5),(4,5),(6,7)],8)
[7,8,6,3,2,1,5,4] => [2,1,3,6,7,8,4,5] => [2,1,3,5,8,4,6,7] => ([(1,2),(3,7),(4,7),(5,6),(6,7)],8)
[8,7,4,3,2,1,6,5] => [1,2,5,6,7,8,3,4] => [1,2,4,8,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[9,6,5,4,3,2,1,8,7] => [1,4,5,6,7,8,9,2,3] => [1,3,9,2,4,5,6,7,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[9,7,6,5,4,3,2,1,10,8] => [2,4,5,6,7,8,9,10,1,3] => [3,10,1,2,4,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[6,2,7,4,5,1,3,8] => [3,7,2,5,4,8,6,1] => [8,6,1,5,4,7,2,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,7,5,2,8,4] => [8,6,3,2,4,7,1,5] => [5,7,1,4,8,6,3,2] => ([(0,4),(0,5),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,7,5,1,8,4] => [7,6,3,2,4,8,1,5] => [5,8,1,4,7,6,3,2] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,1,5,4,6,8,3,2] => [2,8,4,5,3,1,6,7] => [5,3,1,2,6,7,8,4] => ([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,7,4,6,1,8,3,2] => [4,2,5,3,8,1,6,7] => [6,7,8,1,5,3,4,2] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,1,7,5,2,3] => [5,1,3,8,2,4,7,6] => [4,7,6,8,2,3,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,7,3,5,8,6,4] => [7,8,2,6,4,1,3,5] => [3,5,6,4,1,8,2,7] => ([(0,2),(1,5),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,7,3,6,8,4,5] => [7,8,2,6,3,1,5,4] => [5,4,6,3,1,8,2,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,8,3,5,7,4,6] => [7,8,1,6,4,2,5,3] => [5,3,6,4,2,8,1,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,4,5,6,7] => [6,7,8,1,5,4,3,2] => [5,4,3,2,8,1,6,7] => ([(0,2),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,2,5,4,6,3] => [1,2,8,7,4,5,3,6] => [1,2,5,3,6,8,7,4] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,9,8,7,6,5,4,1,3] => [8,1,2,3,4,5,6,9,7] => [2,3,4,5,6,9,7,8,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[2,8,7,6,5,1,4,3] => [7,1,2,3,4,8,5,6] => [2,3,4,6,8,5,7,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,4,8,2,5,7] => [6,8,3,5,1,7,4,2] => [7,4,2,5,1,8,3,6] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,2,6,8,5,1,4] => [2,6,7,3,1,4,8,5] => [4,8,5,7,3,1,2,6] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,3,6,7,1,2] => [5,4,1,6,3,2,8,7] => [6,3,2,5,4,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,3,7,6,1,2] => [5,4,1,6,2,3,8,7] => [3,6,2,5,4,1,8,7] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,3,7,1,6,5] => [5,7,1,6,2,8,3,4] => [4,8,3,6,2,7,1,5] => ([(0,1),(0,6),(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,4,8,1,6,5] => [2,7,6,5,1,8,3,4] => [4,8,3,7,6,5,1,2] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,3,4,8,1,5,6] => [2,7,6,5,1,8,4,3] => [8,4,3,7,6,5,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,3,4,8,5,1,2] => [2,3,6,5,1,4,8,7] => [4,6,5,1,2,3,8,7] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,5,8,4,1,2] => [2,3,6,4,1,5,8,7] => [5,6,4,1,2,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,3,8,4,5,1,2] => [2,3,6,1,5,4,8,7] => [5,4,6,1,2,3,8,7] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,8,1,5,7,3] => [7,3,5,1,8,4,2,6] => [6,8,4,2,5,1,7,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,8,2,3,6,1,4,5] => [2,1,7,6,3,8,5,4] => [2,1,8,5,4,7,6,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,3,6,1,5,4] => [2,1,7,6,3,8,4,5] => [2,1,5,8,4,7,6,3] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,3,7,1,5,8] => [5,7,3,6,2,8,4,1] => [8,4,1,6,2,7,3,5] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,5,8,1,6,4] => [2,7,6,4,1,8,3,5] => [5,8,3,7,6,4,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,1,2,3,8,4] => [2,3,4,8,7,6,1,5] => [5,8,7,6,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,4,2,8,3] => [2,3,4,8,5,7,1,6] => [6,7,1,2,3,4,8,5] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,4,5,1,8,7,3] => [7,3,5,4,8,1,2,6] => [2,6,8,1,5,4,7,3] => ([(0,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,8,5,4,1,2,6,3] => [2,1,4,5,8,7,3,6] => [2,1,6,8,7,3,4,5] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,4,1,2,8,7] => [6,4,3,5,8,7,1,2] => [2,8,7,1,5,6,4,3] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,4,2,3,8] => [2,3,4,8,5,7,6,1] => [7,6,1,2,3,4,8,5] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,2,4,3,8] => [2,3,4,8,7,5,6,1] => [6,1,2,3,4,8,7,5] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[7,6,5,1,2,4,8,3] => [2,3,4,8,7,5,1,6] => [6,8,7,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,3,2,8,4] => [2,3,4,8,6,7,1,5] => [5,7,1,2,3,4,8,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)
[7,6,5,1,3,2,4,8] => [2,3,4,8,6,7,5,1] => [7,5,1,2,3,4,8,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,5,1,3,4,2,8] => [2,3,4,8,6,5,7,1] => [7,1,2,3,4,8,6,5] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,2,3,4,5,1,8,6] => [2,7,6,5,4,8,1,3] => [3,8,1,2,7,6,5,4] => ([(0,2),(0,7),(1,2),(1,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,3,1,5,8,7] => [7,3,5,6,8,4,1,2] => [2,8,4,1,5,6,7,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,4,3,1,8,5,7] => [7,3,5,6,8,1,4,2] => [4,2,8,1,5,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[2,6,4,3,1,8,7,5] => [7,3,5,6,8,1,2,4] => [2,4,8,1,5,6,7,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,2,8,3,6,1,7,5] => [5,7,1,6,3,8,2,4] => [4,8,2,6,3,7,1,5] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,2,1,7,8,5] => [6,3,5,7,8,2,1,4] => [4,8,2,1,5,6,3,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,6,5,1,4,3,8,2] => [2,3,4,8,5,6,1,7] => [6,1,2,3,4,7,8,5] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[7,6,5,1,2,8,4,3] => [2,3,4,8,7,1,5,6] => [5,6,8,7,1,2,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,2,8,3,4] => [2,3,4,8,7,1,6,5] => [6,5,8,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8)
[7,6,5,1,8,2,4,3] => [2,3,4,8,1,7,5,6] => [6,7,5,8,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,5,1,8,2,3,4] => [2,3,4,8,1,7,6,5] => [7,6,5,8,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,8,3,2,4] => [2,3,4,8,1,6,7,5] => [7,5,6,8,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,5,1,4,8,2,3] => [2,3,4,8,5,1,7,6] => [7,6,8,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,5,1,7,2,8] => [6,3,5,4,8,2,7,1] => [7,1,8,2,5,4,6,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,4,1,6,3,2] => [2,1,4,5,8,3,6,7] => [2,1,6,7,8,3,4,5] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,6,4,5,1,7,8,2] => [6,3,5,4,8,2,1,7] => [7,8,2,1,5,4,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,1,4,8,3,2] => [2,3,4,8,5,1,6,7] => [6,7,8,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,5,1,8,3,4,2] => [2,3,4,8,1,6,5,7] => [6,5,7,8,1,2,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,8,4,2,3] => [2,3,4,8,1,5,7,6] => [5,7,6,8,1,2,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,1,8,6,5,3] => [2,5,7,8,1,3,4,6] => [3,4,6,8,1,2,5,7] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,6,8,1,5,2,4,7] => [6,3,1,8,4,7,5,2] => [7,5,2,8,4,6,3,1] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,3,5,1,4,2] => [2,3,1,6,4,8,5,7] => [3,1,2,7,8,5,6,4] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,9,6,7,4,5,2,3,1] => [2,1,4,3,6,5,8,7,9] => [2,1,4,3,6,5,8,7,9] => ([(1,8),(2,7),(3,6),(4,5)],9)
[7,8,3,5,6,1,4,2] => [2,1,6,4,3,8,5,7] => [2,1,7,8,5,6,4,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,8,2,1,5,3] => [3,2,5,1,7,8,4,6] => [6,8,4,5,1,3,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,7,4,1,5,3,8,2] => [3,2,5,8,4,6,1,7] => [6,1,3,2,7,8,4,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,8,2,5,7,4,6] => [6,8,1,7,4,2,5,3] => [5,3,7,4,2,8,1,6] => ([(0,1),(0,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,1,4,7,5] => [1,6,7,3,8,5,2,4] => [1,4,8,5,2,7,3,6] => ([(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,6,4,3,7,5] => [7,1,8,3,5,6,2,4] => [4,6,2,5,8,3,7,1] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,1,3,8,6,4] => [7,4,2,8,6,1,3,5] => [3,5,8,6,1,7,4,2] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,8,1,7,6,5,4,3] => [7,1,8,2,3,4,5,6] => [3,4,5,6,8,2,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,2,8,6,5,3] => [5,8,2,7,1,3,4,6] => [3,4,6,7,1,8,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,7,1,8,6,5,4,2] => [6,2,8,1,3,4,5,7] => [3,4,5,7,8,1,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,7,6,1,4,2,5,8] => [6,2,3,8,5,7,4,1] => [7,4,1,3,8,5,6,2] => ([(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,5,1,4,7,2] => [6,3,1,4,8,5,2,7] => [7,8,5,2,4,6,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,5,8,2,1,4,6] => [2,6,4,1,7,8,5,3] => [8,5,3,6,4,1,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,6,2,1,4,5,8] => [2,6,3,7,8,5,4,1] => [8,5,4,1,2,6,3,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,8,1,6,5,3] => [2,5,7,1,8,3,4,6] => [4,6,8,3,7,1,2,5] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,3,2,1,6,4] => [1,2,4,6,7,8,3,5] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,2,6,3,1,4,8] => [2,4,7,3,6,8,5,1] => [8,5,1,2,6,7,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,2,1,8,3,5] => [2,5,3,7,8,1,6,4] => [6,4,8,1,2,5,3,7] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[6,8,4,5,2,1,7,3] => [3,1,5,4,7,8,2,6] => [6,8,2,3,1,5,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,8,5,1,7,3,2] => [5,3,1,4,8,2,6,7] => [6,7,8,2,4,5,3,1] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,1,3,8,6,2] => [5,2,4,8,6,1,3,7] => [3,7,8,6,1,4,5,2] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,6,4,2,8,3] => [4,8,2,3,5,7,1,6] => [6,7,1,3,5,8,2,4] => ([(0,6),(0,7),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,8,7,6,4,3,2] => [4,8,1,2,3,5,6,7] => [2,3,5,6,7,8,1,4] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,2,1,7,6,4,3] => [1,4,7,8,2,3,5,6] => [1,3,5,6,8,2,4,7] => ([(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,2,1,6,3,7,4] => [1,4,7,8,3,6,2,5] => [1,5,6,2,8,3,4,7] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,8,6,3,2,7,4] => [4,8,1,3,6,7,2,5] => [5,7,2,3,6,8,1,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,1,8,6,3,7,2,5] => [5,8,1,3,6,2,7,4] => [7,4,6,2,3,8,1,5] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,5,7,3,1,6] => [1,5,7,4,2,6,8,3] => [1,8,3,6,7,4,2,5] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,8,5,7,1,2] => [6,5,3,1,4,2,8,7] => [4,2,6,5,3,1,8,7] => ([(0,1),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,2,7,3,6,1] => [4,5,1,7,2,6,3,8] => [6,3,7,2,5,1,4,8] => ([(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,7,3,6,2,1] => [1,4,5,2,6,3,7,8] => [1,6,3,5,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,2,4,8,1,5] => [3,6,2,7,5,1,8,4] => [8,4,7,5,1,6,2,3] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,4,2,7,3,1] => [4,3,1,5,7,2,6,8] => [6,7,2,4,3,1,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,2,8,1,3,6] => [4,2,5,7,1,8,6,3] => [8,6,3,7,1,4,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,2,7,1,3,8,4] => [3,4,7,2,8,6,1,5] => [5,8,6,1,7,2,3,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,6,5,4,2,1,7,3] => [1,3,4,5,7,8,2,6] => [1,6,8,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,3,1,8,2,5] => [3,5,2,6,8,1,7,4] => [7,4,8,1,5,2,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,7,4,3,8,6,1,2] => [4,2,5,6,1,3,8,7] => [3,6,1,4,2,5,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,5,8,4,6,3,2,1] => [2,4,1,5,3,6,7,8] => [5,3,4,1,2,6,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,5,3,8,2,4,1] => [2,3,4,6,1,7,5,8] => [7,5,6,1,2,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,3,4,5,2,6,7] => [1,8,6,5,4,7,3,2] => [1,7,3,2,8,6,5,4] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,2,4,5,6,7] => [1,8,6,7,5,4,3,2] => [1,7,5,4,3,2,8,6] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,9,10,1,2,3,4] => [6,5,4,3,2,1,10,9,8,7] => [6,5,4,3,2,1,10,9,8,7] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,5,8,7,1,4,3,2] => [3,4,1,2,8,5,6,7] => [2,4,1,3,6,7,8,5] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[7,8,2,1,6,5,4,3] => [2,1,7,8,3,4,5,6] => [2,1,4,5,6,8,3,7] => ([(0,1),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[6,5,3,1,8,7,4,2] => [3,4,6,8,1,2,5,7] => [2,5,7,8,1,3,4,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,4,3,1,8,7,5,2] => [3,5,6,8,1,2,4,7] => [2,4,7,8,1,3,5,6] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,4,3,1,8,7,6,2] => [4,5,6,8,1,2,3,7] => [2,3,7,8,1,4,5,6] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,2,1,8,6,4,3] => [2,4,7,8,1,3,5,6] => [3,5,6,8,1,2,4,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,3,2,1,8,6,5,4] => [2,6,7,8,1,3,4,5] => [3,4,5,8,1,2,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[9,7,5,3,1,10,8,6,4,2] => [2,4,6,8,10,1,3,5,7,9] => [3,5,7,9,10,1,2,4,6,8] => ([(0,8),(0,9),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,7,5,3,1,10,9,6,4,2] => [3,4,6,8,10,1,2,5,7,9] => [2,5,7,9,10,1,3,4,6,8] => ([(0,9),(1,7),(1,8),(2,5),(2,6),(2,9),(3,4),(3,7),(3,8),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[9,6,5,3,1,10,8,7,4,2] => [2,5,6,8,10,1,3,4,7,9] => [3,4,7,9,10,1,2,5,6,8] => ([(0,6),(0,7),(1,8),(1,9),(2,8),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,6,5,3,1,10,9,7,4,2] => [3,5,6,8,10,1,2,4,7,9] => [2,4,7,9,10,1,3,5,6,8] => ([(0,9),(1,7),(1,8),(2,6),(2,9),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[9,7,4,3,1,10,8,6,5,2] => [2,4,7,8,10,1,3,5,6,9] => [3,5,6,9,10,1,2,4,7,8] => ([(0,6),(0,7),(1,8),(1,9),(2,8),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,7,4,3,1,10,9,6,5,2] => [3,4,7,8,10,1,2,5,6,9] => [2,5,6,9,10,1,3,4,7,8] => ([(0,9),(1,7),(1,8),(2,7),(2,8),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[9,6,4,3,1,10,8,7,5,2] => [2,5,7,8,10,1,3,4,6,9] => [3,4,6,9,10,1,2,5,7,8] => ([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[8,6,4,3,1,10,9,7,5,2] => [3,5,7,8,10,1,2,4,6,9] => [2,4,6,9,10,1,3,5,7,8] => ([(0,9),(1,7),(1,8),(2,7),(2,8),(3,6),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[9,7,5,2,1,10,8,6,4,3] => [2,4,6,9,10,1,3,5,7,8] => [3,5,7,8,10,1,2,4,6,9] => ([(0,9),(1,7),(1,8),(2,5),(2,6),(2,9),(3,4),(3,7),(3,8),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[8,7,5,2,1,10,9,6,4,3] => [3,4,6,9,10,1,2,5,7,8] => [2,5,7,8,10,1,3,4,6,9] => ([(0,9),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[9,6,5,2,1,10,8,7,4,3] => [2,5,6,9,10,1,3,4,7,8] => [3,4,7,8,10,1,2,5,6,9] => ([(0,9),(1,7),(1,8),(2,7),(2,8),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[8,6,5,2,1,10,9,7,4,3] => [3,5,6,9,10,1,2,4,7,8] => [2,4,7,8,10,1,3,5,6,9] => ([(0,9),(1,8),(2,7),(2,9),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[9,7,4,2,1,10,8,6,5,3] => [2,4,7,9,10,1,3,5,6,8] => [3,5,6,8,10,1,2,4,7,9] => ([(0,9),(1,7),(1,8),(2,6),(2,9),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[8,7,4,2,1,10,9,6,5,3] => [3,4,7,9,10,1,2,5,6,8] => [2,5,6,8,10,1,3,4,7,9] => ([(0,9),(1,8),(2,7),(2,9),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[9,6,4,2,1,10,8,7,5,3] => [2,5,7,9,10,1,3,4,6,8] => [3,4,6,8,10,1,2,5,7,9] => ([(0,9),(1,7),(1,8),(2,7),(2,8),(3,6),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[8,6,4,2,1,10,9,7,5,3] => [3,5,7,9,10,1,2,4,6,8] => [2,4,6,8,10,1,3,5,7,9] => ([(0,9),(1,8),(2,7),(2,8),(3,6),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[11,9,7,5,3,1,12,10,8,6,4,2] => [2,4,6,8,10,12,1,3,5,7,9,11] => [3,5,7,9,11,12,1,2,4,6,8,10] => ([(0,10),(0,11),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,9,7,5,3,1,12,11,8,6,4,2] => [3,4,6,8,10,12,1,2,5,7,9,11] => [2,5,7,9,11,12,1,3,4,6,8,10] => ([(0,11),(1,9),(1,10),(2,7),(2,8),(2,11),(3,6),(3,9),(3,10),(4,5),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[11,8,7,5,3,1,12,10,9,6,4,2] => [2,5,6,8,10,12,1,3,4,7,9,11] => [3,4,7,9,11,12,1,2,5,6,8,10] => ([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,8,7,5,3,1,12,11,9,6,4,2] => [3,5,6,8,10,12,1,2,4,7,9,11] => [2,4,7,9,11,12,1,3,5,6,8,10] => ([(0,11),(1,8),(1,11),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,6),(4,8),(4,11),(5,7),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[11,9,6,5,3,1,12,10,8,7,4,2] => [2,4,7,8,10,12,1,3,5,6,9,11] => [3,5,6,9,11,12,1,2,4,7,8,10] => ([(0,10),(0,11),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,9,6,5,3,1,12,11,8,7,4,2] => [3,4,7,8,10,12,1,2,5,6,9,11] => [2,5,6,9,11,12,1,3,4,7,8,10] => ([(0,11),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[11,8,6,5,3,1,12,10,9,7,4,2] => [2,5,7,8,10,12,1,3,4,6,9,11] => [3,4,6,9,11,12,1,2,5,7,8,10] => ([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,8,6,5,3,1,12,11,9,7,4,2] => [3,5,7,8,10,12,1,2,4,6,9,11] => [2,4,6,9,11,12,1,3,5,7,8,10] => ([(0,11),(1,8),(1,11),(2,9),(2,10),(3,7),(3,9),(3,10),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[11,9,7,4,3,1,12,10,8,6,5,2] => [2,4,6,9,10,12,1,3,5,7,8,11] => [3,5,7,8,11,12,1,2,4,6,9,10] => ([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,9,7,4,3,1,12,11,8,6,5,2] => [3,4,6,9,10,12,1,2,5,7,8,11] => [2,5,7,8,11,12,1,3,4,6,9,10] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,7),(3,8),(3,11),(4,5),(4,6),(4,9),(4,10),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[11,8,7,4,3,1,12,10,9,6,5,2] => [2,5,6,9,10,12,1,3,4,7,8,11] => [3,4,7,8,11,12,1,2,5,6,9,10] => ([(0,10),(0,11),(1,8),(1,9),(2,8),(2,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,8,7,4,3,1,12,11,9,6,5,2] => [3,5,6,9,10,12,1,2,4,7,8,11] => [2,4,7,8,11,12,1,3,5,6,9,10] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,8),(3,11),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[11,9,6,4,3,1,12,10,8,7,5,2] => [2,4,7,9,10,12,1,3,5,6,8,11] => [3,5,6,8,11,12,1,2,4,7,9,10] => ([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[10,9,6,4,3,1,12,11,8,7,5,2] => [3,4,7,9,10,12,1,2,5,6,8,11] => [2,5,6,8,11,12,1,3,4,7,9,10] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,7),(3,8),(3,11),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[11,8,6,4,3,1,12,10,9,7,5,2] => [2,5,7,9,10,12,1,3,4,6,8,11] => [3,4,6,8,11,12,1,2,5,7,9,10] => ([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[10,8,6,4,3,1,12,11,9,7,5,2] => [3,5,7,9,10,12,1,2,4,6,8,11] => [2,4,6,8,11,12,1,3,5,7,9,10] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,8),(3,11),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[11,9,7,5,2,1,12,10,8,6,4,3] => [2,4,6,8,11,12,1,3,5,7,9,10] => [3,5,7,9,10,12,1,2,4,6,8,11] => ([(0,11),(1,9),(1,10),(2,7),(2,8),(2,11),(3,6),(3,9),(3,10),(4,5),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[10,9,7,5,2,1,12,11,8,6,4,3] => [3,4,6,8,11,12,1,2,5,7,9,10] => [2,5,7,9,10,12,1,3,4,6,8,11] => ([(0,11),(1,10),(2,8),(2,9),(2,10),(3,6),(3,7),(3,11),(4,5),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[11,8,7,5,2,1,12,10,9,6,4,3] => [2,5,6,8,11,12,1,3,4,7,9,10] => [3,4,7,9,10,12,1,2,5,6,8,11] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,7),(3,8),(3,11),(4,5),(4,6),(4,9),(4,10),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[10,8,7,5,2,1,12,11,9,6,4,3] => [3,5,6,8,11,12,1,2,4,7,9,10] => [2,4,7,9,10,12,1,3,5,6,8,11] => ([(0,11),(1,10),(2,9),(2,11),(3,7),(3,8),(3,10),(4,5),(4,6),(4,9),(4,11),(5,7),(5,8),(5,10),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[11,9,6,5,2,1,12,10,8,7,4,3] => [2,4,7,8,11,12,1,3,5,6,9,10] => [3,5,6,9,10,12,1,2,4,7,8,11] => ([(0,11),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[10,9,6,5,2,1,12,11,8,7,4,3] => [3,4,7,8,11,12,1,2,5,6,9,10] => [2,5,6,9,10,12,1,3,4,7,8,11] => ([(0,11),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[11,8,6,5,2,1,12,10,9,7,4,3] => [2,5,7,8,11,12,1,3,4,6,9,10] => [3,4,6,9,10,12,1,2,5,7,8,11] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,7),(3,8),(3,11),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[10,8,6,5,2,1,12,11,9,7,4,3] => [3,5,7,8,11,12,1,2,4,6,9,10] => [2,4,6,9,10,12,1,3,5,7,8,11] => ([(0,11),(1,10),(2,9),(2,11),(3,7),(3,8),(3,10),(4,7),(4,8),(4,10),(5,6),(5,9),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[11,9,7,4,2,1,12,10,8,6,5,3] => [2,4,6,9,11,12,1,3,5,7,8,10] => [3,5,7,8,10,12,1,2,4,6,9,11] => ([(0,11),(1,8),(1,11),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,6),(4,8),(4,11),(5,7),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[10,9,7,4,2,1,12,11,8,6,5,3] => [3,4,6,9,11,12,1,2,5,7,8,10] => [2,5,7,8,10,12,1,3,4,6,9,11] => ([(0,11),(1,10),(2,9),(2,11),(3,7),(3,8),(3,10),(4,5),(4,6),(4,9),(4,11),(5,7),(5,8),(5,10),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[11,8,7,4,2,1,12,10,9,6,5,3] => [2,5,6,9,11,12,1,3,4,7,8,10] => [3,4,7,8,10,12,1,2,5,6,9,11] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,8),(3,11),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[10,8,7,4,2,1,12,11,9,6,5,3] => [3,5,6,9,11,12,1,2,4,7,8,10] => [2,4,7,8,10,12,1,3,5,6,9,11] => ([(0,11),(1,10),(2,9),(2,10),(3,8),(3,11),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[11,9,6,4,2,1,12,10,8,7,5,3] => [2,4,7,9,11,12,1,3,5,6,8,10] => [3,5,6,8,10,12,1,2,4,7,9,11] => ([(0,11),(1,8),(1,11),(2,9),(2,10),(3,7),(3,9),(3,10),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[10,9,6,4,2,1,12,11,8,7,5,3] => [3,4,7,9,11,12,1,2,5,6,8,10] => [2,5,6,8,10,12,1,3,4,7,9,11] => ([(0,11),(1,10),(2,9),(2,11),(3,7),(3,8),(3,10),(4,7),(4,8),(4,10),(5,6),(5,9),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[11,8,6,4,2,1,12,10,9,7,5,3] => [2,5,7,9,11,12,1,3,4,6,8,10] => [3,4,6,8,10,12,1,2,5,7,9,11] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,8),(3,11),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[10,8,6,4,2,1,12,11,9,7,5,3] => [3,5,7,9,11,12,1,2,4,6,8,10] => [2,4,6,8,10,12,1,3,5,7,9,11] => ([(0,11),(1,10),(2,9),(2,10),(3,8),(3,11),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[3,6,4,7,8,5,1,2] => [6,3,5,2,1,4,8,7] => [4,5,2,1,6,3,8,7] => ([(0,7),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,7,2,5,6,8,3] => [8,5,2,7,4,3,1,6] => [6,7,4,3,1,8,5,2] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,8,5,3,7,1,2] => [3,5,1,4,6,2,8,7] => [6,2,4,5,1,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,3,6,2,8,4] => [2,8,4,6,3,7,1,5] => [5,7,1,2,6,3,8,4] => ([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,4,8,5,2,1,6,7] => [6,5,1,4,7,8,3,2] => [8,3,2,4,6,5,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,3,1,6,2,7] => [5,1,4,6,8,3,7,2] => [7,2,8,3,4,5,1,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,8,7,4,2,3,5] => [3,8,1,2,5,7,6,4] => [2,7,6,4,5,8,1,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,8,5,7,3,6,4] => [8,7,1,4,2,6,3,5] => [5,6,3,4,2,8,7,1] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,8,7,5,2,4] => [8,6,3,1,2,4,7,5] => [2,4,7,5,8,6,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,5,4,7,6,3] => [8,1,7,4,5,2,3,6] => [3,5,2,6,7,4,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,2,5,7,8,4] => [3,8,6,7,4,2,1,5] => [5,7,4,2,1,3,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,2,3,7,8,1,5] => [5,3,7,6,2,1,8,4] => [8,4,7,6,2,1,5,3] => ([(0,2),(0,3),(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,3,5,7,8,6] => [5,7,8,6,4,2,1,3] => [3,8,6,4,2,1,5,7] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,4,5,1,8,6] => [2,6,7,5,4,8,1,3] => [3,8,1,2,7,5,4,6] => ([(0,1),(0,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,5,4,1,7,6] => [6,1,7,4,5,8,2,3] => [3,8,2,5,7,4,6,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,2,6,3,1,5] => [2,1,5,7,3,6,8,4] => [2,1,8,4,6,7,3,5] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,3,8,7,1,5] => [5,7,3,6,1,2,8,4] => [2,8,4,6,1,7,3,5] => ([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,5,1,7,2,6] => [5,6,1,4,8,2,7,3] => [7,3,8,2,4,6,1,5] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,6,8,1,2,7,5] => [5,6,3,1,8,7,2,4] => [4,8,7,2,6,3,1,5] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,5,2,8,1,7] => [3,5,6,4,7,1,8,2] => [8,2,7,1,3,6,4,5] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,3,8,5,7,6] => [7,5,8,6,1,4,2,3] => [3,4,2,8,6,1,7,5] => ([(0,3),(0,7),(1,3),(1,7),(2,4),(2,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,1,3,5,8,7,6] => [7,5,8,6,4,1,2,3] => [2,3,8,6,4,1,7,5] => ([(0,6),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,3,6,5,7,8] => [5,7,8,6,3,4,2,1] => [4,2,1,8,6,3,5,7] => ([(0,7),(1,2),(1,4),(2,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,8,3,6,5,7,4] => [7,8,1,6,3,4,2,5] => [4,2,5,6,3,8,1,7] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,4,5,7,2,1] => [6,3,1,5,4,2,7,8] => [5,4,2,6,3,1,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,5,4,6,8,2] => [6,2,8,4,5,3,1,7] => [5,3,1,7,8,4,6,2] => ([(0,4),(0,6),(1,2),(1,3),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,4,5,3,8,2] => [3,2,8,5,4,6,1,7] => [6,1,3,2,7,8,5,4] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,1,5,4,2,7,8] => [6,3,8,4,5,7,2,1] => [7,2,1,5,8,4,6,3] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,2,6,8,7,5] => [6,5,8,7,3,1,2,4] => [2,4,8,7,3,1,6,5] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,5,4,2,7,6] => [6,1,8,4,5,7,2,3] => [3,7,2,5,8,4,6,1] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[9,8,7,6,5,4,2,1,3] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,7,8] => ([(6,8),(7,8)],9)
[9,8,7,6,5,3,2,1,4] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,9,6,7,8] => ([(5,8),(6,8),(7,8)],9)
[8,7,6,3,5,2,1,4] => [1,2,3,6,4,7,8,5] => [1,2,3,8,5,6,4,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[9,8,7,6,4,3,2,1,5] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,9,5,6,7,8] => ([(4,8),(5,8),(6,8),(7,8)],9)
[9,8,7,5,4,3,2,1,6] => [1,2,3,5,6,7,8,9,4] => [1,2,3,9,4,5,6,7,8] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,5,7,4,3,2,1,6] => [1,4,2,5,6,7,8,3] => [1,8,3,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[9,8,6,5,4,3,2,1,7] => [1,2,4,5,6,7,8,9,3] => [1,2,9,3,4,5,6,7,8] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,7,6,5,4,3,2,1,8] => [1,3,4,5,6,7,8,9,2] => [1,9,2,3,4,5,6,7,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,8,7,6,5,4,1,3,2] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,8,9,7] => ([(6,8),(7,8)],9)
[10,9,8,7,6,5,4,2,1,3] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,10,8,9] => ([(7,9),(8,9)],10)
[9,8,7,6,5,2,4,1,3] => [1,2,3,4,5,8,6,9,7] => [1,2,3,4,5,9,7,8,6] => ([(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[10,9,8,7,6,5,3,2,1,4] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,10,7,8,9] => ([(6,9),(7,9),(8,9)],10)
[10,9,8,7,6,4,3,2,1,5] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,10,6,7,8,9] => ([(5,9),(6,9),(7,9),(8,9)],10)
[8,7,6,2,5,4,1,3] => [1,2,3,7,4,5,8,6] => [1,2,3,5,8,6,7,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[10,9,8,7,5,4,3,2,1,6] => [1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,10,5,6,7,8,9] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[10,9,8,6,5,4,3,2,1,7] => [1,2,3,5,6,7,8,9,10,4] => [1,2,3,10,4,5,6,7,8,9] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[6,5,8,4,3,2,1,7] => [3,4,1,5,6,7,8,2] => [8,2,4,1,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[10,9,7,6,5,4,3,2,1,8] => [1,2,4,5,6,7,8,9,10,3] => [1,2,10,3,4,5,6,7,8,9] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[5,8,7,4,3,2,1,6] => [4,1,2,5,6,7,8,3] => [2,8,3,4,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[10,8,7,6,5,4,3,2,1,9] => [1,3,4,5,6,7,8,9,10,2] => [1,10,2,3,4,5,6,7,8,9] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[4,3,7,8,6,5,1,2] => [5,6,2,1,3,4,8,7] => [3,4,6,2,1,5,8,7] => ([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,2,5,8,6,3] => [5,8,2,7,4,1,3,6] => [3,6,7,4,1,8,2,5] => ([(0,6),(0,7),(1,2),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,1,5,6,4,3] => [2,1,7,8,4,3,5,6] => [2,1,5,6,8,4,3,7] => ([(0,1),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,5,8,4,3,7] => [8,3,7,4,1,5,6,2] => [6,2,5,7,4,1,8,3] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,7,4,5,3,6] => [7,8,1,2,5,4,6,3] => [2,6,3,5,4,8,1,7] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,6,8,5,2,4] => [2,6,8,3,1,4,7,5] => [4,7,5,8,3,1,2,6] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,6,2,3,7,4] => [8,4,1,3,7,6,2,5] => [5,7,6,2,3,8,4,1] => ([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,1,8,6,3,4] => [4,7,2,8,1,3,6,5] => [3,6,5,8,1,7,2,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[2,8,3,5,1,7,4,6] => [7,1,6,4,8,2,5,3] => [5,3,8,2,6,4,7,1] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,8,7,1,6,2] => [4,5,6,1,2,8,3,7] => [2,7,8,3,6,1,4,5] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,4,3,7,2,6,1] => [1,4,5,6,2,7,3,8] => [1,7,3,6,2,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,5,1,7,4,3] => [7,1,3,4,8,2,5,6] => [5,6,8,2,3,4,7,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,4,1,7,5,6] => [7,1,6,5,8,2,4,3] => [4,3,8,2,6,5,7,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,3,1,7,6] => [4,5,7,1,6,8,2,3] => [3,8,2,6,7,1,4,5] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,3,1,7,6,5] => [7,1,5,6,8,2,3,4] => [3,4,8,2,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,3,1,7,6,4] => [7,1,4,6,8,2,3,5] => [3,5,8,2,4,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,4,1,7,5,3] => [7,1,3,5,8,2,4,6] => [4,6,8,2,3,5,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,6,2,1,5,3] => [2,5,1,3,7,8,4,6] => [3,6,8,4,5,1,2,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,8,5,2,1,6,4] => [2,6,1,4,7,8,3,5] => [5,8,3,4,6,1,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,4,3,8,2,1,6] => [2,4,5,6,1,7,8,3] => [8,3,6,1,2,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,4,1,2,6,5] => [6,2,1,5,8,7,3,4] => [4,8,7,3,5,6,2,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,5,1,2,6,4] => [6,2,1,4,8,7,3,5] => [5,8,7,3,4,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,6,3,5,2,1] => [1,2,5,3,6,4,7,8] => [1,2,6,4,5,3,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,1,2,4,3] => [4,2,1,3,8,7,5,6] => [3,4,2,1,6,8,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[7,3,4,8,2,1,5,6] => [2,6,5,1,7,8,4,3] => [8,4,3,6,5,1,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,4,8,3,2,1,5] => [2,3,5,1,6,7,8,4] => [8,4,5,1,2,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,8,6,2,1,4,3] => [2,4,1,3,7,8,5,6] => [3,4,1,2,6,8,5,7] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(6,7)],8)
[6,5,8,7,3,1,4,2] => [3,4,1,2,6,8,5,7] => [2,4,1,3,7,8,5,6] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(6,7)],8)
[2,4,8,3,1,5,7,6] => [7,5,1,6,8,4,2,3] => [3,8,4,2,6,7,5,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,4,8,1,5,7] => [3,6,7,5,1,8,4,2] => [8,4,2,7,5,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,4,1,6,7,5] => [7,6,1,5,8,3,2,4] => [4,8,3,2,5,7,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,5,1,6,7,4] => [7,6,1,4,8,3,2,5] => [5,8,3,2,4,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,7,3,2,5,1] => [1,3,5,2,6,7,4,8] => [1,7,4,5,2,3,6,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,8,7,1,5,6,2] => [6,5,1,2,8,4,3,7] => [2,7,8,4,3,6,5,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,8,6,1,5,7,3] => [7,5,1,3,8,4,2,6] => [6,8,4,2,3,7,5,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,6,1,4,7,3] => [7,4,1,3,8,5,2,6] => [6,8,5,2,3,7,4,1] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,7,2,3,5,1] => [1,5,3,2,7,6,4,8] => [1,7,6,4,5,3,2,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,5,1,3,7,4] => [7,3,1,4,8,6,2,5] => [5,8,6,2,4,7,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,4,1,3,7,5] => [7,3,1,5,8,6,2,4] => [4,8,6,2,5,7,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,3,1,4,7,6] => [7,4,1,6,8,5,2,3] => [3,8,5,2,6,7,4,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,1,3,4,2] => [4,3,1,2,8,6,5,7] => [2,4,3,1,7,8,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6)],8)
[7,4,6,8,2,1,3,5] => [2,5,3,1,7,8,6,4] => [8,6,4,5,3,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,3,2,5,4] => [8,1,2,3,6,7,4,5] => [2,3,5,7,4,6,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,3,2,4,5] => [8,1,2,3,6,7,5,4] => [2,3,7,5,4,6,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,6,1,8,7,5] => [7,6,5,3,8,1,2,4] => [2,4,8,1,7,6,5,3] => ([(0,2),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,5,4,3,6,7] => [1,8,7,4,5,6,3,2] => [1,6,3,2,5,8,7,4] => ([(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[8,7,4,6,1,5,2,3] => [1,2,5,3,8,4,7,6] => [1,2,7,6,8,4,5,3] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,7,6,1,4,2,3] => [4,1,2,3,8,5,7,6] => [2,3,4,1,7,6,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[8,4,7,6,1,5,2,3] => [1,5,2,3,8,4,7,6] => [1,3,7,6,8,4,5,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,5,8,1,6,2,4] => [6,2,4,1,8,3,7,5] => [7,5,8,3,4,1,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,5,4,6,3,7] => [7,8,1,4,5,3,6,2] => [6,2,5,3,4,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,5,2,3,6,7] => [5,8,1,4,7,6,3,2] => [7,6,3,2,4,8,1,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,3,6,7,2,8] => [4,5,8,6,3,2,7,1] => [7,1,8,6,3,2,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,4,1,2,6,3,7,5] => [1,5,8,7,3,6,2,4] => [1,4,6,2,8,7,3,5] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[8,2,7,1,5,3,4,6] => [1,7,2,8,4,6,5,3] => [1,6,5,3,8,4,7,2] => ([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,1,5,8,4,6] => [6,7,2,8,4,1,5,3] => [5,3,8,4,1,7,2,6] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,7,1,5,4,2,8] => [3,6,2,8,4,5,7,1] => [7,1,5,8,4,6,2,3] => ([(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,1,5,4,2,6] => [2,6,1,8,4,5,7,3] => [7,3,5,8,4,6,1,2] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,1,3,6,8,2,7] => [5,4,8,6,3,1,7,2] => [7,2,8,6,3,1,5,4] => ([(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,6,3,1,5,4,2,8] => [2,3,6,8,4,5,7,1] => [7,1,2,3,5,8,4,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,6,2,1,5,8,4,7] => [6,3,7,8,4,1,5,2] => [5,2,8,4,1,6,3,7] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,6,2,1,5,3,4,7] => [1,3,7,8,4,6,5,2] => [1,6,5,2,3,8,4,7] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,3,8,1,5,7,4,6] => [7,6,1,8,4,2,5,3] => [5,3,8,4,2,7,6,1] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,2,8,6,4,5] => [2,8,6,7,1,3,5,4] => [3,5,4,7,1,2,8,6] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,2,8,3,4,5] => [2,8,3,7,1,6,5,4] => [6,5,4,7,1,2,8,3] => ([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,2,6,3,8,5] => [5,2,8,7,3,6,1,4] => [4,6,1,8,7,3,5,2] => ([(0,1),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,1,5,3,4,6] => [7,2,1,8,4,6,5,3] => [6,5,3,8,4,7,2,1] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,1,4,5,3,6] => [1,2,7,8,5,4,6,3] => [1,2,6,3,8,5,4,7] => ([(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,6,1,4,3,2] => [1,2,4,3,8,5,6,7] => [1,2,4,3,6,7,8,5] => ([(2,3),(4,7),(5,7),(6,7)],8)
[5,7,8,6,1,4,3,2] => [4,2,1,3,8,5,6,7] => [3,4,2,1,6,7,8,5] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,7,4,1,6,5,3,8] => [7,2,5,8,3,4,6,1] => [6,1,4,8,3,5,7,2] => ([(0,6),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,1,4,5,6,8,2] => [6,2,8,5,4,3,1,7] => [7,8,5,4,3,1,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,4,5,8,3,2] => [2,8,3,5,4,1,6,7] => [5,4,1,2,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,1,4,7,6,8,2] => [6,4,8,5,2,3,1,7] => [3,1,7,8,5,2,6,4] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,8,7,1,4,3,2] => [4,3,1,2,8,5,6,7] => [2,4,3,1,6,7,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[6,8,5,7,1,4,3,2] => [3,1,4,2,8,5,6,7] => [4,2,3,1,6,7,8,5] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[8,6,5,7,1,4,3,2] => [1,3,4,2,8,5,6,7] => [1,4,2,3,6,7,8,5] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[8,5,7,6,1,4,3,2] => [1,4,2,3,8,5,6,7] => [1,3,4,2,6,7,8,5] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,5,7,8,1,4,3,2] => [3,4,2,1,8,5,6,7] => [4,2,1,3,6,7,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[7,2,3,1,5,6,4,8] => [2,7,6,8,4,3,5,1] => [5,1,2,8,4,3,7,6] => ([(0,6),(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,8,1,6,5,3,7] => [5,7,1,8,3,4,6,2] => [6,2,4,8,3,7,1,5] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,4,5,6,7,2] => [1,6,8,5,4,3,2,7] => [1,7,8,5,4,3,2,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,1,4,8,6,7,2] => [4,6,8,5,1,3,2,7] => [3,2,7,8,5,1,4,6] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,6,3,4,8,2] => [2,4,8,3,6,5,1,7] => [6,5,1,2,7,8,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,8,4,6,7,2] => [4,6,8,1,5,3,2,7] => [5,3,2,7,8,1,4,6] => ([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,1,5,4,6,7,2] => [1,6,8,4,5,3,2,7] => [1,5,3,2,7,8,4,6] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,7),(5,7),(6,7)],8)
[7,2,6,1,5,3,4,8] => [2,7,3,8,4,6,5,1] => [6,5,1,2,8,4,7,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,1,5,3,4,7] => [7,1,3,8,4,6,5,2] => [6,5,2,3,8,4,7,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,5,6,3,8,7] => [5,7,8,4,3,6,1,2] => [2,6,1,8,4,3,5,7] => ([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,5,8,3,4,6] => [2,8,7,4,1,6,5,3] => [6,5,3,8,7,4,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,4,5,6,8,3,2] => [2,8,5,4,3,1,6,7] => [6,7,8,5,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,7,1,4,3,2] => [1,4,3,2,8,5,6,7] => [1,4,3,2,6,7,8,5] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[7,6,8,5,1,4,3,2] => [2,3,1,4,8,5,6,7] => [3,1,2,4,6,7,8,5] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,8,7,5,1,4,3,2] => [3,1,2,4,8,5,6,7] => [2,3,1,4,6,7,8,5] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,6,7,1,4,5,3,8] => [7,3,2,8,5,4,6,1] => [6,1,8,5,4,7,3,2] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,6,4,8,3,2] => [2,8,4,3,5,1,6,7] => [5,1,2,6,7,8,4,3] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,4,8,3,2] => [2,8,3,4,5,1,6,7] => [5,1,2,4,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[2,7,6,1,4,5,3,8] => [7,2,3,8,5,4,6,1] => [6,1,3,8,5,4,7,2] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,6,8,1,4,3,2] => [4,2,3,1,8,5,6,7] => [3,1,4,2,6,7,8,5] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[7,8,6,5,1,4,3,2] => [2,1,3,4,8,5,6,7] => [2,1,3,4,6,7,8,5] => ([(2,3),(4,7),(5,7),(6,7)],8)
[4,3,1,6,5,8,7,2] => [5,6,8,3,4,1,2,7] => [2,4,1,7,8,3,5,6] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)
[6,3,1,8,2,7,4,5] => [3,6,8,1,7,2,5,4] => [5,4,7,2,8,1,3,6] => ([(0,1),(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[8,4,1,5,6,7,3,2] => [1,5,8,4,3,2,6,7] => [1,6,7,8,4,3,2,5] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,4,1,5,3,2] => [3,2,1,5,8,4,6,7] => [3,2,1,6,7,8,4,5] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,8,4,5,3,2] => [2,8,3,1,5,4,6,7] => [5,4,6,7,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,4,6,8,1,3,2] => [4,2,5,3,1,8,6,7] => [5,3,1,4,2,7,8,6] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[8,1,5,7,4,6,3,2] => [1,8,4,2,5,3,6,7] => [1,5,3,6,7,8,4,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,6,7,5,3,2] => [8,1,5,3,2,4,6,7] => [4,5,3,2,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,4,7,5,3,2] => [3,8,1,5,2,4,6,7] => [4,5,2,6,7,8,1,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,5,8,6,1,7,3,2] => [5,4,1,3,8,2,6,7] => [6,7,8,2,3,5,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,8,5,1,6,7,3,2] => [5,1,4,8,3,2,6,7] => [6,7,8,3,2,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,4,5,6,7,3,2] => [1,8,5,4,3,2,6,7] => [1,6,7,8,5,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,6,1,5,7,3] => [1,5,7,3,8,4,2,6] => [1,6,8,4,2,7,3,5] => ([(1,2),(1,5),(1,7),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,5,2,1,6,7,3] => [5,1,4,7,8,3,2,6] => [6,8,3,2,4,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,8,4,6,2,5,3,7] => [8,1,5,3,7,4,6,2] => [6,2,7,4,5,3,8,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,4,6,2,5,7] => [1,6,8,5,3,7,4,2] => [1,7,4,2,8,5,3,6] => ([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,1,2,8,4,7,6] => [6,4,8,7,1,5,2,3] => [3,5,2,8,7,1,6,4] => ([(0,3),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,5,8,6,1,7,4] => [7,6,4,1,3,8,2,5] => [5,8,2,3,7,6,4,1] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,3,6,7,1,5] => [1,7,5,6,3,2,8,4] => [1,8,4,6,3,2,7,5] => ([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,5,7,1,6,4] => [6,7,1,4,2,8,3,5] => [5,8,3,4,2,7,1,6] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,8,4,7,5,3] => [3,7,8,1,5,2,4,6] => [4,5,2,6,8,1,3,7] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,7,1,4,6,5,3] => [7,1,2,8,5,3,4,6] => [2,4,6,8,5,3,7,1] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,5,4,6,3] => [1,7,2,8,4,5,3,6] => [1,5,3,6,8,4,7,2] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,3,6,8,1,4] => [2,7,4,6,3,1,8,5] => [8,5,6,3,1,2,7,4] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,1,6,2,4,8] => [6,2,4,8,3,7,5,1] => [7,5,1,8,3,4,6,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,7,2,4,1,6,5,3] => [1,2,7,5,8,3,4,6] => [1,2,4,6,8,3,7,5] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,8,2,6,4,3,5] => [8,2,1,7,3,5,6,4] => [6,4,5,7,3,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,8,2,6,4,5] => [8,2,6,1,7,3,5,4] => [5,4,7,3,6,1,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,3,6,4,5,8] => [8,7,2,6,3,5,4,1] => [5,4,1,6,3,8,7,2] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,7,2,5,4,6] => [8,1,6,2,7,4,5,3] => [5,3,7,4,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,7,3,2,5,6] => [1,8,5,2,6,7,4,3] => [1,7,4,3,6,8,5,2] => ([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,2,3,5,6,8] => [2,8,5,7,6,4,3,1] => [7,6,4,3,1,2,8,5] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,4,7,3,5,6] => [1,7,8,5,2,6,4,3] => [1,6,4,3,8,5,2,7] => ([(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,3,8,4,6,7,5] => [7,8,6,1,5,3,2,4] => [4,5,3,2,8,6,1,7] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,8,5,7,6] => [8,7,6,5,1,4,2,3] => [3,4,2,8,7,6,5,1] => ([(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,8,4,7,6,1] => [7,4,6,1,5,2,3,8] => [3,5,2,6,1,7,4,8] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,8,5,7,3,6,4,1] => [7,1,4,2,6,3,5,8] => [5,6,3,4,2,7,1,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,5,2,7,6,4] => [6,8,1,4,7,2,3,5] => [3,5,7,2,4,8,1,6] => ([(0,1),(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,7,1,6,4,2] => [1,6,4,2,8,3,5,7] => [1,5,7,8,3,6,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,6,1,4,5,7,2] => [1,6,3,8,5,4,2,7] => [1,7,8,5,4,2,6,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,8,3,4,5,7,1] => [7,3,1,6,5,4,2,8] => [6,5,4,2,7,3,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,7,2,6,4,5] => [6,8,1,2,7,3,5,4] => [2,5,4,7,3,8,1,6] => ([(0,7),(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,6,1,4,5,2] => [1,6,2,3,8,5,4,7] => [1,3,7,8,5,4,6,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,1,7,2,3,6,5] => [5,1,8,2,7,6,3,4] => [4,7,6,3,8,2,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,2,3,6,5,8] => [5,8,2,7,6,3,4,1] => [4,1,7,6,3,8,2,5] => ([(0,3),(1,2),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,8,2,6,4,5] => [6,2,8,1,7,3,5,4] => [5,4,7,3,8,1,6,2] => ([(0,1),(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,6,1,4,5,2] => [2,1,6,3,8,5,4,7] => [2,1,7,8,5,4,6,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,1,2,3,4,8,6] => [2,4,8,7,6,5,1,3] => [3,8,7,6,5,1,2,4] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,1,2,8,3,5] => [2,5,3,8,7,1,6,4] => [6,4,8,7,1,2,5,3] => ([(0,1),(0,2),(0,4),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,2,8,5,7,3] => [3,5,8,7,1,4,2,6] => [4,2,6,8,7,1,3,5] => ([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,1,2,3,6,4,8] => [4,2,8,7,6,3,5,1] => [5,1,8,7,6,3,4,2] => ([(0,1),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,8,1,2,7,4,5] => [6,3,1,8,7,2,5,4] => [5,4,8,7,2,6,3,1] => ([(0,1),(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,1,2,3,7,5] => [5,1,3,8,7,6,2,4] => [4,8,7,6,2,3,5,1] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,1,2,3,7,5] => [1,5,3,8,7,6,2,4] => [1,4,8,7,6,2,5,3] => ([(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,5,2,7,3,6] => [5,1,8,4,7,2,6,3] => [6,3,7,2,8,4,5,1] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,8,2,7,6,3] => [4,5,8,1,7,2,3,6] => [3,6,7,2,8,1,4,5] => ([(0,6),(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,8,2,7,3,6] => [4,5,8,1,7,2,6,3] => [6,3,7,2,8,1,4,5] => ([(0,2),(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,4,1,2,5,3] => [1,3,2,5,8,7,4,6] => [1,3,2,6,8,7,4,5] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,1,2,5,3,7] => [3,5,1,8,7,4,6,2] => [6,2,8,7,4,5,1,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,7,1,4,2] => [4,3,6,1,2,8,5,7] => [2,7,8,5,6,1,4,3] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,1,6,8,2,7,3] => [4,5,8,3,1,7,2,6] => [6,7,2,8,3,1,4,5] => ([(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,4,1,2,8,3,5] => [3,2,5,8,7,1,6,4] => [6,4,8,7,1,3,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,5,1,2,3,7,8,4] => [3,4,8,7,6,2,1,5] => [5,8,7,6,2,1,3,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,2,3,4,8,7] => [3,4,8,7,6,5,1,2] => [2,8,7,6,5,1,3,4] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,1,2,3,7,4] => [1,3,4,8,7,6,2,5] => [1,5,8,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,2,3,7,4,8] => [3,4,8,7,6,2,5,1] => [5,1,8,7,6,2,3,4] => ([(0,4),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[7,8,6,4,1,2,5,3] => [2,1,3,5,8,7,4,6] => [2,1,3,6,8,7,4,5] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,3,5,7,1,8] => [7,5,3,6,4,2,8,1] => [8,1,6,4,2,7,5,3] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,3,7,2,5,8] => [8,5,3,6,2,7,4,1] => [7,4,1,6,2,8,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,5,3,1,7,4] => [1,3,7,4,6,8,2,5] => [1,5,8,2,3,6,7,4] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,2,3,4,5,1,7,6] => [1,7,6,5,4,8,2,3] => [1,3,8,2,7,6,5,4] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,4,2,7,5,6] => [8,1,6,5,7,2,4,3] => [4,3,7,2,6,5,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,4,1,6,7,5] => [7,1,6,5,8,3,2,4] => [4,8,3,2,6,5,7,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,4,6,1,7,5] => [6,1,7,5,3,8,2,4] => [4,8,2,7,5,3,6,1] => ([(0,1),(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,4,3,1,6,5] => [2,1,7,5,6,8,3,4] => [2,1,4,8,3,6,7,5] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,3,7,2,6,8] => [4,8,5,6,2,7,3,1] => [7,3,1,6,2,4,8,5] => ([(0,5),(1,4),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,6,2,4,7,5] => [1,8,6,3,7,5,2,4] => [1,4,7,5,2,8,6,3] => ([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,8,3,7,5,4,6] => [7,8,1,6,2,4,5,3] => [5,3,4,6,2,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,8,2,7,3,4] => [3,8,4,1,7,2,6,5] => [6,5,7,2,8,4,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,2,8,1,6,7,3] => [5,4,7,1,8,3,2,6] => [6,8,3,2,7,1,5,4] => ([(0,1),(0,2),(0,5),(0,7),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,5,8,1,4,7,3] => [3,7,4,1,8,5,2,6] => [6,8,5,2,7,4,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,4,6,5,3] => [1,7,2,8,5,3,4,6] => [1,4,6,8,5,3,7,2] => ([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,2,5,7,4,6] => [8,6,1,7,4,2,5,3] => [5,3,7,4,2,8,6,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,1,5,6,4,2] => [6,1,2,8,4,3,5,7] => [2,5,7,8,4,3,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,6,2,7,3,5] => [8,5,1,3,7,2,6,4] => [6,4,7,2,3,8,5,1] => ([(0,5),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,7,1,6,3,2] => [1,5,4,2,8,3,6,7] => [1,6,7,8,3,5,4,2] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,1,5,4,7,8] => [3,7,6,8,4,5,2,1] => [5,2,1,3,8,4,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8)
[7,2,3,1,4,6,5,8] => [2,7,6,8,5,3,4,1] => [4,1,2,8,5,3,7,6] => ([(0,6),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[8,2,3,1,4,5,7,6] => [1,7,6,8,5,4,2,3] => [1,3,8,5,4,2,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,3,2,4,7,6] => [1,4,8,6,7,5,2,3] => [1,3,7,5,2,4,8,6] => ([(1,5),(2,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,3,2,6,4,8] => [2,4,8,6,7,3,5,1] => [5,1,2,7,3,4,8,6] => ([(0,7),(1,7),(2,3),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,4,5,3,7,8] => [7,3,8,5,4,6,2,1] => [6,2,1,8,5,4,7,3] => ([(0,1),(0,6),(1,6),(2,3),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,1,5,2,7,8] => [6,3,5,8,4,7,2,1] => [7,2,1,8,4,5,6,3] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,1,4,2,5,3,8] => [3,2,8,5,7,4,6,1] => [6,1,3,2,7,4,8,5] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,6,1,2,4,3,7,5] => [1,3,8,7,5,6,2,4] => [1,4,6,2,3,8,7,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,7),(5,7),(6,7)],8)
[2,8,1,3,4,6,7,5] => [7,1,8,6,5,3,2,4] => [4,8,6,5,3,2,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,5,3,6,4] => [2,1,8,7,4,6,3,5] => [2,1,5,6,3,8,7,4] => ([(0,1),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,6,7,5,3,8,4] => [8,7,3,2,4,6,1,5] => [5,6,1,4,8,7,3,2] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,5,3,8,4,2] => [8,3,2,4,6,1,5,7] => [5,6,1,4,7,8,3,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,3,2,5,7,6] => [8,5,1,6,7,4,2,3] => [3,7,4,2,6,8,5,1] => ([(0,5),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,3,5,7,6,2] => [8,5,1,6,4,2,3,7] => [3,6,4,2,7,8,5,1] => ([(0,4),(0,7),(1,4),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,8,3,5,7,6] => [8,7,5,1,6,4,2,3] => [3,6,4,2,8,7,5,1] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,4,2,6,7,5] => [8,6,1,5,7,3,2,4] => [4,7,3,2,5,8,6,1] => ([(0,6),(0,7),(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,8,5,2,1] => [5,3,6,2,1,4,7,8] => [4,6,2,1,5,3,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,7,2,1,8,5,3,4] => [3,2,7,8,1,4,6,5] => [4,6,5,8,1,3,2,7] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,8,2,5,4,6,7,3] => [8,1,7,4,5,3,2,6] => [5,3,2,6,7,4,8,1] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,8,1,6,7] => [4,7,6,5,1,8,3,2] => [8,3,2,7,6,5,1,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,8,5,1,2,4] => [2,3,6,1,4,8,7,5] => [4,8,7,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,1,2,8,3] => [2,3,4,5,8,7,1,6] => [6,8,7,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,1,3,7,6,2,4,5] => [1,8,6,2,3,7,5,4] => [1,3,7,5,4,8,6,2] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,5,8,3,7,6] => [5,8,7,4,1,6,2,3] => [3,6,2,8,7,4,1,5] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,6,1,2,8,7,4,3] => [4,3,8,7,1,2,5,6] => [2,5,6,8,7,1,4,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,4,6,8,3,1,2,7] => [4,5,3,1,6,8,7,2] => [8,7,2,5,3,1,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,1,2,4,3] => [4,1,2,3,8,7,5,6] => [2,3,4,1,6,8,7,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[5,8,7,6,2,1,3,4] => [4,1,2,3,7,8,6,5] => [2,3,4,1,8,6,5,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[5,8,7,6,1,3,4,2] => [4,1,2,3,8,6,5,7] => [2,3,4,1,7,8,6,5] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,8,7,6,2,3,4,1] => [4,1,2,3,7,6,5,8] => [2,3,4,1,7,6,5,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[5,8,7,6,1,3,2,4] => [4,1,2,3,8,6,7,5] => [2,3,4,1,7,5,8,6] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[5,8,7,6,4,1,2,3] => [4,1,2,3,5,8,7,6] => [2,3,4,1,5,8,7,6] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[5,7,1,4,2,6,3,8] => [4,2,8,5,7,3,6,1] => [6,1,7,3,4,2,8,5] => ([(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,8,6,1,7,2,4,3] => [4,1,3,8,2,7,5,6] => [6,7,5,8,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,4,1,6,3,5] => [7,2,1,5,8,3,6,4] => [6,4,8,3,5,7,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,5,1,4,8,7] => [3,7,6,4,8,5,1,2] => [2,8,5,1,3,7,6,4] => ([(0,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,8,5,1,4,3] => [2,3,7,1,4,8,5,6] => [4,6,8,5,7,1,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,1,5,8,2,6,4,3] => [2,8,4,1,7,3,5,6] => [5,6,7,3,8,4,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,3,4,6,7,1,5] => [1,7,6,5,3,2,8,4] => [1,8,4,7,6,5,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,5,8,1,2,3] => [3,5,2,4,1,8,7,6] => [4,1,5,2,3,8,7,6] => ([(0,7),(1,2),(1,3),(2,3),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,4,8,7,5,3,2] => [8,3,5,1,2,4,6,7] => [2,4,5,1,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,8,7,6,2,5,4] => [8,6,1,2,3,7,4,5] => [2,3,5,7,4,8,6,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,8,7,6,2,5,3] => [5,8,1,2,3,7,4,6] => [2,3,6,7,4,8,1,5] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,8,7,6,5,2,4] => [6,8,1,2,3,4,7,5] => [2,3,4,7,5,8,1,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[9,10,3,4,5,6,7,8,1,2] => [2,1,8,7,6,5,4,3,10,9] => [2,1,8,7,6,5,4,3,10,9] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,9,10,5,6,1,2,3,4] => [4,3,2,1,6,5,10,9,8,7] => [4,3,2,1,6,5,10,9,8,7] => ([(0,1),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(7,8),(7,9),(8,9)],10)
[1,2,3,6,7,4,5,8,9,10] => [10,9,8,5,4,7,6,3,2,1] => [7,6,3,2,1,10,9,8,5,4] => ([(0,1),(0,2),(0,7),(0,8),(1,2),(1,7),(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,6),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,4,5,6,7,8,9,10,11,12,1,2] => [10,9,8,7,6,5,4,3,2,1,12,11] => [10,9,8,7,6,5,4,3,2,1,12,11] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,9,10,7,8,5,6,1,2,3,4] => [2,1,4,3,6,5,8,7,12,11,10,9] => [2,1,4,3,6,5,8,7,12,11,10,9] => ([(0,7),(1,6),(2,5),(3,4),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,9,10,5,6,7,8,1,2,3,4] => [2,1,4,3,8,7,6,5,12,11,10,9] => [2,1,4,3,8,7,6,5,12,11,10,9] => ([(0,3),(1,2),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8),(9,10),(9,11),(10,11)],12)
[5,6,7,8,9,10,11,12,1,2,3,4] => [8,7,6,5,4,3,2,1,12,11,10,9] => [8,7,6,5,4,3,2,1,12,11,10,9] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,7,8,9,10,1,2,3,4,5,6] => [2,1,6,5,4,3,12,11,10,9,8,7] => [2,1,6,5,4,3,12,11,10,9,8,7] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[9,10,11,12,1,2,3,4,5,6,7,8] => [4,3,2,1,12,11,10,9,8,7,6,5] => [4,3,2,1,12,11,10,9,8,7,6,5] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[11,12,1,2,3,4,5,6,7,8,9,10] => [2,1,12,11,10,9,8,7,6,5,4,3] => [2,1,12,11,10,9,8,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,2,3,4,7,8,5,6,9,10,11,12] => [12,11,10,9,6,5,8,7,4,3,2,1] => [8,7,4,3,2,1,12,11,10,9,6,5] => ([(0,1),(0,2),(0,3),(0,9),(0,10),(1,2),(1,3),(1,9),(1,10),(2,3),(2,9),(2,10),(3,9),(3,10),(4,5),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[1,2,3,4,5,6,7,8,9,10,11,12] => [12,11,10,9,8,7,6,5,4,3,2,1] => [12,11,10,9,8,7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[8,5,7,4,1,2,3,6] => [1,4,2,5,8,7,6,3] => [1,8,7,6,3,4,2,5] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,7,5,8,3,1] => [3,5,7,2,4,1,6,8] => [4,1,6,7,2,3,5,8] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,1,4,6,5,2,8,3] => [2,8,5,3,4,7,1,6] => [6,7,1,2,4,8,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,4,6,5,3,2,8] => [2,8,5,3,4,6,7,1] => [7,1,2,4,6,8,5,3] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,1,6,8,2,5] => [6,5,2,8,3,1,7,4] => [7,4,8,3,1,6,5,2] => ([(0,1),(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,1,6,8,5,2] => [6,5,2,8,3,1,4,7] => [4,7,8,3,1,6,5,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,7,5,3,6,8] => [7,5,8,2,4,6,3,1] => [6,3,1,4,8,2,7,5] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,4,1,7,8,6,2,5] => [6,5,8,2,1,3,7,4] => [3,7,4,8,2,1,6,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,2,6,8,1,5] => [6,5,2,7,3,1,8,4] => [8,4,7,3,1,6,5,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,2,6,5,1,8] => [6,5,2,7,3,4,8,1] => [8,1,4,7,3,6,5,2] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,1,2,6,5,7] => [5,1,6,8,7,3,4,2] => [4,2,8,7,3,5,1,6] => ([(0,5),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,2,6,5,8,1] => [6,5,2,7,3,4,1,8] => [4,1,7,3,6,5,2,8] => ([(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,3,1,2,6,7,5] => [5,1,6,8,7,3,2,4] => [4,8,7,3,2,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,6,3,4,2,7] => [4,1,8,3,6,5,7,2] => [7,2,6,5,8,3,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,1,3,4,7,2] => [3,1,4,8,6,5,2,7] => [7,8,6,5,2,3,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,2,6,1,8,3] => [4,5,2,7,3,8,1,6] => [6,8,1,7,3,5,2,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,4,3,7,5,1,2,8] => [3,5,6,2,4,8,7,1] => [8,7,1,4,6,2,3,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,4,1,5,2,6] => [6,1,2,5,8,4,7,3] => [2,7,3,8,4,5,6,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,7,3,6,1,5,8] => [7,5,2,6,3,8,4,1] => [8,4,1,6,3,7,5,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,2,1,6,4,7] => [4,1,6,7,8,3,5,2] => [5,2,8,3,4,1,6,7] => ([(0,6),(1,6),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,7,4,3,1,2,6] => [4,1,2,5,6,8,7,3] => [2,8,7,3,4,1,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,3,6,2,1,8] => [4,5,2,6,3,7,8,1] => [8,1,6,3,5,2,4,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,3,7,2,6,1] => [4,5,1,6,2,7,3,8] => [7,3,6,2,5,1,4,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,2,4,7,8,1] => [4,6,3,7,5,2,1,8] => [7,5,2,1,6,3,4,8] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,5,8,6,3,7] => [5,7,8,4,1,3,6,2] => [6,2,3,8,4,1,5,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,1,5,8,6,7,3] => [5,7,8,4,1,3,2,6] => [3,2,6,8,4,1,5,7] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,5,7,8,2,6] => [5,6,8,4,2,1,7,3] => [7,3,8,4,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,1,8,5,4,6,7] => [6,7,8,1,4,5,3,2] => [5,3,2,4,8,1,6,7] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,2,1,8,4,5,3] => [3,2,7,8,1,5,4,6] => [5,4,6,8,1,3,2,7] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,2,1,8,6,5,4,7] => [6,7,8,1,3,4,5,2] => [5,2,3,4,8,1,6,7] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,1,6,7,8,5,2] => [5,6,8,3,2,1,4,7] => [4,7,8,3,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,1,6,8,7,5,3] => [5,7,8,3,1,2,4,6] => [2,4,6,8,3,1,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,8,5,3,7] => [5,7,8,3,1,4,6,2] => [6,2,4,8,3,1,5,7] => ([(0,5),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,6,1,8,7,4,3] => [4,7,3,8,1,2,5,6] => [2,5,6,8,1,7,3,4] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,2,6,1,8,7,3,4] => [4,7,3,8,1,2,6,5] => [2,6,5,8,1,7,3,4] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[5,2,6,1,8,3,4,7] => [4,7,3,8,1,6,5,2] => [6,5,2,8,1,7,3,4] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,8,3,7,5] => [5,7,8,3,1,6,2,4] => [4,6,2,8,3,1,5,7] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,1,6,7,8,2,5] => [5,6,8,3,2,1,7,4] => [7,4,8,3,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,1,5,8,2,4] => [3,2,6,8,4,1,7,5] => [7,5,8,4,1,3,2,6] => ([(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,2,1,7,8,6,3,5] => [5,7,8,2,1,3,6,4] => [3,6,4,8,2,1,5,7] => ([(0,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,6,4,7,5] => [6,7,8,1,3,5,2,4] => [4,5,2,3,8,1,6,7] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,8,6,4,5,7] => [6,7,8,1,3,5,4,2] => [5,4,2,3,8,1,6,7] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,4,6,5,7] => [6,7,8,1,5,3,4,2] => [4,2,5,3,8,1,6,7] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,1,8,4,6,7,5] => [6,7,8,1,5,3,2,4] => [4,5,3,2,8,1,6,7] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,7,8,3,6,5] => [5,7,8,2,1,6,3,4] => [4,6,3,8,2,1,5,7] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,1,8,3,6,4] => [4,7,2,8,1,6,3,5] => [5,6,3,8,1,7,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,7,2,1,8,3,5,4] => [3,2,7,8,1,6,4,5] => [5,6,4,8,1,3,2,7] => ([(0,4),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,1,8,3,4,6] => [4,7,2,8,1,6,5,3] => [6,5,3,8,1,7,2,4] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,1,7,8,3,5,6] => [5,7,8,2,1,6,4,3] => [6,4,3,8,2,1,5,7] => ([(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,1,8,4,5,7,6] => [6,7,8,1,5,4,2,3] => [3,5,4,2,8,1,6,7] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,3,8,1,5,2,7] => [3,5,6,1,8,4,7,2] => [7,2,8,4,6,1,3,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,6,7,3,4,2,8,5] => [8,3,2,6,5,7,1,4] => [4,7,1,6,5,8,3,2] => ([(0,6),(0,7),(1,2),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,6,4,1,7,5] => [6,7,1,3,5,8,2,4] => [4,8,2,3,5,7,1,6] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,3,4,2,8,6] => [4,8,2,6,5,7,1,3] => [3,7,1,6,5,8,2,4] => ([(0,1),(0,7),(1,6),(2,3),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,8,2,6,7,4] => [8,4,6,1,7,3,2,5] => [5,7,3,2,6,1,8,4] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,1,2,4,5,6,3] => [2,1,8,7,5,4,3,6] => [2,1,6,8,7,5,4,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,8,5,1,2] => [6,5,3,2,1,4,8,7] => [4,6,5,3,2,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,4,7,5,8,3] => [8,7,3,5,2,4,1,6] => [4,1,5,2,6,8,7,3] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,8,5,4,7,1,2] => [3,6,1,4,5,2,8,7] => [5,2,4,6,1,3,8,7] => ([(0,1),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,8,2,5,6,3,7,4] => [8,1,7,4,3,6,2,5] => [5,6,2,7,4,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,4,8,5,7,3] => [8,7,3,5,1,4,2,6] => [4,2,5,1,6,8,7,3] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[7,8,3,1,4,2,5,6] => [2,1,6,8,5,7,4,3] => [2,1,7,4,3,8,5,6] => ([(0,1),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,8,1,5,2,3,6,7] => [5,1,8,4,7,6,3,2] => [7,6,3,2,8,4,5,1] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,2,3,6,8] => [2,5,8,4,7,6,3,1] => [7,6,3,1,2,8,4,5] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,5,8,3,7,4] => [3,8,7,4,1,6,2,5] => [5,6,2,8,7,4,1,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,1,8,7,4,3,2,5] => [3,8,1,2,5,6,7,4] => [2,7,4,5,6,8,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,5,4,8,6,3] => [2,8,7,4,5,1,3,6] => [3,5,1,2,6,8,7,4] => ([(0,7),(1,4),(1,5),(2,3),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,2,6,4,7,8,5,3] => [8,7,3,5,2,1,4,6] => [4,5,2,1,6,8,7,3] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,6,4,8,2,7,5] => [6,8,3,5,1,7,2,4] => [4,7,2,5,1,8,3,6] => ([(0,1),(0,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,4,1,6,3,2,5] => [2,1,5,8,3,6,7,4] => [2,1,7,4,6,8,3,5] => ([(0,1),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,1,6,3,8,7,2,5] => [5,8,3,6,1,2,7,4] => [2,7,4,6,1,8,3,5] => ([(0,6),(1,3),(1,5),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,1,8,4,3,2,6] => [2,4,8,1,5,6,7,3] => [7,3,5,6,8,1,2,4] => ([(0,4),(0,5),(0,6),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,1,7,4,3,2,8] => [3,4,8,2,5,6,7,1] => [7,1,5,6,8,2,3,4] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,8,5,2,3,7,6] => [5,8,1,4,7,6,2,3] => [3,7,6,2,4,8,1,5] => ([(0,4),(0,7),(1,2),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,8,3,7,2,5] => [5,8,3,1,6,2,7,4] => [7,4,6,2,8,3,1,5] => ([(0,1),(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,1,3,8,2,7] => [4,5,3,8,6,1,7,2] => [7,2,8,6,1,5,3,4] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,8,1,4,3,2,7] => [3,4,1,8,5,6,7,2] => [7,2,4,1,3,6,8,5] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,3,5,7,6,2,8,4] => [8,6,4,2,3,7,1,5] => [5,7,1,3,8,6,4,2] => ([(0,4),(0,6),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,1,7,8,3,5] => [5,3,7,8,2,1,6,4] => [6,4,8,2,1,5,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,8,2,4,3,7] => [4,8,3,1,7,5,6,2] => [6,2,7,5,8,3,1,4] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,2,4,1,6] => [1,4,6,2,7,5,8,3] => [1,8,3,7,5,6,2,4] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,7,3,1,5,6] => [1,7,5,2,6,8,4,3] => [1,8,4,3,6,7,5,2] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,8,3,1,5,6] => [7,5,2,1,6,8,4,3] => [8,4,3,6,7,5,2,1] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,4,2,8,1,7] => [3,4,6,5,7,1,8,2] => [8,2,7,1,3,4,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,8,1,6,7] => [4,7,5,6,1,8,3,2] => [8,3,2,6,1,4,7,5] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,6,8,1,5,7] => [6,7,5,3,1,8,4,2] => [8,4,2,7,5,3,1,6] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,7,3,2,4,6] => [1,8,4,2,6,7,5,3] => [1,7,5,3,6,8,4,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,8,2,3,1,5] => [5,3,2,1,7,6,8,4] => [8,4,5,3,2,1,7,6] => ([(0,1),(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,7,2,4,1,6] => [4,6,1,2,7,5,8,3] => [2,8,3,7,5,6,1,4] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,3,1,5,6] => [7,5,1,2,6,8,4,3] => [2,8,4,3,6,7,5,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,6,2,3,1,5] => [1,2,5,3,7,6,8,4] => [1,2,8,4,5,3,7,6] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,2,3,1,4] => [4,3,1,2,7,6,8,5] => [2,4,3,1,8,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[3,1,7,4,2,8,6,5] => [6,8,2,5,7,1,3,4] => [3,4,7,1,5,8,2,6] => ([(0,1),(0,7),(1,6),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,7,6,8,2,3,1,4] => [4,2,3,1,7,6,8,5] => [3,1,4,2,8,5,7,6] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[8,6,4,7,2,3,1,5] => [1,3,5,2,7,6,8,4] => [1,8,4,5,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,3,7,4,1,6,5] => [1,7,6,2,5,8,3,4] => [1,4,8,3,5,7,6,2] => ([(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,8,4,1,6,5] => [7,6,2,1,5,8,3,4] => [4,8,3,5,7,6,2,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,8,2,5,1,6] => [6,2,5,1,7,4,8,3] => [8,3,7,4,5,1,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,4,1,6,8,5] => [7,6,2,5,8,3,1,4] => [4,8,3,1,5,7,6,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,6,4,2,3,7,5] => [1,8,3,5,7,6,2,4] => [1,4,7,6,2,5,8,3] => ([(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,1,7,4,2,8,5] => [3,6,8,2,5,7,1,4] => [4,7,1,5,8,2,3,6] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,7,6,2,3,1,4] => [1,4,2,3,7,6,8,5] => [1,3,4,2,8,5,7,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[7,5,8,6,2,3,1,4] => [2,4,1,3,7,6,8,5] => [3,4,1,2,8,5,7,6] => ([(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7),(6,7)],8)
[7,1,6,4,2,3,8,5] => [2,8,3,5,7,6,1,4] => [4,7,6,1,2,5,8,3] => ([(0,7),(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,3,8,7,1,4] => [7,3,4,6,1,2,8,5] => [2,8,5,6,1,4,7,3] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,6,8,5,3,1,7,4] => [7,3,1,4,6,8,2,5] => [5,8,2,4,6,7,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,5,7,1,3,4] => [3,7,1,4,2,8,6,5] => [4,2,8,6,5,7,1,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,1,3,4,8,2,5] => [3,2,8,6,5,1,7,4] => [7,4,8,6,5,1,3,2] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,3,5,6,1,2] => [5,1,2,6,4,3,8,7] => [2,6,4,3,5,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,3,4,6,1,2] => [4,1,2,6,5,3,8,7] => [2,6,5,3,4,1,8,7] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,1,2,6,7,3] => [4,1,5,8,7,3,2,6] => [6,8,7,3,2,4,1,5] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,3,7,2,6,1,8,4] => [4,6,2,7,3,8,1,5] => [5,8,1,7,3,6,2,4] => ([(0,4),(0,7),(1,2),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,8,1,6,3,7,4] => [4,7,1,8,3,6,2,5] => [5,6,2,8,3,7,1,4] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,8,4,1,2,6,5,3] => [2,1,5,8,7,3,4,6] => [2,1,4,6,8,7,3,5] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,5,2,7,6,3] => [5,1,8,4,7,2,3,6] => [3,6,7,2,8,4,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,1,2,4,7,6,3] => [4,1,8,7,5,2,3,6] => [3,6,8,7,5,2,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,6,2,4,1,5] => [6,1,2,3,7,5,8,4] => [2,3,8,4,7,5,6,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,6,5,1,3,4] => [2,1,7,3,4,8,6,5] => [2,1,4,8,6,5,7,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,4,2,3,5] => [8,1,2,3,5,7,6,4] => [2,3,7,6,4,5,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,6,3,1,4,5] => [7,1,2,3,6,8,5,4] => [2,3,8,5,4,6,7,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,2,4,3,5] => [8,1,2,3,7,5,6,4] => [2,3,6,4,7,5,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,3,4,2,5] => [8,1,2,3,6,5,7,4] => [2,3,7,4,6,5,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,4,5,6,7,3] => [7,1,8,5,4,3,2,6] => [6,8,5,4,3,2,7,1] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,3,6,5,8,4] => [7,8,2,6,3,4,1,5] => [4,1,5,6,3,8,2,7] => ([(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,2,6,5,8,4] => [6,8,2,7,3,4,1,5] => [4,1,5,7,3,8,2,6] => ([(0,5),(1,3),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,8,5,7,3,4] => [3,8,7,1,4,2,6,5] => [4,2,6,5,8,7,1,3] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,1,8,5,7,2,4] => [3,6,8,1,4,2,7,5] => [4,2,7,5,8,1,3,6] => ([(0,3),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,4,2,1,7,5,8,3] => [3,5,7,8,2,4,1,6] => [4,1,6,8,2,3,5,7] => ([(0,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,1,3,8,5,2,7,4] => [3,8,6,1,4,7,2,5] => [5,7,2,4,8,6,1,3] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,3,7,1,6,8,5,4] => [7,6,2,8,3,1,4,5] => [4,5,8,3,1,7,6,2] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,7,2,6,8,5,4] => [8,6,2,7,3,1,4,5] => [4,5,7,3,1,8,6,2] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,2,6,5,3,1,4] => [2,1,7,3,4,6,8,5] => [2,1,4,8,5,6,7,3] => ([(0,1),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,7,5,8,1,4] => [6,7,3,2,4,1,8,5] => [4,1,8,5,7,3,2,6] => ([(0,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,5,6,3,8,4] => [8,7,2,4,3,6,1,5] => [5,6,1,4,3,8,7,2] => ([(0,5),(0,6),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,7,6,4,3,1,5] => [7,1,2,3,5,6,8,4] => [2,3,8,4,5,6,7,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,6,1,2,5,4] => [6,1,2,3,8,7,4,5] => [2,3,5,8,7,4,6,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,6,4,1,2,5] => [6,1,2,3,5,8,7,4] => [2,3,8,7,4,5,6,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,6,5,1,2,4] => [2,1,6,3,4,8,7,5] => [2,1,4,8,7,5,6,3] => ([(0,1),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,5,6,8,1,4] => [7,6,2,4,3,1,8,5] => [4,3,1,8,5,7,6,2] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,8,7,6,5,1,4] => [7,6,1,2,3,4,8,5] => [2,3,4,8,5,7,6,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,7,3,6,5,4] => [8,7,1,2,6,3,4,5] => [2,4,5,6,3,8,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,3,6,1,5] => [5,7,1,2,6,3,8,4] => [2,8,4,6,3,7,1,5] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,3,2,6,4] => [8,4,1,2,6,7,3,5] => [2,5,7,3,6,8,4,1] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,7,3,2,1,6] => [5,4,1,2,6,7,8,3] => [2,8,3,5,4,1,6,7] => ([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,4,7,2,1,5] => [6,3,1,5,2,7,8,4] => [8,4,5,2,6,3,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,3,7,6,1,4] => [7,4,1,6,2,3,8,5] => [3,8,5,6,2,7,4,1] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,3,7,2,6,4] => [8,4,1,6,2,7,3,5] => [5,7,3,6,2,8,4,1] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,2,3,7,1,4] => [4,3,1,7,6,2,8,5] => [8,5,7,6,2,4,3,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,4,2,7,5,3] => [8,3,1,5,7,2,4,6] => [4,6,7,2,5,8,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,8,4,2,7,6,3] => [8,4,1,5,7,2,3,6] => [3,6,7,2,5,8,4,1] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,8,2,3,7,6,4] => [8,4,1,7,6,2,3,5] => [3,5,7,6,2,8,4,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,2,8,6,5,4,3] => [2,8,7,1,3,4,5,6] => [3,4,5,6,8,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,4,8,6,2,5,3] => [2,8,5,1,3,7,4,6] => [3,6,7,4,8,5,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,4,8,3,6,1,5] => [2,7,5,1,6,3,8,4] => [8,4,6,3,7,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,2,8,7,5,4,3] => [8,3,7,1,2,4,5,6] => [2,4,5,6,7,1,8,3] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,4,8,7,2,5,3] => [8,3,5,1,2,7,4,6] => [2,6,7,4,5,1,8,3] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,4,8,7,2,1,5] => [6,3,5,1,2,7,8,4] => [2,8,4,5,1,6,3,7] => ([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,5,8,7,2,6,4] => [6,8,4,1,2,7,3,5] => [2,5,7,3,8,4,1,6] => ([(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,8,7,2,6,5] => [6,8,5,1,2,7,3,4] => [2,4,7,3,8,5,1,6] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,8,2,7,5,3] => [8,3,5,1,7,2,4,6] => [4,6,7,2,5,1,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,4,5,8,2,7,6,3] => [8,5,4,1,7,2,3,6] => [3,6,7,2,8,5,4,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,8,3,7,1,6] => [7,5,4,1,6,2,8,3] => [8,3,6,2,7,5,4,1] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,8,3,2,7,5] => [8,3,5,1,6,7,2,4] => [4,7,2,5,1,6,8,3] => ([(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,4,5,8,3,2,7,6] => [8,5,4,1,6,7,2,3] => [3,7,2,6,8,5,4,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,4,8,2,5,3] => [2,3,8,5,1,7,4,6] => [6,7,4,8,5,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,2,5,1,8,6,4,3] => [2,7,4,8,1,3,5,6] => [3,5,6,8,1,2,7,4] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,2,1,3,8,6,5,4] => [2,7,8,6,1,3,4,5] => [3,4,5,8,6,1,2,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,3,4,8,6,1,5] => [2,7,6,5,1,3,8,4] => [3,8,4,7,6,5,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,4,8,2,1,6] => [2,6,4,5,1,7,8,3] => [8,3,5,1,2,6,4,7] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,5,1,8,7,4,3] => [7,3,4,8,1,2,5,6] => [2,5,6,8,1,4,7,3] => ([(0,6),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[1,6,5,3,8,2,7,4] => [8,3,4,6,1,7,2,5] => [5,7,2,6,1,4,8,3] => ([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,6,3,4,8,2,7,5] => [8,3,6,5,1,7,2,4] => [4,7,2,6,5,1,8,3] => ([(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,5,4,8,2,7,6] => [8,6,4,5,1,7,2,3] => [3,7,2,5,1,8,6,4] => ([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,5,2,3,8,1,4] => [2,3,4,7,6,1,8,5] => [8,5,7,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,4,2,8,5,3] => [2,3,8,5,7,1,4,6] => [4,6,7,1,2,3,8,5] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,1,2,3,8,5,4] => [2,3,8,7,6,1,4,5] => [4,5,8,7,6,1,2,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,1,5,4,2,8,6,3] => [2,8,4,5,7,1,3,6] => [3,6,7,1,2,5,8,4] => ([(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,1,2,4,3,8,6,5] => [2,8,7,5,6,1,3,4] => [3,4,6,1,2,8,7,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,2,7,6,5,4,1,3] => [1,7,2,3,4,5,8,6] => [1,3,4,5,8,6,7,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,6,5,4,3,1] => [2,7,1,3,4,5,6,8] => [3,4,5,6,7,1,2,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,9,7,6,5,4,3,2] => [2,9,1,3,4,5,6,7,8] => [3,4,5,6,7,8,9,1,2] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[2,10,9,8,7,6,5,4,1,3] => [9,1,2,3,4,5,6,7,10,8] => [2,3,4,5,6,7,10,8,9,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,9,8,7,6,5,4,1,2] => [7,1,2,3,4,5,6,9,8] => [2,3,4,5,6,7,1,9,8] => ([(0,1),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,7,2,6,5,4,1,3] => [1,2,7,3,4,5,8,6] => [1,2,4,5,8,6,7,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,7,6,5,1,4] => [6,7,1,2,3,4,8,5] => [2,3,4,8,5,7,1,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,7,6,5,3,1,2] => [5,1,2,3,4,6,8,7] => [2,3,4,5,1,6,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[7,8,6,1,5,4,3,2] => [2,1,3,8,4,5,6,7] => [2,1,3,5,6,7,8,4] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[8,9,1,7,6,5,4,3,2] => [2,1,9,3,4,5,6,7,8] => [2,1,4,5,6,7,8,9,3] => ([(0,1),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[7,3,8,6,5,4,2,1] => [2,6,1,3,4,5,7,8] => [3,4,5,6,1,2,7,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,9,7,6,5,4,3,1] => [2,8,1,3,4,5,6,7,9] => [3,4,5,6,7,8,1,2,9] => ([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[9,1,10,8,7,6,5,4,3,2] => [2,10,1,3,4,5,6,7,8,9] => [3,4,5,6,7,8,9,10,1,2] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[8,6,3,1,5,2,4,7] => [1,3,6,8,4,7,5,2] => [1,7,5,2,3,8,4,6] => ([(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,7,3,2,5,1,8,4] => [3,2,6,7,4,8,1,5] => [5,8,1,3,2,7,4,6] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,7,8,3,6,4,1,2] => [4,2,1,6,3,5,8,7] => [5,6,3,4,2,1,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,5,6,4,1,2] => [6,2,1,4,3,5,8,7] => [4,3,5,6,2,1,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,5,6,1,4,2] => [6,2,1,4,3,8,5,7] => [4,3,7,8,5,6,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,5,6,3,4,2] => [8,2,1,4,3,6,5,7] => [4,3,6,5,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,8,6,3,4,2] => [8,2,4,1,3,6,5,7] => [3,4,1,6,5,7,8,2] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,5,8,6,1,4,2] => [6,2,4,1,3,8,5,7] => [3,4,1,7,8,5,6,2] => ([(0,2),(0,7),(1,2),(1,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,5,8,6,4,1,2] => [6,2,4,1,3,5,8,7] => [3,4,1,5,6,2,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,5,6,4,1,2] => [2,6,1,4,3,5,8,7] => [4,3,5,6,1,2,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,8,6,4,1,2] => [6,4,2,1,3,5,8,7] => [3,5,6,4,2,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,8,3,6,4,2] => [8,4,2,1,6,3,5,7] => [5,6,3,7,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,8,1,6,4,2] => [4,6,2,1,8,3,5,7] => [5,7,8,3,6,2,1,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,5,6,3,4,2] => [2,1,8,4,3,6,5,7] => [2,1,6,5,7,8,4,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,5,6,3,4,2] => [2,8,1,4,3,6,5,7] => [4,3,6,5,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,7,8,3,6,4,2] => [4,8,2,1,6,3,5,7] => [5,6,3,7,8,2,1,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[3,1,7,5,8,6,4,2] => [6,8,2,4,1,3,5,7] => [3,4,1,5,7,8,2,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,1,7,3,8,6,4,2] => [4,8,2,6,1,3,5,7] => [3,5,6,1,7,8,2,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,1,5,3,8,6,4,2] => [2,8,4,6,1,3,5,7] => [3,5,6,1,2,7,8,4] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,8,1,5,3,6,4,2] => [2,1,8,4,6,3,5,7] => [2,1,5,6,3,7,8,4] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,3,8,6,4,2] => [8,2,4,6,1,3,5,7] => [3,5,6,1,4,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,8,6,1,4,2] => [4,2,6,1,3,8,5,7] => [3,7,8,5,6,1,4,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,8,3,6,4,2] => [8,2,4,1,6,3,5,7] => [5,6,3,4,1,7,8,2] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,8,5,1,6,4,2] => [6,2,1,4,8,3,5,7] => [5,7,8,3,4,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,3,6,1,4,2] => [4,2,1,6,3,8,5,7] => [7,8,5,6,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,3,1,4,2] => [4,2,1,3,6,8,5,7] => [3,4,2,1,7,8,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,6,1,3,4,2] => [2,4,1,3,8,6,5,7] => [3,4,1,2,7,8,6,5] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,1,6,3,4,2] => [4,2,1,8,3,6,5,7] => [6,5,7,8,3,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,1,3,6,4,2] => [4,2,1,8,6,3,5,7] => [5,7,8,6,3,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,1,5,6,4,2] => [6,2,1,8,4,3,5,7] => [5,7,8,4,3,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,8,5,6,4,2] => [8,2,6,1,4,3,5,7] => [4,3,5,6,1,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,8,3,6,4,2] => [4,2,8,1,6,3,5,7] => [5,6,3,7,8,1,4,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[7,5,8,1,6,3,4,2] => [2,4,1,8,3,6,5,7] => [6,5,7,8,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,1,6,3,4,2] => [2,1,4,8,3,6,5,7] => [2,1,6,5,7,8,3,4] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,1,3,6,4,2] => [2,4,1,8,6,3,5,7] => [5,7,8,6,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,8,3,6,4,2] => [2,4,8,1,6,3,5,7] => [5,6,3,7,8,1,2,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,5,1,3,8,6,4,2] => [2,4,8,6,1,3,5,7] => [3,5,7,8,6,1,2,4] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[3,7,1,5,8,6,4,2] => [6,2,8,4,1,3,5,7] => [3,5,7,8,4,1,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,3,5,8,6,4,2] => [8,2,6,4,1,3,5,7] => [3,5,6,4,1,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,3,7,8,6,4,2] => [8,4,6,2,1,3,5,7] => [3,5,6,2,1,7,8,4] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,5,1,7,8,6,4,2] => [6,4,8,2,1,3,5,7] => [3,5,7,8,2,1,6,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,3,1,7,8,6,4,2] => [4,6,8,2,1,3,5,7] => [3,5,7,8,2,1,4,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,5,8,6,4,2] => [2,6,8,4,1,3,5,7] => [3,5,7,8,4,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,1,5,6,4,2] => [2,6,1,8,4,3,5,7] => [5,7,8,4,3,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,1,5,6,4,2] => [2,1,6,8,4,3,5,7] => [2,1,5,7,8,4,3,6] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,3,5,6,4,2] => [2,1,8,6,4,3,5,7] => [2,1,5,7,8,6,4,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,7,8,6,4,2] => [6,8,4,2,1,3,5,7] => [3,5,7,8,4,2,1,6] => ([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,4,6,8,1,2] => [4,2,6,5,3,1,8,7] => [6,5,3,1,4,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,4,1,8,6,2] => [4,2,6,5,8,1,3,7] => [3,7,8,1,4,2,6,5] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,1,4,6,2,8] => [4,2,6,8,5,3,7,1] => [7,1,8,5,3,4,2,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,1,4,6,8,2] => [4,2,6,8,5,3,1,7] => [7,8,5,3,1,4,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,1,4,8,6,2] => [4,2,6,8,5,1,3,7] => [3,7,8,5,1,4,2,6] => ([(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,1,4,8,2,6] => [4,2,6,8,5,1,7,3] => [7,3,8,5,1,4,2,6] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,7,4,1,2,6,8] => [4,6,2,5,8,7,3,1] => [8,7,3,1,5,6,2,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,1,4,2,6,8] => [4,6,2,8,5,7,3,1] => [7,3,1,8,5,6,2,4] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,1,4,2,8,6] => [4,6,2,8,5,7,1,3] => [3,7,1,8,5,6,2,4] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,1,2,8,6,4] => [6,2,4,8,7,1,3,5] => [3,5,8,7,1,4,6,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,3,5,1,2,6,4] => [2,1,6,4,8,7,3,5] => [2,1,5,8,7,3,6,4] => ([(0,1),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,5,1,2,6,8,4] => [6,2,4,8,7,3,1,5] => [5,8,7,3,1,4,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,4,1,8,7] => [6,4,3,7,5,8,1,2] => [2,8,1,7,5,6,4,3] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,6,4,1,5,3] => [1,2,7,3,5,8,4,6] => [1,2,6,8,4,5,7,3] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,8,4,6,3] => [7,8,4,2,1,5,3,6] => [5,3,6,8,4,2,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,7,2,5,1,4] => [6,3,1,2,7,4,8,5] => [2,8,5,7,4,6,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,2,8,6,1,4] => [6,4,2,7,1,3,8,5] => [3,8,5,7,1,6,4,2] => ([(0,3),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,4,8,6,1,3] => [7,4,2,5,1,3,8,6] => [3,5,1,8,6,7,4,2] => ([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,7,5,2,8,4] => [8,3,6,2,4,7,1,5] => [5,7,1,4,6,2,8,3] => ([(0,7),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,6,3,7,5,1,8,4] => [7,3,6,2,4,8,1,5] => [5,8,1,4,6,2,7,3] => ([(0,5),(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,7,2,8,5,1,4] => [3,6,2,7,1,4,8,5] => [4,8,5,7,1,6,2,3] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,5,8,7,6,1,3] => [7,5,4,1,2,3,8,6] => [2,3,8,6,7,5,4,1] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,7,6,1,8,4] => [7,6,4,2,3,8,1,5] => [5,8,1,3,7,6,4,2] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,1,4,7,3,8,6] => [7,4,8,5,2,6,1,3] => [3,6,1,8,5,2,7,4] => ([(0,4),(0,5),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,1,3,8,7,2,5,4] => [3,8,6,1,2,7,4,5] => [2,5,7,4,8,6,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,6,2,8,7,4] => [6,8,4,3,7,1,2,5] => [2,5,7,1,8,4,3,6] => ([(0,4),(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,2,8,7,6,3] => [5,8,4,7,1,2,3,6] => [2,3,6,7,1,8,4,5] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,6,1,4,3,8,7,5] => [7,3,8,5,6,1,2,4] => [2,4,6,1,8,5,7,3] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8)
[7,2,3,5,1,8,6,4] => [2,7,6,4,8,1,3,5] => [3,5,8,1,2,7,6,4] => ([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,3,4,1,8,6,5,2] => [2,6,5,8,1,3,4,7] => [3,4,7,8,1,2,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,1,8,7,6,2] => [6,5,4,8,1,2,3,7] => [2,3,7,8,1,6,5,4] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,5,2,8,7,6,3] => [8,5,4,7,1,2,3,6] => [2,3,6,7,1,8,5,4] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,6,4,2,8,7,5,3] => [8,3,5,7,1,2,4,6] => [2,4,6,7,1,5,8,3] => ([(0,7),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,6,2,8,1,7,4] => [4,6,3,7,1,8,2,5] => [5,8,2,7,1,6,3,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,6,2,7,5,1,8,3] => [5,3,7,2,4,8,1,6] => [6,8,1,4,7,2,5,3] => ([(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,3,6,2,8,7,4] => [8,4,6,3,7,1,2,5] => [2,5,7,1,6,3,8,4] => ([(0,7),(1,5),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,8,3,2,7,6,4] => [8,4,1,6,7,2,3,5] => [3,5,7,2,6,8,4,1] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,5,1,4,8,7] => [6,3,7,4,8,5,1,2] => [2,8,5,1,7,4,6,3] => ([(0,2),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,1,3,6,5] => [7,5,1,2,8,6,3,4] => [2,4,8,6,3,7,5,1] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,8,6,4,3] => [2,4,8,7,1,3,5,6] => [3,5,6,8,7,1,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,6,1,2,8,7,5,3] => [5,3,8,7,1,2,4,6] => [2,4,6,8,7,1,5,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,4,1,2,8,7,5,3] => [3,5,8,7,1,2,4,6] => [2,4,6,8,7,1,3,5] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,1,2,8,6,5,3] => [2,5,8,7,1,3,4,6] => [3,4,6,8,7,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,8,1,3,7,6,4] => [4,7,1,8,6,2,3,5] => [3,5,8,6,2,7,1,4] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,2,8,3,7,4] => [3,4,8,7,1,6,2,5] => [5,6,2,8,7,1,3,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,7,8,4,6,3,5] => [7,8,2,1,5,3,6,4] => [6,4,5,3,8,2,1,7] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,4,5,8,3,7] => [7,8,3,5,4,1,6,2] => [6,2,5,4,1,8,3,7] => ([(0,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,3,7,5,2,1,4] => [1,3,6,2,4,7,8,5] => [1,4,8,5,6,2,3,7] => ([(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,3,8,5,2,1,7] => [5,3,6,1,4,7,8,2] => [8,2,4,6,1,5,3,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,7,8,2,6,1,4] => [6,4,2,1,7,3,8,5] => [8,5,7,3,6,4,2,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,4,6,1,5,7] => [1,7,6,5,3,8,4,2] => [1,8,4,2,7,6,5,3] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,4,6,1,8,5] => [2,7,6,5,3,8,1,4] => [4,8,1,2,7,6,5,3] => ([(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,4,7,5,1,6] => [1,7,6,5,2,4,8,3] => [1,8,3,4,7,6,5,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,4,6,8,5,1] => [2,7,6,5,3,1,4,8] => [4,7,6,5,3,1,2,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,3,6,5,1,4,2] => [2,1,6,3,4,8,5,7] => [2,1,4,7,8,5,6,3] => ([(0,7),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,3,6,1,5,8,7] => [5,7,6,3,8,4,1,2] => [2,8,4,1,7,6,3,5] => ([(0,3),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,4,7,1,6,5] => [1,7,6,5,2,8,3,4] => [1,4,8,3,7,6,5,2] => ([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,5,7,6,1,3] => [5,7,1,4,2,3,8,6] => [3,4,2,8,6,7,1,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,6,4,5,1,8,2] => [6,2,3,5,4,8,1,7] => [7,8,1,3,5,4,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,4,5,1,2,7] => [6,1,3,5,4,8,7,2] => [8,7,2,3,5,4,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,6,5,8,2,1] => [5,2,6,3,4,1,7,8] => [4,1,6,3,5,2,7,8] => ([(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,7,5,8,6,3,1] => [5,7,2,4,1,3,6,8] => [3,4,1,6,7,2,5,8] => ([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,1,7,3,6,4,2] => [4,1,8,2,6,3,5,7] => [5,6,3,7,8,2,4,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,8,3,7,6,1,4] => [4,7,1,6,2,3,8,5] => [3,8,5,6,2,7,1,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,3,4,8,5,1,7] => [3,7,6,5,1,4,8,2] => [8,2,4,7,6,5,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,3,4,1,8,5,7] => [3,7,6,5,8,1,4,2] => [4,2,8,1,3,7,6,5] => ([(0,5),(0,6),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7)],8)
[7,2,3,4,1,8,6,5] => [2,7,6,5,8,1,3,4] => [3,4,8,1,2,7,6,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[7,2,3,4,1,5,8,6] => [2,7,6,5,8,4,1,3] => [3,8,4,1,2,7,6,5] => ([(0,5),(0,6),(1,2),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,3,4,8,7,5,6] => [8,7,6,5,1,2,4,3] => [2,4,3,8,7,6,5,1] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,4,1,5,3,2] => [1,3,2,5,8,4,6,7] => [1,3,2,6,7,8,4,5] => ([(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,4,6,5,2,3] => [2,8,1,5,3,4,7,6] => [4,5,3,7,6,8,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,1,5,4,6,2,3] => [1,2,8,4,5,3,7,6] => [1,2,5,3,7,6,8,4] => ([(2,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,5,7,1,4,6,3,2] => [1,4,2,8,5,3,6,7] => [1,6,7,8,5,3,4,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,7,1,6,3,2] => [5,1,4,2,8,3,6,7] => [6,7,8,3,4,2,5,1] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,5,6,3,2] => [1,5,2,8,4,3,6,7] => [1,6,7,8,4,3,5,2] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,4,5,6,3,2] => [1,2,8,5,4,3,6,7] => [1,2,6,7,8,5,4,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,5,6,1,3,2] => [1,2,5,4,3,8,6,7] => [1,2,5,4,3,7,8,6] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[8,7,2,5,1,4,6,3] => [1,2,7,4,8,5,3,6] => [1,2,6,8,5,3,7,4] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,7,2,5,1,6,3] => [5,1,2,7,4,8,3,6] => [2,6,8,3,7,4,5,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,4,8,5,2,7,3] => [8,3,5,1,4,7,2,6] => [6,7,2,4,5,1,8,3] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,1,4,2,5,6,3] => [1,2,8,5,7,4,3,6] => [1,2,6,7,4,3,8,5] => ([(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,8,7,1,2,5,6,4] => [6,1,2,8,7,4,3,5] => [2,5,8,7,4,3,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,7,1,2,6,4] => [6,4,1,2,8,7,3,5] => [2,5,8,7,3,6,4,1] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,5,7,1,6,4] => [7,6,1,4,2,8,3,5] => [5,8,3,4,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,1,5,6,2,4] => [6,1,2,8,4,3,7,5] => [2,7,5,8,4,3,6,1] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,7,1,6,2,4] => [6,4,1,2,8,3,7,5] => [2,7,5,8,3,6,4,1] => ([(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,6,2,7,5,3] => [5,8,1,3,7,2,4,6] => [4,6,7,2,3,8,1,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,8,6,7,5,2,4] => [8,6,1,3,2,4,7,5] => [3,2,4,7,5,8,6,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,8,2,6,3,4] => [4,2,8,1,7,3,6,5] => [6,5,7,3,8,1,4,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[8,7,1,5,2,4,6,3] => [1,2,8,4,7,5,3,6] => [1,2,6,7,5,3,8,4] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,2,4,6,5,3] => [2,8,1,7,5,3,4,6] => [4,6,7,5,3,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,8,4,7,5,3] => [8,3,7,1,5,2,4,6] => [4,5,2,6,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,8,5,7,2,6,4] => [8,6,1,4,2,7,3,5] => [5,7,3,4,2,8,6,1] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,7,2,5,6,4] => [8,1,6,2,7,4,3,5] => [5,7,4,3,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,1,3,5,6,4] => [7,1,2,8,6,4,3,5] => [2,5,8,6,4,3,7,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,8,2,3,6,4] => [4,2,8,1,7,6,3,5] => [5,7,6,3,8,1,4,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[7,1,8,2,3,5,6,4] => [2,8,1,7,6,4,3,5] => [5,7,6,4,3,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,1,6,2,3,4] => [1,2,4,8,3,7,6,5] => [1,2,7,6,5,8,3,4] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,6,2,4,5,7,1] => [1,6,3,7,5,4,2,8] => [1,7,5,4,2,6,3,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,4,3,5,7,1] => [7,1,3,5,6,4,2,8] => [6,4,2,3,5,7,1,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,3,5,4,7,1] => [7,3,1,6,4,5,2,8] => [5,2,6,4,7,3,1,8] => ([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,7,6,1,3,5] => [1,5,7,2,3,8,6,4] => [1,3,8,6,4,7,2,5] => ([(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,6,3,2,5] => [5,1,8,2,3,6,7,4] => [3,7,4,6,8,2,5,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,6,2,3,5,8] => [5,8,2,3,7,6,4,1] => [7,6,4,1,3,8,2,5] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,6,4,5,2,8] => [6,8,2,3,5,4,7,1] => [7,1,3,5,4,8,2,6] => ([(0,7),(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,8,7,5,2,4] => [6,8,3,1,2,4,7,5] => [2,4,7,5,8,3,1,6] => ([(0,7),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,4,2,8,5,1] => [2,6,3,5,7,1,4,8] => [4,7,1,2,5,6,3,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,4,8,2,1,6,3,5] => [2,5,1,7,8,3,6,4] => [6,4,8,3,5,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,8,5,2,1,4,3,6] => [2,1,4,7,8,5,6,3] => [2,1,6,3,4,8,5,7] => ([(0,1),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[7,4,6,2,3,8,1,5] => [2,5,3,7,6,1,8,4] => [8,4,7,6,1,2,5,3] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,8,1,3,2,7] => [5,3,4,1,8,6,7,2] => [7,2,4,1,5,3,8,6] => ([(0,3),(1,5),(1,7),(2,4),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,5,3,8,2,6] => [5,2,8,4,6,1,7,3] => [7,3,6,1,8,4,5,2] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,1,3,6,2,5] => [5,2,1,8,6,3,7,4] => [7,4,8,6,3,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,4,2,3,6,8] => [4,2,8,5,7,6,3,1] => [7,6,3,1,4,2,8,5] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,3,2,4,6,7] => [4,1,8,6,7,5,3,2] => [7,5,3,2,4,1,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,7,3,1,2,6] => [4,5,1,2,6,8,7,3] => [2,8,7,3,5,1,4,6] => ([(0,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,2,5,4,1] => [3,1,6,2,7,4,5,8] => [5,7,4,6,2,3,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,6,8,2,3,7,1] => [4,5,3,1,7,6,2,8] => [7,6,2,5,3,1,4,8] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,1,8,3,5] => [3,5,2,7,8,1,6,4] => [6,4,8,1,5,2,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,8,5,4,1,3,2,7] => [3,1,4,5,8,6,7,2] => [7,2,3,1,4,5,8,6] => ([(0,7),(1,7),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,7,1,5,2,8] => [3,5,6,2,8,4,7,1] => [7,1,8,4,6,2,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[9,8,7,6,5,2,3,1,4] => [1,2,3,4,5,8,7,9,6] => [1,2,3,4,5,9,6,8,7] => ([(5,8),(6,7),(6,8),(7,8)],9)
[3,6,7,8,2,5,1,4] => [6,3,2,1,7,4,8,5] => [8,5,7,4,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,2,6,4,1,3] => [4,2,1,7,3,5,8,6] => [5,8,6,7,3,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,8,6,2,3,5] => [8,2,5,1,3,7,6,4] => [3,7,6,4,5,1,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,2,5,7,8,1,4] => [6,3,7,4,2,1,8,5] => [8,5,7,4,2,1,6,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,7,5,1,6,4] => [1,7,6,2,4,8,3,5] => [1,5,8,3,4,7,6,2] => ([(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,3,5,1,8,4] => [2,7,3,6,4,8,1,5] => [5,8,1,2,6,4,7,3] => ([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,3,6,7,2,4,5] => [1,8,6,3,2,7,5,4] => [1,7,5,4,8,6,3,2] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,2,5,6,3,7] => [1,8,5,7,4,3,6,2] => [1,6,2,7,4,3,8,5] => ([(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,3,8,2,7,4,5] => [3,8,6,1,7,2,5,4] => [5,4,7,2,8,6,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,2,4,1,7,8,5] => [6,3,7,5,8,2,1,4] => [4,8,2,1,7,5,6,3] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,3,1,5,8,4] => [3,7,2,6,8,4,1,5] => [5,8,4,1,6,7,2,3] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,1,8,5,7,2] => [3,6,5,8,1,4,2,7] => [4,2,7,8,1,3,6,5] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[7,3,4,1,5,8,6,2] => [2,6,5,8,4,1,3,7] => [3,7,8,4,1,2,6,5] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,2,8,6,3,4] => [8,2,4,7,1,3,6,5] => [3,6,5,7,1,4,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,6,3,1,7,8,4,2] => [4,3,6,8,2,1,5,7] => [5,7,8,2,1,4,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,4,8,1,5,7,2] => [6,3,5,1,8,4,2,7] => [7,8,4,2,5,1,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,4,1,6,8,2] => [6,4,2,5,8,3,1,7] => [7,8,3,1,5,6,4,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,1,2,6,4,8] => [6,4,2,8,7,3,5,1] => [5,1,8,7,3,6,4,2] => ([(0,3),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,8,2,6,3,5] => [5,2,8,1,7,3,6,4] => [6,4,7,3,8,1,5,2] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,2,1,8,4,6,7] => [6,4,7,8,1,5,3,2] => [5,3,2,8,1,6,4,7] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[7,5,1,2,3,8,6,4] => [2,4,8,7,6,1,3,5] => [3,5,8,7,6,1,2,4] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,1,3,4,8,7] => [4,7,3,8,6,5,1,2] => [2,8,6,5,1,7,3,4] => ([(0,4),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,1,3,2,4] => [3,2,4,1,8,6,7,5] => [4,1,3,2,7,5,8,6] => ([(0,6),(1,5),(2,7),(3,4),(3,7),(4,7),(5,6)],8)
[1,5,4,3,6,8,2,7] => [8,4,5,6,3,1,7,2] => [7,2,6,3,1,5,8,4] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,6,5,1,3,4] => [2,7,1,3,4,8,6,5] => [3,4,8,6,5,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,1,7,5,2,8,4] => [3,6,8,2,4,7,1,5] => [5,7,1,4,8,2,3,6] => ([(0,6),(0,7),(1,2),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,1,8,5,6,4,7] => [7,6,8,1,4,3,5,2] => [5,2,4,3,8,1,7,6] => ([(0,6),(0,7),(1,2),(1,3),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,4,5,7,1,2] => [6,3,1,5,4,2,8,7] => [5,4,2,6,3,1,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,7,8,6,1,2] => [6,5,4,2,1,3,8,7] => [3,6,5,4,2,1,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,7,6,8,1,2] => [6,5,4,2,3,1,8,7] => [3,1,6,5,4,2,8,7] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,6,8,7,1,2] => [6,5,4,3,1,2,8,7] => [2,6,5,4,3,1,8,7] => ([(0,7),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,8,7,2,3,6] => [8,5,4,1,2,7,6,3] => [2,7,6,3,8,5,4,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,8,3,6,4,7] => [8,7,4,1,6,3,5,2] => [5,2,6,3,8,7,4,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,8,6,2,3,7] => [8,5,4,1,3,7,6,2] => [7,6,2,3,8,5,4,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,4,8,2,5,3] => [8,3,2,5,1,7,4,6] => [6,7,4,5,1,8,3,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,8,6,2,7,3] => [8,5,4,1,3,7,2,6] => [6,7,2,3,8,5,4,1] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,7,2,3,5,8,4] => [8,3,2,7,6,4,1,5] => [5,7,6,4,1,8,3,2] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,3,5,4,6] => [2,1,8,7,6,4,5,3] => [2,1,5,3,8,7,6,4] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,7,6,2,3,8] => [8,5,4,2,3,7,6,1] => [7,6,1,3,8,5,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,2,3,4,7,5] => [8,3,1,7,6,5,2,4] => [4,7,6,5,2,8,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,5,7,6,2,8,3] => [8,5,4,2,3,7,1,6] => [6,7,1,3,8,5,4,2] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,1,2,3,4,6,5] => [2,1,8,7,6,5,3,4] => [2,1,4,8,7,6,5,3] => ([(0,7),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,3,6,4,5] => [2,1,8,7,6,3,5,4] => [2,1,5,4,8,7,6,3] => ([(0,1),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,2,3,8,5,4] => [8,3,2,7,6,1,4,5] => [4,5,7,6,1,8,3,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[1,2,5,6,3,8,7,4] => [8,7,4,3,6,1,2,5] => [2,5,6,1,8,7,4,3] => ([(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[8,2,3,4,5,7,1,6] => [1,7,6,5,4,2,8,3] => [1,8,3,7,6,5,4,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,2,4,7,8,3] => [3,8,4,7,5,2,1,6] => [6,7,5,2,1,3,8,4] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,5,1,3,6,2,7] => [5,1,4,8,6,3,7,2] => [7,2,8,6,3,4,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,5,7,2,8,4] => [6,3,8,4,2,7,1,5] => [5,7,1,8,4,2,6,3] => ([(0,4),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,1,2,8,5,7,4] => [3,6,8,7,1,4,2,5] => [4,2,5,8,7,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,5,8,2,3,1] => [3,5,2,4,1,7,6,8] => [4,1,5,2,3,7,6,8] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,8,4,2,6,3,1] => [4,2,1,5,7,3,6,8] => [6,7,3,4,2,1,5,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,1,6,8,3,2] => [4,2,5,8,3,1,6,7] => [6,7,8,3,1,4,2,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,8,4,5,7,1,3,2] => [3,1,5,4,2,8,6,7] => [5,4,2,3,1,7,8,6] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,4,7,8,3,2] => [4,3,8,5,2,1,6,7] => [6,7,8,5,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,2,4,8,3,1] => [4,3,2,7,5,1,6,8] => [6,7,5,1,4,3,2,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,3,7,4,8,2,1] => [4,3,6,2,5,1,7,8] => [5,1,6,2,4,3,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,6,7,4,8,2,1] => [4,6,3,2,5,1,7,8] => [5,1,6,3,2,4,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,2,8,6,7,4,1] => [4,6,7,1,3,2,5,8] => [3,2,5,7,1,4,6,8] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,4,8,2,6,7,3,1] => [4,5,1,7,3,2,6,8] => [6,7,3,2,5,1,4,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,5,7,2,3,1] => [3,5,1,4,2,7,6,8] => [4,2,5,1,3,7,6,8] => ([(1,2),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,8,5,7,2,3,1] => [5,3,1,4,2,7,6,8] => [4,2,5,3,1,7,6,8] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,4,7,2,1] => [4,3,6,1,5,2,7,8] => [5,2,6,1,4,3,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,6,3,5,8,7,2,1] => [5,3,6,4,1,2,7,8] => [2,6,4,1,5,3,7,8] => ([(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,3,2,8,7,5,1] => [5,3,6,7,1,2,4,8] => [2,4,7,1,5,3,6,8] => ([(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,6,5,8,7,2,4,1] => [6,3,4,1,2,7,5,8] => [2,4,1,7,5,6,3,8] => ([(1,5),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,4,7,2,6,8,3,1] => [4,5,2,7,3,1,6,8] => [6,7,3,1,5,2,4,8] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,2,7,6,8,4,1] => [4,6,7,2,3,1,5,8] => [3,1,5,7,2,4,6,8] => ([(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[6,3,2,7,5,4,8,1] => [3,6,7,2,4,5,1,8] => [5,1,4,7,2,3,6,8] => ([(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,2,5,3,8,1] => [3,5,2,7,4,6,1,8] => [6,1,7,4,5,2,3,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,7,8,4,6,2,1] => [6,4,2,1,5,3,7,8] => [5,3,6,4,2,1,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,8,4,6,2,1] => [4,6,2,1,5,3,7,8] => [5,3,6,2,1,4,7,8] => ([(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,8,2,4,6,3,1] => [4,2,1,7,5,3,6,8] => [6,7,5,3,4,2,1,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,8,6,2,1,5] => [6,2,5,1,3,7,8,4] => [3,8,4,5,1,6,2,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,7,3,8,6,2,1] => [5,4,2,6,1,3,7,8] => [3,6,1,5,4,2,7,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,3,2,1,6,4] => [2,4,1,6,7,8,3,5] => [5,8,3,4,1,2,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,4,2,6,3,8,7] => [8,4,5,7,3,6,1,2] => [2,6,1,7,3,5,8,4] => ([(0,6),(1,3),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,8,7,6,2,5,4,3] => [8,1,2,3,7,4,5,6] => [2,3,5,6,7,4,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,9,8,7,6,5,4,3] => [8,9,1,2,3,4,5,6,7] => [2,3,4,5,6,7,9,1,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,2,9,8,7,6,5,4,3] => [9,8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,9,8,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,1,9,8,7,6,5,4] => [7,8,9,1,2,3,4,5,6] => [2,3,4,5,6,9,1,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,3,2,9,8,7,6,5,4] => [9,7,8,1,2,3,4,5,6] => [2,3,4,5,6,8,1,9,7] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[1,2,3,9,8,7,6,5,4] => [9,8,7,1,2,3,4,5,6] => [2,3,4,5,6,9,8,7,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[4,3,2,1,9,8,7,6,5] => [6,7,8,9,1,2,3,4,5] => [2,3,4,5,9,1,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[1,2,10,9,8,7,6,5,4,3] => [10,9,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,10,9,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,1,10,9,8,7,6,5,4] => [8,9,10,1,2,3,4,5,6,7] => [2,3,4,5,6,7,10,1,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[1,2,3,10,9,8,7,6,5,4] => [10,9,8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,10,9,8,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[4,7,3,1,5,6,2,8] => [5,2,6,8,4,3,7,1] => [7,1,8,4,3,5,2,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,3,4,1,6,7,2] => [4,1,6,5,8,3,2,7] => [7,8,3,2,4,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,8,4,2,6,7,3] => [8,4,1,5,7,3,2,6] => [6,7,3,2,5,8,4,1] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,8,5,2,7,4] => [8,3,6,1,4,7,2,5] => [5,7,2,4,6,1,8,3] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,2,3,7,1,6,4,8] => [4,7,6,2,8,3,5,1] => [5,1,8,3,7,6,2,4] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,3,4,8,1,7,5] => [3,7,6,5,1,8,2,4] => [4,8,2,7,6,5,1,3] => ([(0,1),(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,5,8,1,7,3,6,4] => [7,4,1,8,2,6,3,5] => [5,6,3,8,2,7,4,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,1,5,7,3,6,4] => [7,1,8,4,2,6,3,5] => [5,6,3,8,4,2,7,1] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,1,5,7,3,4] => [7,3,1,8,4,2,6,5] => [6,5,8,4,2,7,3,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,5,8,3,4,6] => [7,2,8,4,1,6,5,3] => [6,5,3,8,4,1,7,2] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,5,8,1,2,6,4] => [6,2,4,1,8,7,3,5] => [5,8,7,3,4,1,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,1,2,8,4,5] => [2,6,3,8,7,1,5,4] => [5,4,8,7,1,2,6,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,1,6,5,2,3] => [2,5,1,8,3,4,7,6] => [4,7,6,8,3,5,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,4,5,1,7,2,3] => [3,1,5,4,8,2,7,6] => [7,6,8,2,3,1,5,4] => ([(0,1),(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,6,8,5,1,7,2,3] => [5,3,1,4,8,2,7,6] => [7,6,8,2,4,5,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,6,2,3,8,4] => [4,8,2,3,7,6,1,5] => [5,7,6,1,3,8,2,4] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,8,7,6,2,3,4] => [4,8,1,2,3,7,6,5] => [2,3,7,6,5,8,1,4] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,1,7,6,2,3,4] => [1,4,8,2,3,7,6,5] => [1,3,7,6,5,8,2,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,1,8,4,7,5,2] => [6,3,8,1,5,2,4,7] => [4,5,2,7,8,1,6,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,5,1,7,2,3,6] => [5,1,4,8,2,7,6,3] => [7,6,3,8,2,4,5,1] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,1,7,2,3,6] => [4,1,5,8,2,7,6,3] => [7,6,3,8,2,4,1,5] => ([(0,3),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,7,1,2,5,3] => [3,5,1,2,8,7,4,6] => [2,6,8,7,4,5,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,8,3,7,1,4,2] => [4,3,1,6,2,8,5,7] => [7,8,5,6,2,4,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,7,1,2,8,5,3] => [3,5,2,8,7,1,4,6] => [4,6,8,7,1,5,2,3] => ([(0,2),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,2,7,3,8,4] => [3,4,8,7,2,6,1,5] => [5,6,1,8,7,2,3,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,8,2,7,3,4] => [3,4,8,1,7,2,6,5] => [6,5,7,2,8,1,3,4] => ([(0,3),(0,4),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,6,5,1,2,7,3,4] => [1,3,4,8,7,2,6,5] => [1,6,5,8,7,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,6,5,1,7,2,3,4] => [1,3,4,8,2,7,6,5] => [1,7,6,5,8,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,8,7,2,3,4] => [3,4,8,1,2,7,6,5] => [2,7,6,5,8,1,3,4] => ([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,7,2,8,3,4] => [3,4,8,2,7,1,6,5] => [6,5,7,1,8,2,3,4] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,7,2,3,8,4] => [3,4,8,2,7,6,1,5] => [5,7,6,1,8,2,3,4] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,4,1,2,3] => [4,3,1,2,5,8,7,6] => [2,4,3,1,5,8,7,6] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[6,8,5,7,4,1,2,3] => [3,1,4,2,5,8,7,6] => [4,2,3,1,5,8,7,6] => ([(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,2,1,7,3,4] => [3,1,4,7,8,2,6,5] => [6,5,8,2,3,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[8,6,1,4,5,7,2,3] => [1,3,8,5,4,2,7,6] => [1,7,6,8,5,4,2,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,5,7,2,3,4] => [8,1,3,4,2,7,6,5] => [4,2,3,7,6,5,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,1,4,2,3,8,7] => [3,4,8,5,7,6,1,2] => [2,7,6,1,3,4,8,5] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,8,1,6,2,5] => [5,6,2,1,8,3,7,4] => [7,4,8,3,6,2,1,5] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,5,1,8,4,2,6,3] => [2,4,8,1,5,7,3,6] => [6,7,3,5,8,1,2,4] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,5,4,8,3,7] => [7,8,3,4,5,1,6,2] => [6,2,5,1,4,8,3,7] => ([(0,2),(1,3),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,8,4,6,3,1] => [2,4,7,1,5,3,6,8] => [5,3,6,7,1,2,4,8] => ([(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,7,1,3,5,8,4] => [3,7,2,8,6,4,1,5] => [5,8,6,4,1,7,2,3] => ([(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,2,3,5,4,7] => [3,8,1,7,6,4,5,2] => [5,2,7,6,4,8,1,3] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,4,1,6,3,8,5] => [2,7,5,8,3,6,1,4] => [4,6,1,2,8,3,7,5] => ([(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7)],8)
[8,4,3,1,7,5,2,6] => [1,5,6,8,2,4,7,3] => [1,7,3,4,8,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,3,1,4,6,8,5,2] => [2,6,8,5,3,1,4,7] => [4,7,8,5,3,1,2,6] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,2,4,7,8,6,1] => [4,6,7,5,2,1,3,8] => [3,7,5,2,1,4,6,8] => ([(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,2,8,7,1,6] => [4,6,5,7,1,2,8,3] => [2,8,3,7,1,4,6,5] => ([(0,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,6,8,1,7] => [4,7,5,6,3,1,8,2] => [8,2,6,3,1,4,7,5] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,5,4,1,2,7] => [6,1,3,4,5,8,7,2] => [8,7,2,3,4,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,7,1,4,6,2] => [6,1,4,2,8,5,3,7] => [7,8,5,3,4,2,6,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,2,7,3,4,6,1] => [4,1,7,2,6,5,3,8] => [6,5,3,7,2,4,1,8] => ([(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,5,4,3,1,7] => [3,1,7,4,5,6,8,2] => [8,2,3,1,5,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,3,6,4,2,8,7] => [4,8,6,3,5,7,1,2] => [2,7,1,5,8,6,3,4] => ([(0,1),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,8,7,4,6,2,3] => [4,8,1,2,5,3,7,6] => [2,5,3,7,6,8,1,4] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,3,4,7,5,8,2] => [3,8,6,5,2,4,1,7] => [4,1,7,8,6,5,2,3] => ([(0,1),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,1,4,8,7,5,3] => [3,7,8,5,1,2,4,6] => [2,4,6,8,5,1,3,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,1,8,3,5,4,6,2] => [2,8,1,6,4,5,3,7] => [5,3,6,4,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,4,8,5,6,3] => [2,8,7,5,1,4,3,6] => [4,3,6,8,7,5,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,1,3,4,5,8,6] => [2,7,8,6,5,4,1,3] => [3,8,6,5,4,1,2,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,3,5,4,2,1,6] => [1,2,6,4,5,7,8,3] => [1,2,8,3,5,6,4,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[9,1,8,7,6,5,4,3,2] => [1,9,2,3,4,5,6,7,8] => [1,3,4,5,6,7,8,9,2] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[10,1,9,8,7,6,5,4,3,2] => [1,10,2,3,4,5,6,7,8,9] => [1,3,4,5,6,7,8,9,10,2] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[3,2,9,8,7,6,5,4,1] => [7,8,1,2,3,4,5,6,9] => [2,3,4,5,6,8,1,7,9] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[6,1,4,8,2,3,5,7] => [3,8,5,1,7,6,4,2] => [7,6,4,2,8,5,1,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,8,3,7,1,6,2] => [4,5,1,6,2,8,3,7] => [7,8,3,6,2,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,6,8,1,7,2] => [5,4,6,3,1,8,2,7] => [7,8,2,6,3,1,5,4] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,5,6,2,8,3] => [5,8,2,4,3,7,1,6] => [6,7,1,4,3,8,2,5] => ([(0,6),(0,7),(1,2),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,3,8,1,6,2] => [4,2,5,6,1,8,3,7] => [7,8,3,6,1,4,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,4,2,6,7,5,1] => [6,1,5,7,3,2,4,8] => [4,7,3,2,5,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,1,6,7,5,2] => [6,1,5,8,3,2,4,7] => [4,7,8,3,2,5,6,1] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,4,8,2,5,3,1] => [3,2,5,1,7,4,6,8] => [6,7,4,5,1,3,2,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,7,5,3,8,4] => [7,8,3,2,4,6,1,5] => [5,6,1,4,8,3,2,7] => ([(0,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,2,1,6,7,5] => [6,1,5,7,8,3,2,4] => [4,8,3,2,5,6,1,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,8,1,2,5,3] => [3,2,5,1,8,7,4,6] => [6,8,7,4,5,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,5,8,1,2,4,3] => [3,2,4,1,8,7,5,6] => [4,1,3,2,6,8,7,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8)
[6,7,4,8,3,1,2,5] => [3,2,5,1,6,8,7,4] => [8,7,4,5,1,3,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,1,2,5,7,6] => [6,5,1,8,7,4,2,3] => [3,8,7,4,2,6,5,1] => ([(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,4,8,2,5,7] => [3,8,6,5,1,7,4,2] => [7,4,2,8,6,5,1,3] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,5,8,3,1,4,2] => [3,2,4,1,6,8,5,7] => [4,1,3,2,7,8,5,6] => ([(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7),(6,7)],8)
[3,4,8,1,5,7,6,2] => [6,5,1,8,4,2,3,7] => [3,7,8,4,2,6,5,1] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,4,8,2,5,7] => [3,6,8,5,1,7,4,2] => [7,4,2,8,5,1,3,6] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,5,8,4,1,3,2] => [3,2,4,1,5,8,6,7] => [4,1,3,2,5,7,8,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[1,4,3,6,5,8,2,7] => [8,5,6,3,4,1,7,2] => [7,2,4,1,6,3,8,5] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,8,2,3,5,4,1] => [3,2,1,7,6,4,5,8] => [3,2,1,5,7,6,4,8] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,8,6,2,3,7,4,1] => [4,1,3,7,6,2,5,8] => [5,7,6,2,3,4,1,8] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,4,7,6,2,5] => [8,1,6,5,2,3,7,4] => [3,7,4,6,5,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,6,7,2,5,3] => [5,1,8,3,2,7,4,6] => [6,7,4,8,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,8,4,6,5,7] => [7,8,6,1,5,3,4,2] => [4,2,5,3,8,6,1,7] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,3,2,8,5,4,6,7] => [8,6,7,1,4,5,3,2] => [5,3,2,4,7,1,8,6] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,5,7,2,6,4] => [1,6,8,4,2,7,3,5] => [1,5,7,3,8,4,2,6] => ([(1,4),(1,6),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,1,7,2,6,3] => [1,5,4,8,2,7,3,6] => [1,6,7,3,8,2,5,4] => ([(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,7,2,8,5,3,4,1] => [3,2,7,1,4,6,5,8] => [4,6,5,7,1,3,2,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[5,2,7,8,6,3,4,1] => [4,7,2,1,3,6,5,8] => [3,6,5,7,2,1,4,8] => ([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,6,7,3,5,1] => [5,7,1,3,2,6,4,8] => [3,2,6,4,7,1,5,8] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,8,7,5,6,2,4] => [6,8,1,2,4,3,7,5] => [2,4,3,7,5,8,1,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,7,8,6,4,2,3] => [4,8,2,1,3,5,7,6] => [3,5,7,6,8,2,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,2,8,4,1,7,3,5] => [3,7,1,5,8,2,6,4] => [6,4,8,2,5,7,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,3,4,8,1,6,2,5] => [2,6,5,1,8,3,7,4] => [7,4,8,3,6,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,3,4,8,1,7,2,5] => [3,6,5,1,8,2,7,4] => [7,4,8,2,6,5,1,3] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,4,8,1,2,7,6] => [4,6,5,1,8,7,2,3] => [3,8,7,2,6,5,1,4] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,8,1,2,7,6] => [5,6,4,1,8,7,2,3] => [3,8,7,2,6,4,1,5] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,2,3,7,6] => [8,1,4,5,7,6,2,3] => [3,7,6,2,4,5,8,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,8,1,2,7,6] => [5,4,6,1,8,7,2,3] => [3,8,7,2,6,1,5,4] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,7,1,2,4] => [3,4,6,1,2,8,7,5] => [2,8,7,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,7,1,2,4] => [4,3,6,1,2,8,7,5] => [2,8,7,5,6,1,4,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,1,7,2,5] => [5,3,6,1,8,2,7,4] => [7,4,8,2,6,1,5,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,7,4,2,6,3,5] => [8,1,2,5,7,3,6,4] => [2,6,4,7,3,5,8,1] => ([(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,6,1,2,4] => [4,2,6,1,3,8,7,5] => [3,8,7,5,6,1,4,2] => ([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,7,8,5,6,1,3,4] => [7,2,1,4,3,8,6,5] => [4,3,8,6,5,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,5,7,1,3,4] => [7,3,1,4,2,8,6,5] => [4,2,8,6,5,7,3,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,8,7,1,2,4] => [4,6,3,1,2,8,7,5] => [2,8,7,5,6,3,1,4] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,8,7,1,2,4] => [3,6,4,1,2,8,7,5] => [2,8,7,5,6,4,1,3] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,5,6,1,3,4] => [2,7,1,4,3,8,6,5] => [4,3,8,6,5,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,3,2,7,6,4,5] => [8,1,6,7,2,3,5,4] => [3,5,4,7,2,6,8,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,7,5,1,3,4] => [3,7,1,2,4,8,6,5] => [2,4,8,6,5,7,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,7,8,1,6,2,5] => [6,5,2,1,8,3,7,4] => [7,4,8,3,6,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,5,8,1,2,3] => [2,5,3,4,1,8,7,6] => [4,1,2,5,3,8,7,6] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[3,6,7,8,5,1,2,4] => [6,3,2,1,4,8,7,5] => [4,8,7,5,6,3,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,7,5,1,3,4] => [7,3,1,2,4,8,6,5] => [2,4,8,6,5,7,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,6,5,1,3,4] => [7,2,1,3,4,8,6,5] => [3,4,8,6,5,7,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[9,2,1,8,7,6,5,4,3] => [1,8,9,2,3,4,5,6,7] => [1,3,4,5,6,7,9,2,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[2,11,10,9,8,7,6,5,4,3,1] => [10,1,2,3,4,5,6,7,8,9,11] => [2,3,4,5,6,7,8,9,10,1,11] => ([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[5,2,8,7,6,4,3,1] => [4,7,1,2,3,5,6,8] => [2,3,5,6,7,1,4,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,6,1,5,4,3] => [1,7,2,3,8,4,5,6] => [1,3,5,6,8,4,7,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[9,3,1,8,7,6,5,4,2] => [1,7,9,2,3,4,5,6,8] => [1,3,4,5,6,8,9,2,7] => ([(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[10,2,1,9,8,7,6,5,4,3] => [1,9,10,2,3,4,5,6,7,8] => [1,3,4,5,6,7,8,10,2,9] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[11,1,10,9,8,7,6,5,4,3,2] => [1,11,2,3,4,5,6,7,8,9,10] => [1,3,4,5,6,7,8,9,10,11,2] => ([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[5,1,3,4,6,7,2,8] => [4,8,6,5,3,2,7,1] => [7,1,8,6,5,3,2,4] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,4,8,7,5,2,6] => [8,6,5,1,2,4,7,3] => [2,7,3,4,8,6,5,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,1,7,3,5,6] => [1,7,5,8,2,6,4,3] => [1,6,4,3,8,2,7,5] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,6,1,4,2,3,7,5] => [1,3,8,5,7,6,2,4] => [1,4,7,6,2,3,8,5] => ([(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,4,2,8,7,5] => [6,3,8,5,7,1,2,4] => [2,4,7,1,8,5,6,3] => ([(0,5),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,1,4,7,8,5,2,6] => [6,8,5,2,1,4,7,3] => [7,3,4,8,5,2,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,8,2,3,1,5,7,6] => [5,1,7,6,8,4,2,3] => [3,8,4,2,5,1,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,6,2,1,3,7,5] => [5,1,3,7,8,6,2,4] => [4,8,6,2,3,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,4,2,3,6,5] => [8,2,1,5,7,6,3,4] => [4,7,6,3,5,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,3,8,2,6,5] => [5,2,8,6,1,7,3,4] => [4,7,3,8,6,1,5,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,1,3,4,2,6,5] => [1,2,8,6,5,7,3,4] => [1,2,4,7,3,8,6,5] => ([(2,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,7,4,3,6,2,8,5] => [8,2,5,6,3,7,1,4] => [4,7,1,6,3,5,8,2] => ([(0,7),(1,3),(1,6),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,8,4,3,1,6] => [2,7,4,1,5,6,8,3] => [8,3,5,6,7,4,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,8,3,4,2,7,5] => [3,8,1,6,5,7,2,4] => [4,7,2,6,5,8,1,3] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,5,4,2,1,7] => [6,1,3,4,5,7,8,2] => [8,2,3,4,5,6,1,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,7,2,6,4,3] => [1,4,8,2,7,3,5,6] => [1,5,6,7,3,8,2,4] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[8,7,1,4,5,2,6,3] => [1,2,8,5,4,7,3,6] => [1,2,6,7,3,8,5,4] => ([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,1,5,4,2,6] => [1,2,6,8,4,5,7,3] => [1,2,7,3,5,8,4,6] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,2,4,3,5,6,7] => [1,8,7,5,6,4,3,2] => [1,6,4,3,2,8,7,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,8,7,6,5,2,1,4] => [6,1,2,3,4,7,8,5] => [2,3,4,8,5,6,1,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,9,5,6,3,4,1,2] => [2,3,1,5,4,7,6,9,8] => [3,1,2,5,4,7,6,9,8] => ([(0,5),(1,4),(2,3),(6,8),(7,8)],9)
[7,6,8,2,5,1,4,3] => [2,3,1,7,4,8,5,6] => [3,1,2,6,8,5,7,4] => ([(0,4),(1,4),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)
[9,8,10,6,7,4,5,2,3,1] => [2,3,1,5,4,7,6,9,8,10] => [3,1,2,5,4,7,6,9,8,10] => ([(1,6),(2,5),(3,4),(7,9),(8,9)],10)
[1,9,2,8,7,6,5,4,3] => [9,1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,9,1] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,8,7,4,2,6,5,3] => [8,1,2,5,7,3,4,6] => [2,4,6,7,3,5,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,1,7,6,4,3] => [7,1,4,8,2,3,5,6] => [3,5,6,8,2,4,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,5,1,2,7,4,3] => [3,1,4,8,7,2,5,6] => [5,6,8,7,2,3,1,4] => ([(0,2),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,1,4,7,6,5,3] => [7,1,8,5,2,3,4,6] => [3,4,6,8,5,2,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,4,3,2,6,5] => [8,1,2,5,6,7,3,4] => [2,4,7,3,5,6,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,2,7,6,3] => [8,1,4,5,7,2,3,6] => [3,6,7,2,4,5,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,11,10,9,8,7,6,5,4,3] => [11,10,1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,11,10,1] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(8,10),(9,10)],11)
[8,5,6,2,7,4,3,1] => [1,4,3,7,2,5,6,8] => [1,5,6,7,2,4,3,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,4,1,5,2] => [1,2,3,6,5,8,4,7] => [1,2,3,7,8,4,6,5] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,8,2,4,3,1] => [2,3,4,1,7,5,6,8] => [4,1,2,3,6,7,5,8] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[7,6,5,8,3,1,4,2] => [2,3,4,1,6,8,5,7] => [4,1,2,3,7,8,5,6] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[7,6,5,8,1,3,2,4] => [2,3,4,1,8,6,7,5] => [4,1,2,3,7,5,8,6] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6)],8)
[6,3,1,7,5,2,4,8] => [3,6,8,2,4,7,5,1] => [7,5,1,4,8,2,3,6] => ([(0,6),(0,7),(1,2),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,2,6,3,1,8] => [4,2,5,7,3,6,8,1] => [8,1,6,7,3,4,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,6,3,5,7,1,8] => [5,7,3,6,4,2,8,1] => [8,1,6,4,2,7,3,5] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,8,2,7,3,6] => [8,5,4,1,7,2,6,3] => [6,3,7,2,8,5,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,8,1,6,7,3] => [7,5,4,1,8,3,2,6] => [6,8,3,2,7,5,4,1] => ([(0,1),(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,7,4,2,5,8] => [3,8,6,2,5,7,4,1] => [7,4,1,5,8,6,2,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,6,8,2,7,4,5] => [6,8,3,1,7,2,5,4] => [5,4,7,2,8,3,1,6] => ([(0,1),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,8,2,5,4,7] => [3,8,6,1,7,4,5,2] => [5,2,7,4,8,6,1,3] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,2,3,1,6,7,5] => [5,1,7,6,8,3,2,4] => [4,8,3,2,5,1,7,6] => ([(0,1),(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,8,1,5,7,4] => [6,7,3,1,8,4,2,5] => [5,8,4,2,7,3,1,6] => ([(0,3),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,1,5,4,7,3] => [1,7,3,8,4,5,2,6] => [1,5,2,6,8,4,7,3] => ([(1,5),(2,6),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,7,1,5,4,3] => [1,3,7,2,8,4,5,6] => [1,5,6,8,4,7,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,4,2,8,1,6,3] => [4,2,5,7,1,8,3,6] => [6,8,3,7,1,4,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[6,3,7,2,8,1,5,4] => [3,6,2,7,1,8,4,5] => [5,8,4,7,1,6,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,8,1,5,6,4] => [7,2,6,1,8,4,3,5] => [5,8,4,3,6,1,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,6,8,5,2,4,3,7] => [8,3,1,4,7,5,6,2] => [6,2,4,7,5,8,3,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,8,3,1,7,2] => [5,4,3,1,6,8,2,7] => [7,8,2,5,4,3,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,6,5,3,1,7,2] => [1,5,3,4,6,8,2,7] => [1,7,8,2,4,5,3,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,8,3,1,7,2] => [4,3,5,1,6,8,2,7] => [7,8,2,5,1,4,3,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,6,2,3,7,5] => [5,1,8,3,7,6,2,4] => [4,7,6,2,8,3,5,1] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,2,3,7,5] => [1,5,8,3,7,6,2,4] => [1,4,7,6,2,8,3,5] => ([(1,4),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,7,2,5,3,1,8] => [5,3,2,7,4,6,8,1] => [8,1,6,7,4,5,3,2] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,4,8,1,5,2] => [6,3,2,5,1,8,4,7] => [7,8,4,5,1,6,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,7,8,2,6,5,3] => [8,5,2,1,7,3,4,6] => [4,6,7,3,8,5,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,8,1,6,5,3] => [7,5,2,1,8,3,4,6] => [4,6,8,3,7,5,2,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,8,7,1,5,3] => [5,7,3,1,2,8,4,6] => [2,6,8,4,7,3,1,5] => ([(0,7),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,8,2,7,5,4] => [3,8,6,1,7,2,4,5] => [4,5,7,2,8,6,1,3] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,8,4,2,7,6,3] => [4,8,1,5,7,2,3,6] => [3,6,7,2,5,8,1,4] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[2,7,3,8,1,6,5,4] => [7,2,6,1,8,3,4,5] => [4,5,8,3,6,1,7,2] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,5,8,6,3,1,7,2] => [5,4,1,3,6,8,2,7] => [7,8,2,3,5,4,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,1,8,2,7,5,4] => [6,3,8,1,7,2,4,5] => [4,5,7,2,8,1,6,3] => ([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7)],8)
[5,7,4,1,2,8,6,3] => [4,2,5,8,7,1,3,6] => [3,6,8,7,1,4,2,5] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,7,1,2,8,5,4] => [3,6,2,8,7,1,4,5] => [4,5,8,7,1,6,2,3] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,2,3,7,5,6] => [5,1,8,7,6,2,4,3] => [4,3,8,7,6,2,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,3,6,5,4,7] => [8,1,7,6,3,4,5,2] => [5,2,4,7,6,3,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,4,7,2,6,1] => [6,4,1,5,2,7,3,8] => [7,3,5,2,6,4,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,1,6,4,2,7] => [6,1,4,8,3,5,7,2] => [7,2,5,8,3,4,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,5,4,6,1,3,7] => [7,1,4,5,3,8,6,2] => [8,6,2,5,3,4,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,4,7,3,6,1] => [7,4,1,5,2,6,3,8] => [6,3,5,2,7,4,1,8] => ([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,1,6,2,7,8] => [6,4,5,8,3,7,2,1] => [7,2,1,8,3,5,6,4] => ([(0,1),(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,8,4,7,3,6,2] => [8,4,1,5,2,6,3,7] => [6,3,5,2,7,8,4,1] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,7,5,2,1] => [6,3,5,1,2,4,7,8] => [2,4,5,1,6,3,7,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,4,3,7,8,5,2] => [8,3,5,6,2,1,4,7] => [4,6,2,1,5,7,8,3] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[7,6,1,3,8,4,2,5] => [2,3,8,6,1,5,7,4] => [7,4,5,8,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,4,2,7,8,3,5] => [8,3,5,7,2,1,6,4] => [6,4,7,2,1,5,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[7,2,3,1,8,6,4,5] => [2,7,6,8,1,3,5,4] => [3,5,4,8,1,2,7,6] => ([(0,1),(0,5),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,3,4,1,6,8,5] => [2,7,6,5,8,3,1,4] => [4,8,3,1,2,7,6,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,8,1,6,5,4] => [2,7,6,1,8,3,4,5] => [4,5,8,3,7,6,1,2] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,4,8,7,1,5,3] => [7,3,5,1,2,8,4,6] => [2,6,8,4,5,1,7,3] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,8,4,7,6,2,3] => [8,4,1,5,2,3,7,6] => [3,5,2,7,6,8,4,1] => ([(0,5),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,1,3,8,2,6,5,4] => [2,8,6,1,7,3,4,5] => [4,5,7,3,8,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,5,8,2,7,3] => [5,8,3,4,1,7,2,6] => [6,7,2,4,1,8,3,5] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,4,8,3,7,1] => [4,7,3,5,1,6,2,8] => [6,2,5,1,7,3,4,8] => ([(1,3),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,4,8,2,7,3] => [4,8,3,5,1,7,2,6] => [6,7,2,5,1,8,3,4] => ([(0,3),(0,4),(1,2),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,5,8,1,6,2] => [5,6,2,4,1,8,3,7] => [7,8,3,4,1,6,2,5] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,5,8,2,6,1] => [5,6,2,4,1,7,3,8] => [7,3,4,1,6,2,5,8] => ([(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,4,8,2,6,1] => [4,6,2,5,1,7,3,8] => [7,3,5,1,6,2,4,8] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,1,6,2,7,3] => [4,5,1,8,3,7,2,6] => [6,7,2,8,3,5,1,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,7,2,6,1,8,5] => [5,6,2,7,3,8,1,4] => [4,8,1,7,3,6,2,5] => ([(0,2),(0,7),(1,3),(1,5),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,1,6,2,8,5] => [5,6,2,8,3,7,1,4] => [4,7,1,8,3,6,2,5] => ([(0,2),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,4,8,2,6,3,7,1] => [4,5,1,7,3,6,2,8] => [6,2,7,3,5,1,4,8] => ([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
Map
invert Laguerre heap
Description
The permutation obtained by inverting the corresponding Laguerre heap, according to Viennot.
Let $\pi$ be a permutation. Following Viennot [1], we associate to $\pi$ a heap of pieces, by considering each decreasing run $(\pi_i, \pi_{i+1}, \dots, \pi_j)$ of $\pi$ as one piece, beginning with the left most run. Two pieces commute if and only if the minimal element of one piece is larger than the maximal element of the other piece.
This map yields the permutation corresponding to the heap obtained by reversing the reading direction of the heap.
Equivalently, this is the permutation obtained by flipping the noncrossing arc diagram of Reading [2] vertically.
By definition, this map preserves the set of decreasing runs.
Let $\pi$ be a permutation. Following Viennot [1], we associate to $\pi$ a heap of pieces, by considering each decreasing run $(\pi_i, \pi_{i+1}, \dots, \pi_j)$ of $\pi$ as one piece, beginning with the left most run. Two pieces commute if and only if the minimal element of one piece is larger than the maximal element of the other piece.
This map yields the permutation corresponding to the heap obtained by reversing the reading direction of the heap.
Equivalently, this is the permutation obtained by flipping the noncrossing arc diagram of Reading [2] vertically.
By definition, this map preserves the set of decreasing runs.
Map
graph of inversions
Description
The graph of inversions of a permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
searching the database
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